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TED STATES RTMENT OF AMERCE

LICATION

k*10'cQ

NBS TECHNICAL NOTE 622

Thermophysical Properties

of Helium-4 from 4 to 3000 R

with Pressures to 15000 PSIA

U.S.

ARTMENT

OF

DMMERCE

National

Rwoau

of RC ds

oo

5153
NATIONAL BUREAU OF STANDARDS

The National Bureau of Standards1 was established by an act of Congress March 3,

1 901 . The Bureau's overall goal is to strengthen and advance the Nation's science and

technology and facilitate their effective application for public benefit. To this end, the Bureau conducts research and provides: (1) a basis for the Nation's physical measure- ment system, (2) scientific and technological services for industry and government, (3) a technical basis for equity in trade, and (4) technical services to promote public safety.

The Bureau consists of the Institute for Basic Standards, the Institute for Materials

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2 Part of the Center for Radiation Research.

3 Located at Boulder, Colorado 80302.
NOV 2 o 1972

1972 Thermophysical Properties

of Helium-4 from 4 to 3000 R

with Pressures to 15000 PSIA

Robert D. McCarty

Cryogenics Division

Institute for Basic Standards

National Bureau of Standards

Boulder, Colorado 80302

"feci- Y\& <•£ ^'

*. <>

*«"*au of *

U.S. DEPARTMENT OF COMMERCE. Peter G. Peterson, Secretary

NATIONAL BUREAU OF STANDARDS, Lawrence M. Kushner, Acting Director

Issued September 1972
National Bureau of Standards Technical Note 622

Nat Bur. Stand. (U.S.), Tech. Note 622, 146 pages (September 1972)

CODEN: NBTNAE

Issued September 1972

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402

(Order by SD Catalog No. C13.46:622).
Contents

Page

1. Introduction 1

2. Thermodynamic and Related Properties 1 2.1 PVT Surface 1 2.2 Derived Thermodynamic Properties 3 2.3 Related Properties 3 2.4 Heat Capacities 3

3. Transport Properties 4

3.1 Thermal Conductivity, 300 K and Below 4 3.2 Thermal Conductivity, 300 K and Above 5 3.3 Viscosity Below 100 K 9 3.4 Viscosity Between 100 and 300 K 10

3. 5 Viscosity for Temperatures Above 300 K . . . . 10

4. Surface Tension 11

5. Dielectric Constant 11

6. Index of Refraction 13

7. Thermal Diffusivity 16

8. Prandtl Number 16

9. Joule-Thomson Inversion Curve 16

10. The Melting Line 19

11. The Lambda Line 20

12. Summary 20

13. Bibliography 21 Appendix A, List of Symbols and Units 23

Appendix B, Fixed Points 24

Appendix C, Conversion Factors 24

Appendix D, Saturation Properties 26

Appendix E, Isobaric Properties 30

List of Tables

Table

Page

1. Uncertainties in the PVT Data 1

2. Index of Refraction of Saturated Liquid

Helium at Three Wavelengths 14

3. Joule-Thomson Inversion Curve 17

4. Melting Line for Helium-4 19

5. PpT of the Lambda Line 20

List of Figures

Figure

1. Range of PT Covered 2

2. PVT Range of Experimental Data

for Thermal Conductivity 6

3. Deviations between Calculated Thermal

Conductivity and Data by Kerrisk (1968) 7

4. Deviations between Calculated Thermal

Conductivities and Data by Golubev and Shpagina (1966) . 8

5. Deviations between Calculated and Experimental

Surface Tension Data 12

6. Index of Refraction for Saturated Liquid and Gaseous

Helium. Points are from Edwards (1 957, 1 958) ... 15

7. Joule-Thomson Inversion Curve 18
THERMOPHYSICAL PROPERTIES OF HELIUM-4 FROM 4 TO 3000 R

WITH PRESSURES TO 15000 PSIA*

Robert D. McCarty

Tables of thermophysical properties of helium 4 are presented for temperatures

from 4 to 3000 Rankine for pressures to 15000 psia. The tables include, entropy,

enthalpy, internal energy, density, volume, speed of sound, specific heat, thermal conductivity, viscosity, thermal diffusivity, Prandtl number and the dielectric constant for

74 isobars. Also included in the isobaric tables are quantities of special utility in heat

transfer calculations: (oP/oV) , (3P/BT) ,V(9H/dV) , V(oP/SU) , -V(dP/dV) , l/V(oV/oT)p

.

In addition to the isobaric tables, tables for the saturated vapor and liquid are given which include all of the above properties, plus the surface tension. Tables for

the PpT of the freezing liquid, PpT of the lambda line, index of refraction and the derived

Joule -Thomson inversion curve are also presented.

KeyWords: Density; dielectric constant; enthalpy; entropy; equation of state; fixed

points; heat transfer coefficients; helium 4; index of refraction;, Joule-Thomson

coefficient; lambda line; latent heat; melting point; Prandtl number; specific heats;

speed of sound; surface tension; thermal conductivity; thermal diffusivity; vapor pressure;

viscosity; volume.

* This work carried out at the National Bureau of Standards, supported by NASA-MSC

Contract T-1813A.

VI
1. Introduction

The purpose of this document is to assemble data on many of the properties of

helium commonly used in engineering calculations over as wide a temperature and

pressure range as is practical, and present these properties in a form which is convenient to the engineer. All of these properties have been critically evaluated and re- present the "best values" for that property at this time.

The properties of helium 4 have been of great interest to the scientific and

engineering community for many years. Much of the interest, and consequently the

work, has been in the more spectacular properties of helium II, the superfluid phase.

The properties of the superfluid are not included here except for the PpT of the

boundary where the transition to the superfluid begins.

2. Thermodynamic and Related Properties

2. 1 PVT Surface

The PVT surface described by McCarty (1972) was used to calculate all of the

thermodynamic and related properties. The tables given here are essentially the same

as those found in the referenced document. Figure 1 shows the range of PT covered by

these tables, and table 1 gives estimates of uncertainties in density.

Table 1. Uncertainties in the PVT Data

Temperature Range Pressure Range Uncertainty in Density

Average Maximum

0-2 atm 0.1% 0.5%

2 - 1000 atm 0.5% 1.5%

T c±5%, Pc ±20% 3% 8%

0-20 atm 0.5% 1%

20 - 1000 atm 1% 2%

- 100 atm 0.1% 0.5%

100 - 1000 atm 0.5% 2%

- 100 atm 0.05% 0.2%

100 - 1000 atm 0.1% 1%

- 100 atm 0.1% 0.5%

100 - 1000 atm .2% 2%

2 - 20 K 0-2 atm 0.1% 0.5% I (except in

2 - 20 K 2 - 1000 atm 0.5% 1.5% J critical region)

Critical region

20 - 70 K

20 - 70 K 20 - 1000 atm 1% 2% (no reliable experimental data)

70 - 150 K

70 - 150 K

150 - 400 K

150 - 400 K

400 - 1500 K

400 - 1500 K
^1

m o xr

O

O ro

OO

10

10

UUjD *d

T3

<D

(H>oU

En

ft

W)dy
2. 2 Derived Thermodynamic Properties

The enthalpy, H, speed of sound, W, entropy, S, and the internal energy, U, were

calculated directly from the equations taken from McCarty (1972) and should be identical

to those of McCarty when the proper unit conversions are applied.

2. 3 Related Properties

A number of parameters such as the specific heat input [v(dH/3V) ] are of use

to the engineer. Several of the more useful quantities of this kind have been tabulated

here for the convenience of the user. These quantities have been derived from the

equation of state in the following manner.

Specific heat input

•v(#) -POp[(|E-)/(^) ]

(1)

Energy derivative

§ = V

5P

dU V

V

C v oPBT

(2)

Isothermal bulk modulus

a = V

Volume expansivity

9P_

9V = -P 9p

5P

Sp

(3)

(4)

2.4 Heat Capacities

The heat capacities, C , C which appear in this document are taken from

McCarty (1972). Except for the critical region and near the boundaries of phase changes,

the uncertainty of the tabulated specific heats is estimated to be no greater than 5%.

At the critical point, and along the lambda line, the specific heats become

anomalous and no realistic estimates of accuracy may be made.
3. Transport Properties

3. 1 Thermal Conductivity, 300 K and Below

For temperatures below 300 K, the thermal conductivity for helium-4 has been

calculated using the following equations.

X = X Q

(T) X (p,T) + X c (p,T) (5)

where X (T) is the dilute gas contribution, X (p, T) corrects the dilute gas value for

increasing densities and X (p, T) predicts the enhancement in thermal conductivity in the

region near the critical point. The dilute gas contribution, X (T) for this temperature

region has been calculated from

X (T) . e Z »" T> ,6)

If x = in T, then

Z(T)= -4. 3611622157 + 1.9250159286 x -0. 52544120165 x

2 + 0. 090045763885x

3

-0.0054773874708x4

(7)

where T is in Kelvin and X is in mW/cm-K.

o The X (Pi T) of equation (5) is given by

X y

<P,T) = e< B< T)P + C < T> p2

>

. (8)

if x = in T, then

B(T) = EXP(4. 7470660612 - 5. 3641468153x + 3. 4639703698x

2

- 1. 0702455443x3

+ 0. 1571349306x4

- 0. 0089214004 7x

5

(9)

and

C(T) = 2.2109006708 + 187. 741 74808/T - 1281. 0947055/T2 + 3645. 2393216/T3

- 3986.6937948/T4

(10)

3 where T is in Kelvin and p is in g /cm . The X (p, T) of equation (5) is given by

X (p,T) = 0.000649578 AC (p,T) (11)

c p

where the AC is the C at p and T minus the C at p and T = 11.83 K. For T > 11.83 K,

B P P

p > . 12 g/cmj or AC negative, X (p, T) is taken to be zero. The units of C must

p

C If be J/mol-K and the resulting units of thermal conductivity are mW/cm-K. There are

no known thermal conductivity measurements for helium-4 in the region of the critical

4
point, and equation (11) is based on values scaled from hydrogen. The other term in

equation (5), the X (T) X v (p,T) term relies heavily on two sources of experimental

data, Golubev and Shpagina (1966) and Kerrisk (1968). These data were used by Roder

(1971) and Arp (1971) to determine equations (7, 9, 10). Figure 2 shows the pressure

and temperature regions covered by these two sources and figures 3 and 4 show typical

differences, including the maximum differences, between the calculated and experimental

conductivities.

3. 2 Thermal Conductivity, 300 K and Above

When correlating thermal conductivity data it is common procedure to separate

the equation into additive parts, with the X (T), or dilute gas contribution being a function

of temperature only and X_,(p, T), called the excess or dense gas contribution being a function of density and temperature. For the heavier fluids, the temperature dependence

of X (p, T) is so slight that it is usually neglected; however for helium this is not the case,

and although equation (5) is multiplicative rather than additive, it does take into account the

temperature dependence of the excess function. Since no experimental data above 300 K

were used in obtaining the various parts of equation (5) it was not used for temperatures

above 300 K. For temperatures greater than 300 K, the thermal conductivity has

been calculated using the following equations

X = X'(T) + \_(p,T) (12) O ili

/ 0.71938V (12. 451/T - 295.67/T

2

- 4.1249)

X'(T) = \1.53220256T )\e + C (13)

where T is in Kelvin,X'(T) is in mW/cm-K and C is a constant such that X (T) from

o o equation (13) = X (T) from equation (6) at T = 300 K.

o
2.0

Golubev , Shpagina (1966) -

± _L

~I.8K

_L

Kerrisk

(1968)

0.08 0.16

DENSITY, g/cm3

0.24

Figure 2. PVT Range of Experimental Data for Thermal

Conductivity.
o

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ro

w

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T)doU

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TM ni —

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CO ^ a «« 4J

flj P i-l> T3

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o

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H -S

TM CO 2

T3

.—

1

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0)

<i) 43

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4= >s

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0|D0 y_dX9

y
In selecting a suitable representation of the dilute gas contribution for temperatures above 300 K, the correlation by Tsederberg, et al. , (1969) was considered but was not used for two reasons. First, their value at 300 K was in disagreement with our

best estimates by an excessive amount and, second, the \ at higher temperatures,

(2000 °C), were not theoretically consistent with the recently measured dilute gas

viscosities, Guevara, et al. , (1969). The representation which was finally selected

(equation 13) is from Maitland and Smith (1971), and was selected because the above

two objections to the equation proposed by Tsederberg, et al. , (1969) were

not present. The original equation from Maitland and Smith (1971) is for the dilute

gas viscosity and has been converted to thermal conductivity by a proportionality constant.

The \„(p, T) of equation (12) is given by

E

\_(p, T) = Wp) = \ (300) [\ (p, 300) - l] (14)

Hi ill o y

evaluated at p and T = 300 K. Thus equation (5) and equation (12) will give identical

results for all p at 300 K.

3.3 Viscosity Below 100 K

For temperatures of 100 K and below the equation

in 11= T\' (T) + T|£ (p,T) (I 5 )

was used to calculate the viscosity for helium. If y - in {T) , then

q/ (T) _ _0.135311743/x + 1.00347841 + 1.20654649x - 0. 149564551x 3

+ 0.01252084l6x3 (16)

and

11' (p,T) = p B(T) + P

3 C(T)+ P

3 D(T) < 17 > iti

where p is in g/cm3, and

B(T) = -47.5295259/x + 87.6799309 -42.0741589x + 8.33128289x3 -0. 589252385x3 (18)
C(T) = 547.309267/y -904.870586 +431.404928x - 81 . 4504854X 2

+5.37008433x3 (19)

D(T) = -1684. 39324/x +3331.08630 -l632.19172y + 308. 80441 3x s

- 20.2936367x3

. (20)

The resulting viscosities are in u g/cm- s. Equations (15-20) are from Steward, et al. (1971),

Steward's work included new measurements from 4 to 20 K at pressures from the dilute

gas region to 10 MN/m2

. Steward reports a standard deviation of .032 in the natural log

of the viscosity in the units of (ig/cm- s. In addition, Steward proposes the possibility of an uncertainty of ± 8%.

3.4 Viscosity Between 100 and 300 K

Steward included a few points calculated from the Enskog theory (Hanley, et al. , 1971) when the equations (15-20) were derived. He found this necessary to enable the use

of these equations up to 300 K; however, from 100 to 300 K the dilute gas values of Steward differ by 2.5% from a recent correlation by Maitland and Smith (1971). Since

Steward reports using calculated dilute gas values and the correlation of Maitland and

Smith is based on experimental data, the dilute gas values of Maitland and Smith were used

for all T > 110. Between 100 and 110 K, a linear average of the dilute gas values of

Steward and Maitland and Smith was used. In the 100 to 110 K temperature range the dense

gas contribution for viscosity was calculated from Steward's equations. The equations for

viscosity between 100 and 300 K are:

Tl(p,T) = 7) (T) + 71 E

(p,T) (21)

where

„ ,_. 10 ,_. 71938 (12. 451/T -295. 67/T2 -4.1249) (22)

7| (T) = 1 9oT e

and

= J.T\' (T)+ TTE

(p,T)]

_ e

[ Tl* (T) + VE

(0,T) ] (23)

where p is in g /cm3

, T in Kelvin, and Tl is in p,g/cm- s.

3.5 Viscosities for Temperatures Above 300 K

Since Steward's analysis did not include any dense gas data for temperatures above

300 K, either calculated or experimental, the temperature dependence of the excess

function given by equation (23) was frozen at 300K. When equation (23) is fixed at 300 K,

the resulting equation is a function of density alone and gives results similar to the excess

10
function of Tsederberg, et al. , (1969). Therefore, for temperatures above 300 K, the

viscosities were calculated using equations (21-23) except that equation (23) was always

evaluated at p and T = 300 K. The uncertainty of the viscosity for T > 100 K is estimated to be maximum of ± 10%.

4. Surface Tension

The surface tension for helium-4 has been calculated using the equation

y = Yo ( 1 " T/T c

) (24)

where yo =0.5308 dyn/cm and T c

= 5.2014 K. The y is based on a least squares

fit of equation (24) to the data of van Urk, et al. , (1925). Since the least squares fit

of equation (24) was performed two sources of experimental data have appeared.

These are Dickson, et al. , (1970), and Devaraj and Hollis-Hallett (1967).

Figure 5 shows that vo would not change appreciably if these new data were included in a refit.

5. Dielectric Constant

The dielectric constant of a fluid may be calculated from the Clausius-Mossotti

equation:

e - 1 1

e + 2 p = P (25)

where e is the dielectric constant, p is the density, and p is the specific polarizability

a property of the substance having dimensions of specific volume. Recent measurements

of the dielectric constant by Kerr and Sherman (1970) indicate that for helium-4 the

specific polarizability is a weak function of density and that the first density correction is negative. For the calculations here, the equation:

p = 0. 123396 - 0.0014 p (26)

was used, where p is the specific polarizability in cm3 /g and p is the density in g/cm3

. The uncertainty of the tabulated values of dielectric constant is estimated to be 0.01%.

H
16

8 8-

IQ.X

15 4

<

>

UJQ

$5

-8

12

A A

A A

- Dickson, Caroline & Mendoza

A- Devaraj, Hallett O- Allen 8 Misener

Xcalc = 0.5308 ( I - T/Tc )dyne/cm

AA

NOTE .' Constants in ^^Eq. determined

from VanUrketal. 1925 data. Average

deviation from %oiJor this data is 2.59 %.

O

O o

°o%° °o

o

o

Qd

2.0 2.5 3.0 3.5 4.0

TEMPERATURE, K

4.5 5.0

Figure 5. Deviations between Calculated and Experimental

Surface Tension Data.

12
6. Index of Refraction

The refractive index of a non-polar fluid depends on the wavelength of the incident

radiation and on the density of the fluid. However, the dependence on wavelength can be

treated independently of the dependence on density. The Cauchy dispersion formula:

r A

= r(p,A) = rjp) + 91 /A2 + 9 S /A4 (27)

assuming the equivalence of the Maxwell's relation

(28)

to

P = rm

(29)

allows the calculation of r from the polarizability as a function of density and

r m (p) = 0. 123396 -0.0014 p (30)

where p is density in g/cm3. Equation (30) was then substituted for the first term in equation (27) and Q. and 9

3 were determined by least squares estimation using

dispersion data from Landolt-B6'r nstein (1962). The resulting values were

T =33701.617944 and 9., =-12325284955. The specific refraction, r. , is incm3 /g,

density, p, is in g/cm3

, and the wavelength, A, is in A. Values of the index of refraction n in table 2 have been calculated from equations (27), (30), and (31).

_

r "* - 1 I

A "ns + 2 p (31)

A comparison between experimental measurements of the index of refraction (Edwards,

1956, 1957, and 1958) and those calculated using equation (31) shows agreement to better than 0. 1%, except with those values from the 1956 reference. Edwards (1956) and

(1958) papers both report values of the index of refraction for the saturated liquid of

helium-4. However, the values in the 1956 paper are about 4% higher than those in the

1958 paper, and the 1956 values are presumed to be in error. Figure 6 shows n as

a function of density for the saturated vapor and saturated liquid conditions. The

points are from Edwards (1957 and 1958).

13
Table 2. Index of Refraction of Saturated Liquid Helium at Three Wavelengths

Temp 4358 A 5462 A 6939 A

K n n n 2.2 1.02881 1.02867 1.02857

2.4 1.02864 1.02849 1.02839

2.6 1.02841 1.02827 1.02817

2.8 1.02814 1.02800 1.02790

3.0 1.02782 1.02768 1.02759

3.2 1.02745 1.02731 1.02722

3.4 1.02703 1.02690 1.02681

3.6 1.02656 1.02643 1.02634

3.8 1.02602 1.02589 1.02580

4.0 1.02541 1.02528 1.02520

4.2 1.02471 1.02459 1.02450

4.4 1.02389 1.02377 1.02369

4.6 1.02290 1.02278 1.02270

4.8 1.02163 1.02152 1.02145

5.0 1.01986 1.01976 1.01969

14
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CD

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(0 a

T>d

n) T> . 3 oo

cr1 in H rrh-l r-H T3 „

CD r-

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trt CO 10 TJM

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1—1 ft . vOu

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W) o 00 sf O CO cvj ro CM CM CVJ O o O o o o

00oo oo ooo

15
7. Thermal Diffusivity

The thermal diffusivity of a fluid is defined as

°c = X/(p Cp) (32)

where oc is the thermal diffusivity, \ is the thermal conductivity, and C is the

IT specific heat at constant pressure. The tabulations of thermal diffusivity in appendices

D and E have been calculated using the above equation, and p, X, and CD

in the tables.

The uncertainty of oc is estimated to be 20%, except in the critical region.

8. Prandtl Number

The Prandtl number is frequently used in engineering calculations and is defined

as: Pr = C

p

T] / X (33)

where Pr is the Prandtl number, Cn

is the specific heat at constant pressure, T| is the

viscosity, and X is the thermal conductivity. The tabulations of the Prandtl number in appendices D and E have been calculated from equation (33) using values of T), X, and Cn from adjacent entries in the tables. Since Pr is a function of both T] and X, the

uncertainty in Pr could be as much as 25%.

9. Joule-Thomson Inversion Curve

The Joule- Thomson coefficient for a fluid is defined as:

J = ( T/9P)H

. (34)

The locus of points where J = is called the Joule- Thomson inversion curve: see figure

7. The inversion curve as given in table J has been calculated using the relationship:

T OP/oT) = p ( P/ S p) T (35)

and the equation of state from McCarty (1972).

16
Temperature

K R

4.5 8.1

5 9.0

6 10.8

7 12.6

8 12.4

9 16.2

10 18.0

12 21.6

14 25.2

16 28.8

18 32.4

20 36.0

22 39.6

24 43.2

26 46.8

28 50.4

30 54.0

32 57.6

34 61.2

36 64.8

38 68.4

40 72.0

42 75.6

43 77.4

Table 3. Joule-Thomson Inversion Curve

Pressure Density

atm psia mol/i lb/ft3

1.821 26.76 30.83 7.703

3.768 55.37 30.68 7.667

7.266 106.8 30.03 7.504

10.74 157.8 29.53 7.378

14.10 207.2 28.99 7.245

17.31 254.4 28.43 7.106

20.36 299.2 27.86 6.962

25.57 375.8 26.42 6.602

29.29 430.5 24.72 6.177

32.07 471.3 23.07 5.764

34.44 506.2 21.61 5.400

36.18 531.7 20.20 5.046

37.33 548.6 18.82 4.703

37.93 557.4 17.48 4.367

37.98 558.2 16.15 4.035

37.48 550.8 14.83 3.705

36.40 535.0 13.49 3.372

34.71 510.1 12.13 3.030

32.32 475.0 10.71 2.675

29.13 428.0 9.194 2.297

24.89 365.8 7.527 1.881

19.11 280.8 5.567 1.391

9.80 144.0 2.780 .695

.03 .5 .009 .002

17
>

d

U

do

01U

CD

l—

I

d

o

wO

i <D

i-id

o

u

d

H'l

18
10. The Melting Line

The melting curve for helium may be calculated using the Simon melting equation.

P = -17.80 + 17.31457 T

1,555414

(36)

where P is in kg/cm2 and T is in Kelvin. The constants in equation (36) were reported

by Mills and Grilly (1955), and were based on their experimental data which extended

from the upper lambda point to 30. 77 K where they found the melting pressure to be

3555.6 kg/cm2. In a later paper (Grilly and Mills, 1959) a separate equation is reported

for temperatures between 1.8 and 5.2 K. This equation is: P = 33.28 - 44. 156 T + 31.799 T

2

- 4.8159 T

3 + 0.30313 T

4 (37)

where P is in kg /cm2 and T is in Kelvin. The values in table 4 have been calculated

using equation (37) for T £ 5.2 and equation (36) for T > 5.2

Table 4. Melting Line for Helium-4

Temp sratur e Pressure Liquid Density

K R atm psia mol/i lb/cu-ft

2.0 3.60 37.25 547.4 46. 18 11.540

2.5 4.50 56.35 828.2 48.67 12.162

3.0 5.40 78.91 1159.6 50.97 12.737

3.5 6.30 103.83 1525.9 52.94 13.229

4.0 7.20 130.49 1917.7 54.63 13.650

5.0 9.00 188.67 2772.8 57.54 14.378

6.0 10.80 254.77 3744.

60.25 15.055

7.0 12.60 328.47 4827.1 62.85 15.704

8.0 14.40 408.27 5999.9 65.30 16.317

9.0 16.20 493.81 7257.1 67.63 16.900

10.0 18.00 584.82 8594.4 69.85 17.455

12.0 21.60 782.21 11495.4 73.91 18.468

14.0 25.20 998.83 14678.8 77.37 19.332

16.0 28.80 1233.37 18125.7 80.43 20.096

18.0 32.40 1484.81 21820.8 83.34 20.824

20.0 36.00 1752.29 25751.6 86.07 21.507

22.0 39.60 2035.05 29907.

88.67 22. 156

24.0 43.20 2332.48 34278.91. 17 22.780

26.0 46.80 2644.01 38856.3 93.60 23.387

28.0 50.40 2969. 14 43634.5 95.98 23.983

30.0 54.00 3307.44 48606.2 98.34 24.573

19
Table 5. PpT of the Lambda Line

Temperature Pressure Density

K R

2. 172 3. 910

2.15 3.87

2. 10 3.78

2.05 3.69

2.00 3.6

1. 95 3.51

1. 90 3.42

1.85 3.33

1.80 3.24

1.763 3. 174

Pr essure atm psia

0.0497 .730

2.33 34.24

6.84 100.5

10.91 160.3

14.68 215.7

18.22 267.8

21.55 316. 7 24.70 363.0

27.67 406.6

29.74 437.1

g/cm3 lb /ft3

0.1462 9.127

0.1506 9.402

0. 1576 9.839

0. 1627 10.16

0.1669 10.42

0.1705 10.64

0. 1736 10.84

0. 1763 11.01

0.1788 11.16

0.1804 11.26

11. The Lambda Line

The boundary of the superfluid phase (helium II) of liquid helium-4 is known as

the lambda line. The lambda line begins at 2. 172 K on the saturated liquid line and

continues through the liquid phase to intersect the melting curve at 1.763 K. Table 5 gives the PpT of the lambda line as reported by Kierstead (1967).

12. Summary

The lack of sufficiently accurate experimental data for helium between the

temperatures of 2 and 70 K has hampered the efforts of correlating the PVT surface by

McCarty (1972). This is especially important for the temperature range of 2 - 20 K where

small amounts of accurate data do exist but these data cover very restricted ranges of

temperature and pressure. A single set of self consistent data covering the entire

pressure and temperature range is needed.

The purpose of the previous sections has been to describe where or how the values

were obtained in assembling the various tables and graphs presented here. Most of the

material has been taken from McCarty (1972) and formulas and descriptions given there

have not been repeated here.

In addition, an effort has been made to assign realistic uncertainties in the data

wherever possible. Uncertainty is defined here to be an estimate of accuracy at a 95%

confidence level. These assignments are made in the text of the section or subsection

concerned with that property. Finally, the number of digits in the tables of appendices

D and E should not be taken as an indication of accuracy of the number. The tabulations are a direct copy of computer printouts where it is often necessary to present more digits

for a property than its accuracy justifies.

20
13. Bibliography

Allen, J. F. and Miesner, A. D. , The Surface Tension of Liquid Helium, Camb. Phil.

Soc. 3£, 299 (1938).

Arp, V., Ballinger, E. R. , Giarratano, P. J., Roder, H. M. , Smith, R. V.,

Snyder, JNT. S. , Steward, W. G. , and Wallace, G. H. , Helium Heat Transfer,

Unpublished Data (1971).

Devaraj, N. and Hollis-Hallet, A. G. , The Surface Tension of Liquid Helium I and the

Law of Corresponding States, Can. J. Phys. 4_5, 2113 (1967).

Dickson, D. P. E. , Caroline, D. , and Mendoza, E. , Surface Tension of Liquid

4 Helium, Phys. Lett. 3_3A , No. 3, 139 (1970).

Edwards, M. H. , The Index of Refraction of Liquid Helium, Can. J. Phys. 34,

898 (1956).

Edwards, M. H. , Refractive Index of He4

: Saturated Vapor, Phys. Rev. 108 , No. 5,

1243 (Dec 1957).

Edwards, M. H. , Refractive Index of He4

: Liquid, Can. J. Phys. 36., 884 (1958).

Grilly, E. R. and Mills, R. L. , Melting Properties of He3 and He4 up to 3500 kg/cm2

, Ann. Phys. 8, 1 (1959).

Golubev, I. F. and Shpagina, I. B. , Thermal Conductivity of Helium at Temperatures

from 273. 65 to 21.15 Degrees K and Pressures From 1 to 500 Atmospheres

,

Gaz. Prom. 11, No. 8, 40 (Aug 1966).

Guevara, F. A. , Mclnteer, B. B. , and Wageman, W. E. , High Temperature Viscosity

Ratios for Hydrogen, Helium, Argon and Nitrogen, Phys. Fluids J_2, No. 12, 2493

(Dec 1969).

Hanley, H. J. M. , McCarty, R. D. , and Cohen, E. G. D. , Analysis of Transport

Coefficients for Simple Dense Fluids: Application of the Modified Enskog Theory,

Physica (1972).

Kerr, E. C. and Sherman, R. H. , The Molar Polarizability of 3 He at Low

Temperatures and its Density Dependence, J. Low Temp. Phys. _3, No. 5, 451 (1970).

Kerrisk, J. F. , The Thermal Conductivity of Liquid Helium-4 and Liquid Helium- 3,

Doctoral Dissertation, University of New Mexico, Albuquerque, N.M. (Jun 1968).

Kierstead, H. A., Lambda Curve of Liquid He4

, Phys. Rev. 162 , No. 1, (Oct 1967).

Landolt-Bornstein Tables, 6

th Edition II, Part 8, 872 (1962).

Maitland, G. C. and Smith, E. B. , The Viscosities of Eleven Common Gases: A

Critical Compilation, Physical Chemistry Laboratory, South Parks Road, Oxford,

England (Sep 1971).

McCarty, R. D. , The Thermodynamic Functions for Helium-4 for Temperatures from

2 to 1500 K with Pressures to 100 MN/m3

, NSRD Monograph (to be published) (1972).

21
Mechtly, E. A. , The International System of Units, Physical Constants and Conversion

Factors, NASA-SP-7012 (1964).

Mills, R. L. and Grilly, E. R. , Melting Curves of He3

, He4

, H3 , D2 , Ne, N2 and Os up to 3500 kg/cm2

, Phys. Rev. ^9, No. 2, 480 (Jul 1955).

Roder, H. M. , Private Communication (1971).

Steward, W. G. and Wallace, G. H. , Helium4 Viscosity Measurements 4 to 20 K, to

10 MN/m3

, Unpublished Data (Sep 1971).

Tsederberg, N. V. , Popov, V. N. , and Morozova, N. A. , Thermodynamic and

Thermophysical Properties of Helium, Moscow (1969), Translated by the Israel

Program for Scientific Translations, Jerusalem (1971), Available from the U. S. Department of Commerce National Technical Information Service, Springfield, Va. van Urk, A. Th. , Keesom, W. H. , and Onnes, H. K. , Measurements of the Surface

Tension of Liquid Helium, Communs. Phys. Lab. Univ. Leiden, No. 179a (1925).

22
Appendix A. List of Symbols and Units

The calculation of the tables and properties presented here was performed in manydifferent systems of units, and converted to engineering units at the very end of the

calculations; therefore the reader is cautioned to pay particular attention to the units

when consulting individual sections of this document. All conversion factors have been

taken from the National Aeronautics and Space Administration Report Number SP-7012

(Mechtly 1964).

R = gas constant, 2.68111 ft3

- psia/lb m -R

P = pressure, psia

V - specific volume, ft3 /lb rn T = absolute temperature, degrees Rankine

p = density, lb m/ft3 C = specific heat at constant pressure, BTU/lbm -R

Cv

= specific heat at constant volume, BTU/lb m -R

S = entropy, BTU/lb m -R

H = enthalpy, BTU/lbm

U = internal energy BTU/lb m

W = speed of sound, ft/s

(oP/dT) = isochore derivative, psia/R

(dl?/dp)T = isotherm derivative, ft3

- psia/lb m

9 - specific heat input, BTU/lb m

$ = energy derivative, psia ft3 /BTU

a = isothermal bulk modulus, psia

g = volume expansivity, 1 /R

n = index of refraction, dimensionless

r = specific refraction, ft3 /lb m

Pr = Prandtl number, dimensionless

p = specific polar izability, ft3 /lb m

J = Joule-Thomson coefficient, R/psia

X - thermal conductivity, BTU/ft-h-R

T| = viscosity, lb /ft

e = dielectric constant, dimensionless

y

= surface tension, lbf/in

A = wavelength, angstrom

oc = thermal diffusivity, ft2 /h

23
Appendix B. Fixed Points

Critical Point

Pc = T„ =

32. 99 psia (2. 245 atm)

9.3625 R (5.2014 K)

4.348 1b m/ft3 (0.017399 mol/cm3

) Normal Boiling Point

P = 14.696 psia (1 atm)

T = 7.604 R (4.224 K)

P 1.054 lb m

/ft3 (0.004220 mol/cm3

) 7.802 lb m/ft3 (0.03122 mol/cm3

)

gas

Pliquid =

Lower Lambda Point

P = 0. 730 psia (0. 0497 atm)

T = 3.919 R (2. 177 K)

" 1 iqu id Upper Lambda Point

P

T

" liquid

9. 127 lb m /ft3 (0.03653 mol/cm3 m )

437. 1 psia (29.74 atm)

3. 174 R (1. 763 K)

11.26 lb m /ft3 (0.04507 mol/cm3

)

Appendix C. Conversion Factors

Temperature

Pressure

Specific Volume

Internal EnergyEntropy, Specific Heat

Thermal ConductivityViscosity

Speed of Sound

Molecular Weight

Surface Tension

1.8 R = IK

14.695949 psia = 1 atm = 1.01325 x 105 N/m3

0.004002013 ft3 /lb m = 1 cm3 /mol

0.107483 BTU/lbm = 1 J/mol

0. 0597126 BTU/lbm R = 1 J/mol-K

0.0578176 BTU/ft-hr-R = 1 mW/cm-K

0.067196897 lb m/ft-s = 1 g/cm-s

3.2808 ft/s = 1 m/s = m/s

4.0026**

0. 5710147 x 10" 5 lbf/in = 1 dyn/cm

(1 dyn = 10" 5 N)

* Fixed Points from McCarty (1972) ** On the C

13 = 12.000 scale

24
25
Appendix D, Saturation Properties THERMODYNAMIC PROPERTIES OF COEXISTING GASEOUS AND LIQUID HELIUM

TEMP

DEG. R

• 3.919

* 3.919

<1.0 4.0

<».l

"•.1

4.2 4.2

i».3 4.3

li.lt

it.

5

It. 5

"4.6 4.6

it.

7

4.7

<t.

a

<t.S 4.9

it. 9

5.0 5.0

5.1

5.1

5.2

5.2

5.3 5.3

5.4

5.4

5.5 5.5

5.6

5.6

5.7 5.7

5.6

5.8 5.9 5.9

6.0

6.0

6.1

6.1 6.2

6.2

6.3

6.3

6.4

6. it

6.5

6.5

6.6 6.6

6.7 6.7

6.8

6.8

PRESS

PSIA 0.7303

0.7303

0. 81<t6 0.3146

0.9266 0.9266

1.049

1.01.9

1.181 1.181 1.325

1.325

1.1*61 1.481 1.649

1.649 1.829 1.829

2.022

2.022

2.229 2.229

2.450

2.1.50

2.686

2.685

2.936 2.936

3.202

3.202 3.484

3.484

3.782

3.782

it. 097

It. 097

•.1.30

It. 1.30

It. 780

It. 780

5.11.8

5.11.8

5.536 5.536

5.9lt2

5.91.2 6.368 6.368

6.815

6.815

7.282 7.232

7.770

7.770

8.280 8.280

8.311 8.811 9.365

9.365

VOLUME ISOTHERM DERIVATIVE

CU ET/LB CU FT-PSIA/LP

ISOCHORE INTERNAL ENTHALPY

DERIVATIVE ENERGY PSIA/R BTU/LP B BTU/LB

ENTROPY BTU/LB-R

CV CP

9TU / LB -R

VELOCITY

OF SOUND FT/SEC

0.,1096

13,,61 9,,36

0,,1097 106,,B 12,,1.0 9,,1.7

0,,1098 105,.0 11,.12 9,,61

0,,1100 104,,0 10,,01 9,,73

0,,1102 103,,0

9,,052 9,,85

0,,1104 102,,0

8,,211 10,,B

0,,1106 100,,0

7,,it73 10,,1

0.,1109 98..3

6,,821 10,,1

0,,1112 96,,6

6,,2ltlt 10,,2

0,,1115 91.,,8

5.,731 10., 3

0.,1118 92,,8

5,,273 10, it

0,,1121 90,,q

it. .862 10., it

0,,112Il 88.,8

it, ,it9lt 10,,5

0,,1127 86.,7

it,,162 10.,5

0,,1131 84,,6

3,,861 10,,5

0,,1135 82,, It 3,,589 10,,5

0,,1139 80,,2

3.,3lt2 10,,5

0,,111.3 77,,9

3.,116 10,,5

0,,lllt7 75.,7

2,,910 10,,5

0,,1152 73,,«. 2,,721 10.,5

0,,1157 71,,1

2,,5lt8 10,,5

0,,1162 68,,8

2,.389 10,, It

0,, 1167 66,,5 2 . 21.2 10,,3

0..1172 61.,,2 2 ,107 10,,3

0,.1173 61,,9

1..981 10,.2

0,.1183 59,,6

1,,865 10.,1

0,,1190 57., 7

1,, 757 10,,0

0,,1196 55,,0

1,,657 Q,,88

0,,1203 52,,7

1,,561. 9,,75

0,,1210 50,,5

1,.477 9. 61

13,

0,.7,220

l.ii23 9.1itl

1, 11.

,41.0 ,01

15.

0,

,7

, 2lt6 l.lt90 9.200

1. 11,,509

,11

17,

0.

,5,27It 1.550 9.258

1, 11,,572

.20

19,

0.

,0,303 1.606 9.3161, 11,,630

.30

20,

0,

,tt ,331. 1.659

9.372

1. 11,,686

.39

21,

0,

,6,368 1.71C

9.1.27

1, 11.

,71.0

,1.8

22,

0,,6

.itOit 1.760

9.1.61

1, 11.,794

,56

23,

0.,5

.1.1.2 1.8109.531.

1, 11.

,81.7 .65

2it,0,,3

,1.82 1.860 9.5ae

1. 11,,902

,73

25.

0.

,1,525 1.91C 9.636

1, 11..956

,81

25,

0.,7.570 1.962

9.66F

2, 11,,012

.69

26.

0.

. 3,618

2.011.

9.731.

2, 11,,070

,97

26.

0,

,8,668 2.067

9.781

2. 12,.128

,01.

27,

0,

.3,72? 2.122

9.827

2. 12.,189

,12

27,

0,

,7,778 2.177

9.871

2, 12,,251

,19

28,

0,.1.837

2.231. 9.911.

2, 12,,314

,25

26.

n.,5,899 2.2939.96

2, 12,,380

,32

28.

0,

.8.965 2.353

10.00

2, 12.,447

,38

29.

1,.1,03

2.1.11. 10.03

2. 12.,516

.44

29,

1,

,lt ,11

2.1.77 10.07

2, 12.,587

,50

29.

1.,6,13 2.54110.11

2, 12.,660

,55

29,

1,,3,26 2.607

10.li.

2, 12,,735

.61

30,

1,,0,35

2.671. 10.17

2, 12,,812

,65

30,,2

.it it 2.71.7 10.20

2. 12.,892

,70

30,

1,

,3.53 2.811. 10.23

2, 12.,974

,74

30,

1,

,lt ,63

2. 886 10.25 12,,058

,78

70,

1,

,5.73 2.961

10.28

3, 12.,144

.82

30,

1,

,5

,8lt 3.037

10.70

3, 12.

,23-> ,85

30,

1,

,6,95 7.11 c 10.32 12,,325

,83

0,2,,4066

,817 0.699 0.765

0,

2,.4233

,780 0.6140.766

0,

2.,4379

,746 0.553 0.767

0,

2,,4510 ,713 0.510 0.768

0.2,,4632

,681 0.4800.770

0.2,,4746

,650 0.461 0.771

0,

2,,4857,620 0.4480.772

0,2.,4964 592 0.442 0.773

0,

2,,5069,564 0.4390.774

0, 2,,5174

,578 0.4390.775

0,

2.,5278,512 0.441 0.776

3,2,,5381

,487 0.445 0.777

0,2..5485

,462 0.449

0.778

0,2,,5589

,439 0.4540.779

D,

2,,5694,415 0.4590.780

0,2,,5799

,393 0.4640.781

0,

2,,5905

,371 0.470 0.782

o,

2,,6012,349 0.475

0.782

0,2,,6119

,328 0.480 0.783

a,2,,6227

,307 0.4650.784

0.2,.6336

.286 0.490 0.785

0,2.,6445

,266 0.495

0.786

0,2,,6556

,246 0.5000.787

0,2.,6667 226 0.504

0.788

3,

2.,6780 207 0.5090.789

0.

2,,6894

,187 0.513 0.790

0,2.,7009 168 0.518

0.791

0.2.,7125

.150 0.522

0.792

0.

2 (,7242

.131 0.527

0.793

0,

1..715.35 739.4

278.2

0.1,.635

,36 710.5280.6

0,

1 ,580

.37 711.9

283.4

0,

l,,544

,38 713.2

285.9

0.1,.521

,39 714.2288.3

0,1,,508

,40 714.6290.7

0.1,,503

,41 714.7 292.9

0,

l,,503,42 714.1295.1

0.

1,,508

,43 712.7297.2

1.,516

,45 710.8

299.2

0.

1 .526,46 708.2301.2

0.

1.,578

,47 705.2303.1

0.

l,,551,49 701.8304.9

0,

1.,565,50 698.0 306.7

0,

1,,579,52 694.0 308.4

0.

1,.595

,54 689.7310.0

0,

1,,611,55 685.2311.5

0,1,,627

,57 680.5313.0

0,1.,645

,59 675.6314.5

0,

l,,662,62 670.7315.8

0,

1..661,64 665.6317.1

0,1,,700

,66 660.4318.3

0,

l,,721

,69 655.0 319.5

0,l,,742

,72 649.6320.6

0.

1.,764

,74 644.1

321.6

0.

1. 783.78 638.4322.6

0,l. 313

81 632.6

323.5

0.

1. 84084 626.7

324.3

0.

1. 86888 620.6325.1

SURFACE TENSION

LB/IN X 10 7

17.36

17.04

16.71

16.39

16.07

15.74

15.42

15.09

14.77

14.45

14.12

13.80

13.48

13.15

12.83

12.50

12.18

11.86

11.53

11.21

10.89

10.56

10.24

9.914

9.591

9.267

8.943

8.619
THERMODYNAMIC PROPERTIES OF COEXISTING GASEOUS AND LIQUID HELIUM TEMPERATURE

OEG. R

DENSITY L9/CU FTVIDH/DV)

P BTU/LB

VCDP/DU) PSIA-CU FT/BTU

-V(DP/DV>

PSIA

(DV/DT) /V

P DEG. R

THERMAL CONDUCTIVITY

3TU/FT-HR-R

VISCOSITY

LB/FT-SEC

X 10 6

THERMAL DIFFUSIVITY

SO FT/HR

DIELECTRIC

CONSTANT

PRANDTL

NUMBER

• 3.919

* 3.919 9.128

0.07350 4.60 3.57 0.688 0.292 0.00258 0.361 0.0262

1.02040

1.00028 0.675

4.0

t>.0 9.119 0.08063 50.4

4.68

2.16

3.57

969.0 0.764 0.0142

0.288 0.00866

0.00265

2.44

0.371 0.00133

0.0244 1.020391.00030 0.7240.678

<>. 1 4.1 9.136 0.08993

38.7 4.77 2.82

3.57

959.0 0.864 0.0164

0.285 0.008880.00274

2.46 0.382 0.00154

0.0225 1.02038 1.00034

0.633

0.681

it.

2

4.2 9.092 0.0999

31.4 4.863.48

3.57 947.0 0.972 0.01850.281 0.00907

0.00283

2.48 0.394 0.00172

0.0207

1.02037

1.00038

0.570

0.685

4.3

4.3 9.075 0.1105

26.7 4.944.12 3.57934.0 1.09 0.0204

0.278 0.009240.00292

2.49 0.406 0.00187

0.0192 1.02036

1.00042 0.527

0.689

lt.lt 9.057 0.1218

23.5

5.03 4.693.57

919.0 1.21 0.0222

0.276 0.009380.00300

2.50 0.417 0.00199

0.0178 1.02035 1.00046

0.499

0.693

4.5

4.5 9.038 0.1338

21.3

5.11 5.183.57

904.0 1.35 0.0239

0.273 0.00951 0.00309

2.50 0.429 0.00207

0.0165 1.020341.00050 0.4820.698

It.

6

4.6 9.017 0.1466

19.7 5.19 5.59

3.57

887.0 1.49 0.0255

0.271 0.009630.00318

2.51

0.441 0.002120.0154

1. 02032 1.00055

0.472

0.703

4.7

4.7 8.996 0.1602

18.6

5.27 5.92 3.57

869.0 1.640.0271

0.270 0.00973 0.00327

2.51

0.452 0.002150.0144 1.020311.00060

0.467

0.708

<t.

8

8.973 0.174517.7 5.346.18

3.57

850.0

1.80 0.02860.268 0.009830.00335

2.51 0.464 0.00216

0.0134 1.020291.00065

0.467 0.713

4.9 4.98. 948 0.1897

17.1 5.41 6.38

3.57

831.0 1.97 0.0302

0.267 0.009920.00344

2.51 0.476 0.00215

0.0126 1.020271.00071

0.469

0-719

5.0

5.0 8.9230.2057

16.6 5.48 6.53

3.57

811.0 2.140.0317

0.266

0.0100 0.00353

2.50 0.487 0.00213

0.0118 1.02025 1.00077

0.473

0.725

5.1 5.1 8.897

0.2225

16.1 5-55 6.65

3.57

790.0 2.33 0.0333

0.265

0.0101 0.003622.50 0.499 0.00211

0.0110 1.020231.00083 0.4790.732

5.2 5.2 8.869 0.240315.8 5.61 6.74

3.58

769.0 2.52 0.0349

0.265

0.0102 0.00370 2.49

0.511 0.002080.0104

1.02021

1.00090 0.485

0.739

5.3 5.38.841 0.259015.5 5.676.81

3.58

748.0

2.72 0.0365

0.265 0.0102 0.00379

2.48

0.523 0.00205 0.00974

1.02019

1.00097

0.493

0.747

5.4

5.1. 8.811 0.2786

15.2 5.73 6.86

3.58

726.0 2.94 0.0382

0.265

0.0103 0.00388

2.47 0.535 0.00202

0.00916

1.02017 1.001040.500 0.755

5.5

5.5

8.780 0.299214.9 5.79

6.90

3.58 704.03.15 0.04000.265 0.0104 0.00397

2.46 0.5470.00199 0.00863

1.02015

1.00112

0.508 0.763

5.6 5-6 8.749

0.32 9 14.6 5.84

6.93 3.59682.0 3.38 0.0418

0.266 0.0104 0.00406 2.45.559 0.001950.00813

1.02012

1.00120 0.5160.772

5.7

5.7 8.716 0.3436

14.4 5.896.96

3.59

659.0 3.610.0437

0.267 0.01O5 0.00415

2.44

0.572 0.00192 0.00767

1.02009

1.00128 0.5240.781

5.8 5.8 8.681

0.3675

14.1 5.94

6.98

3.59

637.0 3.85 0.0457

0.268 0.0106 0.00424

2.43 0.584 0.00189 0.007231.02007

1.00137 0.5330.791

5.9

5.9 8.646 0.3924

13.9 5.997.00

3.60 615.04.10 0.04780.270

0.0106 0.004332.41 0.597

0.00186 0.00682

1.02004

1.00146

0.542

0.802

6.0

6.0 8.610 0.4186

13.6 6.03

7.02

3.60

592.0 4.35 0.0500

0.272

0.0107 0.004422.40 0.609 0.00182 0.00644

1.02001

1.00155

0.551 0.813

6.1 6.18.572 0.4460

13.4

6.07 7.03

3.60

570.0 4.61 0.0523 0.274

0.0107 0.004512.39

0.622 0.001790.00608

1. 01997 1.001650.560 0.825

6.2

6.2 8.532 0.4747

13.2 6.117.04

3.61

548.0 4.880.0548

0.276 0.0108 0.00460 2.370.635 0.001760.00575

1.01994

1.00176

0.570

0.838

6.3

6.3 B.492 0.5047

12.9 6.147.05

3.61

526.0 5.14 0.0574

0.279

0.0109 0.00470

2.36

0.648 0.00172 0.00543

1.01991 1.00186

0.580 0.852

6.<4 6.". 8.450 0.5361

12.7 6.177.05

3.62

504.0

5.41 0.0602

0.283 0.01090.00480

2.34

0.661 0.001690.00513

1. 01987 1.00198

0.590

0.866

6.5

8.5 8.436 0.5690

12.5

6.23 7.053.62

482.0 5.690.0631 0.2860.0110 0.004892.33

0.675 0.001660.00434 1.01983

1.00210

0.602

0.832

6.6

6.6 8.361 0.6034

12.3 6.23 7.04

3. 6^ 46C.0 5.96

0.0663

0.290

0.0110 0.00499

2.31 0.688 0.00162

0.00457

1.01979 1.00222

0.614

0.898

6.7

6.7 8.314 0.6394

12.1 6.25

7.03 3.63438.0 6.230.0696

0.2°5 0.0111 0.00509

2.29 0.702 0.00159

0.00432

1.01974 1.002350.627

0.915

6.8

6.8 8.2660.6771

11.8 6.277.02 3.64

417.0 6.50 0.0733

0.300

0.0111 0.00520

2. 28 0.716 0.00155 0.004081.01970

1.00248

0.640 0.934
THERMODYNAMIC PROPERTIES OF COEXISTING GASEOUS UNO LIQUID HELIUM

TEMP PRESS VOLUME ISOTHERM DERIVATIVE ISOCHORE

DERIVATIVE

INTERNAL ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUND SURFACE TENSION

OEG. R PSIA CU FT/LB Cll FT-PSIA/LB PSIA/R BTU/LB 8 BTU/LB BTU/LB-R BTU / LP -R FT/SEC LB/IN X 10 6.9 9.942 0.1217 1.8.2 30.6 3.195 3.itl9 0.7362 0.531 0.898 614.3 7.972

6.9 9.942 1.396 9.45 2.07 10.31. 12.91 2.112 0.794 1.92 325.8

7.0 10.51. 0.1225 1.6.8 30.5 3.278 3.517 0.7482 0.536 0.930 607.9 7.648

7.0 10.51. 1.320 9.29 2.20 10.35 12.93 2.093 0.795 1.97 326.4

7.1 11.17 0.1233 1.3.7 30.5 3.363 3.618 0.7605 0.541 0.965 601.2 7.324

7.1 11.17 1.21.8 9.11 2.33 10.36 12.91. 2.075 0.795 2.02 327.0

7.2 11.82 0.121.2 1.1.5 30.it 3.1.50 3.721 0.7729 0.545 1.00 594.4 7.001

7.2 11.82 1.181 8.91 2.1.7 10.37 12.96 2.056 0.796 2.07 327.5

7.3 12.1.9 0.1251 39.3 30.3 3.539 3.829 0.7656 0.550 1.04 587.3 6.677

7.3 12.1.9 1.118 8.71 2.61 10. 38 12.97 2.038 0.797 2.13 327.9

7.". 13.19 0.1260 37.1 30.1 3.632 3.939 0.7984 0.555 1.09 580.0 6.353

7.4 13.19 1.059 8.1.8 2.77 10.38 12.97 2.019 0.798 2.19 328.2

7.5 13.91 0.1271 31..

9

29.9 3.727 4.054 0.8115 0.560 1.14 572.4 6.030

7.5 13.91 1.003 8.25 2.93 10.38 12.97 2.000 0.799 2.26 328.4

7.6 lit. 67 0.1281 32.8 29.7 3.825 4.173 0.8249 0.566 1.19 564.6 5.706

7.6 11.. 67 0.9505 7.99 3.11 10.38 12.96 1.981 0.800 2.33 328.6

7. 6C 14.70 0.1282 32.7 29.7 3.829 4.178 0.8255 0.566 1.19 564.2 5.693

7.604 11.. 70 0.91.81. 7.98 3.11 10.38 12.95 1.981 0.800 2.34 328.6

7.7 15.1.1. 0.1293 30.6 29.5 3.926 4.296 0.8386 0.571 1.25 556.4 5.362

7.7 15. 1.1. 0.9001. 7.72 3.29 10.37 12.95 1.962 0.801 2.42 328.7

7.8 16.25 0.1305 28.5 29.2 4.031 it.ii2it 0.8526 0.577 1.31 547.9 5.058

7.8 16.25 0.8530 7.1.3 3.1.8 10.36 12.93 1.943 0.802 2.52 328.7

7.9 17.09 0.1318 26.1. 28.9 4.140 it. 557 0.8670 0.583 1.39 539.1 4.735

7.9 17.09 0.8078 7.13 3.69 10.35 12.90 1.923 0.803 2.63 328.6

8.0 17.95 0.1332 21.. 3 28.5 4.253 it. 696 0.8817 0.589 1.47 530.0 4.411

8.0 17.95 0.761.9 6.80 3.91 10.33 12.87 1.903 0.804 2.75 328.4

8.1 18.81. 0.131.7 22.2 28.2 it. 370 it.SitO 0.8969 0.595 1.56 520.5 4.087

8.1 18.81. 0.7238 6.1.5 4.15 10.30 12.83 1.882 0.805 2.90 328.0

8.2 19.77 0.1363 20.2 27.7 it.it93 it. 992 0.9127 0.602 1.68 510.5 3.763

8.2 19.77 0.681.5 6. 08 4.40 10.27 12.77 1.861 0.806 3.07 327.6

6.3 20.72 0.1361 18.2 27.3 it. 621 5.150 0.9290 0.608 1.81 500.2 3.440

8.3 20.72 0.61.67 5.69 4.67 10.23 12.71 1.839 0.807 3.27 327.1

8.4 21.71 0. 11.00 16.2 26.8 It. 755 5.318 3.9460 0.616 1.96 489.4 3.116

8.". 21.71 0.6103 5.28 4.97 10.18 12.64 1.816 0.807 3.52 326.5

8.5 22.73 0.11.21 I*. 3 26.2 it. 897 5.it95 0.9638 0.623 2.16 478.2 2.792

8.5 22.73 0.5751 it. 83 5.30 10.12 12.55 1.793 0.308 3.83 325.7

8.6 23.79 0.11.1.5 12.3 25.6 5.047 5.68it 0.9826 0.631 2.40 466.4 2.469

8.6 23.79 0.51.09 it. 36 5.66 10.06 12. it it 1.767 0.809 4.22 324.9

8.7 21.. 87 0.11.72 10.5 25.0 5.208 5.886 1.003 0.640 2.72 454.1 2.145

8.7 21.. 87 0.5073 3.86 6.06 9.97 12.31 1.71,0 0.809 4.75 323.9

8.8 26.00 0.1503 8.66 21.. 3 5.382 6.106 1.024 0.649 3.15 441.2 1.821

8.8 26.00 0.1.71.2 3.33 6.51 9.87? 12.16 1.711 0.810 5.47 322.9

8.9 27.15 0.151.0 6.90 23.5 5.573 6.31.8 1.048 0.660 3.78 427.7 1.497

8.9 27.15 0.1.1.12 2.77 7.03 9.751 11.97 1.679 0.810 6.54 321.9

9.0 28.35 0.1585 5.21 22.5 5.787 6.619 1.074 0.671 4.75 413.3 1.174

9.0 28.35 0.1.076 2.18 7.66 9.596 11.74 1.642 0.809 8.26 321.0

9.1 29.58 0.161.2 3.61 21.5 6.035 6.931. 1.105 0.681. 6.48 398.1 0.8499

9.1 29.58 0.3726 1.56 8.1.3 9.39? 11.43 1.590 0.308 11.5 320.3

9.2 30.85 0.1721 2.13 20.2 6.339 7.322 1.143 0.700 10.3 351.4 0.5261

9.2 30.85 0.331.2 0.915 9.1.8 9.107 11.02 1.F44 0.805 19.5 320.4

9.3 32.15 0.1857 0.793 18.3 S..77P 7.633 1.199 0.724 25.8 361.6 0.2024

9.3 32.15 0.2867 0.293 11.2 8.627 10.33 1.463 0.797 61.2 322.9

* 9.363 32.99 0.2300 0.000

• 9.363 32.99 0.2300
THERMODYNAMIC PROPERTIES OF COEXISTING GASEOUS AND LIQUIP HELIUM

MPERATURE OENSITY VIDH/DV) \MDP/DU) -VIDP/DV) (DV/OT) /V THERMAL VISCOSITY THERMAL DIELECTRIC PRANDTL

P V P CONDUCTIVITY DIFFUSIVITY CONSTANT NUM9ER

DEG. R L8/CU FT RTU/LB PSIA-CU FT/9TU PSIA DEG. R BTU/FT-HR-R LR/FT-SEC

X 10 a SQ FT/HR

6.9 8.215 11.6 7.00 396.0 0.0771 0.0112 2.26 0.00151 1.01965 0.655

6.9 0.7165 6.29 3.64 6-77 0.306 0.00530 0.730 0.00385 1.00262 0.954

7.0 8.163 11.4 6.98 375.0 0.0814 0.0112 2.24 0.00147 1.01960 0.671

7.0 0.7579 6.30 3.65 7.04 0.312 0.00541 0.745 0.00363 1.00277 0.975

7.1 8.109 11.2 6.95 355.0 0.0859 0.0112 2.22 0.00143 1.01964 0.688

7.1 0.8011 6.31 3.66 7.30 0.319 0.00552 0.759 0.00342 1.00292 1.00

7.2 8.053 11.0 6.92 334.0 0.0909 C.0113 2.21 0.00139 1.01949 0.707

7.2 0.8465 6.32 3.66 7.55 0.327 0.00563 0.774 0.00322 1.00308 1.02

7.3 7.995 10.8 6.88 314.0 0.0963 0.0113 2.19 0.00135 1.01942 0.728

7.3 0.8941 6.33 3.67 7.78 0.336 0.00575 0.790 0.00303 1.00325 1.05

7.4 7.931* 10.6 6.83 294.0 0.102 0.0113 2.17 0.00131 1.01936 0.750

7.1. 0.9441 6.33 3.67 8.01 0.346 0.00587 0.805 0.00284 1.00342 1.08

7.5 7.871 10.4 6.78 275.0 0.109 0.0113 2.15 0.00127 1.01929 0.775

7.5 0.997 6.33 3.68 8.22 0.357 0.00600 0.821 0.00267 1.00360 1.11

7.6 7.805 10.2 6.73 256.0 0.116 0.0114 2.13 0.00122 1.01922 0.803

7.6 1.052 6.32 3.69 8.41 0.369 0.00614 0.837 0.00250 1.00379 1.15

7.60<t 7.802 10.2 6.73 255.0 0.117 0.0114 2.13 0.00122 1.01921 0.804

7.60<t 1.054 6.32 3.69 8.42 0.370 0.00614 0.838 0.00249 1.00380 1.15

7.7 7.736 10.0 6.67 237.0 0.124 0.0114 2.11 0.00118 1.01914 0.833

7.7 1.111 6.31 3.70 8.58 0.383 0.00628 0.854 0.00234 1.00399 1.18

7.8 7.664 9.82 6.60 218.0 0.134 0.0114 2.09 0.00113 1.01906 0.868

7.8 1.172 6.30 3.70 8.72 0.399 0.00643 0.871 0.00218 1.00420 1.23

7.9 7.588 9.61 6.53 200.0 0.144 0.0114 2.07 0.00108 1.01897 0.907

7.9 1.233 6.28 3.71 8.82 0.418 0.00659 0.888 0.00203 1.00442 1.27

8.0 7.509 9.39 6.45 182.0 0.156 0.0114 2.05 0.00103 1.01887 0.952

8.0 1.307 6.26 3.72 8.89 0.440 0.00676 0.906 0.00188 1.00466 1.33

8.1 7.425 9.18 6.37 165.0 0.171 0.0115 2.03 0.000988 1.01877 0.994

8.1 1.382 6.23 3.73 8.92 0.465 0.00694 0.924 0.00173 1.00490 1.39

8.2 7.337 8.95 6.28 148.0 0.187 0.0115 2.00 0.000937 1.01866 1.05

8.2 1.461 6.20 3.74 8.89 0.495 0.0C715 0.944 0.00160 1.00517 1.46

8.3 7.244 8.73 6.19 132.0 0.207 0.0116 1.98 0.000884 1.01853 1.11

8.3 1.546 6.16 3.75 8.80 0.531 0.00738 0.964 0.00146 1.00545 1.54

8. it 7.144 8.49 6.09 116.0 0.231 0.0116 1.96 0.000829 1.01840 1.19

8.4 1.638 6.12 3.76 8.64 0.575 0.00764 0.984 0.00132 1.00575 1.63

8.5 7.036 8.25 5.98 10O.0 0.261 0.0117 1.93 0.000771 1.01825 1.28

8.5 1.739 6.08 3.77 8.40 0.630 0.00795 1.01 0.00119 1.00607 1.75

8.6 6.920 8.00 5.87 85.4 0.300 0.0118 1.90 0.000709 1.01809 1.40

8.6 1.849 6.02 3.78 8.06 0.701 0.00832 1.03 0.00106 1.00642 1.88

8.7 6.793 7.75 5.75 71.2 0.351 0.0119 1.88 0.000645 1.01790 1.54

8.7 1.971 5.97 3.80 7.61 0.796 0.00877 1.05 0.000937 1.00680 2.05

8.8 6.652 7.48 5.62 57.6 0.421 0.0121 1.84 0.000576 1.01769 1.73

8.8 2.109 5.90 3.81 7.03 0.927 0.00936 1.08 0.000812 1.00723 2.27

8.9 6.494 7.21 5.48 44.8 0.524 0.0124 1.81 0.00Q504 1.01745 1.99

8.9 2.267 5.84 3.83 6.28 1.12 0.0102 1-11 0.000687 1.00771 2.56

9.0 6.310 6.93 5.32 32.9 0.685 0.0128 1.77 0.000428 1.01715 2.37

9.0 2.453 5.77 3.86 5.34 1.43 0.0114 1.14 0.000565 1.00827 2.97

9.1 6.091 6.64 5.15 22.0 0.975 0.0137 1.73 0.000348 1.01679 2.94

9.1 2.684 5.69 3.89 4.18 2.02 0.0137 1.18 0.000444 1.00894 3.57

9.2 5.810 6.34 4.95 12.4 1.63 0.0159 1.68 0.000265 1.01629 3.93

9.2 2.993 5.63 3.94 2.74 3.46 0.0190 1.23 0.000326 1.00982 4.54

9.3 5.385 6.02 4.69 4.27 4.28 0.0252 1.60 0.000181 1.01549 5.90

9.3 3.488 5.59 4.02 1.02 10.9 0.0457 1.30 0.000214 1.01115 6.29 9.363 4.348 9.363 4.348

29
1 PSIA ISOBAR

Appendix E, Isobaric Properties THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

DEC. R CU FT/L

4. 0.1096

» 4.161 0.1099

* 4.161 10.1.2 5.0 12.81. 6.0 15.65

7.0 18.1.1 8.0 21.11. 9.0 23.87

10.0 26.58

11.0 29.29

12.0 32. 00 13.0 34.70

14.0 37.39

15.0 40.09

16.0 42.78

17.0 45.48

18.0 48.17

19.0 50.86 20.0 53.55

22.0 58.92

21,. 64.30

26.0 69.67

28.0 75.04

30.0 80.41

32.0 85.78

34.0 91.14

36.0 96.51

38.0 101.9

1.0.0 107.2 45.0 120.7

50.0 134.1

55.0 147.5 60.0 160.9 70.0 187.7 80.0 214.5

90. 241.3 10C.0 268.2

120.0 321.8

11.0.0 375.4

160.0 429.0 180.0 482.6

200.0 535.3

250.0 670.3

300.0 804.4

350.0 938.4

400. 1072.0

1.50.0 1207.0

500. 1341.0 600.0 1609.0 700.0 1677.0

800.0 2145.0 900.0 2413.0 1000.0 2681.0 1200.0 3217.0

11.00.0 3754.0 1600.0 4290.0

1800.0 4826.0

2000. 5362.0 2500.0 6703.0

3000.0 8043.0

ISOTHERM

DERIVATIVE

CU FT-PSIA/LE

106.0

1G5.0 9.69

12.3

15.2

16.0 20.8 23.6

26.4

29.1

31.6

34.5 37.3

40.0

42.7 45.4

48.1

50.8 53.5 58.9

64.2

69.6

75.0 80.4

85.8 91.1

96.5 102.0

107.0

121. 134.

147.

161.

188.

215. 241. 268.0

322.0 375.0

429.0

483.0 536.0

670.0 804.0

938. 1070.0

1210.0

1340.0 1610.0

188C.0 2140.0

2410.0

2oB0.0

3220.0

3750.0 4290.0

4830.0

5360.0 6700.0

ISOCHORE DERIVATIVE

PSIA/R

13.7

16.8

0.263

0.211 0.172 0.146

0.127

0.113

0. 101 0.0918

0.0340

0. 0774

0. 0718

0. 0670 0.0628

0.0591

0.U558

0.0528

0.O501

0. 0456

0417

0385 0358

0334

0313 0294

0278

0263

0250

0222 0200

0182 0167

0143

0125

0111 0.0100 0.00833

0. 00714 0.00625

0.00556

0. 00500

0. 00400 00333

00286

00250

00222

00200

00167

0. u0143 0.00125

0. Quill

0. 00100

0. 000833 0.000714

0. 00C625 0.000556

0.000500

0.U004O0

INTERNAL

ENERGY 8TU/LB

1.423

1.528 9.236

9.906

10.68 11.44

12.20 12.95

13.70 14.45

15.20 15.95

16.70 17.45

18.19 18.94

19.69

20.43

21.16

22.67

24.16

25.65

27.14

28.63

30.13 31.62

33.11

34.60 36.09

39.81 43.54

47.26

50.99

58.43

65.88

73.33

80 .78 95.67 110.6

125.5

140.4

155.3 192.5

229.7

267.0 304.2

341.4 378.7

453.1 527.6

502.1 676.5

751.0

900.0 1049.0

1198.0

1347.0

1496.0

1868.0

ENTROPY BTU/L8-R

8040.0 0.000333 2240.0

1.443

1.548

11.17

12.28 13.58

14.85

16.11

17.37

18.63

19.88 21.13

22.38

23.62

24.87

26.11

27.36

28.60 29.85

31.09

33.58

36.07 38.55 41.04

43.52

46.01 48.49

50.98

53.46 55.95

62.15

58.36

74.57

80.78

93.19

105.6

118.0

130.4

155.3

180.1

204.9 229.7

254.6

316.6

378.7

440.7

502.8

564.8 626.9

751.0

875.1

999.0 1123.0

1247.0 1496.0

1744.0

1992.0 2240.3

2489.0

3109.0

3730.0

4067

4324

759

004

240 436

605 3.753

3.885 4.004

.113

,213 305

,391 472

,547 618 686

.750

.868

976

.0 76 .168

.254 ,334

.409 480 547

.611

757

.006 .114

.306

.471

.618 6.748

6.975 7.166

7.332

7.476 7.609

7.886

8.112 8.303

8.469

6.515

8.746

8.972

164

329

476 606

833 10.02 1C.19

10.34

10.47 10.74

10.97

cv CP VELOCITY

OF SOUND

8TU ,' LB -R FT/SEC

0,.6983 0.7141 709.9

0,.5740 0.5992 711.3

c .7668 1.363 282.4

0,,7551 1.309 314.0

.7492 1.261 347.1

0,,7466 1.266 376.7

0,,7455 1.260 404.0

0..7450 1.256 429.3

0,,7447 1.252 453.1

0,.7446 1.250 475.7

0..7446 1.249 497.2

0.,7446 1.248 •517.8

0.,7446 1.247 537.5

0,.7446 1.246 556.6

0.,7446 1.245 575. C

0,,7446 1.245 592.8

0.,7446 1.245 610.1

0,.7447 1.244 626.9

0.,7447 1.244 643.2

0,.7447 1.244 674.7

0.,7447 1.243 704.8

0,,7447 1.243 733.7

0,.7447 1.243 761.4

0,,7447 1.242 788.2

0.,7447 1.242 814.0

.7447 1.242 839.1

0..7447 1.242 863.4

0,,7447 1.242 887.1

0.,7447 1.242 910.2

0..7447 1.242 965.4

0.,7447 1.242 1018.

.7447 1.242 1067.0

0.,7447 1.242 1115.0

o..7447 1.241 1204.0

0,,7447 1.241 1287.0

,7447 1.241 1365.0

0,,7447 1.241 1439.0

0,,7447 1.241 1576.0

0..7447 1.241 1703.0

0,,7447 1.241 1820.0

0,,7447 1.241 1930.0

o..7447 1.241 2035.0

0,,7447 1.241 2275.0

0.,7447 1.241 2492.0

0.,7447 1.241 2692.0

0,,7447 1.241 2878.0

0,.7447 1.241 3052.0

0,,7447 1.241 3217.0

0,,7447 1.241 3524.0

0.,7447 1.241 3807.0

0,,7447 1.241 4069.

0,,7447 1.241 4316.0

0,,7447 1.241 4550.0

0.,7447 1.241 4984.0

0. 7447 1.241 5383.0

0,.7447 1.241 5755.0

0.,7447 1.241 6104.0

0,,7447 1.241 6434.0

0.,7447 1.241 7194.0

0..7447 1.241 7880.0

TWO-PHASE BOUNOARY
1 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITr

DEG. R LB/CU FT

iMOH/DV) VIDP/DU) -i/IOP/OV),,

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(OV/DT1/V THERMAL

p CONDUCTIVITY

1/OEG. R 9TU/FT-HR-R

4 9.121 50.

4 161 9.097 33.9

<l 161 0.09592 4.82

5 0.07786 5.93

6 0.06392 7.22

7 u. J5433 8.49

e 0. 04729 9-76

9 0.04190 11.0

10 0.03762 12.3 n 0.03414 13.5

12 0.03125 14.8

13 0.02682 16.0

lit 0.02674 17.3

15 a 0.02494 18.5

16 0.02337 19.8

17 0.02199 21.0

16 0.02076 22.3

19 0.01966 23.5

20 0.01668 24.8

22 0.01697 27.3

24 0.01555 29.8

26 0.01435 32.2

28 a 0. 01333 34.7

30 0.01244 37.2

32 0.01166 39.7

34 0.01097 42.2

36 0.0103d 44.7

38 0.009816 47.2

<tQ o 0.009325 49.6

it 5 a 0.008286 55.9

50 0.007459 62.1

55 a 0.006761 68.3

60 a 0.006215 74.5

70 o 0.005327 86.9

80 0.004662 99.3

90 0.004144 112.0

100 0.003729 124.0

120 0.003106 149.0

140 0.002664 174.0

160 0.002331 199.0

160 0.002072 223.0

200 0.001865 248.0

250 0.001492 310.0

300 0.001243 372.0

350 0.001066 434.0

ItOC 0.0009324 496.0

45U 0.0008288 559.0

500 0.0007459 621.0

600 0.0006216 745.0

700 0.0005328 869.0

800 3 0.0004662 993.0

900 0.0004144 1120.0

1000 0.0003730 1240.0

1200 0.0003108 1490.0

140C 0.0002664 1740.0

1600 0.0002331 1990.0

1600 0.0002072 2230.0

2000 0.0001865 2480.0

2500 0.0001492 3100.0

3.61 3.61

3.61

3.61

3.61

3.61 3.61

3.61

3.61

3.60

3.60

3.60

3.60

970 952

o

.0

,0,929 ,956

,972

,980 .986

,989

,991 ,993

,994

,0000

,00

,00 1.00

1.00

1.00

1.00

1.30

1.00 1.00

1.00

1.00

1.30

1.00

1.00

1.00 1.30

1.00

1.00

1.00

1.00

1.00

0.JU01243 3720.0

1.00 1.00

1.00

i.oo 1.00

1.00 1.00

1.30

1.00 1.00

1.00

.0142 00866

0177 00900

283 00283

.221 00340

177 0O409

149 00474

129 00534

114 00591

102 00644

0924 00694

0845 00742

77 8 00767

0721 00630

0672 00872

0629 00911

0592 00950

0559 00987 0529 0102

0502 0106 0456 0113

0418 0119

0385 0125

35 6 0131 0334 0137

0313 a 3142

0294 0148 0278 0153 0263 0158

3250 0163 0222 0175

0200 0187

0182 0198

0167 0209 0143 0230 0125 0250 0111 0. 0269

0100 0288 00833 0324 00714 0359 00625 0392 00556 0425

00500 0456 00400 0531 00333 0602 00286 0669

0C250 0732 00222 0793

00200 0850 00167 0962 00143 107 00125 117 00111 0. 128

00100 137 000833 156 000714 174 000625 a 191 000556 208 000500 224 000400 263 000333 299

SCOSITY THERMAL DIELECTRIC PRANDTL OIFFUSIVITY CONSTANT NUMBER /FT-SEC SQ FT/HR

X 10£>6 2.44 0.0O133 1.02039 0.724 2.47 0.00165 1.02038 0.592

0.390 0.0214 1.00036 0.684

0.481 0.0333 1.00029 0.667

0.581 0.0499 1. 00024 0.656 0.674 0.0688 1.00020 0.650

0.762 0.0896 1.00018 0.647 0.646 0.112 1.00016 0.647

0.925 0.137 1.00014 0.648

1.00 0.163 1.00013 0.650 1.08 0.190 1.03312 0.652 1.15 0.219 1.30011 0.654

1.21 0.249 1.00010 0.657 1.28 0.260 1.00009 0.659 1.35 0.313 1.000O9 0.662

1.41 0.347 1.00008 0.665

1.47 0.382 1.00008 0.667

1.53 0.418 1.00007 0.669

1.59 0.456 1.00007 0.672

1.70 0.533 1.00006 0.676

1.81 0.615 1.30006 0.680

1.91 0.702 1.00005 0.683

2.01 0.792 1.00005 0.686

2.11 0.885 1.00005 0.689

2.23 0.983 1.00004 0.692 2.29 1.08 1.00004 0.694 2.38 1.19 1.00004 0.696 2.47 1.30 1.00004 0.698 2.55 1.41 1.00004 0.699 2.76 1.70 1.03003 0.703

2.95 2.02 1.00003 0.705

3.13 2.35 1.00003 0.706

3.31 2.71 1.00002 0.707

3.65 3.46 1.00002 0.708 3.96 4.32 1.00002 0.708 4.26 5.24 1.00002 0.707 4.55 6.23 1.00001 0.705

5.09 8.41 l.ooooi 0.702 5.61 10.9 1.00001 0.698 6.09 13.6 1.00001 0.694 6.56 16.5 1.00001 0.691 6.89 19.7 1.00001 0.675

7.98 28.7 1.00001 0.671

9.00 39.0 1.00000 0.669

10.0 50.6 1.00000 0-667 10.9 63.3 1.00000 0.666

11.8 77.1 1.00000 0.667

12.7 91.8 1.00000 0.668

14.4 125.0 1.00000 0.669

16.0 162.0 1.00000 0.668

17.6 203.0 1.00000 0.668

19.1 248.0 1.00000 0.668

20.5 297.0 l.ooooo 0.667 23.3 405.0 1.00000 0.667

26.0 526.0 1. 33000 0.667 28.5 661.0 1.00000 0.666

31.0 339.0 1.00000 0.666

33.4 968.0 1.00000 0.666

39.2 1420.0 1.00000 0.666

44.6 1940.0 1.00000 0.666

TWO-PHASE BOUNDARY
2 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM i>

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY

DERIVATIVE DERIVATIVE ENERGY

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB

<t.O 0.1095 107.0 13.7 1.421 1.462

* 4.789 0.1111. 95.0 24.3 1.854 1-895

* 4.789 5.786 10.3 0.477 9.580 11.72

5.0 6.110 11.0 0.450 9.759 12.02

6.0 7.589 14.3 0.358 10.57 13.38

7.0 9.016 17.3 0.300 11.36 14.70

8.0 10.1.2 20.2 0.259 12.13 15.98

9.0 11.80 23.1 0.229 12.89 17.26

10.0 13.18 25.9 0.205 13.65 18.53

11.0 11.. 51. 28.7 0.185 14.40 19.79

12.0 15.91 31.5 0.169 15.16 21.05

13.0 17.27 34. 2 0-156 15.91 22.30

14.0 18.63 37.0 0.145 16.66 23.56

15.0 19.98 39.7 0.135 17.41 24.81

16.0 21.33 42.4 0.126 18.16 26.06

17.0 22.69 45.2 0.119 18.91 27.31

18.0 21.. 04 47.9 0.112 19.65 28.56

19.0 25.39 50.6 0.106 20.40 29.80

20.0 26.73 53.3 0.101 21.15 31.05

22.0 29.1.3 58.7 0.0913 22.64 33.54

24.0 32.12 64.1 0.0837 24.14 36.03

26.0 31.. 81 69-5 0.0772 25.63 38.52

28.0 37.50 74.9 0.0716 27.12 41.01

30.0 1.0.19 80.3 0.0 668 28.62 43.50

32.0 1.2.88 85.7 0.0626 30.11 45.99

31.. 1.5.56 91.1 0.0589 31.60 48.47

36.0 1.8.25 96.5 0.0557 33.09 50.96

38.0 50.91. 102.0 0.0527 34.58 53.45

1.0.0 53.62 107.0 0.0501 36.07 55.93

•.5.0 60.33 121.0 0.0445 39.80 62.14

50.0 67.01. 134.0 0.0400 43.53 68.35

55.0 73.75 148.0 0.0364 47.25 74.56

60.0 80.1.6 161.0 0.0334 50.98 80.77

70. 93.87 188.0 0.0286 58.43 93.19

80.0 107.3 215.0 0.0250 65.88 105.6

90.0 120.7 241.0 0.0222 73.33 ' 118.0

100.0 131..

1

268.0 0.0200 80.77 130.4

120.0 160.9 322.0 0.0167 95.67 155.3

11.0.0 187.7 376.0 0.0143 110.6 180.1

160.0 211..

5

429.0 0.0125 125.5 204.9

180.0 21.1.3 483.0 0.0111 140.4 229.7

200.0 268.2 536.0 0.0100 155.3 254.6

250.0 335.2 670.0 0.00800 192.5 316.6

300.0 1.02.2 805.0 0.00667 229.7 378.7

350.0 1.69.2 939.0 0.00571 267.0 440.7

1.00.0 536.3 1070.0 0.00500 304.2 502.8

1.50.0 603.3 1210.0 0.00444 341.4 564.9

500.0 670.3 1340.0 0.00400 378.7 626.9

600.0 801.. 1. 1610.0 0.00333 453.1 751.0 700.0 938.1. 1880.0 0.00286 527.6 875.2

800.0 1072.0 2150.0 0.00250 602.1 999.0 900.0 1207.0 2410.0 0.00222 676.5 1123.0

1000.0 131.1.0 2680.0 0.00200 751.0 1248.0

1200.0 1609.0 3220.0 0.00167 900.0 1496.0 moo.o 1877.0 3750.0 0.00143 1049-0 1744.0

1600.0 211.5.0 4290.0 0.00125 1198.0 1992.0

1800.0 21.13.0 4830.0 0.00111 1347.0 2240.0

2000.0 2681.0 5360.0 0.00100 1496.0 2489.0

2500.0 3351.0 670O.0 0.000800 1868.0 3109.0

4063

5058

567

629

877 079 3.251

3.402 3.535

3.656 3.765

3.866 3.958

4.045

4.125 4.201

4.273

4.340 4.404

4.523

,631

,731

,823 ,909 989

,064 135

,203

,266 5.413

5.544

5.662

5.770 5.961 6.127

6.274

6.404

6.631

6-822

6.988 7.134

0.000667 2240.0

7.265 7.542

7.768

7.959

8.125

8.271

8.402 8.626

8.820 8.985

9.132 9.262 9.489

9.680 9.846

9.99

10.12

10.40 10.63

0.6951

0.4392

0.7737 0.7686

0.7547

0.7490 0.7465

0.7453 0.7448

0.7446

0.7445 0.7444

0.7445 0.7445

0.7445

0.7446 0.7446

0.7446 0.7446 0.7447

0.7447 0.7447

0.7448 0.7448

0.7448

0.7448

0.7448 0.7448

0.7448 0.7448 0.7448

0.7448

0.7448 0.7448

0.7448

0.7448

0.7447

0.7447 0.7447 0.7447

0.7447 0.7447

.7447 .7447 .7447

.7447 .7447 .7447

0.

0.0.

c.0.

0.0.7447

.7447

.7447

.7447 .7447

.7447

.7447 0.7447

0.7447

0.7447

0.7447 0.7447

CP VELOCITY

OF SOUND

-R FT/SEC

0.7107 713.0 0.5074 712.9

1.431 297.0 1.403 305.5

1.330 341.4

1.298 372.7

1.281 400.9 1.271 426.9

1.264 451.3

1.260 474.2

1.257 496.0 1.254 516.8

1.252 536.8

1.251 556.0

1.250 574.5

1.249 592.4 1.248 609.8 1.247 626.6

1.247 643.1 1.246 674.7

1.245 704-8

1.245 733.7

1.244 761.5

1.244 788.3

1.243 814.2 1.243 839.3 1.243 863.7 1.243 887.3

1.243 910.4

1.242 965.6 1.242 1018.0

1.242 1068.0

1.242 1115.0 1.242 1204.0 1.242 1287.0

1.241 1365.0 1.241 1439.0 1.241 1577.0 1.241 1703.0 1.241 1820.0 1.241 1931.0 1.241 2035.0 1.241 2275.0 1.241 2492.0

1-241 2692.0 1.241 2878.0 1.241 3052.0 1.241 3217.0 1.241 3524.0 1.241 3807.0 1.241 4070.0

1.241 4316.0

1.241 4 55 0.0 1.241 4984.0

1.241 5383.0 1.241 5755.0

1.241 6104.0 1.241 6434.0

1.241 7194.0

1.241 7880.0

* THO-PHASE 80UN0ARY
THERMOPHYSICAL PROPERTIES OF HELIUM it

2 PSIA ISOBAR

TEMPERATURE OENSITY VCOH/DV)

DEG. R L8/CU FT BTU/LB

It 9.131 50.7

it 789 8.97 5 17.8

It 789 0.1728 5.33

5 0.1637 5.63

6 0.1318 6.98

7 0.1109 8.30

e 0.09601 9.59

9 0.08it7it 10.9

10 0.07589 12.1 n 0.06875 13.4

12. 0.06286 14.7

13 0.05791 15.9

lit 0.05369 17.2

15 0.05005 18.5

16 0.0<t687 19.7

17 o.O'.'toa 21.0

16 0.01.160 22.2

19 0.03939 23.5

20 0.03740 24.7

22 0.03398 27.2

2it 0.03113 29.7

26 0.02872 32.2

28. 0.02666 34.7

30 0.02488 37.2

32 0.02332 39.7

3lt 0.02195 42.2

36 0.02072 44-7

38 0.01963 47.1

ItO 0.01865 49.6

1.5 0.01657 55.9

50 0.0K.92 62.1

55 0.01356 68.3

60 0.01243 74.5

70 0.01065 86.9

80 0.009322 99.3

90 0.008286 112.0

100 0.007457 124.0

120 0.006215 149.0

litC 0.005327 174.0

160 0.004661 199.0

180 0.004143 223.0

2CQ 0.003729 248.0

250 0.002983 310.0

300 0.002486 372.0

350 0.002131 434.0

itOO 0.001865 497.0

1.50 0.001658 559.0

500 0.001492 621.0

600 0.001243 745.0

700 0.001066 869.0

800 0.0009324 993.0

900 0.0008288 1120.

1000 0. 0007459 1240.0

1200 0. 0006216 1490.0

lltQC 0.0005328 1740.0

1600 0.0004662 1990.0

1800 0.0004144 2230.0

2000 u 0. 0003730 2480.0

2500 0.0002984 3100.0

P v '- T

PSIA-CU FT/BTU PSIA

2.17 6.15

3.57

3.62

3.62

3.62

3.61 3.61

3.61

3.61 3.61

3.61

3.61 3.61

3.61

3.61

3.61

3.61 3.61

3.61 3.61

3.60

3.60

3.60

3.60

3.60

3.60 3.60

3.60

3.60 3.60

980.0

852.0 1.78

1.81

1.88 1.92 1.94

1.96

1.97

1.97 1.98

1.98 1.98

1.99

1.99 1.99

1.99

1.99

1.99

2.00 2.00

2.00 2.00

2.00

2.00

2.00 2.00

2.00

2.00

0. 0002487 3720.0

2.00

2.00 2.00

2.00 2.00

2.00

2.00

2.O0 2.00

2.00

2.00 2.00

2.00

2.00

2.00

2.00

2.00

2.00

2.00

2.00

2.00 2.00

2.00 2.00

(DV/DT1/V

0.0140 0.0285

0.268

249

191

156 134

117

104 0939 0.0856

0.0787

0.0728

0.0678

0.0634 0.0596

0.0562

0.0531 0.0504

0.0 45 8 0.0419 0.0386

0.0358 0.0334

0.0313

0.0295

0.0278 0.0264

0.0250 0.0222

0.0200 0.0182

0.0167 0.0143

0.0125

0.0111

0.0100 0.00833

0.00714

0.00625 0.00555

0.00500

0.00400

.00333 .00286

.00250 .00222

.00200 .00167 0.00143

0.00125

0.00111

0.00100 0.000833 0.000714

0.000625

0.000556

0.000500 0.000400

THERMAL VISCOSITY THERMAL DIELECTRIC PRANDTL ONOUCTIVITY DIFFUSIVITY CONSTANT NUMBER 8TU/FT-HR-R LB/FT-SEC

X 10E*6 SQ FT/HR

O.O0868 2.45 0.00134 1.02040 0.723 0.00982 2.51 0.00216 1.02029 0.467 0.00334 0.463 0.0135 1.00065 0.713

0.00343 0.485 0.0152 1.00061 0.704 0.00414 0.587 0.0236 1.00049 0.679 0.00477 0.680 0.0332 1.00042 0.666 0.00537 0.768 0.0437 1.00036 0.659 0.00593 0.851 0.0551 1.00032 0.656 0.00646 0.931 0.0673 1.00029 0.656 0.00696 1.01 0.0804 1.00026 0.656 0.00743 1.08 0.0941 1.00024 0.657 0.00789 1.15 0.109 1.00022 0.659

0.00832 1.22 0.124 1.00020 0.661 0.00873 1.29 0.139 1.00019 0.663 0.00913 1.35 0.156 1.00018 0.665 0.00952 1.41 0.173 1.00017 0.667 0.00989 1.47 0.190 1.00016 0.669

0.0102 1.53 0.209 1.00015 0.672 0.0106 1.59 0.227 1.00014 0.674

0.0113 1.70 0.266 1.00013 0.678 0.0119 1.81 0.307 1.00012 0.681 0.0125 1.91 0.350 1.00011 0.684

0.0131 2.01 0.395 1.00010 0.687

0.0137 2.11 0.442 1.00009 0.690 0.0142 2.20 0.491 1.00009 0.692 0.0148 2.29 0.542 1.00008 0.695

0.0153 2.38 0.594 1.00008 0.697

0.0158 2.47 0.649 1.00007 0.698

0.0163 2.55 0.705 1.00007 0.700

0.0175 2.76 0.852 1.00006 0.703

0.0187 2.95 1.01 1.00006 0.705

0.0198 3.13 1.18 1.00005 0.707 0.0209 3.31 1.36 1.00005 0.707

0.0230 3.65 1.74 1.00004 0.708

0.0250 3.96 2.16 1.00004 0.708

0.0270 4.26 2.62 1.00003 0.707 0.0288 4.55 3.11 1.00003 0.705 0.0324 5.09 4.21 1.00002 0.702 0.0359 5.61 5.43 1.00002 0.698

0.0392 6.09 6.78 1.00002 0.694 0.0425 6.56 8.26 1.00002 0.691

0.0456 6.89 9.85 1.00001 0.675

0.0531 7.98 14.3 1.00001 0.671

0.0602 9.00 19.5 1.00001 0.669

0.0669 10.0 25.3 1.00001 0.667

0.0732 10.9 31.6 1.00001 0.666

0.0793 11.8 38.5 i.ooooi 0.667

0.0850 12.7 45.9 1.00001 0.668

0.0962 14.4 62.3 1.00000 0.669

0.107 16.0 80.9 1.00000 0.668

0.117 17.6 102.0 1.00000 0.668

0.128 19.1 124.0 1.00000 0.668

0.137 20.5 148.0 1.00000 0.667

0.156 23.3 202.0 1.00000 0.667

0.174 26.0 263.0 1.00000 0-667

0.191 28.5 331.0 1.00000 0.666

0.208 31.0 404.0 1.00000 0.666

0.224 33.4 484.0 1.00000 0.666

0.263 39.2 709.0 1.00000 0.666

0.299 44.6 970.0 1.00000 0.666

TWO-PHASE BOUNOARY
THERMODYNAMIC PROPERTIES OF HELIUM 1.

It PSIA ISOBAR

EMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY

DERIVATIVE DERIVATIVE ENERGY OF SOUNO

EG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

It.

a

0.1093 109.0 13.7 1.1.16 1.1.99 0.1*051* 0.6888 0.701.1 719.1

5.0 0.1118 92.3 25.8 1.955 2.038 0.5261* 0.1*1*07 0.5238 713.1

5.57Q 0.111*2 78.6 28.1. 2.275 2.360 0.5873 0.1*680 0.6058 686.5

5.570 3.182 10.5 0.880 9.91.3 12.30 2.377 0.7813 1.51.9 311.1

6.0 3.536 12.2 0.781. 10.33 12.95 2.1*89 0.7695 1.1.69 328.6

7.0 it.339 15.7 0.636 11.17 11.. 36 2.707 0.7553 1.371. 361*. e.o 5.01*6 18.9 0.51.0 11.97 15.71 2.888 0.71*92 1.330 391*.

5

9.0 5.761* 22.0 0.1.71 12.76 17.03 3.01*3 0.71*61* 1.305 1*22.1 10.0 6.i»71 25.0 0.1.19 13.53 18.32 3.179 0.71*51 1.290 1*1.7.5 11.0 7.170 27.9 0.378 11*. 30 19.61 3.302 0.71*1*6 1.280 1.71.2

12.0 7.861* 30.7 0.341. 15.06 20.89 3.1*13 0.71*1*3 1.273 1*93.6 13.0 8.551. 33.6 0.316 15.82 22.16 3.515 0.71*1*2 1.268 511*.

9

llt.il 9.21*2 36.1* 0.292 16.58 23.1.2 3.608 0.71.1.2 1.261. 535.2

15.0 9.927 39.2 0.272 17.33 21.. 69 3.696 0.71.1.3 1.261 551*.

7

16-0 10.61 1*2.0 0.251. 18.09 25.95 3.777 0.71.1*3 1.259 573.5

17.0 11.29 1*1*.

8

0.239 18.61. 27.20 3.853 0.71*1*1* 1.257 591.6

18.0 11.97 1.7.5 0.225 19.59 28.1.6 3.925 0.71*1*5 1.255 609.1

19.0 12.65 50.3 0.213 20.31. 29.71 3.993 0.71*1*5 1.251. 626.1

20.0 13.33 53.0 0.202 21.09 30.97 1..057 0.71*1*6 1.252 61*2.7 22.0 li*. 68 58.5 0.181. 22.59 33.1.7 <*.176 0.71.1*7 1.251 671*.

S

2<t.O 16.01* 63.9 0.168 2"». 09 35.97 1..285 0.71*1.7 1.21.9 701*.

8

26.0 17.39 69.1. 0.155 25.59 36.1.5 i».385 0.71*1.8 1.21.8 733.8

26.0 18.73 71..

8

0.11.1. 27.08 1*0.96 i*.i*77 0.71.1.8 1.21.7 761.7

30.0 23.08 80.2 0.131. 28.58 1.3.1.5 i*.563 0.71*1*8 1.21.6 768.6

32.0 21.1*3 85.6 0.126 30.07 1.5.95 !*.61*l* 0.71*1*9 1.21.6 811*.

5

3<*. 22.78 91.0 0.118 31.57 1*8.1*1* it. 719 0.71*1*9 1.21.5 839.7

36.0 2i*. 12 96.1. 0.111 33.06 50.93 it.791 0.71*1*9 1.21.5 861*.

1

38.0 25.1*7 102.0 0.106 31*. 55 53.1*2 11.858 0.71*1*9 1.21.1. 887.8

•>i.a 26.81 107.0 0.100 36.05 55.90 i*.922 0.7i*i»9 1.21*1. 910.9

1)5.0 30.17 121.0 0.0891 39.78 62.12 5.068 0.71*1*9 1.21.3 966.1 50-0 33.53 13*. 0.0801 1*3.51 68.31* 5.199 0.71*1*9 1.21.3 1018.0

55.0 36.88 11*8.0 0.0728 1*7.23 71*. 55 5.318 0.71*1*9 1.21.3 1068.0

60.0 1.0.21* 161.0 0.0667 50.96 80.77 5.1*26 0.71*1*9 1.21.2 1116.0

70.0 i*6.95 168.0 0.0572 58.1.1 93.19 5.617 0.71*1*8 1.21.2 1205.0

60.0 53.66 215.0 0. 0500 65.87 105.6 5.783 0. 71*1*8 1.21.2 1288.0 90.0 60.36 21.2.0 0.31.1.5 73.32 118.0 5.929 0.71.1*8 1.21.2 1366.0 100.0 67.07 266.0 O.ui.00 80.77 130.1* 6.060 0.71*1*8 1.21.2 11*1*0.0 12C.0 80.1*3 322.0 0.0333 95.66 155.3 6.286 0.71*1*8 1.21.1 1577.0

11.0.0 93.88 376.0 0.0286 110.6 180.1 6.1*78 0.71*1*8 1.21.1 1703.0 16G.0 107.3 1.29.0 0. 0250 125.5 201*.

9

6.61*1* 0.71*1.8 1.21.1 1821.0

180.0 120.7 1.83.0 0.0222 11.0.1. 229.8 6.790 0.7i»i*7 1.21.1 1931.0

200.0 131*.

1

537.0 0.0200 155.2 251*. 6 6.921 0. 71*1*7 1.21.1 2035.0

250.0 167.6 671.0 0.0160 192.5 316.6 7.198 0.71*1*7 1.21.1 2275.0 3C0.0 201.1 805.0 0.0133 229.7 378.7 7.1*21* 0.71*1*7 1.21.1 21*93.0 350.0 231*.

6

939.0 O.Olli. 267.0 1*1*0. 8 7.615 0.71*1*7 1.21.1 2692.0

1(00.0 263.2 1070.0 0.0100 301..

2

502.8 7.781 0.71*1*7 1.21.1 2878.0

1*50.0 301.7 1210.0 0.00869 31.1.1. 561*.

9

7.927 0.71*1*7 1.21.1 3052.0

500.0 335.2 131*0.0 0.00800 378.7 626.9 8.058 0.71*1*7 1.21.1 3218.0

60 CO 1*02.2 1610.0 J.0J667 1.53.1 751.1 8.281. 0.71.1.7 1.21.1 3525.0 700.0 1*69.2 1880.0 0.00571 527.6 875.2 8.1.75 0.71.1.7 1.21.1 3807.0

600.0 536.3 2150.0 0.00500 602.1 999.0 8.61.1 0.71*1*7 1.21.1 1*070.0 900.0 603.3 21.10.0 0.001.1.1. 676.5 1123.0 8.787 0.71*1*7 1.21.1 1*316.0 1000.0 670.3 2680.0 0.001.00 751.0 121*8.0 8.918 0.71*1.7 1.21.1 1*550.0 1200.0 801*. 1* 3220.0 0.00333 900.0 11*96.0 9.11.1. 0.71*1*7 1.21.1 i*98i*. 11*00.0 938.1* 3750.0 0.00286 101.9.0 171*1*. 9.336 0.71*1*7 1.21.1 5383.0

1600.0 1072.0 1.290.0 0.00250 1196.0 1992.0 9.502 0.71*1*7 1.21.1 5755.0

1800.0 1207.0 1.830.0 0. 00222 131.7.0 221*0.0 9.61*8 0.71*1*7 1.21.1 6101*. 2000.0 131*1.0 5360.0 0.00200 11.96.0 21*89-0 9.778 0.71*1*7 1.21*1 61*31*. 2500.0 1676.0 6700.0 0. 00160 1868.0 3109.0 10.06 0.71.1*7 1.21.1 7191*.

3000.0 2011.0 801.0.0 0. 00133 221.0.0 3730.0 10.28 0.71.1.7 1.21.1 7880.0

TWO-PHASE BOUNDARY
it PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <t

TEMPERATURE DENSITY

DEG. R LS/CU FT

/(DH/DV) V(DP/DU) -VIOP/OV)

p v T

BTU/LB PSIA-CU FT/8TU PSIA

(OV/DT>/V THERMAL

P CONDUCTIVITY

1/DEG. R 8TU/FT-HR-R

It 9 ISO 51.2

5 .0 8 91.1 16.6

5 57 8 .758 1*.7

5 .570 .31ii2 5.83

6 a 2828 6.1.7

7 .2321 7.89

8 .1932 9.21.

9 a 1735 10.6

1G a 15*5 11.9

11 1395 13.2

12 1272 I*. 5 13 1169 15.8

lit 1082 17.0

15 1007 18.3

16 09it25 19.6

ir a 08857 20.8

18 08353 22.1

19 a 07905 23.it 20 07503 21.. 6 22 06810 27.1

21. 36236 29.6

26 05752 32.2

28 05338 31..

30 0it979 37.2

32 U 1.066 39.7

3U 0it391 W.l

36 a -.1.1(6 it <t. 6 38 03927 It7.1

itC 03730 lt9.6

*5 03315 55.9

5C 02983 62.1

55 02711 68.3

60 02it85 7lt.5 70 02130 86.9

80 3136". 99.lt 90 01657 112.0

100 01it91 12*.

120 0121.3 1*9.0

l<t0 0. 01065 17*.

160 a 009320 199.0

180 a 008285 22*. 200 007it57 2*8.0

250 005966 310.0

300 a 00it972 372.0

350 a JUi.2b2 *35.0

tQO 003729 *97.0

it5G 003315 559.0

500 032983 621.0

600 0021.86 7*5.0

700 a G02131 369.0

800 001865 993.0

900 a 001658 1120.0

1000 0011.92 12*0.0

1200 00121(3 1*90.0

litOO 001066 17*0.0

1600 00093211 1990.0

1800 a a 3308288 2230.0

2000 0037it59 2*80.0

2500 0005968 3100.0

2.18 1030.0 6.5* 826.0 6.93 638.0 3.58 3.31

3.60 3.*5

3.63 3.65

3.6* 3.75 3.6* 3.82 3.6* 3.86

3.6* 3.89

3.63 3.91 3.63 3.93

3.63 3.9*

3.63 3.95

3.63 3.96

3.63 3.96

3.62 3.97

3.62 3.97

3.62 3.98

3.62 3.98

3.62 3.99

3.62 3.99

3.61 3.99

3.61 3.99

3.61 *.oo

3.61 *. JO 3.61 *.oo

3.61 *.oo 3.61 *.oo

3.61 *.30 3.61 *.00 3.61 *.oo

3.61 *.oo 3.60 *.oo 3.60 *.30

3.60 *.oc 3.60 *.oo

3.60 *.oo

3.60 *.oo

3.60 *. 30 3.63 *.oo

3.60 *.oo

3.60 *.oo 3.60 *.oo

3.60 *.oo

3.60 *.oo 3.60 *.oo

3.60 *.oo

3.60 *.oo

3.60 *.oo

3.60 *. 00 3.60 *.33 3.60 *.oo 3.60 *.oo

3.60 *.30

3.63 *.00

3.60 *.00

3.60 *.00

3.60 *.oo 0.000*973 3720.0

.0137 00870

.0312 .0100 0*12 a .010*

.266 .00*03

.227 00*27

17* 00*86

a .1** a .005**

123 00599

.109 .00651

.0971 00700

0880 007*8

0805 00793

.07*2 00836

0689 c 00877

,06*3 00916

0603 00955

0568 00992

0537 0103 0509 0106

.0*61 0113

0*21 0119

0388 0126

0360 0131 0335 0137

.031* 01*3 0295 01*8 0279 0153 026* 0158 0251 0163

c 0223 0176

0200 0187 0182 0193

0*6 7 0209 01*3 0230 0125 0250 0111 0270

0100 0288 00833 0325

0. 0071* 0359 0C625 0392 00555 0*25 00500 0*56

0C*0C 0531 0C333 0602 0C286 0669

00250 c 3732 00222 0793

00200 0850 00167 0962 001*3 107 00125 117 00111 128 0010C 137 0CC833 156 00071* 0. 17* 0C0625 191 003556 208 000500 22* 300*00 0, 263 000333 0. 299

SCOSITY THERMAL DIELECTRIC PRANOTL DIFFUSH/ITY CONSTANT NUMBER

1/FT-SEC SQ FT/HR

X 10E + 6 2.*7 0.00135 1.020*1 0.720 2.52 0.0021* 1.02027 0.*7* 2.*5 0.00196 1.02013 0.51*

0.556 0.00828 1.00117 0.769 0.599 0.0103 1.00106 0.7*1 0.692 0.0152 1.00087 0.70*

0.780 0.O2O6 1.0007* 0.686

0.862 0.026* 1.00065 0.677

0.9*1 0.0326 1.00058 0.672

1.02 0.0392 1.00052 0.669

1.09 0.0*62 1.000*8 0.668 1.16 0.0535 1.000** 0.668

1.23 0.0611 1.000*1 0.669 1.29 0.0690 1.00038 0.670

1.36 0.0773 1.00035 0.671

l.*2 0.0858 1.00033 0.673

1.1.8 0.09*6 1.00031 0.67* 1.5* 0.10* 1.00030 0.676

1.60 0.113 1.00028 0.677

1.71 0.133 1.00026 0.681

1.82 0.153 1.00023 0.63*

1.92 0.175 1.00022 0.687

2.02 0.197 1.00020 0.689

2.11 0.221 1.00019 0.692 2.21 0.2*5 1.00018 0.69*

2.30 0.271 1.00017 0.696 2.39 0.297 1.00016 0.698 2.*7 0.32* 1.00015 0.699 2.56 0.352 1. 0001* 0.701 2.76 0.*26 1.00013 0.703

2.95 0.505 1.00011 0.706 3.1* 0.589 J. - 0.3010 0.707 3.31 0.678 1.00009 0.708 3.65 0.670 1.00008 0.738

3.96 1.08 1. 00007 0.708 *.26 1.31 1.30006 0.707 *.55 1.56 1.00006 0.705

5.10 2.10 1.00005 0.702 5.61 2.72 1.0000* 0.698

6.10 3.39 1.0000* 0.69*

6.56 *.13 1.00003 0.691 6.89 *.93 1.00003 0.675 7.98 7.17 1.00002 0.671

9.00 9.75 1.00002 0.669

10.0 12.6 1. 00002 0.667

10.9 15.8 1.00001 0.666

11.8 19.3 1.00001 0.667

12.7 23.0 1.30001 0.668

1*.* 31.2 1.00001 0.669

16.0 *0.5 1.30001 0.668

17.6 50.8 1.00001 0.668

19.1 62.0 1.00001 0.668

20.5 7*.

1.30001 0.667

23.3 101.0 1.00000 0.667

26.0 132.0 1.30000 0.667

28.5 165.0 1.00000 0.666

31.0 202.0 1.00000 0.666 33.* 2*2.0 1.03000 0.666

39.2 355.0 1.00000 0.666

**.6 *85.0 1.00000 0.666

THO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4

6 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY

DERIVATIVE DERIVATIVE ENERGY OF SOUNO DEC R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB 8TU/LB BTU/LB-R BTU .' LB -R FT/SEC

4.0 0.1091 111.0 13.7 1.414 1.536 0.4045 0.6826 0.6976 725.0

5.0 0.1116 94.3 25.8 1.946 2.070 0.5246 0.4399 0.5213 719.2

6.0 0.1161 69.3 29.6 2.538 2.667 0.6330 0.4899 0.6798 667.3

6.114 0.1167 66.2 29.9 2.616 2.746 0.6461 0.4955 0.7032 659.6

• 6. II* 2.223 10.3 1.28 10.14 12.61 2.263 0.7863 1.666 318.5

7.0 2.727 14.0 1.02 10.96 13.99 2.474 0.7637 1.478 354.3

8.0 3.250 17.6 0.846 11.81 15.42 2.665 0.7529 1.389 387.8

9.0 3.71.6 20.9 0.730 12.62 16.78 2.826 0.7480 1.345 417.1 ICO 4. 234 24.0 0.644 13.41 18.12 2.966 0.7457 1.319 443.6

11.0 4.711 27.1 0.578 14.19 19.43 3.091 0.7447 1.302 468.2

12. J 5.182 30.0 0.524 14.96 20.72 3.204 0.7442 1.291 491.2

13.0 5.61.9 33.0 0.481 15.73 22.01 3.307 0.7441 1.283 512.9

14.0 6.113 35.8 0.444 16.50 23.29 3.401 0.7441 1.276 533.6

15.0 6.575 38.7 0.412 17.26 24.56 3.489 0.7441 1.272 553.4

16.0 7.035 41.5 0.385 18.02 25.83 3.571 0.7442 1.268 572.4

17.0 7.1.93 44.3 0.361 18.77 27.10 3.648 0.7443 1.265 590.8

16.0 7.950 47.1 0.340 19.53 28.36 3.720 0.7444 1.262 608.5

19.0 8.1.05 49.9 3.322 20.28 29.62 3.788 0.7444 1.260 625.7

20. 8.860 52.7 0.305 21.04 30.88 3.853 0.7445 1.258 642.3

22.0 9.768 58.2 0.277 22.54 33.39 3.973 0.7446 1.255 674.3

21.. 10.67 63.7 0.253 24.04 35.90 4.082 0.7447 1.253 704.8

26.0 11.58 69.2 0.233 25.54 38.41 4.182 0.7448 1.251 733.9

28.0 12.1.8 74.7 0.216 27.04 40.91 4.275 0.7449 1.250 761.9

30.0 13.38 80.1 0.202 28.54 43.41 4.361 0.7449 1.249 788.9

32.0 14.23 85.6 0.189 30.04 45.90 4.441 0.7449 1.248 814.9

34.

a

15.18 91.0 0.178 31.53 48.40 4.517 0.7449 1.247 840.1

36.0 16.08 96.4 0.168 33.03 50.89 4.588 0.7450 1.247 864.5

38.0 16.98 102.0 0.159 34.52 53.38 4.656 0.7450 1.246 888.2

1.0.0 17.87 107.0 0.151 36.02 55.88 4.720 0.7450 1.246 911.3

1.5.0 20.12 121.0 0.134 39.75 62.10 4.866 0.7450 1.245 966.7

50.0 22.36 134.0 0.120 43.48 68.32 4.997 0.7450 1.244 1019.0

55.0 24.63 148.0 0.109 47.21 74.54 5.116 0.7449 1.243 1069.0

60-0 26-83 161.0 0.100 50.94 80.76 5.224 0.7449 1.243 1116.0

70.0 31.31 188.0 0.0858 58.40 93.19 5.416 0.7449 1.243 1205.0

80.0 35.78 215.0 0.0751 65.85 105.6 5.582 0.7449 1.242 1288.0

90.0 40.25 242.0 0. 0667 73.31 118.0 5.728 0.7449 1.242 1366.0 100.0 44.73 269.0 0.0600 80.76 130.4 6.859 0.7448 1.242 1440.0

120.0 53.67 322.0 0.0500 95.66 155.3 6.085 0.7448 1.242 1577.0

11.0.0 62.60 376.0 0.0429 110.6 180.1 6.276 0.7448 1.241 1704.0

160.0 71.54 430.0 0.0375 125.5 204.9 6.442 0. 7448 1.241 1821.0

18C.0 80.48 483.0 0.0333 140.4 229.8 6.588 0.7448 1.241 1931.0

20C.0 89.42 537.0 0.0300 155.2 254.6 6.719 0.7448 1.241 2036.0

250.0 111.8 671.0 0.0240 192.5 316.7- 6.996 0.7448 1.241 2276.0

300.0 134.1 805.0 0.0200 229.7 378.7 7.223 0.7447 1.241 2493.0

350.0 156.4 939.0 0.0171 267.0 44 0.8 7.414 0.7447 1.241 2692.0

1.00.0 178.8 1070.0 0.0150 304.2 502.8 7.580 0.7447 1.241 2878.0

1.50.0 201.1 1210.0 0.0133 341.4 564.9 7.726 0.7447 1.241 3053.0

500.0 223.5 1340.0 0.0120 378.7 627.0 7.857 0.7447 1.241 3218.0

600.0 268.2 1610.0 0.0100 453.1 751.1 8.083 0.7447 1.241 3525.0

700.0 312.8 1880.0 0.00857 527.6 675.2 8.274 0.7447 1.241 3807.0

800.0 357.5 2150.0 0.00750 602.1 999.0 8.440 0.7447 1.241 4070.0

900.0 402.2 2410.0 0.00667 676.6 1123.0 8.586 0.7447 1.241 4317.0

1000.0 446.9 2680.0 0.00600 751.0 1248.0 8.717 0.7447 1.241 4550.0

1200.0 536.3 3220.0 0.00500 900.0 1496.0 8.943 0.7447 1.241 4984.0

11.00.0 625.6 3750.0 0.00429 1049.0 171.4.0 9.134 0.7447 1.241 5384.0

1600.0 715.0 4290.0 0.00375 1198.0 1992.0 9.300 0.7447 1.241 5755.0

1800.0 604.4 4830.0 0.00333 1347.0 2240.0 9.446 0.7447 1.241 6104.0

2000. 893.7 5360.0 0.00300 1496.0 2489.0 9.577 0.7447 1.241 6434.0

2500.0 1117.0 6700.0 0.00240 1868-0 3109.0 9.854 0.7447 1.241 7194.0

30 0.0 1341.0 8040.0 0.00200 2240.0 3730.0 10.08 0.7447 1.241 7880.0

TWO-PHASE BOUNDARY
6 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

DEG. R L9/CU FT

V<DP/OU) -V<DP/DV>_ BTU/LB PSIA-CU FT/8TU PSIA

(DV/DT1/V THERMAL

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R

It 9 166 51.8

s 8 964 17.1

6 8 617 13.7

6 lilt 8 566 13.4

6 in 1.1.99 6.06

7 3666 7.45

a a 3J77 8.89

9 a 2668 10.3

10 a 2362 11.6

11 2123 12.9

12 1930 14.3

13 a 1770 15.6

14 1636 16.9

15 a 1521 18.2

16 a li»22 19.4

17 1335 20.7

16 1258 22.0

19 1190 23.3

20 a 1129 24.5

22 a 1024 27.1

2* 09369 29.6

26 a ii 08638 32.1

28 08014 34.6

30 a 07474 37.1

32 a J7J03 39.6

3it 06588 42.1

36 a 06220 44.6

36 05891 47.1

4G 05595 49.6

<»5 01.971 55.9

50 a a 041.73 62.1

55 a 04066 68.3

60 03727 74.5

70 a 03194 87.0

60 02795 99.4

90 02484 112.0

100 02236 124.0

120 01863 149.0

lltO 01597 174.0

160 01398 199.0

180 01243 224.0

200 01118 248.0

250 008948 310.0

300 a 007457 373.0

350 006392 435.0

400 a 005593 497.0

<t50 a 004972 559.0

500 004475 621.0

600 003729 745.0

700 G ,003196 869.0

800 002797 993.0

900 .002486 1120.0

1000 J a 002238 1240.0

1200 001865 1490.0

1400 001598 1740.0

1600 001399 1990.0

1800 001243 2230.0

2000 001119 2480.0

2500 a 0008951 3100.0

2.19 1020.0 6.54 645.0 7.02 5 97.0 7.03 567.0

3.60 4.65 3.64 5.14

3.65 5.41 3.66 5.57

3.66 5.67

3.65 5.74

3.65 5.80

3.65 5.83

3.65 5.86 3.64 5.88

3.64 5.90 3.64 5.92 3.64 5.93 3.63 5.94

3.63 5.95 3.63 5.96

3.63 5.97 3.62 5.98

3.62 5.98

3.62 5.99

3.62 5.99

3.62 5.99

3.62 6.00 3.61 6.00

3.61 6.00

3.61 6.00 3.61 6.00

3.61 6.00 3.61 6.01 3.61 6.01

3.61 6.01

3.61 6.01

3.60 6.01

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00 3.60 6.00 3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00

3.60 6.00 3.60 6.00

3.60 6.00 0.0007459 3720.0

0135 00872

0305 0101 0497 0107 0526 0108

274 00452

198 00497

156 00551

131 OO605

114 00656

101 00705

0905 00752

0824 a 00796

0757 00839

0701 00880

0652 00920

.0611 00958

0574 0100

a 0542 a 0103 0513 0107 0464 0113 0424 0120

0390 0126

0361 0132 0337 0137

0315 0143

296 0148

0279 0. 0154

0264 0159

0251 0164 0223 0176

0200 0. 0187 0182 0199

0167 0210 0143 0230 0125 0250 0111 0. 0270

0100 0289 00833 0325 00714 0359 00625 0393 00555 0425 00500 0456

00400 0531 00333 0602 00286 669 00250 0. 0732 00222 C793

00200 0850 00167 0962 00143 107 00125 117 00111 128

00100 137 000833 156 000714 174 000625 191 000556 208 000500 224 000400 0. 263 000333 299

SCOSITY THERMAL DIELECTRIC PRANDTL OIFFUSIVITY CONSTANT NUMBER

/FT-SEC SQ FT/HR

X 10E*6 2.49 0.00136 1.02042 0.716 2.54 0.00215 1.02028 0.474

2.41 0.00183 1.02001 0.550 2.38 0.00179 1.01997 0.561 0.624 0.00604 1.00167 0.827

0.706 0. 00917 1.00136 0.756

0.792 0.0129 1.00115 0.719 0.674 0.0169 1.00100 0.700

0.952 0.0211 1.00088 0.689

1.03 0.0255 1.00079 0.683

1.10 0.0302 1.00072 0.680

1.17 0.0351 1.00066 0.678 1.24 0.0402 1.00061 0.677

1.30 0.0455 1.00057 0.677

1.37 0.0510 1.00053 0.677

1.43 0.0568 1.00050 0.678

1.49 0.0627 1.00047 0.679

1.55 0.0688 1.00045 0.680

1.60 0.0751 1.00042 0.681

1.71 0.0882 1.00039 0.684

1.82 0.102 1.00035 0.686

1.92 0.116 1.00033 0.689

2.02 0.131 1.00030 0.691

2.12 0.147 1.00028 0.693

2.21 0.164 1.00026 0.695

2.30 0.161 1.00025 0.697 2.39 0.198 1.00023 0.699

2.48 0.216 1.OO022 0.700 2.56 0.235 1.00021 0.701 2.76 0.284 1.00019 0.704

2.95 0.337 1.00017 0.706 3.14 0.393 1.00015 0.707

3.32 0.452 1.00014 0.706

3.65 0.581 1.00012 0.709 3.97 0.722 l.ooon 0.706 4.27 0.874 1.00009 0.707 4.55 1.04 1.00008 0.705 5.10 1.40 1.00007 0.702

5.61 1.61 1.00006 0.698

6.10 2.26 1.00005 0.694 6.57 2.75 1.00005 0.691 6.89 3.29 1.00004 0.675

7.98 4.78 1.00003 0.671

9.00 6.50 1.00003 0.669

10.0 8.43 1.00002 0.667 10.9 10.5 1.00002 0.666

11.6 12.8 1.00002 0.667

12.7 15.3 1.00002 0.668

14.4 20.8 1.00001 0.669

16.0 27.0 l.ooooi 0.668

17.6 33.8 1.00001 0.668

19.1 41.3 1.00001 0.668

20.5 49.5 1.00001 0.667 23.3 67.5 1.00001 0.667

26.0 87.8 1.00001 0.667

28.5 110.0 1.00001 0.666

31.0 135.0 1.00000 0.666 33.4 161.0 1.00000 0.666

39.2 236.0 1.00000 0.666

44.6 323.0 1.00000 0.666

THO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4

i PSIA ISOBAR

TEMPERATUfi E VOLUME ISOTHERM DERIVATIVE

ISOCHORE DERIVATIVEINTERNAL

ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUNO

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB 3TU/LB-R BTU / LB -R FT/SEC

4.0 . 1 J 89 113.0 13.7 1.1*11 1.573 0.4037 0.6766 0.6912 733.8

5.0 j.1113 96.1 25.3 1.938 2.103 0.5229 0.4392 0.5188 725.2

6.0 J. 1157 71.3 29.8 2.523 2.694 0.6305 0.4894 0.6745 674.7

» 6-5".6 3.1193 56.3 30.4 2.920 3.097 C.6946 0.5153 0.7993 635.8

* b.546 1.711 9.91* 1.67 10.27 12.80 2.179 0.7903 1.790 323.0

7.0 1.92l» 12.1 1.1*7 10.72 13.57 2.293 0.7749 1.629 343.4

8.0 2.346 16-2 1.18 11.63 15.11 2.498 0.7576 1.465 380.5

9.0 2.738 19.7 1. 01 12.1.8 16.53 2.666 0.7501 1.392 411.8

10.0 3.11l» 23.1 0.881 13.29 17.90 2.810 0.7466 1.351 439.7

11. 3.H80 26.2 0.786 14. 08 19.24 2.938 0.7450 1.326 465.1

12.0 3.840 29.3 0.711 11*. 87 20.56 3.052 0.7443 1.310 488.8

13.0 4.196 32.3 0. 650 15.61. 21.86 3.157 0.7440 1.298 511.0 14.0 I*. 51*9 35.3 0.599 16.41 23.15 3.253 0.7439 1.289 532.1

15.0 lt.899 38.2 0.555 17.18 24.44 3.341 0.7439 1.282 552.2

16.0 5.21.7 1*1.1 3.518 17.91. 25.72 3.424 0.7440 1.277 571.4

17. u 5.591* 1.3.9 0.1.86 18.71 26.99 3.501 0.7441 1.273 590.0

ie.o 5.939 1*6.8 0.1*57 19.1.7 28.26 3.574 0.7443 1.269 507.9

19.0 b.233 1*9.6 0.1*32 20.22 29.53 3.642 0.7444 1.266 625.2

2C.0 6.626 52.1* 0. 1.09 20.98 30.79 3.707 0.7445 1.264 642.0

22.0 7.310 58.0 3.371 22.1.9 33.32 3.827 0.7446 1.260 674.2

zit.a 7.992 63.5 0.339 21.. 00 35.33 3.937 0.7448 1.257 704.8

26.0 8.672 69.0 0.312 25.50 38.35 4.037 0.7449 1.255 734.1

28.0 9.351 71*.

5

0. 289 27.00 40.85 4.130 0.7449 1.253 762.1

31 .0 1J.03 80.0 0.269 28.50 43.36 4.217 0.7450 1.252 789.1

32. J 10.7] 85.5 0.252 30.00 45.86 4.298 0.7450 1.250 815.2

su.a 11.38 90.9 0.237 31.50 48.36 4.373 0.7450 1.249 840.4

36.0 12.06 96.1* 0.221. 33.00 50.86 4.445 0.7450 1.248 864.9

38.0 12.73 102.0 0.212 34.1.9 53.35 4.512 0.7451 1.248 888.7

40. a 13.1*0 107. 0.231 35.99 55.85 4.576 0.7451 1.247 911.8

1(5.0 15.09 121.0 0.179 39.73 62.03 4.723 0.7451 1.246 967.2

5G.0 16.77 13*. 0.161 1.3.1.6 68.31 4.854 0.7450 1.245 1019.0

55.0 13.1*5 11.8.0 3.11.6 1.7.20 74.53 4.973 0.7450 1.244 1069.0

' 60.0 20.13 161.0 0.131. 50.93 80.75 5.081 0.7450 1.244 1117.0

70. 23.1.9 138.0 0. 111. 58.39 93.18 5.273 0.7450 1.243 1206.0 SCO 26.85 215.0 0.100 65.81. 135.6 5.439 0.7449 1.243 1289.0

90.0 30.20 21.2.0 0. 0890 73.30 118.3 5.585 0.7449 1.242 1367.0

100.0 33.55 269.0 0. OS01 80.75 130.5 5.716 0.7449 1.242 1441.0

12C.0 1*0.26 322.0 3. 0667 95.65 155. 3_ 5.942 0.7449 1.242 1578.0

11.0.0 1*6.97 376.0 0.0572 110.6 18 0.1 6.134 0.7448 1.242 1704.0 16G.0 53.67 1.30.0 0. 0500 125.5 205.0 6.299 0.7448 1.241 1822.0

180.0 60.37 1.83.0 O.O1.1.1. 140.3 229.8 6.446 0.7448 1.241 1932.0

200.0 67.08 537.0 0. 01*00 155.2 254.6 6.576 0.7448 1.241 2036.0

250. 83.83 671.0 0. 0320 192.5 316.7 6.853 0.7448 1.241 2276.0 300.0 100.6 805.0 0.0267 229.7 378.7 7.080 0.7448 1.241 2493.0

350.0 117.3 939.0 0.0229 267.0 440.8 7.271 0.7447 1.241 2693.0

l»00.0 131*.

1

1070.0 3.0200 304.2 502.9 7.437 0.7447 1.241 2878.0

450. 150.9 1210.0 0. 0178 341.4 564.9 7.583 0.7447 1.241 3053.0 5C0.0 167.6 131*0.0 0.0160 378.7 62 7.0 7.714 0.7447 1.241 3218.0

6CC.0 201.1 1610.0 0. 0133 453.1 751.1 7.940 0.7447 1.241 3525.0 700.0 231*.

6

1880.0 0. Dili. 527.6 875.2 8.131 0.7447 1.241 3807.0

800.0 268.2 2150.0 0. jICO 602.1 999.0 8.297 0.7447 1.241 4070.0

900.0 301.7 21*10.0 0. 03889 676.6 1123.0 8.443 0.7447 1.241 4317.0

1G00.0 335.2 2680.0 3.03800 751.0 1248.3 8.574 0.7447 1.241 4550.0

12 0.0 1*02.2 3220.0 0.00667 90 0.0 1496.0 8.8G0 0.7447 1.241 4964.0

1400.0 1*69.2 3750.0 0.00571 1049.0 1744.0 8.992 0.7447 1.241 5384.0

1600.0 536.3 i*290.0 0. 00500 1198.0 1992.0 9.157 0.7447 1.241 5755.0

1800.

J

603.3 4830.0 0.001.1.1. 1347.0 2240.0 9.304 0.7447 1.241 6104.0

20OC.0 670.3 5360.0 0. 001.00 1496.0 2489.0 9.434 0.7447 1.241 6434.0 2500.0 837.9 6700.0 0.00320 1868. 3109.0 9.711 0.7447 1.241 7194.0

3000- 1005.0 801*0.0 0.00267 2240. C 3730.0 9.938 0.7447 1.241 7880.0

TWO-PHASE BOUNDARY
8 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE OENSITY

OEG. R LB/CU FT

p v T

BTU/L3 PSIA-CU FT/BTU PSIA

(DV/DT>/V THERMAL

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R

5 8 986 17.4

6 8 646 14.0

6 546 8 .386 12.4

6 5<»6 5845 6.21

7 5199 6.98

6 4262 8.52

9 3553 10.0

10 3212 11.4

11 2873 12.7

12 2634 14.1

13 2383 15.4

111 2198 16.7

15 20 41 18.0

16 1906 19.3

17 1788 20.6

16 1684 21.9

19 u 1592 23.2

20 1509 24.4

22 1368 27.0

24 1251 29.5

26 a 1153 32.0

26 1059 34.6

30 0997 37-1

32 u 09341 39.6

31. 08787 42.1

36 08295 44.6

38 07855 47.1

41 07460 49.6

45 a 0oo28 S5.8

50 Q 05963 62.1

55 05420 68.3

60 04967 74.5

70 04257 87.0

80 03725 99.4

90 03311 112.0

100 02980 124.0

12C 02484 149. C 1<>0 a 02129 174.0

160 a 01863 199.0

180 J1656 224. 200 01491 248.0

250 01193 310.0

300 J09941 373.0

350 a U08522 435. U it00 007457 497.0

<t50 006629 559.0

500 a 005966 621.

C

600 a 004972 745.0

700 004262 869.0

SCO u 003729 993.0

90 003315 1120.0

1000 002983 1240.0

1200 G 302486 1490.0

1401. 002131 1740.0

16C0 001865 1990.0

1800 001658 2230.0

200C u J 001492 2480.0

2500 .001193 3100.0

2.20 1040. 6.54 8 64.0 7.04 616.0 7.04 472.0

3.62 5.81

3.64 6.30

3.67 6.89

3.67 7.21

3.67 7.41

3.67 7.54

3.67 7.63 3.66 7.70 3.66 7.75 3.66 7.79

3.65 7.83 3.65 7.85 3.65 7.88

3.64 7.89

3.64 7.91

3.64 7.93

3.63 7.95 3.63 7.96

3.63 7.97

3.63 7.98 3.62 7.99

3.62 7.99

3.62 7.99

3.62 8.00 3.62 6.00

3.62 8.00 3.61 8.01

3.61 8.01 3.61 8.01

3.61 8.01

3.61 8.01

3.61 8.01

3.61 8.01

3.60 8.01

3.60 8.01

3.60 8.01

3.60 8.01

3.60 8.01

3.60 8.00

3.60 8.00

3.60 8.00

3.60 8.00

3.60 8.00 3.60 8.00

3.60 8.00

3.60 8.00 3.60 8.00

3.60 e.oo

3.60 8.00

3.60 8.00 3.60 8.00 3.60 8.00 3.60 8.00

3.60 8.00

3.60 6.00 0.0009946 3725

0132 00874

a 0299 0101

0483 0107

a 0645 0110

288 00494

233 00511

172 00560

140 a 00612

119 00662

104 00710

0932 00756

0844 00801

0772 00843

0712 00884

0662 00923

0618 0C962

0580 0100

a 0547 0103 0517 0107

.0467 .0114 0426 0120 0392 a 0126

.0363 0132 0338 a 0138

a 0316 0143

297 0149

0280 0154

0265 0159

0251 0164

a 0223 0176

0201 0186 0182 0199

0167 0210

a 0143 0231 0125 a 0251

.0111 0270

0130 0289 00833 0325 00714 0359 00625 0393 0C555 Q 0425

11 0050C 0456

00400 0531 00333 J602 00286 0669

00250 0732

00222 0793

00200 0850 00167 0962

00143 107 00125 117

a ,00111 128 00100 137 000833 156 O0J714 174 000625 191 000556 208 000500 224 000400 263 000333 a 299

SCOSITY THERMAL OIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER /FT-SEC SQ FT/HR

X 10E+6 2.51 0.00138 1.02043 0.716

2.56 0.00216 1.02030 0.474 2.43 0.00184 1.02004 0.549

2.32 0.00164 1.01981 0.607 0.681 0.00472 1.00215 0.889

0.721 0. 00604 1. 00192 0.827 0.606 0.00897 1.00158 0.759

0.887 0.0120 1.00136 0.726 0.964 0.0152 1.00120 0.709

1.04 0.0186 1.00107 0.698

1.11 0.0222 1.00097 0.692

1.18 0.0259 1.00089 0.688 1.25 0.0298 1.00082 0.685

1.31 0.0338 1.00076 0.684

1.37 0.0379 1.00071 0.684

1.43 0.0423 1.00067 0.684

1.49 0.0467 1.00063 0.684

1.55 0.0513 1.00060 0.684

1.61 0.0560 1.00057 0.685

1.72 0.0659 1. 00051 0.687

1.63 0.0763 1.00047 0.689

1.93 0.0871 1.00043 0.691 2.03 0.0985 1.00040 0.693 2.12 0.110 1.00038 0.695

2.22 0.123 1.00035 0.697

2.31 0.135 1.00033 0.698 2.39 0.149 1.00031 0.700

2.48 0.162 1.00030 0.701 2.56 0.176 1.00028 0.702 2.77 0.213 1.00025 0.705

2.96 0.253 1.00022 0.706 3.14 0.295 1. 00020 0.708

3.32 0.339 1. 00019 0.708 3.65 0.436 1.00016 0.709 3.97 0.541 1.00014 0.708 4.27 0.656 1.00012 0.707

4.56 0.780 1.00011 0.705

5.10 1.05 1.00009 0.702

5.61 1.36 1.00008 0.698

6.10 1.70 1.00007 0.694 6.57 2.07 1.00006 0.691 6.89 2.47 1.00006 0.675

7.98 3.59 1.00005 0.671

9.01 4.86 1.00004 0.669

10. 6.32 1.00003 0.667

10.9 7.91 1. 00003 0.666

11.8 9.64 1.00003 0.667

12.7 11.5 1.00002 0.668

14.4 15.6 1.00002 0.669

16.0 20.2 1.00002 0.668

17.6 25.4 1.00001 0.668

19.1 31.0 1.00001 0.668

20.5 37.1 1.00001 0.667

23.3 50.6 1.00001 0.667

26.0 65.8 1.00001 0.667

28.5 82.7 1. ooooi 0.666

31.0 101.0 l.aoooi 0.666

33.4 121.0 1.00001 0.666

39.2 177.0 i. ooooo 0.666

44.6 242.0 1.00000 0.666

TWO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM It 10 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R 3TU/LB BTU/LB 9TU/L8-R BTU / LB -R FT/SEC

lt.0 0.10 86 115.0 13.7 1.408 1.610 0.4029 0.6707 0.6850 736.5

5.0 o.mo 98.0 25.9 1.930 2.135 0.5212 0.4385 0.5164 731.1

6.0 0.1153 73.3 29.9 2.509 2.723 C.6280 0.4889 0.6695 681.8

* 6.910 0.1218 48.0 30.6 3.203 3.429 0.7373 0.5318 0.9013 613.7

• 6.910 1.388 9.44 2.08 10.34 12.91 2.110 0.7937 1.927 325.8

7.0 1.426 9.94 2.02 10.44 13.08 2.135 0.7897 1.872 330.4

8.0 1.798 14.6 1.56 11.44 14.77 2.361 0.7634 1.563 372.7

9.0 2.129 18.5 1.31 12.32 16.26 2.537 0.7526 1.447 406.3

10.0 2.1140 22.1 1.13 13.16 17.58 2.686 0.7477 1.387 435.6

11.0 2.741 25.4 1.00 13.97 19.05 2.817 0.7454 1.352 462.0

12-0 3.035 28.6 0.904 14.77 20.39 2.933 0.7444 1.330 486.3

13.0 3.324 31.7 0. 824 15.55 21.71 3.039 0.7439 1.314 509.0

llt.O 3.610 34.7 0.757 16.33 23.02 3.136 0.7438 1.302 530.5

15.0 3.893 37.7 0.701 17.10 24.31 3.225 0.7438 1.293 550.9

16.0 4.174 40.6 0.653 17.87 25.60 3.309 0.7439 1.287 570.4

17.0 4.454 43.5 0.612 18.64 26.89 3.386 0.7440 1.281 589.2

18.0 4.732 46.4 0.575 19.40 28.16 3.459 0.7442 1.277 607.2

19.0 5.009 49.3 0.543 20.16 29.44 3.528 0.7443 1.273 624.7

20.0 5.285 52.1 0.514 20.92 30.71 3.594 0.7444 1.270 641.6

22.0 5.835 57.7 0.465 22.44 33.24 3.714 0.7446 1.265 674.0

2i».0 6.383 63.3 0.425 23.95 35.77 3.824 0.7448 1.261 704.8

26.0 6.929 68.9 0.391 25.46 38.29 3.925 0.7449 1.258 734.2

28.0 7.474 74.4 0.362 26.96 40.80 4.018 0.7450 1.256 762.3

30.0 8.017 79.9 0.338 28.47 43.31 4.105 0.7450 1.254 789.4

32.0 8.560 85.4 C.316 29.97 45.82 4.186 0.7451 1.253 815.5

34.0 9.102 90.9 0.297 31.47 48.32 4.262 0.7451 1.251 840.8

36.0 9.643 96.3 0.280 32.97 50.82 4.333 0.7451 1.250 865.3

38.0 10.18 102.0 0.265 34.47 53.32 4.401 0.7451 1.249 889.1

ttO.O 10.72 107.0 0.252 35.96 55.82 4.465 0.7451 1.248 912.3

".5.0 12.07 121.0 0.223 39.70 62.06 4.612 0.7451 1.247 967.7 50.0 13.42 134.0 0.201 43.44 68.29 4.743 0.7451 1.246 1020.0

55.0 14.77 148.0 0.182 47.18 74.52 4.862 0.7451 1.245 1070.0

60.0 16.11 161.0 0.167 50.91 80.74 4.970 0.7451 1.244 1117.0

70.0 18.80 188.0 0.143 58.37 93.18 5.162 0.7450 1.243 1206.0

80.0 21.48 215.0 0.125 65.83 105.6 5.328 0.7450 1.243 1290.0

90.0 24.17 242.0 0.111 73.29 118.0 5.474 0.7450 1.243 1368.0

100.0 26.85 269.0 0.100 80.74 13-0.5 5.605 0.7449 1.242 1441.0 120.0 32.22 323.0 0.0834 95.65 155.3 5.831 0.7449 1.242 1578.0 140.0 37.53 376.0 0.0715 110.5 180.1 6.023 0.7449 1.242 1705.0

160.0 42.94 430.0 0.0625 125.4 205.0 6.189 0.7448 1.242 1822.0

180.0 48.31 484.0 0.0556 140.3 229.8 6.335 0.7448 1.241 1932.0

200.0 53.67 537.0 0.0500 155.2 254.6 6.466 0.7448 1.241 2037.0

250.0 67.08 671.0 0.0400 192.5 316.7 6.743 0.7448 1.241 2276.0 300.0 80.48 805.0 0.0333 229.7 378.8 6.969 0.7448 1.241 2493.0

350.0 93.89 939.0 0.0286 267.0 440.8 7.160 0.7448 1.241 2693.0

l»00.0 107.3 1070.0 0.0250 304.2 502.9 7.326 0.7448 1.241 2879.0

It50.0 120.7 1210.0 0.0222 341.4 564.9 7.472 0.7447 1.241 3053.0 500.0 134.1 1340.0 0. 0200 378.7 627.0 7.603 0.7447 1.241 3218.0 600.0 16U.9 1610.0 0.0167 453.1 751.1 7.829 0.7447 1.241 3525.0 700.0 187.7 1880.0 0.0143 527.6 875.2 8.021 0.7447 1.241 3807.0

800.0 214.5 2150.0 0.0125 602.1 999.0 8.186 0.7447 1.241 4070.0

900.0 241.3 2410.0 0.0111 676.6 1123.0 8.332 0.7447 1.241 4317.0

1000.0 268.2 2680.0 0.0100 751.0 1248.0 8.463 0.7447 1.241 4550.0

1200.0 321.8 3220.0 0.00833 900.0 1496.0 8.690 0.7447 1.241 4984.0

lit 0.0 375.4 3750.0 0.00714 10 49.0 1744.0 8.881 0.7447 1.241 5384.0

160C.0 429.0 4290.0 0.00625 1198.0 1992.0 9.047 0.7447 1.241 5755.0 18G0.O 482.6 4830.0 0.00556 1347.0 2241.0 9.193 0.7447 1.241 6104.0

2000.0 536.3 5360.0 0.00500 1496.0 2489.0 9.324 0.7447 1.241 6435.0 2500.0 670.3 6700.0 0.00400 1868.0 3109.0 9.601 0.7447 1.241 7194.0 0.00333 2240.0

» THO-PHASE BOUNDARY
10 PSIA ISOBAR

THERMOPHYSICAL PROPFRTIES OF HELIUM 1

TEMPERATURE DENSITY

OE6. R LB/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(OV/OTI/I/ THERMAL

P CONDUCTIVITY

1/OEG. R 8TU/FT-HR-R

5.,0 9,.008 17.6

6 ,0 8,.675 11.2

6,,910 a,,210 11.6

6,,910 0,.7205 6.29

7,,0 0,,7011 6.16

6.,0 0,,5561 8.11

9,,0 0,,1698 9.65

10..0 0.,1098 11.1

11,,0 0,,3618 12.5

IE,,0 0,,3295 13.9

13.,0 0.,3008 15.2

lit,,0 0,,2770 16.5

15,, 0,,2569 17.8

16..d 0..2396 19.2

17,,0 0,,2215 20.5

ie,,0 0,,2113 21.8

19,,0 a.,1996 23.0

20.,0 0,,1892 21.3

22,,0 0,,1711 26.9

21,,0 0.,1567 29.1

26,,0 0,,1113 32.0

28,,0 a,,1338 31.5

3C,,0 a.,1217 37.0

32.,0 0..1168 39.6

31,,0 a,,1099 12.1

36,.0 0,,1037 11.6

38,,0 0,.09820 17.1

1.0,,0 0.,09325 19.6

15,,0 0,,08283 55.8

50,,0 0,.07152 62.1

55,,0

,0

0,

0,,06773 68.3

60, ,06207 71.6

70,,0 0,,05320 87.0

SO,.0 0,,01655 99.1

90,,0 0,,01138 112.0

100,,0 a,,03721 121.0

120.,0 0.,03101 119.0

110..0 0,,02661 171.0

160..0 0.,02329 199.0

let..0 o.,02070 221.0

200.,0 0,,01863 218.0

250.,0 0,,01191 311.0

300.,0 0.,01213 373.0

350,,0 0.,01065 135.0

100,,0 0.,009320 197.0

150..0 0,,008285 559.0

500. a,,007157 621.0

60C,.0 0.,006215 715.0

700.,0 0.,005327 869.0

800..0 0..001661 993.0

90 0,,0 0,,001113 1120.0

1000,,0 a,,003729 1210.0

1200,,0 0,,003108 1190.0 HOG,,0 a,,002661 1710.0

160 0,,0 0,,002331 1990.0

1800,,0 a,,002072 2230.0

2000,,0 0,,001865 2180.0

2500,,0 0,,001192 3100.0

3000,,0 0,,001213 3720.0

2.22 1060.0 6.55 883.0 7.06 6 36.0 7.00 391.0 3.61 6.80 3.65 6.97

3.68 6.15 3.69 8.71

3.69 9.05 3.69 9.26

3.69 9.12

3.68 9.53 3.68 9.61

3.67 9.68

3.67 9.73

3.66 9.77

3.66 9.81

3.66 9.83 3.65 9.36

3.65 9.89

3.61 9.92 3.61 9.91 3.61 10. 3.63 10.0 3.63 10.0 3.63 10.0 3.63 10.0 3.62 10.0 3.62 10.0 3.62 10.0 3.62 10.0 3.62 10.0 3.61 10.0 3.61 10.0 3.61 10.0 3.61 10.0 3.61 10.0 3.61 10.0 3.61 10.0

3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0 3.60 10. 3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0

3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0 3.60 10.0

3.60 io.o 3.60 io.o 3.60 10.0

a,,0130 0,,00876

0,.0293 0,,0101

0,,0171 0,,0108

0,,0775 0,,0112

0,,306 0..00531

,290 0,,00533

0,,192 0,,00571

0,,150 0,,00619

0,,125 0,,00668

0,,108 0,,00715

0.,0960 0,,00761

0,,0861 0,

0,,00805

0,,0788 ,00817

0,,0725 0,,00888

0..0671 0,,00927

0,,0626 0,,00965

0,,0587 0,,0100

o.,0552 0.,0101

0,,0522 0,,0107

0.,0170 0,,0111

0.,0128 0,,0120

0.,0391 0,,0126

0,,0361 0,,0132

0,,0339 0,,0138

0,,0317 0,,0113

0,,0297 0,,0119

0,,0250 0,,0151

0,,0265 0. 3159

0.,0252 0,,0161

0,,0223 0,,0176

0.,0201 0. 0188

c.,0182 0,,0199

0,,0167 0,,0210

0,.0113 0..0231

0,,0125 0,,0251

0,,0111 0,,0270

0.,0100 0,,0289

,00833 0.,0325

0,,00711 0,,0359

0,,00621 0,,0393 ,00555 0,,0125

0,,00500 0,,0156

0,,00100 0,,0*31

0.,00333 0. 0602

0,,00286 0.,0669

0,,00250 0,,0732

0,,00222 0,,0793

0,,00200 a,,0650

0.,00167 0,,0 962

0,,00113 0,,107

0,,00125 0,,117

0,,00111 0,,128

0,,00100 0,,137

0,,000833 0. 156

0,,000711 0,,171

0,,000625 0,,191

0,.000555 0,,208

0,,000500 0,,221

0,,000100 0,,263

0.,000333 0, 299

SCOSITY THERMAL OIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

l/FT-SEC SQ FT/HR

X 10E*6 2.53 0.00139. 1.02015 0.711

2.58 0.00218 1.02031 0.171

2.15 0.00186 1.02006 0.518 2.26 0.00151 1.01961 0.657 0.732 0.00332 1.00261 0.956

.739 0.00106 1.00257 0.935

0.821 0.00657 1.00205 0.808

0.900 0.00911 1.00171 0.757 0.976 0.0117 1.00152 0.730

1.05 0.0115 1.00136 0.711

1.12 0.0171 1.00123 0.701 1.19 0.0201 1.00112 0.698

1.25 0.0235 1.00103 0.691

1.32 0.0267 1.00096 0.691

1.38 0.0301 1.00090 0.690 1.11 0.0336 1.00061 0.689

1.50 0.0371 1.00079 0.689

1.56 0.C108 1.00075 0.689

1.62 0.0116 1.00071 0.689

1.73 0.0525 1.00061 0.690

1.83 0.0609 1.00059 0.692

1.93 0.0696 1.00051 0.693 2.03 0.0787 1.00050 0.695 2.13 0.0882 1.00017 0.697 2.22 0.0980 1.00011 0.698 2.31 0.108 1.00011 0.699

2.10 0.119 1.00039 0.701 2.18 0.130 1.00037 0.702

2.57 0.111 1.00035 0.703

2.77 0.171 1.00031 0.705

2.96 0.202 1.00028 0.707 3.11 0.236 1.00026 0.708

3.32 0.272 1.00023 0.709

3.65 0.319 1.00020 0.709

3.97 0.133 1.00013 0.708 1.27 0.525 1.00016 0.707 1.56 0.621 1.00011 0.706

5.10 0.813 1.00012 0.702 5.61 1.09 1.00010 0.696

6. 10 1..36 1.00009 0.691 6.57 .1.65 1.00008 0.691 6.69 1.97 1.00007 0.675 7.98 2.87 1.00006 0.671 9.01 3.90 1.00005 0.669

10.0 5.06 1.00001 0.667

10.9 6.33 1.00001 0.666

11.8 7.71 1.00003 0.667

12.7 9.19 1. 00003 0.668

11.1 12.5 1.00002 0.669

16.0 16.2 1.00002 0.668

17.6 20.3 1.00002 0.668

19.1 21.8 1.00002 0.668

20.5 29.7 1.00001 0.667 23.3 10.5 1.00001 0.667

26.0 52.7 1.00001 0.667

28.5 66.1 1.00001 0.666

31.0 30.9 1.00001 0.666 33.1 96.9 l.oaooi 0.666

39.2 112.0 1.00001 0.666

11.6 191.0 1.00000 0.666

TWO-PHASE BOUNDARY
12 P5IA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM l>

EMPE^ATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

DEG. R CU FT/LB SU FT-PSIA/LB PSIA/R BTU/L8 BTU/LB

<t.O 3.1 J 81. 116.0 13.7 1.1.06 1.61.6 5.0 J. 1108 100.0 25.9 1.922 2.168

6.0 0.111.9 75.3 30.1 2.1.96 2.751

7.0 J. 1220 1.7.6 30.7 3.259 3.533 7.228 J.12IC. 1.0.9 30.3 3.1*71* 3.751 7.228 1.16i« 8.86 2.51 10.38 12.96

6.0 l.<«27 13.0 2.00 11.22 11..39 8.0 1.720 17.3 1.63 12. 16 15.98

1O.0 1.990 21.1 1.1.0 13.02 17.1.5 11. 2.21.8 ZW. 5 1.23 13.85 18.85

12.0 2.1.98 27.8 1.10 li.. 66 20.21

13.0 2.71.3 31.0 1. 00 15.1.6 21.55

11*. 2.981. 31..3.92C 16.25 22.88

15.0 3.223 37.2 0.850 17.03 21.. 19 16.0 3.1.59 1.0.2 0.791 17.80 25.1.9 17.

3.691. 1.3.1 0. 71.0 18.57 26.78

18.0 3.928 1.6.0 0.695 19.31. 28.07

19.0 1..160 1.8.9 0.656 20. 1C 29.35

20.0 t.392 51.8 0.621 20.87 30.62

22.0 1..852 57.5 0.561 22.39 33.17

21*. 5.311 63.1 0.512 23.90 35.70

26.0 5.757 68.7 0.1.71 25.1.1 38.23

28.0 6.223 71..

0.1.36 26.92 1.0.75 30.0 6.677 79.8 0.1.06 28.1.3 1.3.26 32.0 7.130 85.3 0. 380 29.9? 1.5.78

3<t.O 7.583 90.8 0.357 31.1.1. 1.8.28 36.0 8. 031. 96.3 0.337 32.91. 50.79

38.0 8.1.86 102.0 0.319 31.. 1.1. 53.29

1.0.0 8.936 107.0 0.302 35.91. 55.79

1)5.0 10.06 121.0 0.268 39.68 62.01. 50.0 11.19 13i». 0.21.1 1.3.1.2 68.27

55.0 12.31 11.8.0 0.219 1.7.16 71.. 51 60.0 13.1.3 161.0 0.201 50.89 80.73

70. 15.67 188.0 0.172 58.36 93.18

6L.ii 17.91 215.0 0.15C 65.82 105.6 90.0 20.15 21.2.0 0.131. 73.28 118.0 100.0 22.38 269.0 0. 120 80.73 13 . 5 120.0 26.85 323.0 0. 100 95.61. 155.3

11*0.0 31.33 376. 0. 0957 110.5 180. 1 160.0 35.30 1.30.0 0.0750 125.1. 205.0 180.0 1.0.26 1.81.. 0. 0667 11.0.3 229.8

200.0 I.".. 73 537.0 0. 0600 155.2 251..

250.0 55.91 671.0 0.01.80 192.5 316.7

300.0 67.08 806.0 0. Gi.00 229.7 378.8

350.0 78.25 91.0.0 0.031.3 267.0 1.1.0.8

1.0 0.0 89.1.2 1070.0 0.0300 301..

502.9

1.50.0 100.6 1210.0 0. 0267 31.1.1. 565.0

500.0 111.8 131.0.0 0. 021.0 376.7 627.0 600.0 131..

1610.0 0. 0200 1.53.1 751.1 7G0.0 156.1. 1880.0 0.0171 527.6 875.2 800.0 178.8 2150.0 0.0150 602.1 999.0 90C.0 201.1 21.10.0 0. 0133 676.6 1123.0 100C.0 223.5 2680.0 O.C120 751.0 121.8.0 1200.0 268.2 3220.0 0. 0100 900.0 11.96. moo.a 312.8 3750.0 0. 657 101.9. 171*1*. 160C.0 357.5 1.290.0 O.C0750 1198.0 1992.0

1800.0 1.02.2 1.830 . C 0.OJ667 131.7.0 221*1.0 2000.0 1.1.6.9 5360.0 0. 00600 11.96.0 21*89.0 2500.0 558.6 6700.0 0. 001.80 1868.0 3109.0

3000.0 670.3 801.0.0 0. 001.00 221.0.0 3730.0

.1.020 .5195

.6257

.71.51. .7761. .051 .239

.1.27 2.581 2.715

.831*

,91*1 039

130

211. 292

365

,1.35 ,500

,621 3.732

3.833

3.926

1.. 013

1..091. 1..170

1..21.2 "..309

1..373

,521 652

.771

,879

,071

,237

,383

,511. ,7<*1 ,932

,098

,21*1* ,375 552

,878 070

,235 382

,512

,739

7.930 8.096

8.21.2 6.373 8.599

8.790

P. .956 9.102

9.233

9.510 9.736

0.6650

0.1.378

0.1*881* 0.5352

0.51.67 0.7967 0.7707

0.7558

0.71.91

0.71.60

0.71.1.5 0.71.39

0.71.37

0.71*37 0.71*38

0.71.39

0.71. 1*1 0.71.1.2

0.71.1.3 0.71.1.6

0.71.1.8 0.71.1.9 0.71.50 0.71.51

0.71.52

0.71*52 0.71*52

0.71*52

0.71.52

0.71*52

0.71*52 0.71*52

0.71*51

0.71.51

0.71.50

0.71.50

0.71.50

0.71.1.9 0.741*9

0.71.1.9 0.71.1.8

.71*1*8 C. 71* 1*8 0.71*1.8

0.71.1.8

0.71*1*8 0.7i»i*8

0.71.1.8

. 71*1*7

0.71*1*7

0.71.1.7

0.71*1*7

.71*1*7 0.71*1*7 0.741.7

0.71.1.7 0.71*1*7

0.71*1.7

0.71.1.7

0.741.7

CP VELOCITY

OF SOUND

-R FT/SEC

0,.6789 71*2.1

0, 511.0 736.9

.661.7 688.8

0,,9186 611*.

1,.013 592.1*

2.,083 327.6

1,.691* 363.9

1,,513 1*00.5

1 ,.28 1.31.3

1,.381 1*58.7

1,,351 1*83.8

1 .330 507.0

1,,316 528.9

1,,305 51.9.6

1,.296 569.1.

1.,289 588.1.

1,,281* 6G6.6

1,.280 621..

1 ,276 61.1.2

1 ,270 673.9

1..265 70*1.8

1,,262 731*.

1 ,259 762.5

1 ,257 789.7

1,,255 815.9

1,.253 81*1.2

1,,252 865.7

1..251 889.6

1..250 912.7

1,,21.8 968.2

1,,21*7 1021.0

1..21*6 1070.0

1 ,21*5 1118.0

1,,21*1* 1207.0

1,.21.3 1290.0

1,,2<*3 1368.0

1,,21*2 11*1*2.0

1,,21*2 1579.0

1,,21.2 1705.0

1,,21.2 1822.0

1,,21*1 1933.0

1,,21.1 2037.0

1,,21*1 2277.0

1,,21*1 21*91*.

1.,21*1 2693.0

1,,21*1 2879.0

1,,21*1 3053.0

1.,21*1 3218.0

1,,21*1 3525.0

1.,21.1 3S08.0

1. 21*1 1*070.0

1,,21.1 1*317.0

1,,21*1 1*550.0

1,,21*1 1*965.0

1,,21.1 5381*.

1,,21.1 5755.0

1,,21.1 6101*.

1. 21.1 61*35.0

1,.21*1 7191*.

1.,21*1 7881.0

TWO-PHASE BOUNDARY
12 P3IA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

OEG. R L3/CU FT

\MOH/DV> VIDP/DU) -vidp/dv)

p v T

BTU/LB PSIA-CU FT/PTU PSIA

4,,0 9,,223 53.4

5,,0 9,,029 17.9

6.,0 8,,703 14.5

7,,0 8,,195 11.6

7,,228 8.,337 11.0

7,,228 0,,8594 6.32

8,,0 0,,7008 7.74

9,,0 0,,5814 9.34

10,.0 0,,5025 10.8

11,,0 0,,4449 12.3

12,,0 0,,4004 13.6

13,,0 0,,3646 15.0

14,.0 0,,3351 16.4

15,,0 a,,3103 17.7

16,,0 0,,2891 19.0

17,,0 0,,2707 20.3

18. 0,,2546 21.6

19.,0 0.,24 34 22.9

2L.,0 0,,2277 24.2

22.,0 0,.2061 26.6

24,.0 0,,1883 29.4

26,,0 0,,1734 31.9

28..0 0., 1637 34.5

30,,0 0,,1498 37.0

32., , ,1403 39.5

34.,0 0,,1319 42.0

36,,0 0,,1245 44.6

38,,0 0,,1178 47.1

4C,,0 0,,1119 49.6

45,,0 0,.09939 55.8

50,,0 0,,08940 62.1

55,,0 0,,08125 68.3

60. 0. 07447 74.6

70., u 0,,06382 87.0

80.,0 0,,05584 99.5 9C 0, 04964 112.0

100.,0 0,,04468 124.0

120,,0 0,,03724 149.0

140,,0 a,,03192 174.0

160,,0 0,,02794 199.0

18C,,0 0,,02484 224.0

200,,0 0,,02235 249.0

250,,0 0,,01789 311.0

3l)C,,0 a,,01491 373.0

350,,0 a,,01278 435.0

400. 0,,01118 497.0

45G,,0 u

,

,009941 559.0

500,, a 0,,008943 621.0

600,.0 0,,307457 745.0

700,,0 0,,006392 869.0

800., a,,005593 993.0

900.,0 a.,004972 1120.0

1000,,0 a,,004475 1240.

C

1200,,0 0,,003729 1490.

1400,,0 0,,003197 1740.0

1600,,0 a,,302797 1990.0

18CC,,0 D..0U2486 2230.0

2000.,0 a,,002238 2480.0

2500. 0, 001790 3100.0

3000,,0 0,,031492 3720.0

2.23 1070.0 6.55 901.0 7.08 655.0

7.01 390.0

6.91 329.0 3.66 7.61

3.69 9.12

3.71 10.1 3.71 1C.6

3.71 10.9

3.70 11.1 3.70 11.3 3.69 11.4 3.68 11.5 3.68 11.6 3.67 11.7 3.67 11.7 3.67 11.8 3.66 11.8

3.66 11.6 3.65 11.9 3.65 11.9 3.64 11.9

3.64 12.0 3.64 12.0 3.63 12.0 3.63 12. Q 3.63 12.0 3.63 12.0

3.62 12.0 3.62 12.0 3.62 12.0 3.62 12.0 3.61 12.0 3.61 12.0 3.61 12.0 3.61 12.0 3.61 12.0 3.61 12.0

3.61 12.3 3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0 3.63 12.0

3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0 3.60 12.0

3.60 12.0 3.63 12.0 3.60 12.0 3.60 12.0 3.60 12.0

(DV/DT)/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. P 3TU/FT-HR-R LB/FT-SEC

X 10E+6

2.56

2.60 2.47

2.26

2.20 0.779

0.837 0.914

0.988

1.06

0,,0127 0,,00877

0,.0237 0,,0102

0.,0459 0. 0108

.0789 G,,3112

0,,0923 a,,0113

0..329 0,,00567

0,,219 0,,00585

0,,162 0,,00628

0,,132 0,,00674

0,.113 0,,00721

0,,0990 0.,00766

0.,0886 0,,00809

0,,0804 0. 30851

0,,0737 0,,00892

0,.0681 0,,00931

.0634 0,.0 0968

0,,0593 0,,0101

0,,0558 0,,0104

0,.0526 0,,0108

0,,0474 0,,0114

0,,0431 0,,0121

0,.0395 0,,0127

0,,0365 0,,0133 ,0340 0,,0138

0,,0318 0,,0144

0,.0298 0,,0149

0,,0281 0,,0154

0,,0266 0,,0159

0,.0252 0.,0164

0,,0223 0,,0176

0,,0201 0,,0188 .0182 0. 0199

0,,0157 0,,0210

0,,0143 0,,0231

0.,0125 0,,0251

0, 0111 a,,0270

0,,0100 0,,0289

0,,00832 0,,0325

0,,00714 0. 0360

0,,00624 0,,0393

0,,00555 0,,0425

0,,00500 0. 0457

0,.0C400 0,,0531

0,,00333 0,,0602

0,,00286 0,,0669

0,,00250 0,,0732

0,,00222 0,,0793

0,,00200 0,,0850

0..00167 0,,0962

0,,00143 0,,107

0,,00125 0,,117

o.,00111 0. 128

0,,00100 0,,137

0,,000833 0..156

0,,000714 0. 174

0,,000625 0,,191

0,,000555 0.,208

0,,000500 0.,224

0,,000400 0.,263

0,,000333 0.,299

1.13

1.84

1.94 2.04

2.13

2.22 2.31

2.40 2.49

2.57

2.77 2.96

3.15

3.32 3.66

3.97

4.27 4.56

5.10 5.61

6

6

6

79

10

1011.8

12.7

14.4

THERMAL DIELECTRIC PRANDTL OIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.00140 1.02046 0.712 0.C0219 1.02033 0.475 0.00187 1.02008 0.546 0.00149 1.01963 0.665 0.00138 1.01947 0.713 0.00316 1.00312 1.03 0.00493 1.00257 0.873 0.00714 1.00214 0.793 0.00939 1.00186 0.754 0.0117 1.00165 0.731 0.0142 1.0O149 0.718 0.0167 1.00136 0.709 0.0193 1.00125 0.703 0.0220 1.00116 0.699 0.0248 1. 00108 0.696 0.0277 1.00101 0.695 0.0307 1.00095 0.694

0.0338 1.00090 0.693 0.0370 1.00085 0.693 0.0436 1.00077 0.694 0.0506 1.00071 0.694 0.0579 1.00065 0.696 0.0655 1.00060 0.697 0.0734 1.00056 0.698

0.0816 1.00053 0.699

0.0902 1.00050 0.701 0.0990 1.00047 0.702

0.108 1.00044 0.703

0.118 1.00042 0.704

0.142 1.00037 0.706 0.169 1.00034 0.707

0.197 1.00031 0.708 0.227 1.00028 0.709

0.291 1.00024 0.709

0.361 1.00021 0.709

0.438 1.00019 0.707

0.521 1.00017 0.706

0.703 1.00014 0.702

0.907 1.00012 0.698

1.13 1.00011 0.694

1.38 1.00009 0.691

1.64 1.00008 0.675

2.39 1.00307 0.671 3.25 1.00006 0.669 4.22 1.00005 0.667 5.28 1.00004 0.666

6.43 1.00004 0.667 7.66 1.00003 0.668

10.4 1.00003 0.669

13.5 1.00002 0.668

16.9 1.00002 0.668

20.7 1.00002 0.668

24.7 1.00002 0.667

33.7 1.00001 0.667 43.9 1.00001 0.667

55.1 1.00001 0.666

67.4 1.00001 0.666

80.7 1.00001 0.666

118.0 1.00001 0.666

162.0 1.00001 0.666

THO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM It 14.696 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM

DERIVATIVE

ISOCHORE DERIVATIVE

INTERNAL ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

it.

0.1081 119.0 13.6 1.402 1.696 0.4010 0.6574 0.6709 749.5

5.0 J. llOi. 102.0 25.9 1.912 2.213 0.5174 0.4369 0.5110 744.

6.0 0.111.1. 77.9 30.3 2.478 2.790 0.6226 0.4877 0.6587 697.9

7.0 0.1212 50.4 31.1 3.227 3.556 0.7405 0.5338 0.8991 627.3

7.60". 0.1282 32.7 29.7 3.829 4.178 C.8255 0.5659 1.191 564.2

* 7.601. 0.9484 7.98 3.11 10.38 12.96 1.981 0.8002 2.337 328.6

6.0 1.075 10.5 2.70 10.88 13.80 2.089 0.7830 1.970 350.3

9.0 1.3*1 15.5 2.12 11.92 15.57 2.297 0.7609 1.626 392.1 10.0 1.575 19.7 1.78 12.83 17.12 2.460 0.7514 1.493 425.4

11.0 1.791. 23.4 1.55 13.69 18.58 2.599 0.7470 1.424 454.3

12.0 2.00lt 26.8 1.38 14.52 19.98 2.721 0.7449 1.382 480.3

13.0 2.209 30.2 1.25 15.33 21.34 2.831 0.7440 1.355 504'.3 14.0 2.410 33.4 1.14 16.13 22.69 2.930 0.7436 1.335 526.7

15.0 2.638 36.5 1.06 16.92 24.02 3.022 0.7435 1.321 547.9

16.0 2.803 39.5 0. 981 17.70 25.33 3.107 0.7436 1.310 568.0

17.0 2.997 42.6 0.916 18. 4e 26.64 3.186 0.7438 1.301 587.3

18.0 3.190 45.5 0.859 19.25 27.93 3.260 0.7439 1.294 605.7

19.0 3.381 48.5 0.810 20.02 29.22 3.330 0.7441 1.289 623.5

20.0 3.572 51.4 0.766 20.79 30.51 3.396 0.7443 1-284 640.7

22.0 3.951 57.1 0.691 22.32 33.07 3.518 0.7446 1.277 673.6

21.. 4.327 62.8 0.630 23.84 35.61 3.628 0.7448 1.271 704.8

26.0 "t.702 68.5 0.579 25.35 38.15 3.730 0.7450 1.267 734.5

28.0 5.075 74.1 0.536 26.87 40.60 3.824 0.7451 1.263 762.8

30.0 5.447 79.7 0.499 28.38 43.20 3.911 0.7452 1.260 790.1

32.0 5.818 85.2 0.467 29.88 45.72 3.992 0.7453 1.258 816-3

3it.O 6.189 90.7 0.438 31.39 48.23 4.068 0.7453 1.256 841.7 36.0 6.559 96.3 0.413 32.89 50.74 4.140 0.7453 1.254 866.3 38.0 6.928 102.0 0.391 34.40 53.25 4.208 0.7453 1.253 890.2

ItO.O 7.297 107.0 0.371 35.90 55.76 4.272 0.7453 1.252 913.4

1.5.0 8.217 121.0 0.329 39.65 62.01 4.419 0.7453 1.250 968.9

50.0 9.136 134.0 0.296 43.39 68.25 4.551 0.7453 1.248 1021.0

55.0 10.05 148.0 0.269 47.13 74.49 4.670 0.7453 1.247 1071.0

60.0 10.97 162.0 0.246 50.87 80.72 4.778 0.7452 1.246 1118.0

70.0 12.80 189.0 0.211 58.34 93.17 4.970 0.7452 1.245 1208.0

80.0 l<t. 63 215.0 0.184 65.80 105.6 5.136 0.7451 1.244 1291.0

90.0 16.1.6 242.0 0.164 73.26 118.0 5.283 0.7451 1.243 1369.0

100.0 18.28 269.0 0.147 80.72 1-3 0.5 5.414 0.7450 1.243 1442.0 120.0 21. 94 323.0 0.123 95.63 155.3 5.640 0.7450 1.242 1580.0

lUO.O 25.59 377.0 0.105 110.5 180.2 5.832 0.7449 1.242 1706.0

160.0 29.24 430.0 0.0919 125.4 205.0 5.997 0.7449 1.242 1823.0

180.0 32.89 484.0 0.0817 140.3 229.8 6.144 0.7449 1.242 1933.0 200.0 36.54 538.0 0.0735 155.2 254.7 6.274 0.7449 1.241 2037.0

250.0 45.66 672.0 0.0588 192.5 316.7 6.551 0.7448 1.241 2277.0

300.0 54.78 806.0 0.0490 229.7 37 8.8 6.778 0.7448 1.241 2494.0 350.0 63.90 940.0 0.0420 267.0 440.9 6.969 0.7448 1.241 2694.0

1.00.0 73.02 1070.0 0.0367 304.2 502.9 7.135 0.7448 1.241 2879.0

<tsO. a 82.15 1210.0 0.0327 341.4 565.0 7.281 0.7448 1.241 3054.0

500.0 91.27 1340.0 0.0294 378.7 627.0 7.412 0.7448 1.241 3219.0 600.0 109.5 1610.0 0.0245 453.1 751.2 7.638 0.7448 1.241 3526.0 700.0 127.8 1880.0 0.0210 527.6 875.3 7.829 0.7447 1.241 3808.0

800.0 146.0 2150.0 0.0184 602.1 999.0 7.995 0.7447 1.241 4070.0

900.0 164.2 2410.0 0.0163 676.6 1124.0 8.141 0.7447 1.241 4317.0

1000.0 182.5 2680.0 0. 0147 751.0 1248.0 8.272 0.7447 1.241 4551.0

1200.0 219.0 3220.0 0. 0122 900.0 1496.0 6.498 0.7447 1.241 4985.0

11.00.0 255.5 3750.0 0.0105 1049.0 1744.0 8.690 0.7447 1.241 5384.0

1600.0 291.9 4290.0 0.00918 1198.0 1992.0 8.855 0.7447 1.241 5756.0

1800.0 328.4 4830.0 0.00816 1347.0 2241.0 9.002 0.7447 1.241 6105.0

200C.O 364.9 5360.0 0.00735 1496.0 2489.0 9.132 0.7447 1.241 6435.0

2500.0 456.1 6700.0 0.00588 1868.0 3109.0 9.409 0.7447 1.241 7194.0

3000. 547.3 8040.0 0.00490 2240.0 3730.0 9.636 0.7447 1.241 7881.0

THO-PHASE BOUNDARY
14.696 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <i

TEMPERATURE DENSITY

OE&. R Ld/CU FT

p v T

BTU/L9 PSIA-CU FT/BTU PSIA

(OV/OTJ/V THERMAL

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R

4 9 .246 51..

1

5 9 057 18.3

6 8 .740 11.. 8

7 8 250 12.0

7 6C4 7 8J2 10.2

7 604 1 054 6.32

8 93J1 7. 14

9 .71.56 8.89

1G u a 6350 10.5

11 .0 .5575 11.9

12 1.990 13.4

13 1.527 14. 8 14 4150 16.1

15 a 3835 17.5

16 .3567 18.8

17 3336 20.2

18 a 3135 21.5

19 2957 22.8

20 2800 24.1

22 2531 26.7

24 2311 29.3

26 2127 31.8

28 1970 34.4

30 1836 36.9

32 a 1719 39.5

3". a 1616 42.0

36 1525 44.5

38 a l<t <»3 47.1

4G a 1370 49.6

45 a 1217 55.8

50 o o 1095 62.1

55 399<.7 68.4

60 a 09116 74.6

70 o 07812 87.1

80 06S36 100.0

90 a 06077 112.0

100 a OSi.69 124.0

120 o 01.559 149.0

140 a 03908 174.0

160 031.20 199.0

180 030 41 224.0

200 02737 249.0

250 a 32190 311.0

300 a 01825 373.0

350 01565 435.0

400 a 31369 497.0

45G 01217 559.0

500 31096 621.0

600 309132 745.0

700 007828 869.0

800 a 036853 993.0

90 006089 1120.0

1000 3351.83 1240.0

1200 33<.567 1490.0

1400 303915 1740.0

1600 0331.25 1990.0

1800 33301.5 2230.0

20CG 30271.0 2480.0

2500 332192 3100.0

30uG 3)1827 3720.0

2.24 1100.0 6.55 927.0 7.10 680.0

7.06 416.0 6.73 255.0 3.69 8.42

3.71 9.79

3.73 11.6 3.73 12.5

3.73 13.0

3.72 13.4 3.72 13.7 3.71 13.8

3.73 14.3 3.73 14.1 3.69 14.2 3.69 14.3 3.68 14.3 3.68 14.4

3.67 14.5 3.66 14.5 3.66 14.6 3.65 14.6 3.65 14.6 3.64 14.6 3.64 14.7 3.64 14.7 3.64 14.7 3.63 14.7 3.63 14.7 3.63 14.7 3.62 14.7 3.62 14.7 3.62 14.7

3.61 14.7

3.61 14.7

3.61 14.7 3.61 14.7 3.61 14.7 3.61 14.7 3.61 14.7

3.60 14.7

3.60 14.7 3.60 14.7 3.60 14.7

3.60 14.7

3.60 14.7

3.60 14.7

3.60 14.7

3.60 14.7 3.60 14.7

3.60 14.7 3.60 14.7

3.60 14.7

3.60 14.7

3.60 14.7 3.60 14.7

3.60 14.7

3.63 14.7

0124 3G88Q

0280 0102 0445 0109

0747 0113

117 0114

.370 a 00614

276 00611

183 00642

143 a 00684

119 00729

103 GC773

0917 00815

0827 00857

0755 00897

0695 a 00936

0645 a 00973

0602 0101 0565 0105 0533 0108

0478 0115 0434 a 0121

0398 0127 0367 0133

Q 341 G139

c 0319 0144 0299 0149

0282 0155

3266 0160 0253 3165

0224 0177 3231 0. G188

0182 0199

0167 021G 0143 0231

G 0125 0251

0111 0270

0130 0289 00832 0325

00713 0360 00624 0393 00555 0. 0425 00499 0. 0457 00400 0. 0532 00333 0. 0602 00285 0669

00250 0. 0733 0G222 0793

00200 0. 0851 00167 0962 00143 107 00125 0. 117 00111 128 00100 0. 137 0G0833 0. 156 000714 0. 174 000625 0. 191 000555 208 000500 0, 224 000400 0. 263

000333 299

SCOSITY THERMAL DIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

/FT-SEC SQ FT/HR

X 10E*6 2.58 0.00142 1.02047 0.709

2.63 0.00220 1.02035 0.475

2.53 0.00189 1. 02011 0.545 2.29 0.00153 1.01968 0.656

2.13 0.00122 1.01921 0.804 0.838 0.00249 1.00380 1.15 0.863 0.00334 1.00337 1.03 0.935 0.00529 1.00273 0.852

1.01 0.00722 1.00233 0.790

1.08 0.00918 1.00205 0.757 1.14 0.0112 1.00184 0.737

1.21 0.0133 1.00168 0.724

1.28 0. 0155 1.00154 0.715

1.34 0.0177 1.00142 0.709

1.40 0.0203 1.00133 0.705

1.46 0. 0224 1.00124 0.702 1.52 0.0249 1.00117 0.700

1.58 0.0274 1.00110 0.699

1.63 0.0300 1.00104 0.699

1.74 0.0355 1.00095 0.698 1.84 0.0412 1.00086 0.698 1.95 0.0471 1.00080 0.699 2.04 0.0534 1.00074 0.699

2.14 0.0599 1.00069 0.700 2.23 0.0666 1.00064 0.701 2.32 0.0736 1.00061 0.702

2.41 0.0808 1.00057 0.703 2.49 0.0883 1.00054 0.704 2.58 0.0960 1.00051 0-705 2.78 0.116 1.00046 0.707

2.97 0.138 1.00041 0.708

3.15 0.161 1.00037 0.709

3.33 0.185 1.00034 0.709

3.66 0.238 1.00029 0.709

3.97 0.295 1.00026 0.709

4.27 0.358 1.00023 0.707 4.56 0.425 1.00021 0.706

5.10 0.574 1.00017 0.702 5.61 0.741 1.00015 0.698 6.13 0.925 1.00013 0.694

6.57 1.13 1.00011 0.691 6.93 1.34 1.00010 0.675

7.98 1.96 1.00008 0.671 9.01 2.66 1.00007 0.669

10.0 3.44 1.00006 0.667

10.9 4.31 1.00005 0.666

11.8 5.25 1.00005 0.667

12.7 6.25 1.00004 0.668

14.4 8.49 1.00303 0.669

16.0 11.0 1.00003 0.668

17.6 13.8 1.30003 0.668

19.1 16.9 1.00002 0.668

20.5 20.2 1.30002 0.667

23.3 27.5 1.00002 0.667

26.0 35.8 1.00001 0.667 28.5 45.0 1.00001 0.666

31.0 55.0 1.00001 0.666 33.4 55.9 1.00001 0.666

39.2 96.6 1.00001 0.666

44.6 132.0 1.00001 0.666

TWO-PHASE 30UNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 16 P3IA ISOBAR

EMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

4.0 0.1080 120.0 13.6 1.400 1.720 C.4005 0-6538 0.6672 753.0

5.0 0.1102 103.0 25.9 1 .908 2.234 0.5164 0.4364 0.5096 748.1

6.0 J. 111.2 79.1 30.3 2.470 2.809 C.6212 0.4874 0.6559 702.2

7.0 0.1206 51.8 31.3 3.212 3.570 0.7382 0.5332 0.8905 633.2

7.769 0.1301 29.1 29.3 3.999 4.384 0.8483 0.5750 1.291 550.6 7.769 0.8673 7.53 3.42 10.37 12.94 1.949 0.8018 2.485 328.7

e.o 0.91.11 9.17 3.12 10.68 13.47 2.017 0.7904 2.183 342.5

9.0 1.2J2 14.6 2.38 11.79 15.35 2.239 0.7637 1.694 387.7

10.0 1.1.23 19.0 1.98 12.74 16.95 2.408 0.7526 1.529 422.4

11.0 1.629 22.8 1.72 13.61 18.44 2.549 0.7475 1.447 452.1

12.0 1.825 26.1. 1.53 14.45 19.86 2.673 0.7451 1.398 478.6

13.0 2.015 29.7 1.38 15.27 21.24 2.784 0.7440 1.367 503.0

14.0 2.201 33.0 1.26 16.07 22.60 2.884 0.7436 1.345 525.7

15.0 2.381. 36.2 1.16 16.87 23.93 2.976 0.7435 1.329 547.1

16.0 2.565 39.3 1.07 17.65 25.25 3.062 0.7435 1.316 567.4

17.0 2.71.5 42.3 1.00 18.43 26.57 3.141 0.7437 1.307 586.7

16.

Q

2.922 45.3 0.940 19.21 27.87 3.216 0.7439 1.299 605.3

19.0 3. J99 46.3 0.885 19.98 29.16 3.285 0.7440 1.293 623.2

20. 3.271. 51.2 0.837 20.75 30.45 3.352 0.7442 1.288 640.5

22. 3.623 57.0 0.755 22.28 33.02 3.474 0.7445 1.280 673.5

24-0 3.970 62.7 0.688 23.81 35.57 3.585 0.7448 1.274 704.8

26.0 4.315 68.4 0.632 25.32 38.11 3.687 0.7450 1.269 734.5

28.0 4.659 74.0 0.585 26.84 40.64 3.780 0.7451 1.265 763.0

3C.0 5.001 79.6 0.544 28.35 43.17 3.868 0.7452 1.262 790.3

32.0 5.31.3 85.2 0.509 29.86 45.69 3.949 0.7453 1.260 816.6

31.. 5.683 90.7 0.478 31.37 48.21 4.025 0.7454 1.257 842.0

36.0 6.023 96.2 0.451 32.87 50.72 4.097 0.7454 1.256 866.6

36.0 6.363 102.0 0.426 34.38 53.23 4.165 0.7454 1.254 890.5

40. 6.702 107.0 0.404 35.88 55.74 4.229 0.7454 1.253 913.7

1)5.0 7.51.8 121.0 0.359 39.63 62.00 4.377 0.7454 1.250 969.2

50.0 8.392 134.0 0.322 43.38 66.24 4.508 0.7454 1.249 1022.0

55.0 9.235 148.0 0.293 47.12 74.48 4.627 0.7453 1.247 1071.0

60.0 10.08 162.0 0.268 50.86 80.72 4.736 0.7453 1.246 1119.0

70.0 11.76 189.0 0.229 58.33 93.17 4.928 0.7452 1.245 1208.0

80.0 13. in 216.0 0.2O0 65.80 105.6 5.094 0.7452 1.244 1291.0

90.0 15.12 242.0 0.178 73.26 118.1 5.240 0.7451 1.243 1369.0

100.0 16.85 269.0 0.160 80.72 1-3 0.5 5.371 0.7451 1.243 1443.0

120.0 20.15 323.0 0.133 95.63 155.3 5.598 0.7450 1.242 1580.0 140.0 23.51 377.0 0.114 110.5 180.2 5.789 0.7450 1.242 1706.0 160.0 26.86 430.0 3.100 125.4 205.0 5.955 0.7449 1.242 1823.0

180.0 30.21 484.0 0.0889 140.3 229.8 6.101 0.7449 1.242 1933.0 200.0 33.56 538.0 0.0600 155.2 254.7 6.232 0.7449 1.242 2038.0

250.0 itl.9". 672.0 0.0640 192.5 316.7 6.509 0.7448 1.241 2277.0

300.0 50.32 806.0 0.0533 229.7 378.8 6.736 0.7448 1.241 2494.0

350.0 58.70 940.0 0.0457 267.0 440.9 6.927 0.7448 1.241 2694.0

400.0 67.08 1070.0 0.0400 304.2 502.9 7.093 0.7448 1.241 2879.0

".50.0 75.1.5 1210.0 0.0356 341.4 565.0 7.239 0.7448 1.241 3054.0 500.0 83.83 1340.0 0.0320 378.7 627.1 7.370 0.7448 1.241 3219.0

600.0 100.6 1610.0 0.0267 453.1 751.2 7.596 0.7448 1.241 3526.0

700.0 117.3 1880.0 0.0229 527.6 875.3 7.787 0.7448 1.241 3808.0

800. 13i>.

2150.0 0. 0200 602.1 999.0 7.953 0.7447 1.241 4071.0

900.0 150.9 2410.0 0.0178 676.6 1124.0 8.099 0.7447 1.241 4317.0

10C0.0 167.6 2680.0 0.0160 751.0 1248.0 8.230 0.7447 1.241 4551.0

1200.0 201.1 3220.0 0.0133 900.0 1496.0 8.456 0.7447 1.241 4985.0

lifOO.O 23i». 6 3750.0 0.0114 10 49.0 1744.0 8.648 0.7447 1.241 5364.0 1600.0 268.1 4290.0 0. 0100 1198.0 1992.0 8.813 0.7447 1.241 5755.0

1800.0 301.7 4830.0 0.00889 1347.0 2241.0 8.959 0.7447 1.241 6105.0 2000.0 335.2 5360. 0.00800 1496.0 2489.0 9.090 0.7447 1.241 6435.0

2500.0 1.19.0 6700.0 0.00640 1868.0 3109.0 9.367 0.7447 1.241 7194.0

0.00533 2240.0

TWO-PHASE 80UNDARY
16 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE OENSITY

OE&. R L3/CU FT

i/(DH/D\/> (/(DP/OU) -IMDP/Dl/I

p v T

BTU/Lfl PSIA-CU FT/BTU PSIA

<D\Z/OT>/\/ THERMAL

p CONDUCTIVITY

1/DEG. R BTU/FT-HR-R

4.0 9.258 54.4

5-0 9.071 18.4

6.0 8.757 15.0 7.0 8.275 12.2 7.769 7.686 9.83 7.769 1.153 6.30

e.o 1.063 6.82

9.0 0.8321 8.67

10.0 0.7025 10.3

11.0 0.6140 11.8

12.0 0.5480 13.2

13.0 0.4963 14.7

14.0 0.4543 16. 15.0 0.4194 17.4

16.0 0.3898 18.8

17.0 0.3644 20.1

1S.0 0.3422 21.4

19.0 0.3227 22.7

20.0 0.3054 24.0 22.0 0.2760 26.7

24.0 0.2519 29.2

26.0 0.2317 31.8

26.0 0.2147 34.4

30.0 0.2000 36.9

32.0 0.1872 39.5

34. 0.1760 42.0

36.0 0.1660 44.5

38.0 0.1572 47.0

40. 0.1492 49.6

45.0 0.1325 55.8

50.0 0.1192 62.1

55.0 0.1083 68.4

60.0 0.09923 74.6

70.0 0.08504 87.1 80.0 0.07441 100.0 90.0 0.06614 112.0

100.0 0.05954 124.0 120.0 0.04962 149.0

140.0 0.04254 174.0

160.0 0.03723 199.0 180.0 0.03310 224.0 200.0 0.02980 249.0

250. 0.02384 311.0

300.0 0.01987 373.0 350.0 0.01704 435.0 400.0 0.01491 497.0 450.0 0.01325 559.0 500.0 0.01193 621.0 600.0 0.009941 745.0

700.0 0.008522 869.0

800.0 0.007457 993.0

90 0.0 0.006629 1120.0

1000.0 0.005966 1240.0

1200.0 0. 004972 1490.0

1400.0 0.004262 1740.

Q

160 0.0 0.003729 1990.0 1B00.0 0.003315 2230.0

2000.0 0.002984 2480.0 2500.0 0.002387 3100.0

2.25 1110.0 6.55 939.0

7.11 693.0 7.09 429.0 6.62 224.0

3.70 8.68

3.71 9.74

3.74 12.2 3.75 13.3 3.74 14.0 3.74 14.4 3.73 14.8 3.72 15.0 3.71 15.2 3.70 15.3

3.70 15.4 3.69 15.5 3.69 15.6 3.68 15.6 3.67 15.7

3.67 15.8 3.66 15.8 3.66 15.9 3.65 15.9 3.65 15.9 3.64 16.0 3.64 16.0 3-64 16.0 3.64 16.0 3.63 16.0 3.63 16.0 3.62 16.0 3.62 16.0 3.62 16.0 3.62 16.0 3.61 16.0 3.61 16.0 3.61 16.0 3.61 16.0 3.61 16.0 3.61 16.0 3.61 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0

3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 3.60 16.0 0.001989 3720.0

0123 00881

0276 0102 0438 0109 0729 0114

131 0114

.394 00638

320 0G630

.195 00650

149 00690

123 00733

106 00776

0933 00819

0838 00860

0763 00900

0702 00938

0650 00976

60 6 0101 0569 0105

0536 0108

0480 0115

0436 0121

0399 0127 0368 0133

0342 0139

319 0144

0299 0150 0282 0155 0267 0160

25 3 0165 0224 0177

0201 0168

0182 0200 0167 0210 0143 0231

0125 0251

0111 0, 0270

0100 0289

00832 0325 00713 0360 00624 0393 00555 0425 C0499 0457

0O40O 0532 00333 0602

00285 0669

00250 0733 00222 0793

00200 0851 00167 0962 00143 0. 107 00125 117 00111 128

00100 0. 137 000833 0. 156 000714 174 000625 191 000555 208 000500 224 000400 0. 263

a 000333 299

SCOSITY THERMAL OIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

/FT-SEC SQ FT/HR

X 10E*6

2.60 0.00143 1.02048 0.708

2.65 0.C0221 1.02036 0.475 2.51 0.00190 1.02013 0.545

2.31 0.00154 1.01971 0.652

2.10 0.00115 1.01908 0.857

0.865 0.00223 1.00414 1.21 0.878 0.00271 1.00383 1.10 0.945 0.00461 1.00303 0.887

1.02 0.00642 1.00257 0.810 1.08 0.00825 1.00226 0.771

1.15 0.0101 1.00202 0.747

1.22 0.0121 1.00183 0.732

1.28 0.0141 1.00168 0.722 1.34 0.0161 1.00156 0.715

1.41 0.0183 1.00145 0.710 1.46 0.0205 1.00135 0.706

1.52 0.0228 1.00127 0.704 1.58 0.0251 1.00120 0.702 1.64 0.0275 1.00114 0.701 1.74 0.0325 1.00103 0.700 1.85 0.0377 1.00094 0.700 1.95 0.0432 1.00087 0.700 2.05 0.0490 1.00080 0.701 2.14 0.0550 1.00075 0.701 2.23 0.0612 1.00070 0.702

2.32 0.0676 1.OO066 0.703

2.41 0.0742 1.00062 0.704

2.49 0.0811 1.00059 0.705

2.58 0.0882 1.00056 0.706 2.78 0.107 1.00050 0.707 2.97 0.127 1.00045 0.708

3.15 0.148 1.00041 0.709

3.33 0.170 1.00037 0.710 3.66 0.218 1.00032 0.710 3.98 0.271 1.00028 0.709

4.28 0.329 1.00025 0.707

4.56 0.391 1.00022 0.706

5.10 0.528 1.00019 0.702

5.62 0.681 1.00016 0.696

6.10 0.850 1.00014 0.694

6.57 1.03 1.00012 0.691

6.90 1.23 1.00011 0.575 7.98 1.80 1.OO009 0.671 9.01 2.44 1.00008 0.669

10.0 3.16 1.00006 0.667

10.9 3.96 1.00006 0.666

11.8 4.82 1.00005 0.667

12.7 5.74 1.00005 0.668

14.4 7.80 1. 00004 0.669

16.0 10.1 1.00003 0.668

17.6 12.7 1.00003 0.668

19.1 15.5 1.00003 0.668

20.5 18.5 1.00002 0.667

23.3 25.3 1.00002 0.667

26.0 32.9 1.00002 0.667

28.5 41.3 1.00001 0.666

31.0 50.6 1. 00001 0.666 33.4 60.5 1.00001 0.666

39.2 88.7 1.00001 0.666

44.6 121.0 1.00001 0.666

TMO-PHASE 80UN0ARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 18 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

DEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

4.0 0.1078 122.0 13.6 1.398 1.757 0.3997 0.6484 0.6614 758.3

5.0 0.1100 105. u 26.0 1.901 2.267 0.5148 0.4357 0.5074 753.5

6.0 0.1139 81.0 30.5 2.459 2.838 0.6190 0.4869 0.6518 708.7

7.0 0.1203 53.9 31.5 3.190 3.591 0.7348 0.5322 0.8782 641.8

e.o 0.1331 24.4 28.5 4.252 4.695 0.8815 0.5886 1.467 530.3

6.0 0.7625 6.78 3.92 10-33 12.87 1.902 0.8040 2.759 328.3

a.o 0.1333 24.2 28.5 4.259 4-704 0.8826 0.5890 1.474 529.5

9.0 1.021. 13.2 2.82 11.59 15.00 2.154 0.7687 1.824 380.4 ICO 1.233 17.9 2.30 12.58 16.69 2.332 0.7548 1.592 417.6

11.0 1.1.21 21.9 1.98 13.49 18.22 2.479 0.7485 1.485 448.6

12.0 1.600 25.6 1.75 14.34 19.68 2.605 0.7455 1.425 476.0

13.0 1.772 29.1 1.57 15.17 21.08 2.717 0.7441 1.387 501.0

l<t.O 1.91.0 32.4 1.43 15.99 22.45 2.819 0.7436 1.360 524.1

15.0 2.105 35.6 1.32 16.79 23.80 2.912 0.7434 1.341 545.8

16.0 2.267 38.8 1.22 17.58 25.14 2.998 0.7434 1.327 566.4

17.0 2.1.28 41.9 1.14 18.37 26.46 3.079 0.7436 1.316 585.9

18.0 2.587 44.9 1.06 19.15 27.77 3.153 0.7438 1.307 604.7

19.0 2.71.5 47.9 1.00 19.92 29.07 3.224 0.7440 1.300 622.7 20.0 2.902 50.9 0.947 20.69 30.37 3.290 0.7442 1.294 640.2

22.0 3.214 56.7 0.853 22.23 32.94 3.413 0.7445 1.285 673.4

24.0 3.523 62.5 0.777 23.76 35.50 3.524 0.7448 1.278 704.8

26.0 3.831 68.2 0.714 25.28 38.05 3.626 0.7450 1.273 734.7

28.0 4.137 73.9 0.660 26.80 40.59 3.721 0.7452 1.268 763.2

30.0 4.443 79.5 0.614 28.31 43.12 3.808 0.7453 1.265 790.6

32.0 4.747 85.1 0.574 29.83 45.65 3.889 0.7454 1.262 816.9

34. 5.050 90.7 0.539 31.34 48.17 3.966 0.7454 1.260 842.4

36.0 5.353 96.2 3.508 32.84 50.69 4.038 0.7455 1.258 867.0 38.0 5.655 102.0 0.480 34.35 53.20 4.106 0.7455 1.256 890.9

40.0 5.957 107.0 0.456 35.85 55.71 4.170 0-7455 1.254 914.2

".5.0 6.710 121.0 0.404 39.61 61.97 4.318 0.7455 1.252 969.7 50.0 7.461 135.0 0.363 43.36 68.23 4.449 0.7455 1.250 1022.0

55.0 8.211 148.0 0.329 47.10 74.47 4.568 0.7454 1.248 1072.0

60.0 8.960 162.0 0.302 50.84 80.71 4.677 0.7454 1.247 1119.0

70.0 10.46 189-0 0-258 58.32 93.17 4.869 0.7453 1.245 1209.0

80.0 11.95 216.0 0.226 65.79 105.6 5.035 0.7452 1.244 1292.0

90.0 13.44 243.0 0.200 73.25 118.1 5.182 0.7452 1.244 1370.0 100.0 14.93 270.0 0.180 80.71 13-0.5 5.313 0.7451 1.243 1443.0

120.0 17.92 323.0 0.150 95.62 155.3 5.539 0.7450 1.242 1580.0

11.0.0 20.90 377.0 0.129 110.5 180.2 5.731 0.7450 1.242 1706.0

160.0 23.88 431.0 0.113 125.4 205.0 5.897 0.7449 1.242 1824.0

180.0 26.86 484.0 0. IOC 140-3 229.9 6.043 0.7449 1.242 1934.0

200.0 29.84 538.0 3. 0900 155.2 254.7 6.174 0.7449 1.242 2038.0

250.0 37.29 672.0 0. 0720 192.5 316.8 6.451 0.7449 1.241 2278.0

300.0 44.73 806.0 0.0600 229.7 37 8.8 6.677 0.7448 1.241 2495.0 350.0 52.18 940.

G

0.0514 267.0 440.9 6.868 0.7448 1.241 2694.0

1.00.0 59.63 1070.0 0.0450 304.2 503.0 7.034 0.7448 1.241 2880.0

1.50.0 67.08 1210.0 0.0400 341.4 565.0 7.180 0.7448 1.241 3054.0 500.0 74.52 1340.0 0.0360 378.7 627.1 7.311 0.7448 1.241 3219.0

600.0 89.42 1610.0 0.0300 453.2 751.2 7.537 0.7448 1.241 3526.0 700.0 104.3 1880.0 0.0257 527.6 875.3 7.729 0.7448 1.241 3808.0

800.0 119.2 2150.0 0.0225 602.1 999.0 7.895 0.7448 1.241 4071.0

900.0 134.1 2410.0 0.0200 676.6 1124.0 8.041 0.7447 1.241 4317.0

1000.0 149.0 2680.0 0.0180 751.0 1248.0 8.171 0.7447 1.241 4551.0

1200.0 178.8 3220.0 0.0150 900.0 1496.0 8.398 0.7447 1.241 4985.0

11.0 0.0 208.6 3760.0 0.0129 1049.0 1744.0 8.589 0.7447 1.241 5384.0

1600.0 238.4 4290.0 0.0112 1198.0 1992.0 8.755 0.7447 1.241 5756.0 1800.0 268.1 4830.0 0.0100 1347.0 2241.0 8.901 0.7447 1.241 6105.

C

2000.0 297.9 5360.0 0.00900 1496.0 2489.0 9.032 0.7447 1.241 6435.0 2500.0 372.4 6700.0 0.00720 1868.0 3109.0 9.309 0.7447 1.241 7194.0

3000.0 446-9 8040.0 0.00600 2240.0 3730.0 9.535 0.7447 1.241 7881.0

TWO-PHASE BOUNOARY
18 PSIft ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM It

TEMPERATURE DENSITY

DEG. R L3/CU FT BTU/L9 PSIA-CU FT/BTU PSIA

(0«/DT)/V THERMAL

p CONDUCTIVITY

1/DEG. R 9TU/FT-HR-R

1..0 9,,275 5i»,,9 5.0 9 .091 18,,7 6.0 8.,783 15. 2 7.0 8 ,313 12,,5 e.o 7,,511 9,,4 J 6.0 1,.311 6,,26 8.0 7,,5J5 9,,3a 9.0 a,,9761 8,,32 10.0 0,,9112 10.,0 11.0 .7035 11.,6

12.0 0,,6250 13,,0 13.0 ,561.3 lit,,5 14.0 0..5155 15.,9 15.0 ,1.751 17.,3 16.0 c..1.1.11 18,,6 17.0 0,.1.119 20,,0 18.0 , 3865 21.,3 19.0 .361.3 22.,6 21.0 0,.31.1.6 21.,,0 22.0 0..3112 26,,6

2it. 0,,2839 29,,2 26.0 0,.2610 31,,8 28.0 0.,21.17 3if, ,3 30.0 0.,2251 36,,9 32.0 .2107 39,,1. 31.. o.,1990 1.2.,0 36.0 0,,1969 1.1., ,5 38.0 ,1768 1.7,,0 1*0.0 0,,1679 1.9.,6

1.5.0 0,,11.90 55,,8 50.0 ,131.0 62,,1 55.0 0.,1218 68.,1. 60.0 0,,1116 7i(.,6 70.0 ,09561. 87,,1 80.0 0,,09368 100,,0 90. ,071.39 112.,0 10C.0 ,06696 121.,,c 120.0 0,,05581 1*9

.

,0 11.0.0 0..01.785 17*. 160.0 0,,01.188 199,,0 180. 0,, J3723 221.,,0 200.0 ,03351 21.9.,0 25C.0 0,,02682 311,,0 300.0 0.,02235 373,,0 350.0 0,,01916 1.35,,0 1.00.0 0,,01677 1.97,,0 1.50.0 ,011.91 559,,0 500.

u

,0131.2 621,,0 600.0 0.,01118 71.5.,0

7G0.0 .0J9587 869.,0 600.0 ,008389 993,,0 900.0 0..0071.57 1120.,0 10C0.0 0,,006712 121.0,,0 1200.0 0..0Q5593 11.90,,0 11.00. 0.,00i.795 171.0,.0 16G0.il 0,.001.195 1990,,0 1800. U ,003729 2230,,0 2000.0 0,,003356 21.80.,0 2500.0 .002685 3100.,0 3G00.Q .302238 3720.,0

2.26 1130.

u

6.55 957.0

7.12 711.0 7.13 1.1.9.0 6.1.6 193.0 3.72 8.89

6.1.5 181.0 3.76 12.9 3.76 14.5 3.76 15.1.

3.75 16.0

3.71. 16.1. 3.73 16.7

3.73 16.9

3.72 17.1 3.71 17.3 3.70 17.1. 3.70 17.5 3.69 17.5 3.69 17.7 3.69 17.7 3.67 17.8

3.66 17.9 3.66 17.9 3.65 17.9 3.65 18.0 3.65 18.0

3.61. 18.0

3.61. 18.0

3.61. 18.0 3.63 18.0 3.63 18.0 3.62 18.0 3.62 18.1 3.62 18.1 3.62 18.1 3.61 18.0 3.61 18.0 3.61 18.0

3.61 18.0 3.61 18.0 3.61 18.0 3.60 18.0 3.60 18.0 3.60 18.0 3.60 18.0 3.60 18.0 3.60 18.0 3.60 18.0

3.60 18.0 3.60 18.0 3.60 18.0

3.60 18.0 3.60 18.0 3.60 18. 3.60 18.0 3.60 18.0 3.60 18.0

3.60 18.0

0,,0120 0,,00883

0,,0271 0,,0102

0,,01.2 8 0,,0109

,0701. ,0111.

0,.156 0,,0111.

.1.1.1 0,,00677

0,,157 0,,0111.

0.,219 0,,00661.

0,,159 0,,00699

0,,129 0,.0071.0

0,,109 0,,00782

.0958 0,,00821.

0,,0857 0,,00861. .0777 ,00901.

0,,0712 0,,0091.2

0,.0659 0,.00979

,0613 0,,0102

.0 571. 0,,0105

0,,051.0 0,,0109

.01.81. 0,,0115

,01.38 0,,0121

0..01.01 0,,0127

,0370 0,,0133

0,,031.3 0,,0139

0,.0320 0,,011.1.

0,,0300 0,,0150

0,.0283 0,,0155

0,,0267 0.,0160

0,,0253 0..0165

0,,0221. 0,,0177

0,,0201 0,,0189

0,.0183 0.,0200

0,,0167 0,,0211

0,,011.3 0,,0231 .0125 0.,0251

0,,0111 0,,0271

0,,0100 0,,0289 .00832 0,,0325

0..00713 0.,0360

0,,00621. 0,,0393

0,.00555 0,,01.25

o..00*99 0,.01.57

0,.00399 0,,0532

0,,00333 0,,0602

0,.00295 0.,0669

0,,00250 0,,0733

0,,00222 0,,0793

0,,00200 0,,0851

0,,00167 0,,0962

a,,0011.3 0.,107

0,,00125 0,,118

0,,00111 0,,128

0,,00100 0,,137

0,,000833 0,,156

0,.000711. a. 171.

a ,000625 0,,191

0,,000555 0,,208

0,,000500 0.,221.

0,,0001.00 0,,263

0,,000333 0.,299

SCOSITY THERMAL DIELECTRIC PRANOTL OIFFUSIVITY CONSTANT NUMBER

l/FT-SEC SQ FT/HR

X 10E + 6 2.62 0.0011.1. 1.0201.9 0.706

2.67 0.00222 1.02037 0.1.76

2.51. 0.00191 1.02015 0.51.1. 2.33 0.00156 1.01971. 0.61.6 2.05 0.00103 1.01887 0.951 0.907 0.00187 1. 001.67 1.33

2.05 0.0C1O3 1.01887 0.955

0.963 0.00373 1.00353 0.952 1.03 0.0051.1 1.00296 0.81.5 1.10 0.C0708 1.00258 0.793 1.16 0.00878 1.00230 0.763 1.23 0.0105 1.00208 0.71.1. 1.29 0.0123 1.00190 0.731 1.35 D.Oli.2 1.00176 0.723

1.1.1 0.0161 1.00163 0.717 1.47 0.0181 1.00153 0.712 1.53 0.0201 1.0011.1. 0.709 1.59 0.0222 1.00135 0.707

1.61. 0.021.3 1.00128 0.705

1.75 0.0289 1.00116 0.703

1.85 0.0335 1.00106 0.702 1.95 0.0381. 1.00097 0.702 2.05 0.01.35 1.00090 0.703

2.15 0.01.88 1.00081. 0.703

2.21. 0.051.3 1.00079 0.701. 2.33 0.0601 1.00071. 0.70*

2.1.1 0.0660 1.00070 0.705

2.50 0.0721 1.00066 0.706

2.58 0.0781. 1.00063 0.706

2.78 0.091.9 1.00056 0.708 2.97 0.113 1.00050 0.709

3.15 0.131 1.0001.6 0.709

3.33 0.151 1.0001.2 0.710 3.66 0.191. 1.00036 0.710 3.98 0.21.1 1.00031 0.709 4.28 0.293 1.00028 0.708 4.56 0.31.8 1.00025 0.706

5.11 0.1.69 1.00021 0.702 5.62 0.606 1.00018 0.698 6.10 0.756 1.00016 0.691. 6.57 0.920 l.OOOli. 0.691

6.90 1.10 1.00013 0.675 7.99 1.60 1.00010 0.671 9.01 2.17 1.00008 0.669

10.0 2.81 1.00007 0.667

10.9 3.52 1.00006 0.666

11.8 4.29 1.00006 0.667

12.7 5.11 1.00005 0.668

11.. l. 6.93 1.00001. 0.669

16.0 9.00 l.ooooi. 0.668

17.6 11.3 1. 00003 0.668

19.1 13.8 1.00003 0.668 20.5 16.5 1.00003 0.667

23.3 22.5 1.00002 0.667

26.0 29.3 1.00002 0.667 28.5 36.7 1.00002 0.666

31.0 1.1..

9

1.00001 0.666

33.1. 53.8 1. 00001 0.666

39.2 78.8 1.00001 0.666

1.1.. 6 108.0 1.00001 0.666

TWO-PHASE BOUNOARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 2d PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

DEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

4.0 0.1076 123.0 13.6 1.396 1.791. 0.3990 0.61.31 0.6558 763.5

5.0 0.1098 107.0 26.0 1.891. 2.301 0.5133 0.1.350 0.5053 758.9

6.0 0.1135 82.9 30.6 2.1.1.7 2.867 0.6169 0.1.861. 0.6479 715.0

7.0 0.1198 55.9 31.8 3.169 3.612 0.7315 0.5313 0.8668 650.2

8.0 0.1318 26.8 29-1 1.-200 I.. 689 0.871.6 0.5862 1.397 544.1

• 8.224 J. 1367 19.7 27.6 4.523 5.030 0.9166 0.6032 1.706 508.0

* 8.221. 0.6751 5.99 If. 1.6 10.26 12.76 1.856 0.8059 3.115 327.5

9.0 0.8789 11.6 3.32 11.36 11.. 61 2.072 0.771.3 2.000 372.5

10.0 1.079 16.7 2.65 12.1.2 16.1.1 2.262 0.7572 1.665 412.6

11.0 1.255 21.0 2.26 13.36 18.00 2.1.14 0.71.96 1.528 445.1

12.0 1.1.20 24.8 1.98 11.. 23 19.1.9 2.51.3 0.71.60 1.453 473.4

13.0 1.578 28.1. 1.77 15.08 20.92 2.657 0.7443 1.407 498.9

14.0 1.731 31.8 1.61 15.90 22.31 2.760 0.71.36 1.376 522.5

15.0 1.881 35.1 1.1.8 16.71 23.67 2.855 0.7433 1.354 544.5

16.0 2.029 38.3 1.37 17.51 25.02 2.91.1 0.7431. 1.338 565.3

17. 2.175 1.1.5 1.27 18.30 26.35 3.022 0.7435 1.325 585.1 18.0 2.319 1.1..

6

1.19 19.08 27.67 3.098 0.7437 1.315 604.1

19.0 2.1.62 1.7.6 1.12 19.86 28.96 3.168 0.7439 1.307 622.3

20.0 2.601. 50.6 1.06 20.61. 30.28 3.235 0.7441 1.300 639.8

22.0 2.886 56.5 0.953 22.18 32.86 3.358 0.7445 1.290 673.2

24.0 3.166 62.3 0.867 23.71 35.1.3 3.1.70 0.7448 1.282 704.8

26.0 3.1.1.1. 68.0 0.796 25.21. 37.99 3.572 0.7451 1.276 734.8

28.0 3.720 73.7 0.735 26.76 1.0.51. 3.667 0.7452 1-271 763.4

30.0 3.996 79.1. 0.681. 28.28 1.3.07 3.751. 0.7454 1.267 790.8

32.0 4.270 85.0 0.639 29.79 1.5.61 3.836 0.7455 1.264 817.2

31.. 4.544 90.6 0.600 31.30 1.8.13 3.913 0.7455 1.262 842.7 36.0 4.817 96.2 0.565 32.81 50.65 3.985 0.7455 1-259 867.4

38.0 5.089 102.0 0.531. 31.. 32 53.17 I.. 053 0.7456 1.257 891.4

".0.0 5.361 107.0 0.507 35.83 55.68 4.117 0.7456 1.256 914.6

45. a 6.01.0 121.0 0.1.1.9 39.58 61.95 4.265 0.7456 1.253 97 0.2 50.0 6.717 135.0 0.1.03 1.3.31. 68.21 i». 397 0.7455 1.250 1023.0

55.0 7.392 11.8.0 0.366 1.7.08 71.. 1.6 4.516 0.7455 1.249 1072.0

60.0 8.066 162.0 0.335 50.83 80.70 4.624 0.7454 1.248 1120.0

70.0 9.1.13 189.0 0.287 58.30 93.17 4.817 0.7454 1.246 1209.0

80. 10.76 216-0 0.251 65.77 105.6 4.983 0.7453 1.245 1292.0

90.0 12.10 21.3.0 0.223 73.21. 118.1 5.129 0.7452 1.244 1370.0

100.0 13.1.5 270.0 0. 200 80.70 130-.5 5.260 0.7452 1.243 1444.0

120.0 16.13 323.0 0.167 95.62 155.1. 5.1.87 0.7451 1.243 1581-0

11.0.0 18.81 377.0 0.11.3 110.5 180.2 5.679 0.7450 1.242 1707.0

160.0 21.50 1.31.0 0.125 125.1. 205.0 5.81.1. 0.7450 1.242 1824.0

180.0 21.. 18 1.85.0 0.111 11.0.3 229.9 5.991 0.7449 1.242 1934.0

200.0 26.86 538.0 0.100 155.2 251..

6.121 0.7449 1.242 2038.0 250.0 33.56 672.0 0.0800 192.5 316.8 6.398 0.7449 1.241 2278.0

300.0 1.0.27 806.0 0.0667 229.7 37 8.8 6.625 0.7448 1.241 2495.0 35G.0 1.6.97 91.0.0 0.0571 267.0 1.1.0.9 6.816 0.7448 1.241 2694.0

1.00.0 53.67 1070.0 0.0500 301.-2 503.0 6.982 0.7448 1.241 2880.0

1.50.0 60.37 1210.0 0.01.1.1. 31.1.1. 565.0 7.128 0.7448 1.241 3054.0 500.0 67.08 131.0.0 0.01.00 378.7 627.1 7.259 0.7448 1.241 3219.0

600.0 80.1.8 1610.0 0.0333 1.53.2 751.2 7.1.85 0.7448 1.241 3526.0

700.0 93.89 1880.0 0.0286 527.6 875.3 7.676 0.7448 1.241 3808.0

800.0 107.3 2150.0 0.0250 602.1 999.0 7.81.2 0.7448 1.241 4071.0 900.0 120.7 21.10.0 0.0222 676.6 1121.. o 7.988 0.7448 1.241 4318.0

1000.0 131*.

268C.0 0.0200 751.0 121.8.0 8.119 0.7447 1.241 4551.0 1200.0 160.9 3220.0 0.0167 900.0 11.96.0 8.31.5 0-7447 1.241 4985.0

11.00.0 187.7 3760-0 0. 011.3 101.9.0 171.1.. 8.537 0.7447 1.241 5384.0 1600.0 211..

5

.290.0 0.0125 1198.0 1992.0 8.703 0.7447 1.241 5756.0

1800.0 21.1.3 1.830.0 0.0111 131.7.0 221.1. 8.81.9 0.7447 1.241 6105.0

2000.0 268.1 5360.0 0.0100 11.96.0 21.89.0 8.979 0.7447 1.241 6435.0

2500.0 335.2 6700-0 0.00800 1868.0 3109.0 9.256 0.7447 1.241 7194.0

3000.0 1.02.2 801.0.0 0.00667 221.0.0 373 0.0 9.1.83 0.7447 1.241 7881.0

THO-PHASE BOUNDARY
20 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

EMPERATURE DENSITY VCDH/DV)

P V<OP/OU> - V V<OP/DV>

OEG. R LB/CU FT BTU/LB PSIA-CU FT/BTL PSIA

<f. a 9.292 55.5 2.27 1150.0

5.0 9.111 19.0 6.55 975.0

6.0 8.803 15.5 7.13 730.0

7.0 8.350 12.7 7.16 467.0

8.0 7.58* 9.78 6.54 203.0

8.221* 7.315 8.90 6.26 144.0 8.224 1.481 6.19 3.74 8.87

9.0 1.138 7.94 3.77 13.2 10.0 0.9269 9.72 3.78 15.5 11.0 0.7968 11.3 3.78 16.7 12.0 0.7044 12.8 3.77 17.5

13.0 0.6339 14.3 3.76 18.0 14.0 0.5777 15.7 3.75 18.4

15.0 0.5316 17.1 3.74 18.7

16.0 0.4929 18.5 3.73 18.9

17.0 0.4599 19.9 3.72 19.1 18.0 0.4312 21.2 3.71 19.2

19.0 0.4062 22.5 3.71 19.3

2G.0 0.3840 23.9 3.70 19.4 22.0 0.3465 26.5 3.69 19.6 24.0 0.3159 29.1 3.68 19.7 26.0 0.2904 31.7 3.68 19.8 28.0 0.2688 34.3 3.67 19.8 30.0 0.2503 36.8 3.66 19.9

32.0 0.2342 39.4 3.66 19.9

34.0 0.2201 41.9 3.66 19.9 36.0 0.2076 44.5 3.65 20.0 38.0 0.1965 47.0 3.65 20.0 40.0 0.1865 49.5 3.65 20.0 45.0 0.1656 55.8 3.64 20.0 50.0 0.1489 62.1 3.63 20.0 55.0 0.1353 68.4 3.63 20.1 60.0 0.1240 74.6 3.63 20.1 70.0 0.1062 87.1 3.62 20.1 80.0 0.09295 100.0 3.62 20.1 90.0 0.08263 112.0 3.62 20.1

100. 0.07437 124.0 3.61 20.1 120.0 0.06200 149.0 3.61 20.1 140.0 0.05315 174.0 3.61 20.0 160.0 0.04652 199.0 3.61 20.0 180.0 0.04136 224.0 3.61 20.0 200.0 0.03723 249.0 3.61 20.0 250.0 0.02979 311.0 3.60 20.0 300.0 0.02483 373.0 3.60 20.0 350.0 0.02129 435.0 3.60 20.0 400.0 0.01863 497.0 3.60 20.0 450.0 0.01656 559.0 3.60 20.0 500.0 0.01491 621.0 3.60 20.0 600.0 0.01243 745.0 3.60 20.0 700.0 0.01065 869.0 3.60 20.0 800.0 0.009321 993.0 3.60 20.0 900.0 0.008285 1120.0 3.60 20.0 1000.0 0.007457 1240.0 3.60 20.0 1200.0 0.006215 1490.0 3.60 20.0 1400.0 0.005327 1740.0 3.60 20.0 1600.0 0.004661 1990.0 3.60 20.0 1800.0 0.004144 2230.0 3.60 20.0 2000.0 0.003729 2480.0 3.60 20.0 2500.0 0.002984 3100.0 3.60 20.0 3000.0 0.002486 3720.0 3.60 20.0

(DV/OT1/V THERMAL VISCOSITY

p CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

0118 00885

0266 0103 0419 0110 0680 0115

143 0115

192 0115

503 00720

252 .00682

171 .00709

.135 00747

113 00788

0984 00829

0876 00869

0791 00908

0723 .00946 0667 00983

0620 0102

0580 0105 0545 0109

0487 0115

0441 0122

0403 0128

371 0134

0344 0139

0321 0145

301 a 0150 0283 0155

0267 0160

25 3 0165 0224 0177 0201 0189

0183 0200 0167 0211 0143 0232 0125 0251

0111 0271

0100 0289

00832 0325 00713 0360 00624 0393 00555 0426 00499 0457 00399 0532 00333 0602 00285 0669

00250 0733

00222 0793

00200 0. 0851

00167 0962 00143 0. 107 00125 118

0. 00111 0. 128 0010C 137 000833 156 000714 0, 174 000625 191 000555 208 000500 0. 224

0. 000400 0. 263 000333 299

64

6956

35

08

oa948 983

0411

1.17 1.24

1.30 1.36

1.42

1.48 1.54

1.59

1.65

1.76 1.86

1.96 2.06

2.15 2.24

2.33

2.42 2.50 2.58

2.78

2.97 3.16

3.33

66

6

7

9

101011.8

12.7 14.4

16.0 17.6

19.1

20.5 23.3

26.0 28.5

31.0 33.4

39.2 44.6

THERMAL DIELECTRIC PRANOTL

IIFFUSIVITY CONSTANT NUMBER

SO. FT/HR

0.00145 1.02050 0.704 0.00223 1.02038 0.476 0.00192 1.02017 0.543 0.00158 1.01978 0.641 0.00108 1.01896 0.911 0.000924 1.01863 1.06 0.00156 1.00523 1.48 0.00300 1.00408 1.04 0.00459 1.00336 0.384 0.00614 1.00291 0.817 0.00770 1.00258 0.730 0.00929 1.00233 0.757 0.0109 1.00213 0.742 0.0126 1.00196 0.731 0.0143 1.00182 0.723 O.0161 1.00170 0.718

0.0180 1.00160 0.714 0.0199 1.00151 0.711 0.0218 1.00143 0.709

0.0258 1.00129 0.707

0.0300 1.00118 0.705 0.0345 1.00108 0.705 0.0391 1.00100 0.705

0.0439 1.00094 0.705 0.0489 1.00088 0.705

0.0540 1.00082 0.706 0.0594 1.00078 0.706

0.0649 1.00074 0.707 0.0705 1.00070 0.707

0.0855 1.00062 0.708

0.101 1.00056 0.709

0.118 1.00051 0.710 0.136 1. 00047 0.710 0.175 1.00040 0.710 0.217 1.00035 0.709

0.263 1.00031 0.708

0.313 1.00028 0.706

0.422 1.00023 0.702

0.545 1.00020 0.698

0.681 1.00018 0.694 0.829 1.00016 0.691 0.988 1.00014 0.675 1.44 1.00011 0.671

1.95 1.00009 0.669

2.53 1.00008 0.667

3.17 1.00007 0.666 3.86 1.0O006 0.666

4.60 1.00006 0.668 6.24 1.00005 0.669

8.10 1.00004 0.668

10.2 1.00004 0.668

12.4 1.00003 0.668

14.8 1.00003 0.667

20.2 1.00002 0.667

26.3 1.00002 0.667

33.1 1.00002 0.666

40.4 1.00002 0.666

48.4 1.00001 0.666

71.0 1. 00001 0.666

97.0 1.00001 0.666

• TWO-PHASE BOUNDARY
22 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/P BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

4.0 0.1074 125.0 13.5 1.393 1.831 0.3982 0.6378 0.6503 768.6

5.0 0.1095 109.0 26.0 1.888 2.334 0.5119 0.4344 0.5033 764.1

6.0 0.1132 84.7 30.7 2.436 2.897 0.6148 0.4859 0.6441 721.2

7.0 0.1193 57.9 32. 3.149 3.635 0.7284 0.5304 0.8563 658.3

e.o 0.1307 29.2 29.5 4.154 4.686 C.8682 0.5841 1.340 557.0

» 8.429 0.1406 15.6 26.6 4.795 5.367 0.9510 0.6178 2.015 486.3

8.1.29 0-6002 5.15 5.06 10.17 12.61 1.810 0.8075 3.602 326.3

9.0 0.7552 9.88 3.92 11.09 14.17 1.989 0.7808 2.255 363.6

10.0 0.9515 15.5 3.03 12.24 16.12 2.195 0.7599 1.753 407.4

11.0 1.118 20.0 2.55 13.22 17.77 2.353 0.7508 1.575 441.4

12. 1.272 24.1 2.22 14.12 19.33 2.486 0.7465 1.484 470.7

13.0 1.418 27.8 1.98 14.98 20.75 2.602 0.7445 1.429 496.9

14.0 1.560 31.3 1.79 15.81 22.16 2.707 0.7436 1.393 520.9

15.0 1.698 34.6 1.64 16.63 23.54 2.802 0.7433 1.368 543.3

16.0 1.834 37.9 1.52 17.43 24.90 2.889 0.7433 1.349 564.3

17.0 1.967 41.1 1.41 18.23 26.24 2.971 0.7434 1.334 584.3

18.0 2.100 44.2 1.32 19.02 27.57 3.047 0.7436 1.323 603.4

19.0 2.230 47.3 1.24 19.80 28.89 3.118 0.7438 1.314 621.8

20.0 2.360 50.3 1.17 20.58 30.19 3.185 0.7440 1.306 639.5 22.0 2.618 56.2 1.05 22.12 32.79 3.309 0.7444 1.295 673.1

24.0 2.873 62.1 0.957 23.66 35.37 3.421 0.7448 1.286 704.8

26.0 3.127 67.9 0. 878 25.19 37.93 3.523 0.7451 1.280 734.9

28.0 3.379 73.6 0.811 26.72 40.48 3.618 0.7453 1.275 763.6 30.0 3.630 79.3 0.754 28.24 43.03 3.706 0.7454 1.270 791.1

32.0 3.880 84.9 0.704 29.76 45.56 3.788 0.7455 1.267 817.6

34.0 4.130 90.5 0.661 31.27 48.09 3.864 0.7456 1.264 843.1

36.0 4.378 96.1 0.623 32.78 50.62 3.936 0.7456 1.261 867.9

38.0 4.626 102.0 0.589 34.29 53.14 4.005 0.7457 1.259 891.8

1.0.0 4.874 107.0 0.558 35.80 55.65 4.069 0.7457 1.257 915.1

".5.0 5.492 121.0 0.495 39.56 61.93 4.217 0.7457 1.254 970.8 50.0 6.107 135.0 0.444 43.32 68.20 4.349 0.7456 1.251 1023.0

55.0 6.722 146.0 0.403 47.06 74.45 4.468 0.7456 1.250 1073.0 60.0 7.335 162.0 0.369 50.81 80.69 4.577 0.7455 1.248 1120.0

70.0 8.560 189.0 0.316 58.29 93.16 4.769 0.7454 1.246 1210.0

80.0 9.783 216.0 0.276 65.76 105.6 4.935 0.7453 1.245 1293.0

90.0 11.01 243.0 0.245 73. 23~ 118.1 5.082 0.7453 1.244 1371.0

10G.0 12.23 270.0 0.220 80.69 130.5 5.213 0.7452 1.244 1444.0

120.0 14.67 324.0 0.184 95.61 155.4 5.440 0.7451 1.243 1581.0

140.0 17.11 377.0 0.157 110.5 180.2 5.631 0.7450 1.242 1707.0

160.0 19.55 431.0 0.138 125.4 205.1 5.797 0.7450 1.242 1824.0

180.0 21.98 485.0 0.122 140.3 229.9 5.943 0.7450 1.242 1935.0 200.0 24.42 538.0 0.110 155.2 254.7 6.074 0.7449 1.242 2039.0 250.0 30.52 672.0 0. 0880 192.5 316.6 6.351 0.7449 1.241 2278.0

300.0 36.61 807.0 0.0733 229.7 378.9 6.577 0.7449 1.241 2495.0

350.0 42.70 941.0 0.0629 267.0 440.9 6.769 0.7448 1.241 2695.0

1.00.0 46.80 1070.0 0.0550 304.2 503.0 6.935 0.7448 1.241 2880.0

".50.0 54.89 1210.0 0.0489 341.4 565.1 7.081 0.7448 1.241 3055.0 500.0 60.98 1340.0 0. G440 378.7 627.1 7.212 0.7448 1.241 3219.0

600.0 73.17 1610.0 0.0367 453.2 751.2 7.438 0.7448 1.241 3526.0

700.0 85.35 1880.0 0.0314 527.6 875.3 7.629 0.7448 1.241 3808.0 8C0.0 97.54 2150.0 0.0275 602.1 999.0 7.795 0.7448 1.241 4071.0

900. 109.7 2410.0 0. 0244 676.6 1124.0 7.941 0.7448 1.241 4318.0

10C0.0 121.9 2680.0 0.0220 751.0 1248.0 8.072 0.7448 1.241 4551.0

1200.0 146.3 3220.0 0.0183 900.0 1496.0 8.298 0.7447 1.241 4985.0

1400.0 170.7 3760.0 0. 0157 1049-0 1744. 8.489 0. 7447 1.241 5384.0

1600.0 195.0 4290.0 0.0137 1198.0 1992.0 6.655 0.7447 1.241 5756.0

1800.0 219.4 4830.0 0.0122 1347.0 2241.0 8.801 0.7447 1.241 6105.0

2000.0 243.8 5360.0 0. 0110 1496.0 2489.0 8.932 0.7447 1.241 6435.0

2500.0 304.7 6700.0 0.00880 1868.0 3109.0 9.209 0.7447 1.241 7194.0 3000.0 365.6 8040.0 0.00733 2240.0 3730.3 9.435 0.7447 1.241 7881.0

THO-PHASE BOUNDARY
22 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <t

TEMPERATURE OENSITY

0E6. R LB/CU FT

/(DH/OV) V10P/OU) -V<DP/OV>„

p v 1 BTU/LB PSIA-CU FT/BTU PSIA

It 9 308 56.0

s 9 130 19.2

6 8 833 15.7

7 8 385 13. G 8 7 652 10.1

8 429 7 114 8.42

a 429 1 666 6.11

9 1 324 7.54

10 1 051 9.43

11 8943 11.1

12 7862 12.6

13 7051 14.1

lit 6411 15.6

15 5890 17.0

16 5454 18.4

17 5083 19.7

ie 4763 21.1

19 4484 22.4

20 4237 23.8

22 3820 26.4

2<t 3480 29.0

26 3198 31.6

28 2959 34.2

30, 2755 36.6

32 G 2577 39.4

34 2422 41.9

36 G 2284 44.5

38. 2162 47.0

40. 2052 49.5

45 1821 55.8

50 1637 62.1

55 1488 68.4

60 a 1363 74.7

70 1168 87.2

eo 1022 100.0

90 09086 112.0

100 08179 125. 120 06818 149.0

140 a 05845 174.0

160 05116 199.0

180 o a 04549 224.0

200 a 04095 249.0

250 a 03277 311.0

3GC a 02731 373.0

35C 02342 435.0

<t00 02049 497.0

450 01822 559.0

500 D 01640 621.0

600 01367 745.0

700 01172 869.0

8C0 01025 993.0

900 a 009114 1120.0

1000 008203 1240.0

1200 006836 1490.0

l<tC0 a 005860 1740.0

1600 005127 1990.

180G 004558 2230.0

2000 004102 2480.0

2500 003282 3100.0

30b0 002735 3720.0

2.28 6.55

7.15

7.20 6.61

6.06

3.76 3.79

3.80 3.79

3.72 3.71

3.70 3.69

3.69 3.68

3.67

3.64

3.64

3.61

3.61 3.61

3.61

3.60

3.60 3.60

3.60

3.60 3.60

3.60

3.60

3.60

3.60 3.60

3.60

3.60

3.60

3.60 3.60

3.60

993.

748.

4 86, 223.

111.8.58

13.1 16.3

17.9

21.6

21.7

21.8

21.8 21.9

21.9

22.0

22.0 22.0 22.0

22.0 22.1

22.1

22.1

22-1 22.1

22.1 22.1

22.1

22.1

22.0

22.0

22.0

22.0

22.0 22.0

22.3

22.0

22.0

22

2222

2222

22

2222.0

22.0 22.0

22.0

<DV/DT)/V THERMAL VISCOSITY THERMAL DIELECTRIC PRANDTL

p CONDUCTIVITY IFFUSIVITY CONSTANT NUMBER

1/OEG. R BTU/FT-H3-R LB/FT-SEC

X 10E+6

SQ FT/HR

0.0116 0.00887 2.66 0.00146 1.02051 0.702 0.0262 0.0103 2.71 0.00224 1.02040 0.476

0.0410 0.0110 2.58 0.00194 1.02019 0.542

0.0659 0.0115 2.37 0.00160 1.01981 0.636

0.132 0.0116 2.11 0.00113 1.01904 0.878

0.239 0.0116 1.95 0.003812 1.01836 1.21

0.590 0.00773 0.990 0.00129 1.00583 1.66

0.299 0.00707 1.01 0.00237 1.00471 1.16 0.186 0.00720 1.06 0.00391 1.00379 0.930 0.142 0.00755 1.12 0.00536 1.00325 0.844

0.117 0.00794 1.19 0.00680 1.00287 0.798

0.101 0.00834 1.25 0.00828 1.00258 0.770 0.0895 0.00874 1.31 0.00978 1.00235 0.752 0.0836 0.00912 1.37 0.0113 1.00217 0.740 0.0734 0.00950 1.43 0.0129 1.00201 0.731 0.0676 0.00987 1.49 0.0146 1.00188 0.724 0.0627 0.0102 1.54 0.0162 1.00176 0.719 0.0585 0.0106 1.63 0.0180 1.00166 0.716

0.0550 0.0109 1.66 0.0197 1.00157 0.713

0.0 49 0.0116 1.76 0.0234 1.00142 0.710 0.0443 0.0122 1.86 0.0272 1.00129 0.708

0.0405 0.0128 1.96 0.0313 1.00119 0.707 0.0372 0.0134 2.06 0.0355 1.00110 0.706 0.0345 0.0139 2.15 0.0399 1.00103 0.706

0.0322 0.0145 2.25 0.0444 1.00096 0.706 0.0301 O.015O 2.33 0.0491 1.00091 0.707 0.0284 0.0155 2.42 0.0540 1.00085 0.707 0.0268 0.0160 2.51 0.0590 1.00081 0.708 0.C254 0.0165 2.59 0.0641 1.00077 0.708 0.0225 0.0177 2.79 0.0777 1.00068 0.709 0.0201 0.0189 2.98 0.0922 1.00061 0.710 0.0183 0.020G 3.16 0.108 1.00056 0.710 0.0167 0.0211 3.33 0.124 1.00051 0.710 0.0143 0.0232 3.67 0.159 1.00044 0.710 0.0125 0.0252 3.98 0.198 1.00038 0.709

0.0111 0.0271 4.28 0.240 1.00034 0.708

0.0100 0.0290 4.57 0.285 1.00031 0.706 0.00832 0.0326 5.11 0.384 1.00026 0.702 0.00713 0.0360 5.62 0.496 1.00022 0.698 0.00624 0.0393 6.11 0.619 1.00019 0.694 0.30555 0.0426 6.57 0.754 1.00017 0.691 0.00499 0.0457 6.90 0.899 1.00015 0.675 0.00399 0.0532 7.99 1.31 1.00012 0.671 0.00333 0.0602 9.01 1.78 1.30010 0.669 0.00285 0.0669 10.0 2.30 1.00009 0.667 0.00250 0.0733 10.9 2.88 1.00008 0.666 0.00222 G.0793 11.8 3.51 1.00007 0.666

0.0020C 0.0851 12.7 4.18 1.00006 0.668 0.00167 0.0962 14.4 5.67 1.00005 0.669

0.00143 0.107 16.0 7.36 1.00004 0.668 0.00125 0.118 17.6 9.23 1.00004 0.668 0.00111 0.128 19.1 11.3 1.00003 0.667

o.ooiao 0.137 20.5 13.5 1.00003 0.667 0.000833 0.156 23.3 18.4 1.00003 0.667 0.0DG714 0.174 26.0 23.9 1.00002 0.667

0. 000625 0.191 28.5 30.1 1. 00002 0.666 0.000555 0.208 31.0 36.8 1.00002 0.666 0.000500 0.224 33.4 44.0 1.00002 0.666 0.000400 G.263 39.2 64.5 1.00001 0.666 0.000333 0.299 44.6 88.1 1.00001 0.666

» TWO-PHASE 80UNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 24 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

DEG. R CU FT/LB CU FT-PSIA/L3 PSIA/R BTU/LB BTU/LB 8TU/LB-R BTU / LB -R FT/SEC

<t.

a

0.1072 127.0 13.5 1.391 1.868 0.3975 0.6327 0.6450 773.7

5.0 0.1093 111.0 26.0 1.881 2.367 0.5104 0.4337 0.5013 769.3

6.0 0.1129 86.5 30.8 2.425 2.927 0.6123 0.4854 0.6405 727.3

7.0 0.1183 59.9 32.2 3.130 3.657 0.7254 0.5295 0.8465 666.1

8.0 0.1296 31.5 30.0 4.111 4.687 0.8622 0.5821 1.292 569.1

* 8.620 3.1450 12.0 25.5 5.C79 5.723 0.9865 0.6331 2.458 464.0

• 8.620 0.5341 4.26 5.73 10.04 12.41 1.762 0.8088 4.317 324.7

9.0 0.6457 7.97 4.64 10.78 13.65 1.903 0.7883 2.667 353.4

10.0 0.8437 14.3 3.45 12.06 15.81 2.131 0.7629 1.861 401.9

11.0 1.004 19.1 2.86 13.08 17.54 2.296 0.7521 1.629 437.7

12.0 1.148 23.3 2.47 14.00 19.10 2.432 0.7471 1.518 467.9

13.0 1.285 27.1 2.20 14.87 20.59 2.551 0.7447 1.453 494.8

l<t. 1.417 30.7 1.98 15.72 22.02 2.657 0.7436 1.411 519.3

15.0 1,545 34.1 1.81 16.55 23.41 2.753 0.7432 1.381 542.0

16.0 1.671 37.4 1.67 17.36 24.78 2.841 0.7432 1.360 563.3

17.0 1.795 40.7 1.55 18.16 26.13 2.923 0.7433 1.344 583.5

18.0 1.917 43.8 1.45 18.95 27.47 3.000 0.7435 1.331 602.8

19.0 2.037 46.9 1.36 19.74 28.79 3.071 0.7437 1.321 621.3

20.0 2.157 50.0 1.28 20.52 30.11 3.139 0.7440 1.313 639.1

22.0 2.394 56.0 1.15 22.07 32.71 3.263 0.7444 1.300 673.0

2 it. 2.629 61.9 1.05 23.61 35.30 3.376 0.7448 1.291 704.8

26.0 2.863 67.7 0.961 25.15 37.87 3.478 0.7451 1.284 735.1

28.0 3.095 73.5 0.888 26.68 40.43 3.573 0.7453 1.278 763.9

30.0 3.325 79.2 0.825 28.20 42.98 3.661 0.7455 1.273 791.4

32.0 3.555 84.9 0.770 29.72 45.52 3.743 0.7456 1.269 818.0 34.0 3.784 90.5 0.722 31.24 48.06 3.820 0.7457 1.266 843.5

36.0 4.313 96.1 3.681 32.75 50.58 3.892 0.7457 1.263 868.3

38.0 4.240 102.0 0.643 34.26 53.11 3.961 0.7457 1.261 892.3 40.0 4.458 107.0 0.610 35.77 55.63 4.025 0.7457 1.259 915.6

•*5.

a

5.035 121.0 0.540 39.54 61.91 4.173 0.7457 1.255 971.3

50. 5.599 135.0 0.485 43.29 68.18 4.305 0.7457 1.252 1024.0

55.0 6.163 148.0 0.440 47.05 74.44 4.425 0.7456 1.250 1074.0

60.0 6.726 162.0 0.403 50.79 80.68 4.533 0.7456 1-249 1121.0

70.0 7.849 189.0 0.344 58.28 93.16 4.726 0.7455 1.247 1210.0

80.0 8.971 216.0 0.301 65.75 105.6 4.892 0.7454 1.245 1293.0

90.0 10.39 243.0 0.267 73.22 118.1 5.039 0.7453 1.244 1371.0

100. 11.21 270.0 0.240 80.68 130.5 5.170 0.7453 1.244 1445.0

120.0 13.45 324.0 0.200 95.60 155.4 5.396 0.7452 1.243 1582.0

140.0 15.69 378.0 0.172 110.5 180.2 5.588 0.7451 1.242 1708.0

160.0 17.92 431.0 0.150 125.4 205.1 5.754 0.7450 1.242 1825.0

180.0 20.16 485.0 0.133 140.3 229.9 5.900 0.7450 1.242 1935.0

200. 22.39 539.0 0.120 155.2 254.7 6.031 0.7450 1.242 2039.0

250.0 27.98 673.0 0. 0960 192.5 316.8 6.308 0.7449 1.241 2279.0

300.0 33.56 807.0 0.0800 229.7 378.9 6.534 0.7449 1.241 2496.0

350.0 39.15 941.0 0.0686 267.0 44 0.9 6.726 0.7448 1.241 2695.0

itOC.O 44.73 1070.0 0.0600 304.2 503.0 6.891 0.7448 1.241 2880.0

45C.0 50.32 1210.0 0.0533 341.4 565.1 7.038 0.7448 1.241 3055.0

500.0 55.90 1340.0 0. 0480 378.7 627.1 7.168 0.7448 1.241 3220.0

600.0 67.07 1610.0 0.0400 453.2 751.2 7.395 0.7448 1.241 3526.0 700.0 78.25 1880.0 0.0343 527.6 875.4 7.586 0.7448 1.241 3809.0

80C.0 89.42 2150.0 0.0300 602.1 999.0 7.752 0.7448 1.241 4071.0 900.0 100.6 2420.0 0.0267 676.6 1124.0 7.898 0.7448 1.241 4318.0

1000.0 111.8 2680.0 0.0240 751.0 1248.0 8.029 0.7448 1.241 4551.0

1200.0 134.1 3220.0 0.0200 900.0 1495.0 8.255 0.7448 1.241 4985.0

1400.0 156.4 3760.0 0.0171 1049.0 1744.0 8.446 0.7447 1.241 5384.0 1600.0 178.8 4290.0 0.0150 1198.0 1992.0 8.612 0.7447 1.241 5756.0

1800.0 201.1 4830.0 0.0133 1347.0 2241.3 8.758 0.7447 1.241 6105.0 2000.0 223.5 5360.0 0.0120 1496.0 2489.0 8.889 0.7447 1.241 6435.0 2500.0 279.3 6700.0 0.00960 1868.0 3139.0 9.166 0.7447 1.241 7194.0 3000.0 335.2 8040.0 3.00800 2240.0 3730.0 9.392 0.7447 1.241 7881.0

TWO-PHASE BOUNDARY
2<t PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM it

TEMPERATURE OENSITY

OEG. R LB/CU FT

V(DH/OV) V(DP/DU> -If (OP/0(/)„

p

v 1 BTU/L3 PSIA-CU FT/BTU PSIA

5-0 9..149 19.5

6.0 8,.857 15.9

7.0 8 .419 13.3

8.0 7..715 10.5

6.620 6 .895 7.95

8.620 1,,872 6.01

9.0 1,,549 7.09

10.0 1,,185 9.14

11.0 0..996 10.8

12. ,8707 12.4

13.0 o,,7780 13.9

llt.O 0..7057 15.4

15.0 0,,6471 16.8

16.0 0,,5985 18.2

17.0 0,,5572 19.6

18.0 0,,5217 21.0 19.0 0..4908 22.3

20.0 0.,4636 23.7

22.0 0..4176 26.3

24.0 0,.38 a 3 29.0

26.0 .3493 31.6

28.0 0,,3231 34.2 30.0 0..3007 36.8

32.0 0,.2813 39.3

34.0 0.,2642 41.9 36.0 0,,2492 44.4

38.0 0,,2358 47.0

40. Or,2238 49.5

1*5. 0,,1986 55.8

50.0 0. 1786 62.1

55.0 0,,1623 68.4

60.0 a,,1487 74.7

70.0 0,,1274 87.2

80.0 0,,1115 100.0

90.0 0.,09909 112.0 100.0 0,,08920 125.0 120.0 0.,07436 149.0

140.0 0,,06375 174.0 160.0 0.,05580 199.0

180.0 0.,04961 224.0 200.0 0.,04466 249.0

250.0 0,,03574 311.0

300.0 0,,02979 373.0 350.0 0,,02554 435.0 400.0 0,,02235 497.0 45G.0 a,,01987 559.0

500.0 o,,01789 621.0 600.0 0.,01491 745.0

700. 0,,01278 869.0

800. 0,,01118 994.0

900.0 0,,009942 1120.0

1000.0 0,,003948 1240.0 12u0.0 0,,007457 1490.0

140C.0 0,,006392 1740.0 1600.0 0,,005593 1990.0

1800.0 0,,304972 2230.0 2000.0 0,,004475 2480.0 25G0.O 0,,003580 31C0.0 30G0.O 0.. J02984 3720.0

2.29 1180.0 6.55 1010.0 7.16 767.0 7.23 504.0

6.67 243.0 5.84 82.5 3.79 7.9. 3.80 12.3 3.82 16.9 3.81 19.0

3.80 20.3 3.79 21.1 3.78 21.7 3.77 22.1 3.76 22.4 3.75 22.7 3.74 22.9 3.73 23.0 3.72 23.2 3.71 23.4

3.70 23.5 3.69 23.7 3.69 23.7 3.68 23.8 3.67 23.9 3.67 23.9 3.66 23.9

3.66 24.0 3.65 24.0 3.65 24.0 3.64 24.1 3.64 24.1 3.63 24.1 3.63 24.1 3.62 24.1 3.62 24.1 3.62 24.1 3.61 24.1 3.61 24.1 3.61 24.1 3.61 24.1 3.61 24.1 3.61 24.0 3.60 24.3 3.60 24.0 3.60 24.0 3.60 24.0 3.60 24.0 3.63 24.0 3.63 24.0 3.60 24.0 3.60 24.0 3.60 24.0 3.60 24.0 3.60 24.0 3.60 24.0 3.69 24.0 3.60 24.0 3.60 24.0

(DV/DTJ/V THERMAL VISCOSITY THERMAL DIELECTRIC PRANOTL

P CONDUCTIVITY DIFFUSIVITY CONSTANT NUMBER

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E*6

SQ FT/HR

0.0114 0.00889 2.68 0.00148 1.02052 0.700 0.0257 0.0103 2.73 0.00225 1.02041 0.477 0.0402 0.0111 2.60 0.00195 1.02020 0.542 0.0639 0.0116 2.40 0.00162 1.01984 0.631

0.123 0.0117 2.14 0.00117 1. 01911 0.852 0.309 0.0118 1.90 0.000697 1.01805 1.42

0.718 0.00840 1.03 0.00104 1.00649 1.91 0.376 0.00743 1.03 0.00180 1.00545 1.33 0.204 0.00733 1.08 0.00332 1.00425 0.985

0.150 0.00763 1.14 0.00470 1.00360 0.873

0.122 0.00801 1.20 0.00606 1.00316 0.818

0.104 0.00840 1.26 0.00743 1.00284 0.784

0.0916 0.00879 1.32 0.00882 1.00258 0.763 0.0821 0.00917 1.38 0.0103 1.00238 0.748 0.0746 0.00954 1.44 0.0117 1.00220 0.738 0.0685 0.00991 1.50 0.0132 1.00205 0.730 0.0634 0.0103 1.55 0.0148 1.00193 0.72it 0.0591 0.0106 1.61 0.0164 1.00181 0.720

0.0 554 0.O109 1.66 0.0180 1.00172 0.717 0.0494 0.0116 1.77 0.0214 1.00155 0.713 0.0446 0.D122 1.87 0.0249 1.00141 0.711 0.04G6 0.0128 1.97 0.0286 1.00130 0.709 0.0374 0.0134 2.07 0.0325 1.00120 0.708 0.0346 0.O140 2.16 0.0365 1.00112 0.708 0.0323 0.0145 2.25 0.0407 1.00105 0.708 0.0302 0.0150 2.34 0.0450 1.00099 0.708 0.0284 0.0156 2.42 0.0495 1.00093 0.708

0.0268 0.0161 2.51 0.0541 1.00088 0.708 0.0254 0.0166 2.59 0.0588 1.00084 0.709 0.0225 0.0178 2.79 0.0713 1. 00074 0.710 0.0202 0.0189 2.98 0.0846 1.00067 0.710 0.0183 0.0200 3.16 0.0987 1.00061 0.711 0.0167 0.0211 3.34 0.114 1.00056 0.711 0.0143 0.0232 3.67 0.146 1.00048 0.710 0.0125 0.0252 3.98 0.181 1.00042 0.709

0.0111 0.0271 4.28 0.220 1.00037 0.708

0.0100 0.0290 4.57 0.261 1.00034 0.706 0.00832 0.0326 5.11 0.352 1.00028 0.702 0.00713 0.0360 5.62 0.455 1.00024 0.698 0.0C624 0.0393 6.11 0.568 1.00021 0.694 0.00554 0.0426 6.58 0.691 1.00019 0-691 0.00499 0.0457 6.90 0.824 1.30017 0.675 0.00399 0.0532 7.99 1.20 1.00313 0.671 0.00333 0.0602 9.01 1.63 1.00011 0.669 0.00285 0.0669 10.0 2.11 1.00010 0.667 0.00250 0.0733 10.9 2.64 1.00008 0.666 0.00222 0.0793 11.8 3.22 1.00308 0.666 0.00200 0.0851 12.7 3.83 1.00007 0.667 0.00167 0.0962 14.4 5.20 1.00006 0.668 0.00143 0.107 16.0 6.75 1.00005 0.668 0.00125 0.118 17.6 8.47 1.33304 0.668 0.00111 0.128 19.1 10.3 1.00304 0.667 0.00100 0.137 20.5 12.4 1.00303 0.667 0.000833 0.156 23.3 16.9 1.00003 0.667 0.000714 0.174 26.0 21.9 1.00002 0.667

0. 000625 0.191 28.5 27.6 1.03302 0.666 0.000555 0.208 31.0 33.7 1.30002 0.666 0.000500 0.224 33.4 40.4 1. 00002 0.666 0.000400 0.263 39.2 59.1 1.00001 0.666 0.0C0333 0.299 44.6 80.8 1.00001 0.666

TWO-PHASE BOUNDARY
26 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM l»

TEMPERATURE VOLUME

4.G 0.1071

5.0 0.1091

6.0 0.1126

7.0 0.1183

8.0 0.1287

6.800 0.1503

8.800 0.4741

9.0 0.5431

10.0 3.7509

11.0 0.9058 12.0 1.044

13.0 1.173

14.0 1.296

15.0 1.416

16.0 1.533

17.0 1.648

18.0 1.762

19.0 1.874

20.0 1.985

22.0 2.205

24. 2.423

26.0 2.639

28.0 2.854

3C.0 3.068

32.0 3.280 34.0 3.492

36.0 3.703

38.0 3.914

itO.O 4.124

45.0 4.648

50.0 5.170 55.0 5.690 60.0 6.210

70.0 7.248

8C.0 8.284

90.0 9.318

100.0 10.35

12C.0 12.42

1<.0.0 14.48

160.0 16.55

130.0 18.61 200.0 20.67 250.0 25.83 300.0 30.99

350. 36.14

400.0 41.30 450.0 46.45

500-0 51.61

600.0 61.92

700.0 72.23

800.0 82.54 901.0 92.85 1000.0 103.2 12C0.0 123.8 1400.0 144.4

1600.0 165.0 1800.0 185.7 2000.0 206.3

2500.0 257.8

ISOTHERM DERIVATIVE

CU FT/L8 CU FT-PSIA/LB

128.0 112.0

88.4 61.9

33.7 8.65

3.33 5.74

13.0 18.1 22.5

55.7 61.7

67.6

73.4

79.1

84.8 90.4

96.1 102.0 107.0

121. 135,

148, 162.

189, 216.

243. 270.

324, 378, 431.0

485. G 539.0

673.0

807. 941. 1070.

1210, 1340,

1610,

1880.0

2150.0 2420.0

2680.0

3220.0

3760.0 4290.0

4830.0

5360.0 6700.0

8040.0

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY PSIA/R BTU/LB BTU/LB

13.5 1.389 1.905

26.0 1.875 2.401 30.9 2.415 2.957 32.4 3.111 3.681 30.4 4.071 4.690 24.3 5.383 6.107

6.51 9.873 12.16

5.61 10.39 13.00

3.91 11.86 15.47

3.19 12.93 17.29

2.74 13.88 18.90 2.42 14.77 20.42

2.18 15.63 21.87

1.98 16.46 23.28

1.83 17.28 24.66

1.69 18.09 26.02

1.58 18.89 27.37

1.48 19.68 28.70

1. 40 20.46 30.02

1.26 22.02 32.64

1. 14 23.56 35.23

1.04 25.10 37.81 0.964 26.63 40.38

0.895 28.16 42.93

0.836 29.69 45.48

0.784 31.20 48.02

0.738 32.72 50.55

0.698 34.23 53.08

0.662 35.74 55.60

0.586 39.51 61.89

0.526 43.27 68.16

0.477 47.03 74.42

0.437 50.78 80.67

0.373 58.26 93.16

0.326 65. 74 105.6

0.290 73.21 118.1 0.261 80.68 130.5 0.217 95.60 155.4

0. 186 110.5 130.2 0.163 125.4 205.1 0.144 140.3 229.9

0.130 155.2 254.8

Q.104 192.5 316.8

0. 0867 229.7 378.9

0.0743 267.0 441.0

0.0650 304.2 503.0 0.0578 341.4 565.1

0.0520 378.7 627.2

0.0433 453.2 751.3

0.0371 527.6 875.4 0.0325 602.1 1000.0 0.0289 676.6 1124.0

0.0260 751.1 1248.0

0.0217 900.0 1496.0

0. 0186 1049.0 1744.0

0.0162 1198.0 1992.0

0. 0144 1347.0 2241.0

0.0130 1496.0 2489.0

0. 0104 1868.0 3109.3 0.00867 2240.0 3730.0

ENTROPY 3TU/LB-R

3968

5090 6109

7225

8567

024 1.711

1.806 2.068

2.241

2.382

2.503

2.610 2.708

2.797

2.880 2.956

3.028

3.096

3.221 3.334

3.437

3.532

3.620 3.702

3.779

3.652

3.920 3.985 4.133

4.265

4.385

4.493 4.666

4.852 4.999

5.130 5.357 5.548

5.714

5.860 5.991 6.268

6.495 6.666

6.852 6.998

7.129 7.355 7.546

7.712 7.858

7.989 8.215

8.407

8.572 8.718

8.849

9.126

9.352

6277

4330 4849

5286

5802 6494

8095 7969

7660 7535 0.7477

0.7450 0.7437

0.7432

0.7431

0.7432 0.7434

0.7437 0.7439

0.7444

7448 7451

7454

7456

7457

7457

7458 0.7458

0.7458

.7458 .7458

.7457

.7457 .7456

.7455

.7454 0.7453

0.7452

0.7451

7451

7450

7450 7449

7449 7449

7448

7448

7448

7448 0.7448

0.7448

0.7448 0.7448

0.7448

0.7448 0.7447 0.7447

0.7447

0.7447

0.7447

CP VELOCITY

OF SOUND

-R FT/SEC

0.6397 778.6 0.4994 774.3

0.6370 733.3 0.8373 673.8

1.251 580.5

3.154 441.2

5.474 322.9

3.486 341.1

1.995 396.0 1.690 433.9

1.554 465.2 1.478 492.7 1.429 517.6

1.396 540.7 1.372 562.3 1.353 582.6 1.339 602.2

1.328 620.8 1.319 638.8

1.305 672.8 1.295 704.8

1.287 735.2

1.281 764.1 1.276 791.7

1.271 818.3 1.268 843.9 1.265 668.7 1.262 892.7

1.260 916.1

1.256 971.8 1.253 1024.0 1.251 1074.0 1.249 1122.0 1.247 1211.0 1.246 1294.0 1.245 1372.0 1.244 1445.0 1.243 1582.0 1.242 1708.0 1.242 1S25.0 1.242 1935.0

1.242 2040.0 1.241 2279-0

1.241 2496.0 1.241 2695.0 1.241 2881.0 1.241 3055.0 1.241 3220.0 1.241 3527.0 1.241 3809.0 1.241 4071.0

1.241 4318.0 1.241 4551.0 1.241 4985.0

1.241 5385.0

1.241 5756.0

1.241 6105.0 1.241 6435.0

1.241 7194.

G

1.241 7881.0

TWO-PHASE BOUNDARY

56
26 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

OEG. R L8/CU FT BTU/L9 PSIA-CU FT/3TU PSIA

4 9 341 57.0

5 9 168 19.8

6 8 881 16.2

7 8 1.52 13.5

e 7 773 10.8

6 800 6 651 7.1.8

8 830 2 109 5.90

9 1 8 <»1 6.58

10 1 332 8.83

11 1 101. 10.6

12 9582 12.2

13 a 8528 13.8

111 7715 15.2

15 7062 16.7

16 a 6522 18.1

17 6067 19.5

18 5675 20.9

19 5336 22.2

20 5J37 23.6

22 1.531. 26.3

24 1.127 28.9

26 3789 31.5

28 3501. 34. 1 30 3260 36.7

32 301.8 39.3

3". 2861. 1.1.9 36 2700 1.1.. i. 38 2555 1.7.0 40 21.25 1.9.5

45 2152 55.8

50 1931. 62.1

55 c 1757 68.1. 60 1610 71..

70 ii 1380 87.2

8 a 1207 130.0

90 G 1073 112.0

100 39660 125.0

120 08353 11.9.0 140 a 06905 171..

16C 0601.1. 199.0

180 a 05371. 221.. 200 01.837 21.9.0 250 c 03872 311.0

300 33227 373.

350 02767 1.35.0

".CO 321.21 1.97.0

"»50 02153 559.0

SCO 01938 621.0

600 01615 71.5.0

70C 31381. 869.0

60C 01212 991.. 900 Q 01077 1120.0

100C 303693 121.0.0 1230 008078 11.90.0 140G 036925 171.0.0 16D0 306059 1990.0

1800 005386 2230.0

20 OC 001.81.8 21.80.0 250 003878 3100.0

30CC 003232 3720.0

2.30 1200.0 6.55 1030.0 7.17 785.3 7.26 523.0

6.71. 262.0 5.62 57.5 3.81 7.02

3.82 10.6 3.83 17.3 3.83 20.0

3.82 21.5 3.81 22.5 3.79 23.2 3.78 23.7

3.77 2it. 1 3.76 24.4 3.75 21.. 7 3.71. 21..

3.73 25.0 3.72 25.3

3.71 25.5 3.70 25.6 3.69 25.7 3.68 25.8

3.69 25.8 3.67 25.9

3.67 25-9 3.66 26.0 3.66 26.0

3.65 26.0 3.64 26.1

3.61. 26.1

3.61. 26.1 3.63 26.1

3.62 26.1 3.62 26.1

3.62 26.1 3.62 26.1 3.61 26.1 3.61 26.1

3.61 26.1 3.61 26.1 3.61 26.0 3.61 26.0 3.60 26.0

3.60 26.0 3.60 26.0 3.60 26.0 3.60 26.0

3.60 26.0 3.60 26.0 3.60 26.0

3.60 26.0 3.60 26.0 3.60 26.0 3.60 26.0 3.60 26.0 3.60 26.0 3.60 26.0

<DV/OT)/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R 8TU/FT-HR-R LB/FT-SEC

X 10E+6

2.70 2.75

2.62

2.1.2 2.16

1.81. 1.08

1.07

1.10

1.15 1.21

1.27

1.33 1.39

1.1.5 1.50 1.56

1.61 1.67

1.77 1.88

1.97

2.07

2.16

2.25

0112 00890

0253 0104

0394 0111

0620 0116

116 0. 0118

1.22 0121

927 00937

530 0G810

226 00749

159 00773

127 00803

107 00845

0937 00884

0836 a 0O921

0757 00958 0694 00995

0641 0103 0597 0106 0559 0110 0497 0116

0446 a 0123

0408 0129

0375 0134

0347 0140

0323 0145

0303 0151 C285 a. 0156 0269 0161 0255 0166

22 5 0178

0202 0189

0183 0200 0167 0211

a 0143 0232

0125 0252 0111 0271

0100 0290 00832 326 00713 c 0360 00624 0394 00554 0. 0426

a 00499 0457 00399 0532 00333 0603 00285 0669 0025C 0733 00222 3793

00200 0851 00167 0962

a 00143 a 107 00125 118 00111 128 0C100 137

a 000833 156 000714 174 000625 191 003555 208 000500 a 224 000400 263 000333 a 299

2.79 2.98

3.16

3.34 3.67

3.99 4.28

4.57

5.11

5.62

16.0 17.6

19.1

20.5 23.3

26.0 28.5

31.0 33.4

39.2

44.6

THERMAL DIELECTRIC PRANDTL IFFUSIVITY CONSTANT NUMBER

SO. FT/HR

0.00149 1. 02053 0.698 0.00226 1.02042 0.477 0.00196 1.02022 0.541 0.00164 1.01987 0.627 0.G0121 1.01918 0.829 0.000576 1.01769 1.73 0.000811 1.00723 2.27 0.00126 1.00639 1.66 0.00282 1.00474 1.05 0.00414 1.00397 0.907 0.00542 1.00347 0.338 0.00671 1.00310 0.799 0.00801 1.00282 0.774 0.00935 1.00259 0.757

0.0107 1.00239 0.745

0.0121 1.00223 0.736

0.0136 1.00209 0.730 0.0150 1.00197 0.725

0.0165 1.00186 0.721

0.0197 1.00168 0.716 0.0229 1.00153 0.713

0.0264 1.00141 0.711 0.0299 1.00130 0.710 0.0337 1.00121 0.710 0.0375 1.00114 0.709 0.0415 1.00107 0.709 0.0456 1.00101 0.709 0.0499 1.00095 0.709

0.0543 1.00091 0.710 0.0658 1.00081 0.710 0.C781 1.00072 0.711 0.0912 1.00066 0.711 0.105 1.00060 0.711 0.135 1.00052 0.711

0.168 1.00045 0.709

0.203 1. 00040 0.708

0.241 1.00036 0.706

0.325 1.00030 0.702

0.420 1.00026 0.698

0.524 1.00023 0.694

0.638 1. 00020 0.691 0.761 1.30018 0.675

1.11 1.00015 0.671

1.50 1.00012 0.669

1.95 1.00010 0.667 2.44 1.00009 0.666 2.97 1.03008 0.666

3.54 1.00007 0.667

4.80 1.00006 0.668 6.23 1.03005 0.668

7.81 1.00005 0.668

9.55 1.00004 0.667

11.4 1.00004 0.667

15.6 1. 00003 0.667 20.3 1.00003 0.667 25.4 1.00002 0.666

31.1 1.00002 0.666

37.3 1.00002 0. 666 54.6 1.00001 0.666

74.6 1.00001 0.666

TWO-PHASE BOUNOARY
2d PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM I.

TEMPERATURE VOLUME ISOTHERM

DERIVATIVE

OEG. R CU FT/L3 CU FT-PSIA/L

4.0 0.1069 130.0

5.0 3.1089 114.0

6.0 0.1123 90.1

7.0 0. 1179 63.8

8.0 0.1278 35.9

» 8.971 0.1571 5.69

• 8.971 0.4174 2.35

9.0 0.1)320 2.65 ICO 0.6693 11.6

11.0 0.8211) 17.1 12.0 0.9535 21.7

13.0 1.076 25.7 14.0 1.192 29.5

15.0 1.305 33.1

16.0 1.1)15 36.5

17.0 1.523 39.9

18.0 1.629 43.1

19.0 1.731) 46.3

20.0 1.838 49.4

22.0 2.01)3 55.5

24.0 2.21)6 61.5

26-0 2.1)1)8 67.4

28.0 2.61)8 73.2

30.0 2.81)7 79.0 32.0 3.01)5 84.7 34.0 3.21.2 90.4

36.0 3.1)38 96.0 38.0 3.634 102.0

1)0.0 3.829 107.0

<»5.0 4.316 121.0 50.0 i).802 135.0 55.0 5.285 149.0 60.0 5.768 162.0

70. U 6.732 189.0 80.0 7.691. 216.0

90.0 8.655 243.0 100.0 9.615 270.0

12(1.0 11.53 324.0

11.0.0 13.45 378.0

160.0 15.37 432.0

180.0 17.28 485.0 200.0 19.20 539.0 250.0 23.99 673.0 300.0 28.78 807.0 350.0 33.56 941.0

40 0.0 38.35 1080.0 450.0 1)3. 11* 1210.0 50C.0 47.93 1340.0 601.0 57.50 1610.0 70G.0 67.07 1880.0 800.0 76.65 2150.0

900. 86.22 2420.0 1000.0 95.83 2680.0

1200.0 111).

9

3220.0

l<t00.0 134.

1

3760.0

1600.0 153.2 4290.0

1800.0 172.1* 4830.0

2000.0 191.5 5360.0 25C0.0 239.1* 6700.0

3000.0 287.3 8050.3

ISOCHORE INTERNAL DERIVATIVE ENERGY PSIA/R BTU/LB

13.4

26.0

31.0

32.6 30.8 22.8

7.47 7.19

4.43 3.54

3.01 2.65

2.38 2.16

1.99 1.84

1.72

1.61 1.52

1.36

1.23 1.13

1.04 0.967

0. 902

3. 846 0.797

3.753 3.714

0.632

0. 567 0.514

3.470 0.402

0.351 0.312

0.281 0.234

3.233

,175

.156

,140 .112 .0933

.0800 3.0700 0.0622

0. 0568 3.0467

3. 0400 0.3350

0.0311

0. 3280 0.0233

0. 0200 0.0175

0.0156

0.0140

0.0112

1.368

1.870 2.405

3.094

4.034

5.723 9.644

9.770 11.64

12.77

13.75

14.67

15.53

16.38

17.20 18.02

18.82

19-61

20.40 21.97

23.52 25.06

26.59

28.12

29.65

31.17 32.69

34.20 35.72 39.49

43.25 47.01

53.76

58.25 65.73

73.20 80.67

95.59 110.5

125,

140,

155, 192.

229,

267. 304,

341.

378, 453, 527.6

602.1

676.6

751.1

900.0 1349.0

1198.0

1347.0

1496.0

1868.0 2240.0

ENTHALPY

BTU/LB

1.942 2.434

2.987

3.705 4.696

6.537 11.81 12.01

15.11 17.03

18.70 20.24 21.72

23.15 24.54

25.91 27.27

28.61 29.93

32.56

35.16 37.75

40.32

42.88

45.44

47.98

50.52

53.05

55.57 61.87

68.15 74.41

80.67

93.15 105.6

118.1 130.5

155.4 180.2

205

229 254

316

37 8 441 503.1

565.1 627.2

751.3

875. 1000,

1124.

1248, 1496,

1744,

1992, 2241,

2489,

ENTROPY

BTU/LB-R

0.3961 0.5076

0.6090

7196

8515

066

653 676

005

189

334

457 567

665

755

639 916

988

056

182 3.295

3.398

3.494

3.582

3.665 3.742

3.814

3.883

3.947

.096 228

347

.456 649

815

962

393

320

.511 5.677 5.824

5.954

6.231

6.458

6.649

6.315

6.961

7.092

7.318 7.509 7.675

7.821

7.952

8.176

8.370 8.535

8.682 8.812

9.089

9.316

0.6227 0.4323

0.4844

0.5278

0.5785

0.6676 0.8093 0.8072

0.7694

0.7551 0.7484

0.7452

0.7438

0.7432

0.7431 0.7432

0.7434 0.7436

0.7438

0.7443

0-7448

0.7452 0.7454

0.7456 0.7457

0.7458

0.7459 0.7459

0.7459

0.7459

0.7459

0.7458

0.7457 0.7456

0.7455 0.7454

0.7453

0.7452

0.7451 0.7451

0.7450

0.7450 0.7449

0.7449

0.7449

0.7448

0.7448

0.7448 0.7448

0.7448 0.7448

0.7448 0.7448

0.7448

0.7448

0.7448 0.7447

0.7447

0.7447

CP VELOCITY

OF SOUND

-R FT/SEC

0.6345 783.5 0.4975 779.3

0.6336 739.1 0.6287 681.2

1.216 591.4 4.418 417.6

7.668 321.2 6.443 324.8 2.167 389.9 1.759 430.0 1.594 462.4 1.504 490.6

1.448 516.0 1.411 539.4

1.383 561.3

1.363 562.0 1.347 601.6

1.335 620.4

1.326 638.4

1.310 672.7 1.299 704.9 1.291 735.4

1.284 764.3

1.278 792.0 1.274 818.7

1.270 844.3 1.267 869.1 1.264 893.2

1.262 916.6 1.257 972.3 1.254 1025.0

1.252 1075.0

1.250 1122.0

1.248 1211.0 1.246 1294.0 1.245 1372.0 1.244 1446.0

1.243 1583.0 1.243 1709-0 1.242 1826.0 1.242 1936.0 1.242 2040.0

1.241 2279.0 1.241 2496.0

1.241 2695.0 1.241 2881.0 1.241 3055.0

1.241 3220.0

1.241 3527.0 1.241 3809.0 1.241 4072.0 1.241 4318.0

1.241 4551.0 1.241 4965.0

1.241 5385.0

1.241 5756.0 1.241 6105.0 1.241 6435.0

1.241 7194.0

0.7447

TWO-PHASE BOUNDARY
THERMOPHYSICAL PROPERTIES OF HELIUM *

TEMPERATURE DENSITY

DEG. R L8/CU FT

28 PSIA ISOBAR

VCOH/OV)

p v T

8TU/LB PSIA-CU FT/BTU PSIA

It 9 .356 57.5

5 9 .187 20.0

6 8 90* 16.*

7 8 *8* 13.7

e 7 828 11.1

8 971 6 .366 7.01

8 971 2 396 5.79

9 2 315 5.92

1G 1 *9* 8.51

11 1 217 10.*

12 1 0*9 12.0

13 9295 13.6

ll» 8386 15.1

15 7662 16.6

16 7066 18.0

17 a 6566 19.*

18 6137 20.8

19 5767 22.1

20 5**1 23.5

22 *89* 26.2

2* a **52 28.8

26 a *085 31.5

28 3777 3*.l

30 3513 36.7

32 328* 39.3

3* 3085 *1.8

36 2909 **.*

38 2752 *7.0

*G 2611 *9.5

*5 2317 55.8

50 2083 62.2

55 1892 68.*

60 173* 7*.

7

70 1*85 87.2

80 a 1300 100.0

90 1155 112.0

100 10*0 125.0

120 08670 150.0

1*0 07*3* 17*.

16C 06507 199.0

180 05786 22*. 200 05208 2*9.0

250 0*169 311.0

300 03*75 373.0

350 02979 *35.0

<*00 02608 *97.0

1)50 02318 559.0

500 02087 621.0

600 01739 7*5.0

700 01*91 870.0

800 01305 99*. 900 01160 1120.0

1000 010** 12*0.0

1200 008700 1*90.0

lUuil 007*57 17*0.0

1600 006525 1990.0

1800 005801 2230.0

2000 005221 2*80.0

2500 00*177 3100.0

3000 003*81 3720.0

2.31 1220.0 6.55 1050.0 7.18 803.0

7.29 5*1.0

6.80 281.0 5.37 36.2 3.85 5.63 3.85 6.60 3.85 17.* 3.85 20.9

3.8* 22.7 3.82 23.9

3.81 2*. 8 3.79 25.* 3.78 25.8

3.77 26.2 3.76 26.5 3.75 26.7 3.7* 26.9 3.73 27.2

3.72 27.* 3.71 27.5

3.70 27.7 3.69 27.7 3.68 27.8 3.68 27.9 3.67 27.9

3.67 28.0 3.66 28.0 3.65 28.0 3.65 28.1 3.6* 28.1 3.6* 28.1 3.63 28.1 3.63 28.1 3.62 28.1 3.62 28.1 3.62 28.1 3.61 28.1

3.61 28.1 3.61 28.1 3.61 28.1 3.61 28.1

3.61 28.0

3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0

3.60 28.0 3.60 28.0 3.60 28.0 3.60 28.0

<DV/DT>/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E + 6 2.72

2.77 2.6*

2.**

2.19

1.79

1.13

1.13

1.12

1.17

1.22 1.28

1.3*

l.*0

l.*6 1.51

1.57

1.62

1.68

1.73

0110 00892

02*9 010*

0386 0111

0603 0117

109 0118

630 0127

1 33 0110

1 09 01D2

255 00768

170 00783

132 00815

111 00852

0959 00889

0852 00926

a 76 9 00963

0703 0100

06*8 0103 0603 0107

056* 0110

0500 0117.

0*51 0123

0*10 0129

0377 0135

03*8 01*0 032* 01*6

30 3 0151 0285 a 0156 0269 0161 0255 a 0166 0225 0178

0202 0190

0183 0201 0167 0211 01*3 0232 0125 0252

0111 0271

0100 0290 00831 0326 00713 0360 00623 039* 0055* 0*26 00*99 0*57 00399 0532 00333 0603 00285 0669

00250 0733

00222 0793

00200 0. 0851 00167 0962 001*3 107 00125 118

00111 128 00100 137 000833 156 00071* 0- 17* 000625 191

0. 000555 0. 208 000500 22*

000*00 263 000333 299

THERMAL DIELECTRIC PRANDTL IFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.00150 1.0205* 0.696 0.00227 1.020*3 0.*78 0.00197 1.0202* 0.5*1 0.00166 1.01990 0.62* 0.0012* 1.0192* 0.809

0.000*50 1.0172* 2.2* 0.000600 1.00810 2.8* 0.G00685 1.00786 2.55 0.00237 1.00528 1.1* 0.00366 1.00*35 '0.9** 0.00*88 1.00378 0.861 0.00609 1.00337 0.815 0.00732 1.00305 0.786 0.00857 1.00280 0.766 0.00985 1.00259 0.753

0.0112 1.002*1 0.7*3 0.0125 1.00226 0.735

0.0139 1.00212 0.730 0.0153 1.00201 0.726

0.0182 1.00181 0.720

0.0212 1.00165 0.716 0.02** 1. 00152 0.71*

0.0278 1.001*0 0.712

0.0312 1.00131 0.711 0.03*8 1.00122 0.711 0.0385 1.00115 0.710 0.0*2* 1.00108 0.710 0.0*63 1.00103 0.710 0.050* 1.00098 0.710 0.0611 1.00087 0.711 0.0726 1.00078 0.711

0.08*7 1.00071 0.711 0.0976 1.00065 0.711 0.125 1.00056 0.711

0.156 1.000*9 0.710 0.189 1.000*3 0.708 0.22* 1.00039 0.706 0.302 1.00033 0.702

0.390 1.00028 0.698

0.*87 1.00025 0.69*

0.593 1.00022 0.691

0.707 1.00020 0.575

1.03 1.00016 0.671

l.*0 1.00013 0.569

1.81 1.00011 0.667

2.26 1.00010 0.666

2.76 1.00009 0.666 3.29 1.00008 0.667 *.*6 1.00007 0.668 5.79 1.00006 0.668 7.26 1. 00005 0.668

8.86 1.0000* 0.667

10.6 1.0000* 0.657

1*.5 1.00003 0.667 18.8 1.00303 0.667 23.6 1.00002 0.666 28.9 1.00002 0.666

3*.

6

1.00002 0.666

50.7 1.00002 0.666

69.3 1.00001 0.666

TWO-PHASE BOUNDARY

59
THERMODYNAMIC PROPERTIES OF HELIUM it 30 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

DEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU ' LB -R FT/SEC

It.

a

0.1067 132.0 13.4 1.386 1.979 C.3955 0.6179 0.6294 788.4

5.0 J ,

1

J8d 116.0 26.0 1.864 2.463 0.5063 0.4316 0.4956 784.2

6.0 0.1120 91.9 31.1 2.395 3.018 0.6071 0.4839 0.6304 744.8

7.0 J. 1174 65.7 32.8 3.077 3.729 0.7169 0.5270 0.6206 668.4

8.0 0.1269 38.1 31.1 3.999 4.734 0.8466 0.5769 1.185 601.8

9.0 0.1535 7.87 23.7 5.626 6.479 1.053 0.6623 3.463 436.5 9.134 3. 1665 3.10 21.1 6.129 7.354 1.117 0.6392 7.394 392.7

• 9.13<t 0.3602 1.34 8.74 9.309 11.31 1.582 0.8372 13.31 320.2

10.0 0.5963 10.2 5.02 11.39 14.70 1.941 0.7730 2.397 383.4

11.0 0.71.75 16-1 3.92 12.61 16.76 2.138 0.7566 1.839 426.0

12.0 J. 8750 20.9 3.30 13.63 18.49 2.288 0.7491 1.637 459.6

13.0 0.9919 25.1 2.89 14.56 20.07 2.414 0.7455 1.532 488.5

14.0 1.103 28.9 2.56 15.44 21.57 2.525 0.7439 1.468 514.4

15.0 1.2J9 32.6 2.34 16.29 23.01 2.625 0.7432 1.426 538.2

16.0 1.313 36.1 2.15 17.13 24.42 2.716 0.7430 1.396 560.4

17.0 1.414 39.5 1.99 17.95 25.80 2.800 0.7it31 1-373 581.2

18.0 1.514 42.8 1.35 18.76 27.17 2.878 0.7433 1.356 601.0

19.0 1.613 45.9 1.73 19.55 23.51 2.951 0.7435 1.343 619.9

20.0 1.710 49.1 1.63 20.34 29.84 3.019 0.7438 1.332 638.1 22.0 1.903 55.2 1.46 21.91 32.48 3.145 0.7443 1.316 672.6

24.0 2.093 61.3 1.33 23.47 35.10 3.259 0.7448 1.304 704.9

26.0 2.232 67.2 1.21 25.01 37.69 3.363 0.7452 1.295 735.5

28.0 2.469 73.1 1.12 26.55 40.27 3.458 0.7455 1.287 764.6 30.0 2.655 78.9 1. 04 28.09 42.84 3.547 0.7457 1.281 792.4

32.0 2.840 84.6 0.969 29.61 45.39 3.629 0.71.58 1.276 819.0

34. 3.025 90.3 0.908 31.14 47.94 3.706 0.7459 1.272 844.7

36.0 3.238 96.0 0.855 32.66 50.48 3.779 0.7460 1.269 869.6

38.0 3.391 102-0 0. 808 34.18 53.02 3.848 0.7460 1.266 893.7 40.0 3.574 107.0 0.766 35.69 55.54 3.912 0.71.63 1.263 917.0 45.0 4.029 121.0 0.677 39.47 61.85 4.061 0.7460 1.259 972.8

50.0 4.482 135.0 0.608 43.23 68.13 4.193 0.7459 1.255 1025.0

55.0 4.934 149.0 0.551 46.99 74.40 4.313 0.7459 1.253 1075.0

60.0 5.385 162.0 0.504 50.74 80.66 4.422 0.7456 1.251 1123.0

70.0 6.245 189.0 0.431 58.23 93.15 4.614 0.7457 1.248 1212.0

80.0 7.184 217.0 0.377 65.72 105.6 4.781 0.7456 1.246 1295.0

90.0 8.031 244.0 0.334 73.19 118.1 4.928 0.7455 1.245 1373.0

100.0 8.977 271.0 0.3ul 80.66 130.5 5.059 0.7454 1.244 1446.0

120.0 10.77 324.0 0.250 95.58 155.4 5.285 0.7453 1.243 1583.0

140.0 12.56 378.0 0.214 110.5 180.3 5.477 0.7452 1.243 1709.0

160.0 lit. 35 432.0 0.188 125.4 205.1 5.643 0.71.51 1.242 1826.0 180.0 16.13 485.0 0.167 140.3 230.3 5.789 0.7451 1.242 1936.0 20C.0 17.92 539-0 0. 150 155.2 254.8 5.920 0.7450 1.242 2040.0

25C.0 22.39 673.0 0.120 192.5 316.9 6.197 0.7450 1.242 2280.0

300.0 26.35 807.0 0.131 229.7 378.9 6.423 0.7449 1.241 2496.0

35C.0 31.33 941.0 0.0857 267.0 441.0 6.615 0.7449 1.241 2696.0 400-0 35.30 1080.0 0.3750 304.2 503.1 6.781 0.741.9 1.241 2881.0 450.0 40.27 1210.0 0.0667 341.4 565.1 6.927 0.7448 1.241 3055.0 50C.0 44.73 1340.0 3. 0600 378.7 627.2 7.058 0.7448 1.241 3220.0

600.0 53.67 1610.0 0.0500 453.2 751.3 7.284 0.741.8 1.241 3527.0

700.0 62.61 1880.0 0.0429 527.6 875.4 7.475 0.7448 1.241 3809.0

800.0 71.54 2150.0 0.0375 602.1 1030.0 7.641 3.741.8 1.241 4072.0 900.0 80.48 2420.0 0.0333 676.6 1124.0 7.787 0.7448 1.241 4318.0 1000-0 89.41 2680-0 0. 3300 751-1 1248.3 7.918 0.7448 1.241 4552.0

1200.0 107.3 3220.0 3.3250 900.0 1496.0 6.144 0.7448 1.241 4966.0

1400.0 125.2 3760.0 0.0214 1049.3 1744.3 8.335 0.7448 1.241 5385.0

1600.0 143.0 4290.0 0.0187 1198.0 1992.0 / 8.501 0. 7448 1.241 5756.0

1800.0 160.9 4830.0 0.0167 1347.0 2241.0 8.647 0.7448 1.241 6105.0

20GG.0 178.3 5360.0 0.0150 1496.0 2489.0 8.778 . 7i*i»7 1.241 6435.0 2500.0 223.5 6700.0 0. 3120 1868.0 3109.0 9.055 0.7447 1.241 7194.0 3000.0 26S.1 8050.0 0. 3100 2240.0 3730.0 9.281 0.7447 1.241 7881.0

THO-PHASE BOUNOARY
30 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM I.

TEMPERATURE DENSITY

DEG. R LB/CU FT

VCOH/DV) \MDP/DU> -VIDP/OV)

p v T

BTU/LB PSIA-CU FT/BTU PSIA

<t.O 9..372 58.0

5.0 9,,205 20.3

6.0 8,.927 16.6

7.0 8,,515 14.

a

6.0 7,.879 11.1. 9.0 6.,510 7.1.9 9.131. 6.,006 6.51. 9.131. 2 .776 5.67

10.0 1,,677 8.19

11.0 1.,338 10.1

12.0 1,,11.3 11.8

13.0 1.,008 13.1.

11.. 0,,9070 li«.

9

15.0 0,.8271 16.1. 16.0 0..7617 17.9

17.0 0,.7070 19.3

18.0 0,.6633 20.7

19.0 a,.6231 22.1

20. C 0..58<.7 23.1. 22.0 0.,5255 26.1

21.. 0,,1.777 28.8

26.0 0..1.382 31.1. 28.0 ,1.050 3i>. 30.0 0.,3766 36.7

32.0 0,,3521 39.2

3<t.O 0,,3306 1.1.8 36.0 0,,3117 1.1.. 1. 38.0 0.,291.9 1.6.9

1.0.0 a. 2798 1.9.5

1.5.0 a,,21.82 55.8

5C.0 a, 2231 62.2

55.0 0,,2027 68.5

6G.0 0,,1857 71..

7

70.0 0,,1591 87.3

8C.0 0,,1392 100.0

90.0 0. 1238 112.0 10G.0 0,,1111. 125.0

120.0 0,,09287 150.0

11.0.0 0.,07963 171.. o 160.0 a,,06970 199.0

180.0 0,,06198 221.. 200.0 0.,05580 21.9.0 250.0 0.,0i. '.66 311.0 300.0 0,,03723 373.0 350.0 0,,03192 1.35.0 1.00.0 0.,02791. 1.97.0

1.50.0 0. 021.81. 559.0

500.0 0,,02235 621.0 600.0 0,,01863 71.5.0

700.0 0,,01597 870.0

800.0 0..01398 991.. 900.0 G,,0121.3 1120.0

1000.0 0,,01118 121.0. 1200.0 0.,009321 11.90.0 1U0O.0 0.,007990 171.0.0 1600.0 0,,006991 1990.0 1800.0 0,,006215 2230.0 2000.0 0.,005591. 21.80.0 2500.0 0,,001.1.75 3100.0 300C.0 0.,003729 3720.0

2.31 1230.0 6.55 1060.0

7.20 821.0 7.32 559.0 6.65 300.0

5.1.9 51.2 5.09 18.6

3.90 3.73

3.88 17.2 3.87 21.6

3.85 23.8

3.81. 25.3 3.82 26.2 3.81 27.0 3.79 27.5 3.78 27.9

3.77 28.2 3.76 28.5 3.75 28.7

3.71. 29.0 3.73 29.3 3.72 29.5 3.71 29.6

3.70 29.7 3.69 29.8 3.68 29.9 3.63 29.9 3.67 30.0 3.67 30.0 3.66 30.1 3.65 30.1 3.65 30.1

3.61. 30.1 3.63 30.1 3.63 30.1 3.62 30.1 3.62 30.1 3.62 30.1 3.61 30.1

3.61 30.1 3.61 30.1 3.61 30.1 3.61 30.1 3.61 30.1 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0 3.60 30.0

(OV/OT>/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-5EC

X 10E*6

2.71. 2.79 2.66

2.1.6 2.21

1.83

1.71

1.20

l.li. 1.18

1.21. 1.29

1.35

1.1.1 1.1.6 1.52 1.57

1.63

1.68 1.79

0..0109 0,,00891.

0,,021.1. a,,0101. .0379 0.,0112

o..0587 0,,0117

0,,101. 0,,0119

0,,1.62 0,,0123

1,.13 0,,011.2

2,,35 0,,011.9

0,,293 0,,00793

0,,182 a,,00795

0,.138 0,.00823

,111. 0,,00858

0,,0983 0.,00891.

0,,0868 a,,00931

0,,0781 a.,0 0967

0.,0712 0',0100

0,,0656 0,,0101.

0,,0609 0..0107

0,,0569 0,,0111

0,,0501. 0.,0117

0,,01.53 0,,0123

0.,01.12 0,,0129

0,.0378 0,,0135

0,,0 31.9 0,,011.1

0..0325 0..011.6

0,,0 301. 0,,0151

0.,0286 0,,0156

0,.0270 a,,0161

0..0255 0.,0166

0,,0225 0,,0178

0,,0202 0, 0190

0,,0183 a. 0201

0,,0167 0,,0212

0,,011.3 0,,0232

0.,0125 a,,0252

0. 0111 0..0271

0,,0100 0,,0290

0,,00831 0.,0326

0.,00712 0,,0361

0,,00623 a,,0391.

0,,00551. o<,0426

0.,001.99 0.,01.57

0. 00399 a. 0532

0,,00333 0.,0603

0,,00285 0.,0669

0,,00250 0,,0733

0..00222 0.,0793

0,,00200 0,,0851

0,,00167 0,.0962

0.,0011.3 0. 107

0.,00125 0,.118

0,,00111 0,.128

0.,00100 a,,137

0..000833 0.,156

0,,000711. 0,,171.

0,,000625 a,,191

0,,000555 0,.208

0.,000500 0,.221.

0.,0001.00 a,,263

2.80 2.99

3.17

3.31. 3.63 3.99

it. 29

I.. 57 5.11

5.63

6.11 6.58

6.91

7.99

9.01

10.0 10.9

11.8

12.7

II.. 1.

16.0 17.6

19.1

20.5

23.3

26.0 28.5

31.0

33.1. 39.2 0.0C0333 0.299 1.1..

6

THERMAL DIELECTRIC PRANOTL

IIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.00152 1.02055 0.695 0.00228 1.0201.5 0.1.78 0.00198 1.02026 0.51.0 0.00168 1.01993 0.620 0.00128 1.01930 0.793

0.00051.1. 1.0171.7 1.86 0.000320 1.01661. 3.21

0.0001.01. 1.00921 3.81. 0.00197 1.00537 1.21. 0.00323 1.001.76 0.986

0.001.1.0 1.001.10 0.835 0.00555 1.00361. 0.831 0.00671 1.00329 0.798 0.00789 1.00301 0.776 0.00910 1.00278 0.760 0.0103 1.00259 0.71.9 0.0116 1.0021.2 0.71.1 0.0129 1.00223 0.731. 0.011.2 1.00215 0.730 0.0169 1.00191. 0.723 0.0198 1.00177 0.719

0.0228 1.00162 0.716 0.0259 1.00150 0.711. 0.0291 1.0011.0 0.713 0.0325 1.00131 0.712

0.0360 1.00123 0.711 0.0395 1.00116 0.711

0.01.32 1.00110 0.711

0.01.71 1.00101. 0.711 0.0571 1.00093 0.711 0.0678 1.00083 0.712 0.0791 1.00076 0.712 0.0911 1.00070 0.712 0.117 1.00060 0.711

0.11.5 1.00052 0.710 0.176 1.0001.6 0.708 0.209 1.0001.2 0.706 0.282 1.00035 0.702

0.361. 1. 00030 0.698

0.1.55 1.00026 0.691. 0.553 1.00023 0.691

0.660 1.00021 0.675

0.960 1.00017 0.671

1.30 1.00011. 0.669

1.69 1.00012 0.667

2.11 1.00011 0.666

2.57 1.00009 0.666

3.07 1.O00O8 0.667 4.16 1.00007 0.668

5.1.0 1.00006 0.668 6.77 1.00005 0.668

8.27 1.00005 0.667

9.90 1.00001. 0.667

13.5 l.OOOOi. 0.667

17.6 1.00003 0.667

22.1 1.00003 0.666

27.0 1.00002 0.666

32.3 1.00002 0.666

1.7.3 1.00002 0.666

6<t.

6

1.00001 0.666

THO-PHASE BOUNDARY
32 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM it

TEMPERATURE VOLUME

DEO. R CU FT/LB

<t.O 5.0

6. a 7.0

8.0

9. j 9.26

9.26

10. D 11.0

12.0

13.0

11.. 15.0

16.0

17. ie.o

19.0 20.0

22.0

21.. 26.0

28.0 30.0

32.0

31.. 36.0

38.0

1.0.0

1.5. 50,

55. 60, 70.

80.

90, 100.

120,

11.0.

16C. 180.0 20C.0

250. 300.0

350. 4C0.0

1.50.0 500.0

600.0

700,

800. 900, 1000,

1200.

11.00, 1600,

180C,

2000,

2500.

0.1165

0.1081. 0.1117

0.1170

0.1261

0.11.95 0.1835 0.2927

0.5296

0.6321

0.8 61 0.9182

1.021. 1.125

1.223 1.319

1.1.11. 1.507

1.598

1.780

1.959 2.137

2.313

2.1.88 2.662 2.835

3.007

3.179

3.351 3.778 4.203

4.627

5.050

5.891. 6.737 7.578

8.1.18 10.10 11.78

13.1.5 15.13

16.81

21.00 25.18

29.37

33.56

37.75

1.1.91. 50.32

58. 7u 67.07

75.1.5 63.83 100.5

117.3

131..

15J.9 167.6

209.5

251.1.

ISOTHERM DERIVATIVE

CU FT-PSIA/L9

133.0 117.0

93.7 67.6

1.0.2 10.8

0.91.7 0.351.

8.71. 15.1

20.0

2i«. i. 28.1. 32.1

35.6

39.1

1.2. 1. 1.5.6

1.8.8 55.0

61.1 67.1

73.0 78.8

81.. 6 90.3

96.0

102.0 107.0

121. 135.0

H.9.0

162.0 190.0

217.

C

21.1.. 271.0

325.0 378.0 432.0

1.86.0 539.0 673.0

808

91.2 1080

1210

131.0 1610 1880.0

2150.0

21.20.0 2680.0

3220.0

3760.

1.290.0 1.830.0 5360.0 6700.0

3050.0

ISOCHORE DERIVATIVE

PSIA/R

13.1. 26. 31.2

33.0 31.5

21..

18.6

10.9

5.72

4.32

1.1.2 1.30

1.2o

1. 11 1.G4

0.971

0.911. 0.863

0. 818 0.723

0.61.9 0.588 0.538

0.46C

0.1.02 0.357

0. 321 0.267

0. 229

200

176

160

128

107 C914

0. 08G0 0.0711

0. 061.0 C.0533

0. 01.57 0.01.00 0.0356

0.0320

0. 0267 0.0229

0.0200 0.0178

0.0160

0. 0128 0.0107

INTERNAL

ENERGY

3TU/LB

1.381. 1.859

2.366

3.061

3.967

5.1.82 6.711

8.697 11.11

12.1.1.

13.1.9

11.. 1.5 15.31. 16.21

17.05

17.88

18.69

19.1.9

20 .29 21.86

23.1.2 24.97

26.51

28.05

29.58

31.11

32.63

31.. 15 35.66

39.1.1. 1.3.21 46.9 7 50.73 58.22

65.71

-73.18 80.65 95.58

110.5

125.1.

11.0.3 155.2 192.5

229.7

267. C 304. 2 341.5

378.7 453.2

527.6

602.1

676.6

751.1

900.0

10 49.0 1198.0

1347.0 1496.0

1868.0

2240 .0

015

501

48 754

714

368 799 10.43

14.25

16.48

18.27

19.69

21.41 22.87

24.30 25.69

27.07 28.42 29.76

32.41 35.03

37.63 40.21

42.79

45.35

47.90 50.45

52.98

55.52 61.83

68.12

74.39

80.65 93.15

105.6

118.1 130.5 155.4

180.3 205.1

230.0 254.8

316

379

441

503

565 627

751 875.4

1000. c 1124.0

1248.0

1496.0

1744. 3 1992. C 2241.0 2489.0

3110.0

3730.

C

0.3948

C.5O50

6053 7142

8420

035 191 474

875

086 2.244

2.373 2.486

587

679

764

642 915

984 3.111

225 329

425

513 596

673

746

815

880 4.028 4.161

4.280 4.389

4.582

4.749

4.895

5.027 5.253

5.445 5.611

5.757

5.888 6.165

6.391

6.583 6.749

f .895 7.026 7.252

7.443 7.609

7.755

7.886

8.112

8.303

e.469

6.615

6.746 9.023

9.249

6131

4310 4834

5261 5754

6548

7202

7982

7766 0.7583 0.7499

0.7459

C.7440 0.7432 0.7429

0.7430 0.7432 0.7434

0.7437

0.7443

7448 7452

7455 7457 7459

7460

7460 7461

7461 0.7461

0.7460 0.7460 0.7459

0.7457 0.7456

0.7455

0.7454

0.7453

0.7452

0.7451

0.7451

0.7450

0.7450 0.7449

0.7449

0.7449

0.7448

0.7448

0.7448

0.7448

0.7448

0.7448 0.7448

0.7448 0.7448

0.7448

0.7448 0.7448 0.7447

0.7447

CP VELOCITY

OF SOUNO

i -R FT/SEC

0.6243 793.1 0.4936 789.1 0.6272 750.4

0. 8130 695.5 1.158 611.8 2.774 459.5

21.78 364.3 50.57 322.3 2.721 376.6

1.933 421.9

1.685 456.8 1.562 486.4

1.490 512.8

1.442 537.0 1.408 559.4

1.383 580.5 1.364 600.4

1.350 619.5 1.339 637.8 1.321 672.5 1.308 704.9

1.298 735.7

1.290 764.8 1.284 792.7

1.278 819.4 1.274 845.1

1.270 870.0 1.267 894.1 1.265 917.5

1.260 973.3 1.256 1026.0 1.253 1076.0 1.251 1123.0 1.249 1212.0 1.247 1295.0 1.245 1373.0 1.245 1447.0

1.243 1584.0 1.243 1709.0 1.242 1827.0 1.242 1937.0 1.242 2041.0 1.242 2280.0 1.241 2497.0 1.241 2696.0

1.241 2381.0 1.241 3056.0

1.241 3221.0 1.241 3527.0 1.241 3809.0 1.241 4072.0 1.241 4318.0 1.241 4552.0

1.241 4986.0

1.241 5385.0 1.241 5756.0

1.241 6105.

C

1.241 6435-0 1.241 7195.0

TWO-PHASE BOUNDARY
32 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <.

TEMPERATURE DENSITY DEC R L3/CU FT

V(DH/D\M V(DP/DU) -VIOP/DV)^

p v T

3TU/LB PSIA-CU FT/8TU PSIA

i».

a

9.,383 58.1. 5.0 9,.223 20.5

6.0 8 .9it9 16.9

7.0 8 5"»5 11*. 2 6.0 7,.929 11.7

9.0 6..690 8.07 9.288 5 .1*51 6.06 9.288 3,,1.16 5.59

10.0 1,,888 7.85

11.0 1,,1*66 9.88

12.0 1,,2i*l 11.6

13.0 1,,089 13.2

H..0 0,,9768 li*. 8 15.0 0..8889 16.3

16.0 0,,8175 17.7

17.0 0.,7579 19.2 18.0 o,,7073 20.6

19.0 o.,6637 22. C 20.0 0. 6256 23.3

22.0 0,,5618 26.0 Zk.a 0.,5101. 28.7

26. a 0,,1*680 31.1* 28.0 0,,1*321* 31*. 30.0 0,,1*020 36.6

32.0 .3757 39.2

3<t.O 0,,3528 1*1.8 36.0 a,,3325 1*1*. 1* 38.0 0,,311*5 1*6.9

<t0.0 0.,2981* 1*9.5

1.5.0 0,,261*7 55.8

50.0 0,,2379 62.2

65.0 0.,2161 68.5

60.0 0,,1980 71*.

8

70.0 0.,1697 87.3

80.0 0,,11*81* 100.0

90.0 0.,1320 112.0 100.0 0,,1188 125.0 120.0 0,,09903 150.0 140.0 0,,081*92 171*.

160.0 0.,071*31* 199.0 180.0 0.,06610 221*. 200.0 0.,05950 21.9.0 250.0 0,,31*763 311.0

300.0 a,,03971 373.0

350.0 0,,031*01* 1.35.0

1.00.0 0.,02979 1.97.0 1*50.0 0,.0261.9 559.0

500.0 0,,02381* 621.0 600.0 0.,01987 71.5.0

700.0 0.,31701* 870.0

800.0 0,,011*91 991.. 900.0 0.,01325 1120.0

1000.0 0..01193 121.0.0 1200.0 0,.00991*2 11.90.0 lUuC.O 0,,008522 17U0.0 16C0.0 0,,0071.57 1990.0

1800.0 0,,006629 2230.0 2000.0 0,.005966 21*80.0 2500.0 a,,001.773 3100.0

3000.0 0. 003978 3720.0

2.32 1250.0 6.55 1080.0

7.21 838.0 7.35 577.0

6.90 318.0

5.65 72.0

l*.73 5.16

lt.01 1.21

3.90 16.5 3.89 22.1

3.87 21*. 9 3.86 26.6

3.81. 27.7

3.82 28.5

3.81 29.1

3.79 29.6 3.78 30.0 3.77 30.3 3.76 30.5 3.75 30.9

3.71* 31.2 3.72 31.1* 3.71 31.5

3.70 31.7

3.70 31.8

3.69 31.8 3.68 31.9 3.68 32.0 3.67 32.0 3.66 32.1 3.65 32.1 3.65 32.1

3.61. 32.1

3.61* 32.2 3.63 32.2 3.63 32.2 3.62 32.2 3.62 32.1

3.62 32.1 3.61 32.1 3.61 32.1 3.61 32.1 3.61 32.1 3.61 32.1 3.61 32.1

3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0

3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0 3.60 32.0

(DV/DD/V THERMAL VISCOSITY

p CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6 2.76

2.81 2.68

2.1*8 2.21* 1.88

1.61

1.29

1.17

1.20

1.25

1.30 1.36

1.1*2

1.1*7 1.53

1.58

1.61* 1.69 1.79

1.89

1.99 2.08

2.18

2.27

2.35

2.1*1* 2.52

2.60

2.80 2.99

3.17

3.35

3.68 3.99

4. 29

i*.58 5.12 5.63

6.11 6.58

6.91 7.99

9.02

10.0 10.9

11.8 12.7

li*. I*

u..0107 0.,00896

.021*1 0,,0101*

0,,0372 0,,0112 .0572 0,.0118 ,0989 0,,0120

0,,3l«l* 0..0121

3.,60 0,,0227

9.,01* 0,,0389

,31*7 0,,00825

0..196 0,.00808

.11*5 0,,00832

0,.118 0,,00865

.101 0.,00900

0,,0885 0,,00936

0,,0791* 0,,00972

0,,0722 0.,0101

o..0663 0,,0101*

0.,0615 0,,0108

0.,0571* 0,,0111

0,,0507 0,,0117

0,.01*56 0,,0121*

c,.01*11* a,,0129

0,.0379 0.,0135

0..0351 0. 011*1

0,,0326 0.,011*6

0,,0305 0.,0151

0..0286 0,,0157

0..0270 0..0162

0,.0256 0,,0167

0,,0226 a.,0178

0..0202 0.,0190

0,,0183 0,,0201

0,,0167 0,,0212

0,,011.3 0,,0232

o.,0125 a. 0252

0,,0111 0,,0272

0,,0100 0,,0290

0,,00831 0,,0326

0,,00712 0,,0361

0.,00623 0,,0391*

0,.00551. 0,,01.26

0,,001.99 0,,01.57

0,,00399 0,,0532

0,,00333 0..0603

0,.00285 0, 0670

0,,00250 0,,0733

0,,00222 0.,0793

0,,00200 0,,0851

o.,00166 0. 0962

0,,0011*3 a,,107

0,,00125 0,,118

0,,00111 0.,128 ,00100 0.,137

0,,000833 0.,156

0,,000711. 0,,171*

0, 000625 a..191 ,000555 0,,208

0,,000500 0.,221*

0..0001*00 0,,263

0,,000333 0.,299

16.0 17.6

19.1 20.5

23.3

26.0 28-5

31.0

33.1* 39.2

41.. 6

THERMAL DIELECTRIC PRANDTL

1IFFUSIVITY CONSTANT NUMBER

SO. FT/HR

0.00153 1.02056 0.693 0.00229 1.0201.6 0.478 0.00199 1.02027 O.Si.0 0.00169 1.01995 0.617 0.00131 1.01935 0.778

0. 000651 1.01775 1.55 0.000191 1.01562 5.57 0.000225 1.31096 6.05

0.00161 1.00651. 1.39 0.00285 1.00518 1.03 0.00398 1.001.1*3 0.912 0.00508 1.00392 0.81.9 0.00619 1.00353 0.311 0.00730 1.00323 0.736

0.0081.1. 1.03298 0.768 0.00960 1.00277 0.756

0. 0108 1. 00259 0.71.6 0.G120 1.0021*3 0.739

0.0132 1.00230 0.731. 0.G158 1.00207 0.726 0.0185 1.00189 0.721 0.0213 1.00173 0.718

0.021.2 1.00160 0.716 0.0273 1.0011*9 0.711. 0.0301* 1.0011*0 0.713 0.0337 1.00131 0.713

0.0371 1.00121* 0.712

0.01*05 1.00117 0.712

0.01*1*1 1.00111 0.712 0.0535 1.00099 0.712 0.0636 1.00089 0.712

'.071*2 1.00081 0.712

0.0855 1.00071* 0.712

0.110 1.00064 0.711

0.136 1.00356 0.710 0.165 1.00050 0.708

0. 196 1.0001*5 0.706

0.265 1.00037 0.702

0.31*2 1.00032 0.693

0.1*26 1.00028 0.691. 0.519 1.00025 0.691 0.619 1.00022 0.675

0.900 1.00018 0.671

1.22 1.00015 0.669

1.58 1.00013 0.667

1.98 1.00011 0.666

2.1*1 1.00010 0.666

2.88 1.00009 0.667

3.90 1.00008 0.668

5.06 1.00006 0.668 6.35 1.00006 0.668 7.76 1.00005 0.667 9.28 1.00005 0.667

12.7 1.00001* 0.667

16.5 1.00003 0.667

20.7 1.00003 0.666

25.3 1.00003 0.666 30.3 1. 30002 0.666

1*1*. 3 1.00002 0.666

60.6 1.00002 0.666

THO-PHASE BOUNDARY
33 PSIA ISOBAR THERMODYNAMIC PROPERTIES C7 HELIUM It

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY

DERIVATIVE DERIVATIVE ENERGY

EG. R CU FT/L3 CU FT-PSIA/LB PSIA/R 9TU/LP BTU/La

*.0 0.1 61. 131.. 13.1. 1.383 2. 031. 5.0 0. 1083 118.

C

26. C 1.856 2.518

6.0 0.1116 91.. 6 31.2 2.381 3.063

7.0 0.1168 68.5 33.1 3.053 3.767

8.0 0.1258 1.1.2 31.7 3.951 *.720

"3.0 0.11.78 12.1 25.2 5.1.22 6.326

10.0 0.1.980 7.97 6.12 10.96 11.. 00 11.0 0.6521 li..

6

*.5* 12.35 16.33

12.0 0.771.6 19.6 3.76 13.1.3 18.16

13.0 0.881.7 21.. 3.26 li.. 39 19.80

lit.O 0.9879 28.1 2.90 15.30 21.33

15.0 1.087 31.8 2.62 16.17 22.81

16. C 1.183 35.1. 2.1.0 17.01 21.. 21. 17.0 1.276 38.9 2.21 17.61. 25.61. 18.0 1.368 1.2.2 2. 06 18.66 27.02

19.0 1.1.58 1.5.5 1.93 19.1.6 28.37

20. 1.51.8 1.8.6 1.81 20.26 29.71

22.0 1.721. 51..

9

1.62 21.83 32.37

2*.o 1.898 61.0 1.1.7 23.1.0 31.. 99 26.0 2.071 67.0 1.31. 2i«. 95 37.60

28.0 2.21.2 72.9 1.21. 26.1.9 1.0.19 30.0 2.1.12 78.7 1.15 28.03 1.2.76 32.0 2.580 81..

5

1.07 29.56 1.5.33 3*.0 2.71.8 90.3 1.00 31.09 1.7.88 36.0 2.916 95.9 0. 9*3 32.61 50.1.3 38.0 3.383 102.0 0. 891 31.. 13 52.97

".0.0 3.21.9 107.0 O.Si.1. 35.65 55.50

1)5.0 3.651. 121.0 0.71.6 39.1.3 61.82

50.0 1..Q76 135.0 0.669 1.3.20 68.11

55.0 *.*87 11.9.0 0.607 1.6.96 71.. 38 60.0 -.898 162.0 0.555 50.72 8 0.65 70.0 5.717 190.0 0.1.71. 58.21 93.15

80.0 6.531. 217.0 0.1.11. 65. 7C 105.6

90.0 7.31.9 21.1.. 0.368 73.18 118.1

1CO.0 8.161. 271.0 0.331 80.65 133.5

120.0 9.793 325.0 0.275 95.58 155.1.

11.0.0 11.1.2 378.0 0.236 110.5 180.3

160.0 13.05 1.32.0 0.206 125.1. 205.1

180.0 li.. 67 1.86.0 0.183 11.0.3 230.3

200.0 16.30 539-0 0.165 155.2 251..

8

250.0 20.36 671.. 0.132 192.5 316.9

300.0 21.. 1.2 808.0 0.110 229.7 379.0 350.0 28.1.9 942.0 0.091.3 267.0 1.1.I.O 1.00.0 32.55 1080.0 0.0825 301..

2

503.1

1.50.0 36.61 1210.0 0.0733 31.1.5 565.?

500.0 1.0.67 131.0.0 0.0660 378.7 627.2

600.0 1.8.79 1610.0 0.0550 1.53.2 751.3

700.0 56.92 1880.0 0.01.71 527.6 875.5

800.0 65.0". 2150.0 0. 01.12 602.1 1000.3

900.0 73.17 21.20.0 0.0367 676.6 112i«. 1000. 81.29 2680.0 C.0 3 30 751.1 121.8.0 1200.0 97.51. 3220.0 0. 0275 900.0 11.96. :• 11.00.0 113.8 3760.0 0.0236 101.9.0 171.1..

3

1600. 130.0 1.290.0 0. 3206 1198.0 1992.0

1800.0 11.6.3 1.830.0 0.0183 131.7.0 221.1.0 2000.0 162.5 5360.0 0. 3165 11.96.0 21.89.0 2500.

U

203.1 670C.0 0. 0132 1868.0 3110.0 3000.0 21.3.8 8050.0 0.0110 221.1.0 3730.

G

0.391.5

0.501.3

O.6O1.1. 0.7129 0.8398

1.027

1.81.0 2.063

2.222

2.351.

1.67 569

661

71.6 825

899 967

3.091. 3.208 3.313

3.1.09

3.1.97 3.580 3.658

3.730 3.799

3.861.

it. 013

<.. 11.5 *.265 *.37*

*.567 *.733

•.880 5.011

5.238

5.1.30 5.596

5.71.2 5.873

6.150 6.376

6.568

6.733 6.879

7.010 7.237

7.1.28

7.591.

7.71.0 7.871 6.097

8.288

8.1.51. 8.600

8.731 9.008

9.231.

6107

1.306

1.831 5257

571.6 6517

7781. 7591 7503

71.60

0.71.1.0 0.71.32 0.71.29

71.30 71.32

71.31. 71.37

71.1.2

71.1.8 7it52

0.71.55

0.71.58 0.71.59

0.71.60 0.71.61

0.71.61

0.71.61

0.71.61

0.71.61

0.71.60 0.71.59

0.71.58

0.71.57

0.71.55 0.71.55

0.71.53

0.71.52

0.71.52

0.71.51

0.71.51

0.71.50

.71.1.9 .71.1.9

.71.1.9 .71.1.9

.71.1.8 .7**8

0.7**8 0.7**8 0.7**8

0.7**8

7**8

7**8

7**8

7**8 7**8

7**7 0.7**7

CP VELOCITY

OF SOUNO

-R FT/SEC

0.6219 795.* 0.*929 791.* 0.6257 753.2 0.8093 698.9

1.1*5 616.6 2.561 *69.6

2.936 373.1 1.985 *19.9

1.710 *55.*

1.578 *85.* 1.501 512.0

l.*50 536.3

l.*15 558.9

1.389 580.1 1.369 600.1 1.35* 619.3

1.3*2 637.6

1.32* 672.*

1.310 705.0 1.300 735.7

1.292 765.0 1.285 792.8

1.280 619.6 1.275 8*5.3

1.271 870.2 1.268 89*.

3

1.265 917.8

1.260 973.6 1.257 1026.0 1.25* 1076.0

1.252 112*. 1.2*9 1213.0 1.2*7 1296.0 1.2*6 137*. 1.2*5 1**7.0 1.2*3 158*. 1.2*3 1710.0 1.2*2 1827.0 1.2*2 1937.0

1.2*2 20*1.0 1.2*2 2280.0

1.2*1 2*97.0 1.2*1 2696-0 1.2*1 2882.0 1.2*1 3056.0

1.2*1 3221.0 1.2*1 3527.0

1.2*1 3809.0

1.2*1 *072.0

1.2*1 *319.0

1.2*1 *552.0 1.2*1 *986.0

1.2*1 5385.0 1.2*1 5756.0 1.2*1 61C5.C 1.2*1 6*35.0

1.2*1 7195.0

1.2*1 7861.0

TWO-PHASE BOUNDARY

64
33 PSIA ISOBAR

THERMOPHYSICAl PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

DEG. R L8/CU FT

VIDP/DU) -VIDP/DV) BTU/L8 PSIA-CU FT/BTU PSIA(DV/DTI/V THERMAL

P CONDUCTIVITY

1/OEG. R 3TU/FT-HR-R

4 9 395 58.7

5 9 232 20.7

6 6 96] 17.0

7 8 560 14.3

6 7 952 11.6

9 6 765 8.33

1C 2 008 7.68

11 1 53*. 9.76

12 1 291 11.5

13 1 13] 13.2

14 1 012 li(.7 15 9232 16-2

16 81)56 17.7

17 7836 19.1

18 7309 20.5

19 6857 21.9

20 6461 23.3

22 58 26.

C

24 5268 28.7

26 1(8 3 31.3

26 4461 34.0

30 1(11)7 36.6

32 3875 39.2

34 3638 41. 8 36 31(29 44.4

36 32l(l( 46.9

ifO 3078 49.5

1.5 2730 55.8

5C 21)53 62.2

55 2228 68.5

6C 201)2 74.8

7C 171)9 87.3

60 1531 100.0

90 1361 112.0

100 1225 125.0

120 1021 150.0

14C 08757 174.0

160 07665 199.

180 06816 224.0

200 06136 249.0

250 01)911 311.0

300 01)091) 373.

C

350 03511 435.0

4u0 03072 497.0

450 02732 559.0

5C0 021)59 621.0

600 0201(9 746.0

70C 01757 670.0

eoG 01537 994.0

900 01367 1120.0

10C0 a 01230 1240.0

1200 01025 1490.0

14CC 308789 1740.0

1600 007690 1990.0

180C 006836 2230.0

2000 0J6153 2480.0

2500 001(923 3100.0

3000 00<)102 3720.0

2.33 1260.0 6.55 1090.

J

7.21 847.0 7.3o 536.0 6.93 328.0 5.72 82.0 3.91 16.0 3.90 22.3 3.68 25.4 3.56 27.2

3.85 28.4 3.83 29.3 3.81 29.9 3.83 30.5 3.79 30.9 3.78 31.2 3.77 31.4

3.75 31.8 3.74 32.1 3.73 32.3 3.72 32.5 3.71 32.7

3.70 32.8 3.69 32.8 3.69 32.9 3.68 33.0 3.67 33.

u

3.66 33.1 3.66 33.1 3.65 33.1 3.64 33.2 3.64 33.2 3.63 33.2

3.63 33.2 3.62 33.2 3.62 33.1 3.62 33.1

3.61 33.1 3.61 33.1

3.61 33.1 3.61 33.1 3.61 33.1

3.61 33.1 3.60 33.0 3.60 33.0 3.6 33.0

3.60 33.0 3.60 33.0 3.60 33.0 3.60 33.0

3.60 33.0 3.60 33.0 3.60 33.0

3.60 33.0 3.60 33.0 3.6) 33.0 3.63 33.0

0106 00896

0239 0104

0366 0112

0565 one

0967 0120

307 0121

382 00845

203 00815

148 00836

123 66 8

102 00903 0894 00939

0800 00974

0727 0101 0667 0104 0618 0108 0576 0111 0509 0117

0457 0124

0415 0130

0360 0135

0351 0141 0326 0146

0305 G 0152 0287 0157

0270 0162 0256 0167

0226 0179

0202 0190 0183 0231

0167 0212

0143 0233 0125 0252

0111 0272

010O 0290 00831 C326

0. 00712 0361 00623 0394 00554 0426 0C499 0457 00399 0532 00333 0603 00285 0670 00250 0733 00222 0793

0. 00200 0851 00166 0962 00143 107 00125 118 00111 128

00100 137

3 003833 156

C03714 174 000625 191 C00555 206 000500 224

a 000400 263 000333 299

SCOSITY THERMAL DIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER /FT-3EC SQ FT/HR

X 10E+6 2.77 0.00153 1.02056 0.692

2.82 0.00229 1.02046 0.479

2.69 0.00200 1.02028 0.540 2.49 0.00170 1.01996 0.616

2.25 0.00132 1.01938 0.771

1.93 0.0G0696 1.01786 1.45

1.18 0. 00143 1.00692 1.48

1.21 0.00268 1.00540 1-06

1.26 0.00379 1.00460 0.926

1.31 0.00487 1.00406 0.658

1.37 0.00594 1.00365 0.817

1.42 0.00703 1.00334 0.791 1.48 0.00814 1.00308 0.772

1.53 0.00927 1.O0286 0.759

1.59 0.0104 1.00267 0.749 1.64 0.0116 1.00251 0.742

1.69 0.0128 1.00237 0.736

1.79 0.C153 1.00214 0.728

1.89 0.0179 1.00194 0.723 1.99 0.0206 1.00179 0.719 2.09 0.0235 1. 00165 0.717

2.18 0.0264 1. 00154 0.715

2.27 0.0295 1.00144 0.714 2.36 0.0327 1.00135 0.713 2.44 0.0359 1.00128 0.713

2.52 0.0393 1.00121 0.713 2.61 0.0428 1.00115 0.712

2.80 0.0519 1.00102 0.712 2.99 0.0616 1.00092 0.712 3.17 0.0720 1.00083 0.712

3.35 0.0629 1.00076 0.712

3.68 0.106 1.00066 0.711 3.99 0. 132 1.00057 0.710 4.29 0.160 1.00051 0.706 4.58 0. 190 1.00046 0.706 5.12 0.257 1.00038 0.702 5.63 0.331 1.00033 0.698

6.11 0.414 1.00029 0.694

6.58 0.503 1.00026 0.691

6.91 0.600 1.00023 0.675 7.99 0.873 1.00019 0.671 9.02 1.19 1.00015 0.669

10.0 1.54 1.00013 0.667

10.9 1.92 1.00012 0.666

11.8 2.34 1.00010 0.666

12.7 2.79 1.00009 0.667

14.4 3.78 1.00006 0.668

16.0 4.91 1.00007 0.668

17.6 6.16 1.00006 0.668

19.1 7.52 1.00005 0.667

20.5 9.00 1.00005 0.667

23.3 12.3 1.00004 0.667

26.0 16.0 1.00003 0.667

26.5 20.0 1.00003 0.666

31.0 24.5 1.00003 0.666

33.4 29.4 1. 00002 0.666

39.2 43.0 1.00002 0.666 44.6 58.8 1.00002 0.666

TWO-PHASE BOUNDARY
34 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM It

TEMPERATURE VOLUME

OEG. R CU FT/L

4.0 J. 1363

5.0 0.1082

6.0 0.1115

7.0 0.1166

8.0 0.1251. 9.0 0.11.63 ICO 3.4672

11.0 J. 6236

12.0 0.7". i»9 13.0 0.8530

11.. 0.951.1 15.0 1.051

16.0 1.11.1. 17.0 1.235

18.0 1.325

19.0 1.1.13 2C.0 1.500

22.0 1.671

Zk.il 1.81*1 26.0 2.008

28-0 2.175

30. 2.31.0 32.0 2.501. 34.0 2.667

36.0 2.830

36.0 2.992

<t0.0 3.151. 45.0 3.556

50.0 3.957 55.0 4.356

60.0 4.754

70.0 5.51.9 80.0 6.31*2 90.0 7.131. 100.0 7.925

120.0 9.506

11.0.0 11.09

16G.0 12.66

180.0 14.24

200.0 15.82

250.0 19.76

300.0 23.71 350.0 27.65

1*0 0.0 31.59

1.50. 35.53

500. 39.1.8 600.0 1.7.36 700.0 55.25

800.0 63.13

900. 71.01 1000.0 78.90

1200.0 91.. 67

11.00.0 110.1. 1600.0 126.2 1800.0 11.2.0 2000.0 157.7 250C.0 197.2

ISOTHERM DERIVATIVE

CU FT-PSIA/LE

135.0

119.0

95.1. 69. <» 1.2.2

13.1. 7.18

11.. 19.2

23.7

27.8 31.6

35.2 38.7

1.2.0 1.5.3

1.8.5

51*.

8

60.9

66.9

72.8

78,

Bit, 90.

95, 102,

107,

121.0

135.0

11.9.0 162.0

190.0 217.0

21.1.. 271.0

325.0 378.0

1.32.0

1.86.0

51.0.0

671.. 808.0

91.2.0 1080.0

1210.0

131.0.0 1610.

C

1880.0 2150.0

21.20.0 2680.0

3220.0 3760.0

1.290.0

1.830.0 5360.0 6710.0

6050.0

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY

PSIA/R BTU/LB BTU/L3

13.3 1.383 2.052

26.0 1.853 2.535

31.3 2.377 3.079

33.2 3.01.5 3.779

31.8 3.936 It. 726 25.6 5-369 6.290

6.56 10.79 13.73

4.76 12.25 16.18

3.92 13.36 18.05

3.39 lit. 33 19.70

3.01 15.25 21.25

2.71 16.12 22. 74

2.1.8 16.97 24.18

2.29 17.80 25.58

2.13 18.62 26.97

1.99 19.it3 28.32

1.87 20.23 29.67

1.67 21.81 32.33

1.51 23.37 34.96

1.33 2 it. 92 37.57

1.28 26.1.7 40.16

1. 18 28.01 42.74

1.10 29.51. 45.31

1.03 31.07 47.86

0.972 32.60 50.41

0.918 31.. 12 52.95

0. 870 35.63 55.49

0.769 39.1.2 61.81

0.69C 1.3.19 68.10

0.625 1.6.95 74.38

0.572 50.71 80.64

0.1.89 58.21 93.15

0.1.27 65.69 105.6

0. 379 73.17 118.1

0.31.1 80.61. 130.5

0.281. 95.5/ 155.4

0.21.3 110.5 180.3 0.213 125.1. 235.1

C.189 Ili0.3 230.0

0.170 155.2 254.8

0.136 192.5 316.9

0.113 229.7 379.0 0.0971 267.0 441.3 0.0850 30it.2 503.1 0.0755 31.1.5 565.2 0.0660 378.7 627.2

0.0567 1.53.2 751.3

0.01.86 527.6 875.5

0.01.25 602.1 1000. 3 0.0378 676.6 1124.0

0.031.0 751.1 1248.0 0.0283 900.0 1496.0

0. 021.3 101.9.0 1744.3

0. 0212 1198.0 1992. 0.0189 13U7.0 2241.0

0.0170 11*96.0 2489.0

0.0136 1868.0 3110.0

.3941

.5037

.6035

.7117 .8376

.020 .804

.039 2.201 2.334

.449

.551 .644

.729

.809

.882 2.951

3.078 3.193

3.297

3.393 3.482

3.565

3.642

3.715 3.784

3.849

3.998 4.130

4.250 4.359 4.552

4.718

4.865 4.996

5.223

5.415

581

727 858 135

361 553

718

865 995

222 7.413

7.579

7.725 7.856

8.082 8.273

6.439

8.585

B.716

6.993

9.219

0.6084

0.4303

0.4328 0.5253

0.5739

0.6490 0.7801

0.7599

0.7506

0.7462

.7441

.7432 .7429

.7429 .7431 .7433 0.7436

0.7442

0.7448 0.7452

0.7456

0.7458 0.7459

C.7460 0.7461 0.7461

0.7462

7462 7461

7460

7460 7458 7457

7456

7455 7453

7452 0.7452 0.7451 0.7451

0.7450 0.7449 C.7449

0.7449 0.7449

0.7448

0.7448 0.7448

0.7448

0.7448

0.7448 0.7446

0.7448

0.7448

0.7446

0.7448 0.7448

0.7447

CP VELOCITY

OF SOUNO

-R FT/SEC

0,,6194 797.6

0,,4920 793.8

0,,6242 755.9

0,,8057 702.4

l,.133 621.3

2..394 479.1

3.,236 369.6

2,,042 417.8

1 ,737 453.9

1,,594 484.3

1,.512 511.2

1,,458 535.7

1..421 558.4

1,,394 579.7

1,,373 599.9

1,,358 619.1

1,,345 637.5

1,,326 672.3

1,,313 705.0

1,,302 735.8

1,.293 765.1

1,,286 793.0

1,,261 819.8

1,,276 845.5

1,,272 870.4

1,,269 894.6

1,,266 918.0

1,,261 973.9

1,,257 1026.0

1,,254 1076.0

1..252 1124.0

1,,249 1213.0

1,,247 1296.0

1,,246 1374.0

1,,245 1447.0

1,,244 1584.0

1,,243 1710.0

1..242 1827.0

1..242 1937.0

1,,242 2041.0

1,,242 2280.0

1,,241 249 7.0

1,,241 2696.0

1,.241 2882.0

1..241 3056.0

1,.241 3221.0

1,,241 3527.0

1..241 3809.0

1..241 4072.0

1. 241 4319.0

1. 241 4552.0

1. 241 4986.0

1. 241 5385.0

1. 241 5756.0

1. 241 6105.0

1. 241 6435.0

1. 241 7195.0

1. 241 7881.0

THO-PHA3E 90UN0ARY
THtRMOPHYSICAL PROPERTIES OF HELIUM it

3 "t PSIA ISOBAR

TEMPERATURE DENSITY

DEG. R L3/CU FT

VIOH/OV) VIDP/OU) -V<OP/DV)

p v 1 3TU/L3 PSIA-CU FT/3TU PSIA

(OV/DT1/V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 1CE + 6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

it.

a

9.403 58.9 2.33 1270.0 0.0105 0.00897 2.78 0.00154 1. 32056 0.691

5.0 9.241 20.8 6.55 1100.0 0.0237 0.0105 2.83 0.00230 1. 02047 0.479

6.0 8.971 17.1 7.22 856.0 0.0365 0.0112 2.70 0.00200 1.02029 0.540

7.0 8.574 14.4 7.38 595.0 0.0 55 8 0.0118 2.50 0.00171 1.01998 0.614

e.o 7.975 12.0 6.95 337.

U

0.0945 0.0121 2.26 0.00133 1. 01940 0.765

9.0 6.834 8.58 5.78 91.8 0.279 0.0121 1.92 0.000737 1.01796 1.37

10.0 2. 140 7.50 3.93 15.4 0.427 0.00873 1.20 0.00127 1.00733 1.59

11.0 1.604 9.64 3.91 22.5 0.212 0.00823 1.22 0.00251 1.00563 1.09

12.0 1.342 11.4 3.89 25.8 .152 0.00841 1.26 0.00361 1.00477 0.940

13.0 1.172 13.1 3.87 27.8 0.122 0.00872 1.32 0.00466 1.00420 0.867

l<t.O 1.048 14.6 3.85 29.1 0.103 0.00906 1.37 0.00572 1.00378 0.824

15.0 0.9518 16.1 3.84 30.1 0.0903 0.00941 1.43 0.00678 1.00345 0.796

16.0 0.8740 17.6 3.82 30.8 0.0807 0.00976 1.48 0.00786 1.00318 0.776

17.0 0.8094 19.1 3.81 31.3 0.0731 0.0101 1.54 C. 00896 1.00295 0.762

16.0 0.7347 20.5 3.79 31.7 0.0671 0.0105 1.59 0. 0101 1.30276 0.752

19.0 0.7077 21.9 3.78 32.1 0.0621 0.0108 1.64 0.0112 1.00259 0.744

20.0 0.6667 23.2 3.77 32.3 0.0579 0.0111 1.73 0. 0124 1. 00245 0.738

22.0 0.5333 26.0 3.76 32.8 0.0511 0.3118 1.80 0.C148 1. 03220 0.730

24.0 0.5432 28.7 3.74 33.1 0.0458 0.0124 1.90 0.0174 1.00200 0.724

26.0 0.4979 31.3 3.73 33.3 0.0416 0.0130 1.99 0.0200 1.00184 0.720

28.0 0.4598 34.0 3.72 33.5 0.0381 0.0135 2.09 0.0228 1.00170 0.718

3C.0 0.4274 36.6 3.71 33.6 0.0352 0.0141 2.18 0.0257 1.00158 0.716

32.0 0.3994 39.2 3.70 33.7 0.0327 0.0146 2.27 0.G286 1.00148 0.715

3<t.O 0.37*9 41.8 3.69 33.8 0.0335 0.3152 2.36 0.0317 1. 00139 0.714

36.0 0.3534 44.4 3.69 33.9 0.C 28

7

0.0157 2.44 0.C349 1.00131 0.713

38.0 0.3342 46.9 3.68 34.0 0.0273 0.0162 2.53 0.0382 1.00124 0.713

it 0.0 0.3171 49.5 3.68 34. u 0.0256 0.0167 2.61 0.0415 1.00118 0.713

<t5.0 0.2812 55.8 3.67 34.1 0.0226 0.0179 2.81 0.0504 1.00105 0.713

50.0 0.2527 62.2 3.66 34.1 0.02C2 0.0190 2.99 0.0599 1.00094 0.712

55.0 0.2296 68.5 3.65 34.1 0.0183 0.0201 3.17 0.0699 1.00086 0.712

60.0 0.2103 74.8 3.65 34.2 0.0167 0-0212 3.35 0. 0805 1.00079 0.712 70.0 0.1802 87.3 3.64 34.2 0.0143 0.0233 3.63 0.103 1.00068 0.711

80.0 0.1377 100.0 3.63 34.2 0.0125 0.0253 3.99 0.128 1.00059 0.710

90.0 0.1402 112.0 3.63 34.2 0.0111 0.0272 4.29 0.156 1.00053 0.708

10G.0 0.1262 125.0 3.62 34.2 0.0100 0.0290 4.58 0.185 1.00047 0.706

120.0 0.1052 150.0 3.62 34.2 0.00831 0.0 3 26 5.12 0.249 1.00040 0.702

140.0 0.09021 175.0 3.62 34.1 0.00712 0.0361 5.63 0.322 1.00034 0.698 160.0 0. 07396 199.0 3.61 34.1 0.00623 0.0394 6.11 0.402 1.00030 0.694

180.0 0. 07021 224.0 3.61 34.1 0.00554 0.0 426 6.58 0.489 1.00026 0.691

200.0 0.06321 249.0 3.61 34.1 0.00499 0.0457 6.91 0.583 1.00024 0.675

250.0 O. 05063 311.0 3.61 34.1 0.00399 0.0532 7.99 0.847 1.00019 0.671

300. 0.04218 373.0 3.61 34.1 0.00333 0.0603 9.02 1.15 1.00016 0.669

350.0 0.03617 435.0 3.61 34.1 0.00285 0.0670 10.0 1.49 1.00014 0.667

4CC.0 0.03165 497.0 3.60 34.1 0.0025D 0.0733 10.9 1.87 1.00012 0.666

ii50.0 0.02814 559.0 3.60 34.0 0.00222 0.0793 11.8 2.27 1.00011 0.666

500.0 0.02533 621.0 3.60 34.0 0.0020C 0.0851 12.7 2.71 1.00010 0.667

60G.0 0.02111 746.0 3.63 34.0 0.00166 0.0962 14.4 3.67 1.30008 0.668

70C.0 0.01810 870.0 3.60 34.0 0.0C143 0.107 16.0 4.77 1.00007 0.668

800.0 0.01584 994.0 3.60 34.0 0.00125 0.118 17.6 5.98 1. 00006 0.668

90C.0 0.01408 1120.0 3.60 34.0 0.00111 0.128 19.1 7.30 1. 0O0O5 0.667

1000. D 0.01267 1240.0 3.60 34.0 0.0010G 0.137 20.5 6.73 1.00005 0.667

1200.0 0.01056 1490.0 3.60 34.0 0.000833 0.156 23.3 11.9 1.00004 0.667 1400.0 0.009055 1740.0 3.60 34.0 0.000714 0.174 26.0 15.5 1.00003 0.667

1600.0 0.0 J7923 1990.0 3.60 34.0 0.000625 0.191 28.5 19.5 1. 00003 0.666

1800.0 0.007043 2230.0 3.60 34.0 0.000555 0.208 31.0 23.8 1. 30003 0.666

200C.0 0.005339 2480.0 3.60 34.0 0. 000500 0.224 33.4 28.5 1. 00002 0-666 2500.0 0. 005072 3100.0 3.60 34.0 0. 003400 0.263 39.2 41.7 1.00302 0.666

30v>C'.G 0.034227 3720.0 3.60 34.0 0.000333 0.299 44.6 57.0 1.00002 0.666

THO-PHASE BOUNDARY
35 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

EMPERATURE VOLUME DEC R CU FT/L

4.0 0.1063

5.0 0.1381

6.0 0.1113

7.0 0.1L6<. e.o 0.1250

9.0 0.1450

10.0 0.1.371 11.0 0.5966

12.0 0.7168

13. u j.8232

14.0 0.9222

15.0 1.017

16.0 1.108 17.0 1.137

18.0 1.231. 19.0 1.370 2C.0 1.1.55 22.0 1.622

24.0 1.797

26. 1.950 28.0 2.112

30.0 2.272

32.0 2.1.32

3<f .a 2.591

36.0 2.71*9 38.0 2.906

1)0.0 3.063

".5.0 3.1*55 5C.0 3.8i*i» 55.0 4.232

60.0 l*.619 70.0 5.392

80.0 6.162

90.0 6.932 100.0 7.700

120.0 9.236

1*0.0 10.77 160.0 12.30

lec.o 13.81* 200.

u

15.37 250.0 19.20 30C.0 23.03

350.0 26.86

400. Q 30.69

it5C.O 31*. 52 500.0 38.35

600.0 1*6.01 700.0 53.67

800.0 61.33 900.0 68.93 1000.0 76.65

1200. 91.97

14 u 0. J 107.3

1600.0 122.6

1800. 137.9 20GC.0 153.2 2500.0 191.5 3000.0 229.8

ISOTHERM ISOCHORE DERIVATIVE DERIVATIVE

;u FT-PSIA/L3 PSIA/R

INTERNAL ENERGY

8TU/LB

136

120

96

70

1.3 11.61318.8

23.<t

27.5

72.8

78.6

84. 5 90.2

95.9

102.0

107.0

121.

135,

149. 162,

190, 217,

244, 271,

325, 379.0

432. 486.0

540.0 674.0

808.0 942.0

1080.0

1210.0 1340.0

1610.0

1880.0

2150.0 2420.0 2680.0

3220.0

3760.0 4290.0

4830.0 5360.0

6710.0

8050.0

13.3

26.0 31.3

33.3

32.0

26.0

7.06

5.0G

4. 09 3.52

3.12

2. 81 2.57

2.37

2.20

2. 06 1.93

1.73 1.56

1.43

1.32 1.22

1. 14 1.06

1.00 0.946

0.896

0.792

0.710 0.644 0.589

0. 503 0.440 0.390

0.351 0.292

0.25C 0.219

0.195

0.175

0. 140 0.117

0. IOC

0. 0875 C.0778

0. 0700 0.0583

0. 0500 0.0437

3. 0389

0. 0350 0.C292

0.0250 0.0219

0. 0194 0.0175

0.0140

0. 0117

,382

,851

,372 ,037 922

.319

111. 60 12.16

13.29

14.26

15.20 16.08 16.93

17.77 16.59

19.40

20.20 21.78

23.35

24.90 26.45 27.99

29.53

31.06

32.58

34.10 35.62

39.41 43.18

46.94

50.70

58.20 65.69

73.17 80.64

95".57 110.5

125.4 140.3

155.2

192.5

229.7

267.0

304.2

341.5 378.7 453.2

527.6

602.1 676.6

751.1

900.0 1049.0

1198.0

1347.0

1496.0

1868.0 2241.0

071 552

094

792

732 259 13.43

16.02 17.93

19.61

21.18 22.67

24.11 25.53

26.92

28.28 29.63

32.29 34.93

37.54

40.13

42.72 45.29

47.85

50.40 52.94

55.48

61.80 68.09

74.37 80.64 93.14

105.6

118.1 130.5 155.4

180. 3 205.1

230.0 254.8

316.9

379.0

441.1 503.1

565.2

627.2

751.4

875.5

1000.0 1124.0

1248.

3

1496.0 1744.0

1993.

C

2241.3

2489.

:

3110.0 3730.0

.3938

.5033

.6026 .7104

.8355

.014 1.766 2.014

2.180 2.315

431 534

627 713

792 866 935

062

177

282 3.378

3.467

3.550 3.627

3.700

3.769 3.834

3.983 4.116

4.235

4.344

4.537

4.704

4.851

4.982

5.209

5.400 5.566

5.713 5.844

6.121

6.347 6.538

6.704

6.850 6.981

7.207 7.399

7.564 7.711

7.841

8.068

8.259 8.425

8.571

8.702 8.979 9.205

6060

4300 4826

5250

5732 6465

7816

7607

7510 0.7464

0.7441

0.7432 0.7429

0.7429

0.7431

0.7433 0.7436

0.7442

0.7448

0.7452

0,0,

0,0,

0.0.

0,

0.

0.0,

0.

0,

o.

0.c.

0,0.

o.o.0.

0,0.

0.0.

0.0.0.7448

7456

7458

7460 7461

7461

7462

7462

7462

7461 7461

7460 7458

7457 7456

7455

7454

7453 7452

7451

7451

7450 7449

7449

7449

7449

7448

.7448

.7448 .7448

.7448

.7448

.7448 .7448 0.7448 0.7448

0.7448 0.7447

CP VELOCITY

OF SOUNO

-R FT/SEC

0.6i70 800.1 0.4912 796.2 0.6227 758.7 0.8023 705.8 1.122 626.0

2.260 488.1

3.549 366.2 2.104 415.8

1.765 452.6 1.611 483.3

1.523 510.5 1.467 535.1

1.428 558.0 1.399 579.3

1.378 599.6

1.362 618.9 1.349 637.3 1.329 672.3 1.315 705.0 1.304 735.9 1.295 765.2 i.2es 793.1

1.282 819.9 1.277 845.7 1.273 870.7

1.270 894.6 1.267 918.2 1.261 974.1 1.257 1027.0 1.255 1077.0 1.252 1124.0 1.249 1213.0 1.247 1296.0 1.246 1374.0 1.245 1448.0 1.244 1584.0

1.243 1710.0 1.242 1827.0 1.242 1937.0

1.242 2041.0 1.242 2281.0 1.241 2497.0 1.241 2696.0 1.241 2882.0 1.241 3056.0 1.241 3221.0

1.241 3527.0

1.241 3810.0 1.241 4072.0 1.241 4319.0 1.241 4552.0 1.241 4986.0 1.241 5385.0 1.241 5756.0 1.241 6105.0 1.241 6435.0 1.241 7195.0 1.241 7881.0

THO-PHASE 30UN0ARY

68
THERMOPHYSICAL PROPERTIES OF HELIUM 4

35 PSIA ISOBAR

TEMPERATURE DENSITY VCOH/OV) VCDP/DU) -VIOP/DVK

p v 1 OEG. R LB/CU FT BTU/LB PSIA-CU FT/BTU PSIA

it.n 9. 411 59.2

5.0 9.21.9 20.9

6.0 8.962 17.2

7.0 8.589 14.5

e.o 7.998 12.1

9.0 6.897 6.61 10.0 2.288 7.33

11.0 1.676 9.52

12.0 1.395 11.3

13.0 1.215 13.0 14.0 1.081. 14.6

15.0 0.9836 16.1

16.0 0.9025 17.6 17.0 0.8353 19.0

18. 0.7785 20.1. 19.0 0.7299 21.8

20.0 0.6871. 23.2

22.0 0.6165 25.9

24.0 0.5597 28.6 26.0 0.5128 31.3

26.0 0.1.736 33.9

30.0 0.1.1.01 36.6

32.0 0.1*112 39.2

34.0 0.3860 1.1.8 36.0 0.3638 .!..

3

36.0 0.31.1.1 1.6.9 40.0 0.3261. 1.9.5

45.0 0.2895 55.8

50.0 0.2601 62.2

55.0 0.2363 68.5 60.0 0.2165 71..

8

70.0 0.1855 87.3

80.0 0.1623 100.0

90.0 0-11.1.3 112.0 100.0 0.1299 125.0

120.0 0.1083 150.0

1 "tO.O 0.09285 175.0 160.0 0.08128 199.0

180. 0.07227 221.. 200.0 0.06506 249.0 250-0 0.05208 311.0

300.0 0.01.31.2 373.0 350.0 0.03723 1.35.0 400.0 0.03256 1.97.0

<»50.0 0.02897 559.0

500.0 0.02608 621.0 600.0 0.02173 71.6.0 700.0 0.01863 870.0

800.0 0.01631 991.. 900.0 0.011.50 1120.0 1000.0 0.01305 121.0.0 1200.0 0.01087 11.90.0 l<t00.0 0.009321 17U0.0 1600.0 0.008156 1990.0

180C.0 0.007250 2230.0

2000.0 0.006526 21.80.0 2500.0 0.305221 3100.0 3000.0 0.001.351 3720.0

2.31. 1280. 6.54 1110.0 7.22 865.0 7.39 601.. 6.98 346.0

5.81. 101.0 3.95 14.6 3.92 22.6

3.90 26.2 3.88 28.1. 3.86 29.8

3.81. 30.8

3.83 31.6 3.81 32.1 3.80 32.6 3.79 32.9 3.78 33.2 3.76 33.7 3.75 34.0 3.74 34.3

3.72 34.5 3.71 34.6 3.71 34.7

3.70 34.8 3.69 34.9 3.68 34.9 3.68 35.0 3.67 35.1 3.66 35.1 3.65 35.2 3.65 35.2

3.61. 35.2 3.63 35.2 3.63 35.2

3.63 35.2 3.62 35.2 3.62 35.1 3.61 35.1 3.61 35.1 3.61 35.1 3.61 35.1 3.61 35.1 3.61 35.1 3.60 35.1 3.60 35.0 3.60 35.0 3.60 35.0 3.60 35.0 3.60 35.0 3.60 35.0 3.60 35.0 3.60 35.0 3.60 35.0

3.60 35.0 3.60 35.0

3.60 35.0

3.60 35.0

(DV/DT1/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

2.79

2.64

2.71

2.51 2.27

1.94

1.22

1.23

1.27 1.32

0. 0104 0.,00898

0..0235 0,.0105

0,.0362 0.,0112

0,.0551 0,,0118

0,.0925 0..0121

0..257 0,.0121

0,,484 0,,00901

0,.221 0,,00831

0,.156 0,,00846

0,.124 0,,00875

0,.105 0,.00909

0.,0912 0.,00944

o..0813 D,,00979

0,,0736 0,,0101 .0674 0,.0105

0.,0624 0,,0108

0..0581 0,.0111

0,,0513 0,,0118

0,,0459 0.,0124

0,,0417 0,,0130

0,,0382 0,,0136

0,,0352 0,,0141

0.,0327 0,,0147

0,,0306 0,,0152

0.,0287 0.,0157

0.,0271 0.,0162

0,,0256 0,,0167

0.,0226 0.,0179

0,,0202 0,.0190

0. 0183 0. 0201

,0167 0,.0212

0.,0143 0.,0233

0,,0125 0,,0253

0,,0111 0.,0272

0,,0100 0,.0290

0.,00831 0.,0326

0..00712 0..0361

0.,00623 0,,0394

0,,00554 0.,0426

0,,00499 0,,0457

0.,00399 0,,0532

0,,00333 0,,0603

0,,00285 0,,0670

0,,00250 0..0733

0.,00222 0.,0793

0,,00200 0,,0851

0.,00166 0.,0962

a.,00143 0.,107

0,,00125 0.,118

0.,00111 a.,128

0.,00100 0.,137

0.,000833 0.,156

0,,000714 0.,174

0,,000625 0,,191

0..000555 0.,208

0.,000500 0.,224

0.,000400 0,,263

0.,000333 0.,299

1.70

1.80

1.90 2.00 2.09

2.13

2.27 2.36

2.44

2.53

2.61

Bl .99

.18 .35 .68 .99 4.29

4.58

5.12

5.63

6

6

6

7

9

1010.9

11.8 12.7

14.4

16.0 17.6

19.1

20.

23.

26.

28.

31.

33.

.5

.3

.0.5

.0.4 39.2

THERMAL DIELECTRIC PRANOTL

IIFFUSIVITY CONSTANT NUMBER

SO. FT/HR

0.00155 1.02057 0.690 0.00230 1.02047 0.479 0.00201 1.02030 0.540 0.00172 1.01999 0.613 0.00135 1.01943 0.759 0.000774 1.01806 1.31 0.00111 1.00778 1.73 0.00236 1.00587 1.12 0.00344 1.00495 0.955 0.00447 1.00435 0.876 0.00550 1.00390 0.830 0.00654 1.00356 0.801 0.00760 1.00327 0.780 0.00867 1.00304 0.765 0.00977 1.00264 0.754 0.0109 1.00267 0.7 46 0.0120 1.00252 0.740 0.C144 1.00227 0.731 0.0168 1.00206 0.726

0.0194 1.00189 0.722 0.0221 1.00175 0.719 0.0249 1.00163 0.717 0.D278 1.00153 0.715 0.0308 1.00143 0.714 0.0339 1.00135 0.714

0.0371 1.00128 0.713 0.0404 1.00122 0.713 0.0490 1.00108 0.713 0.0582 1.00097 0.713 0.0679 1.00088 0.713 0.0782 1.00081 0.712

0.100 1.00069 0.711

0.125 1.00061 0.710

0.151 1.00054 0.708

0.180 1.00049 0.706

0.242 1.00041 0.702 0.313 1.00035 0.698

0.390 1.00031 0.694

0.475 1.00027 0.691 0.566 1.00025 0.675

0.823 1.00020 0.671 1.12 1.00016 0.668

1.45 1.00014 0.667

1.81 1.00012 0.666

2.21 1.00011 0.666

2.63 1.00010 0.667

3.57 1.00008 0.668

4.63 1.00007 0.666

5.81 1.00006 0.668

7.09 1.00005 0.667

6.48 1.00005 0.667 11.6 1.00004 0.667

15.1 1.00004 0.667

18.9 1.00003 0.666

23.1 1-00003 0.666

27.7 1.0J002 0.666

40.5 1.00002 0.666

55.4 1. 00002 0.666

THO-PHASE BOUNDARY

69
36 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

OEG. R CU FT/LB

it.O 5.0 6.0

7.0

6.1) 9.0 10.0

11.0

12.0

13.0

14.0 15.0

16.0

17.0

ia.o 19.0

20.0 22.0

2 "4.0 26.0

26.0

30.0

32.0

3 It. 36.0 38.0

1*0.0

itS.O 50.0 55.0

60.0

70.0

80.0

90.0

10 0.0 120.0

140.0

160.0 180.0

20C.0 250.0

300.0

350.0

"tOO.O 450-0 500.0

600.0

700,

800, 900, 1000, 1200.

litOC, 1600,

leoc,

2000, 2500,

J.1J62

0.1080 0.1112

0.1162

0.121*7 0.11*38

0.1.072

j. 5708 U.6902

0.7950 0.8921

3.981*6

1.071* 1.161

1.2i*6 1.330

1.1*12 1.575 1.736

1.895 2.052

2.208

2.361* 2.518

2.672

2.826 2.978

3.359

3.738

i*.115

".1*92

5.21.3 5.992

6.71.0 7.1.87 8.980

10.1*7

11.96

13.1.5 14.94

18.67 22.39

26.12

29.81* 33.56

37.29

1*1*. 73 52.18

59.63 67.07

71*. 52

89.1*1

101*.

3

119.2

13i*.

1

11*9.0 186.2

223.5

ISOTHERM OERIVATIVE

CU FT-PSIA/LE

137.0

121.0 97.2

71.3

i«i*. 2 16.0

5.57

13.0

18.1* 23.0

27.2 31.1

31*. 7 38.3

1*1.7

1*5.

G

1*8.2

Si*. 5 60.7

66.7

72.7 78.6

81*. I* 90.2

95.9

102. 107.0

121.0

135.0

11*9.0 163.0

190.0

217.0

2l*lt. 271.0

325.0 379.0

1.32.0

1*86.0

51.0.0

671*. 808.0

91*2.0 1080.0

1210.0

131*0.0 1610.0

1880.0

2150.0

21*20.0 2680.0 3220.0

3760.0

1*290.0

1*830.0 5360.0

6710.0

8050.0

ISOCHORE OERIVATIVE

PSIA/R

13.3

26.0 31.3

33.1* 32.2

26.1* 7.63 5.25

it. 26 3.65

3.23 2.91

2.65

2.1*1*

1.35

1.26

1. 17 1.10

1. 03

0.971* 0.922

0.815

0.731 0.663 0.606

0.518

0.1*52

0.1*02 0.361 0.301

0.257 0.225

0.200

0. 180

0.11*1* 0.120

0. 103

0. 0900 0.0800

0. 0720 0.0600

0.0511*

0.01*50

0. jitOO 0.0360 0.0300

0.U257

0. 0225 0.0200

0.0180

0. Oil* It

0.0120

INTERNAL

ENERGY

BTU/LB

1.381

1. 81*8 2. 368 3.030 3.907

5.271* 10. 39 12.06

13.21

lit. 22 15.15

16.01. 16.89

17.73

18.56

19.37 20.17

21.75

23.32

24.88

26.1*3 27.97

29.51

31.01* 32.57

31*. 09 35.61 39.39

1*3.17

1*6.93 50.69

58. 19 65.68

73.16

80.63 95.57

110.5

125.1*

11*0.3 155.2

192.5 229.7

267.0

301*. 2 31*1.5 378.7

1.53.2

527. 602.

676.

751.

900,

101.9. 1198,

131.7.

11*96. 1868.

ENTHALPY

BTU/LB

2. 089 2.568 3.109

3.805

i*.739 6.233

13.10 15.86

17.82 19.52

21.10

22.60

21*. C5

25.1.7 26.86

28.23

29.58

32.25

31.. 39 37.51

1*0.11

1*2.69

1*5.27

1*7.83 50. 38 52.92

55.1*6 61.78

68. 08

71*. 37 80.63

93.11. 105.6

118.1 130.5

155.1* 180.3

205.2

230.0

251*.

8

316.9

379.0

1*1*1.1 503.1

565.2 627.2

751.1.

875. 1000,

1121.,

121*8,

11.96,

171.1., 1993,

221.1.

21*89.

9TU/LB-R

0.3935

0.5021* 0.6017

.7091

.8331* .006

.725

.990

.160 .296

2.1*13 2.517 2.611

2.697

2.776

2.850

2.920 3.047

3.162 3.267

3.363

3.1.52 3.535

3.613

3.686

3.755

3.820 3.969

It. 102 4.221

l.. 330 4.523

it. 690

it. 837

l.. 968 5.195 5.386

552 699

.830

,107 ,333

,521. ,690 ,836

,967 193 7.385

7.550 7.697

7.827

8.051.

8. 245

8.1*11 8.557

8.688

8.965

9.191

cv CP VELOCITY

OF SOUND

BTU / LB -R FT/SEC

0,,6037 0.611.6 802.4

0,,1.296 0.4903 798.5

0..1*823 0.6213 761.4

0,,521.6 0.7989 709.1

0,.5725 1.111 630.5

0,.61*1*3 2.11.9 496.6

0,.7829 3.997 362.9

0,,7615 2.171 413.8

0,,7511* 1.795 451.2

0,.71*65 1.628 482.3

0,.71*1*2 1.535 509.7

0,,71.32 1.1.75 534.5

.71*28 1.1.35 557.5

0,,71*29 1.1.05 579.0

0,,71*31 1.382 599.3

0.,71.33 1.366 618.7

0,,71.35 1.352 637.2

0,,71.1.2 1.332 672.2

0,,71.1.8 1.317 705.0

0,,71.52 1.306 736.0

0,.71.56 1.297 765.4

0,.71.58 1.289 793.3

0,,71.60 1.283 820.1

0,.71.61 1.278 845.9

0.,71.62 1.271. 870.9

0,,71.62 1.271 895.0

0,,71.62 1.268 918.5

0,,71.62 1.262 974.4

0,,71.62 1.258 1027.0

0,,71*61 1.255 1077.0

0,,71.60 1.253 1124.0

0,.71*59 1.21*9 1214.0

0,,7457 1.21.7 1296.0

0,,71*56 1.21*6 1374.0

0,,71*55 1.21*5 1448.0

0,,71*51* 1.21*1* 1585.0

0,,71*53 1.243 1710.0

0,,71*52 1.21.2 1827.0

0. 71*51 1.21.2 1937.0

0,,71*51 1.21*2 2041.0

0,,71*50 1.21*2 2281.0

c,,71*1*9 1.21*1 2497.0

0,,71*1.9 1.21*1 2696.0

0.,71*1*9 1.21.1 2882.0

0,,71*1*9 1.21.1 3056.0

0,,71*1*9 1.21.1 3221.0

0,,71*1*8 1.21.1 3528.0

0,,71*1*8 1.21.1 3810.0

0,,71*1*8 1.21.1 4072.0

0,,71*1*8 1.21.1 4319.0

0..71*1*8 1.21.1 4552.0

0,,71*1*8 1.21*1 4986.0

0,,71.1*8 1.21.1 5385.0

0,,71*1*8 1.21.1 S756.0

0. 71*1*8 1.21.1 6105.

0,,7i*i*8 1.21.1 6435.0

0,,71*1*8 1.241 7195.0

0. 71*1*7 1.241 7881.0

THO-PHASE BOUNOARY
36 PSIA IS03AR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY DEC R LB/CU FT

p v T

BTU/L3 PSIA-CU FT/BTU PSIA

(OV/DT1/V THERMAL V; P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LI

It, ,0 9,,1.18 59,,i» 5,,0 9,.258 21,,0 6,,0 8,.992 17,,3

7,,0 8 .603 11.,,7

e ,0 8,,020 12,,3

9,.0 6 .955 9,,03

10,,0 2,.1.56 7,,16

ii,,0 1,.752 9.,1.0 12,,0 1.. i.i»9 11,,2 13,,0 1.,258 12,,9

14. 1,,121 ll»,,5 15,,0 1,,016 16,,0 16.,0 0,,9312 17,,5 17.,0 0,,8611. 19.,0 18,,0 0,,8025 20., i. 19,,0 0,,7521 21,,8 20,,0 0,0..7081

,631.9

23,,2 22. 25.,9 24,,0 0,,5761 28,,6 26,,0 0,,5278 31,,3

26,,0 0,,1.873 33,,9 30.,0 0,.1.528 36,,5 32,,0 0.,1.230 39,,2

3".,,0 0,,3971 1.1,,6 36. o..371.2 1.1.. ,3 38,,0 0,,3539 1.6,,9

i«0,,0 0,,3358 1.9,,5

45,,0 0,,2977 55,,8 50,,0 0,,2676 62.,2 55,,0 0,,21.30 68.,5 60,,0 0,,2226 71..,8 70. 0.,1907 87. 3 8C.,0 0,,1669 100,,0 90,,0 0,,11.81. 112,,0 100.,0 0,,1336 125,,0 120. 0, llli. 150.

I<t0,,0 0,,0951.9 175,,0

160.,0 0,,33359 199.,0 180.,0 0,.071.33 221..,0 200,,0 0,.06692 21.9.,0 250.,0 0,,05357 311.,0 300,,0 0,,01.1.66 373.,0 350. 0,,03829 1.35.,0 <«00,,0 0,,03351 1.97,,0 >>50.,0 0,,02980 559,,0 500,,0 0,,02682 621,,0 600.,0 0,,02236 71.6,,0

700,,0 0,,01916 870,,0 800,,0 0,,01677 991.,,0 900,,0 0,.011.91 1120.,0 1000,,0 0,,0131.2 121.0,,0 1200,,0 0.,01118 11.90,,0 11.00.,0 0,,009587 171.0,,0 160G.. 0.,003389 1990,,0 180C,,0 0,.0071.58 2230,,0 2000,,0 0..006712 21.80,,0 250C,,0 G,,005370 3100,.0

3000,,0 0,,00l.li75 3720,,0

2.31. 1290.0

6.51. 1120.0

7.23 871). 7.1.0 613.0

7.00 355.0 5.89 111.0 3.97 13.7 3.93 22.7 3.91 26.7 3.89 29.0

3.87 30.5 3.85 31.6

3.33 32.1. 3.82 33.0

3.80 33.1. 3.79 33.8 3.78 31..

1

3.77 31..

6

3.75 35.0

3.71. 35.2 3.73 35.* 3.72 35.6

3.71 35.7

3.70 35.8 3.69 35.9 3.69 35.9 3.68 36.0 3.67 36.1 3.66 36.1 3.65 36.2

3.65 36.2

3.61. 36.2 3.63 36.2

3.63 36.2 3.63 36.2

3.62 36.2

3.62 36.2

3.61 36.1 3.61 36.1 3.61 36.1 3.61 36.1 3.61 36.1 3.61 36.1

3.60 36.1 3.60 36.1 3.60 36.0 3.60 36.0 3.60 36.0 3.60 36.0 3.60 36.0 3.60 36.0 3.60 36.0 3.60 36.0 3.60 36.0 3.6 36.0

3.60 36.0 3.60 36.0

0,,0103 0,,00899

0.,0233 0,,0105

0..0359 0.,0113

0.,051.5 0,,0118

0.,0906 0,,0121

0,,238 0,,0121

0..558 0,.0091.0

a,,231 0,,00839

0.,160 0.,00851

0..126 0.,00879

0..106 0,,00912

0.,0921 0,,0091.6

0.,0820 0,,00981

0. 071.1 0. 0102

,0678 0,,0105

0.,0627 0.,0108

0.,0581. 0,,0112

0,,0511. 0,,0118

0.,01.61 0,,0121.

0,,01.18 0,,0130

0,.0382 0. 0136

0,,0353 0,,011.1

0,,0328 0,,011.7 ,0306 0,,0152

0,.0287 0,,0157

0,,0271 0,,0162

0,,0256 0,,0167

0,,0226 0,.0179

0.,0202 0.,0190

0,,0183 0.,0201

0,,0167 0,,0212

0,.011.3 0, 0233

0,,0125 0,,0253

0,,0111 0,,0272

0,,0100 0,,0290

0,,00831 0.,0326

0,,00712 0.,0361

0,,00623 0,,0391.

c..00551. 0. 01.26

0,,001.99 0,,01.58

0,,00399 0,,0532

0,,00333 0,,0603

0,,00285 0,,0670

0,.00250 0,,0733

0,,00222 0,,0793

0,.00200 0..0851

0,,00166 0,,0963

0,,0011.3 0,,107

0,,00125 0,,118

0,,00111 0,,128

0,,00100 0,,137

0,,000833 0.,156

0.,000711* 0,,171.

0,,000625 0,,191

0,,000555 c.,208

0,,000503 0.,221.

0,.0001*0 J 0..263

0,,000333 0,,299

SCOSITY THERMAL OIELECTRIC PRANOTL OIFFUSIVITY CONSTANT NUMBER

l/FT-SEC SQ FT/HR

X 10E+6

2.80 0.00155 1.02057 0.689 2.85 0.00231 1.02048 0.479

2.71 0.00201 1. 02030 0.539 2.52 0.00172 1.02000 0.612

2.28 0.00136 1.01945 0.753

1.96 0.000808 1.01814 1.26

1.21. 0.000958 1.00828 1.90

1.2i» 0.00221 1.00611 1.15

1.28 0.00327 1.00513 0.971 1.33 0.00429 1. 00449 0.386

1.38 0.00530 1.30403 0.837

1.1.1* 0.00632 1.00367 0.806

1.1.9 0.00735 1.00337 0.7 34

1.51. 0.00839 1.00313 0.769

1.60 0.00946 1.00293 0.757

1.65 0.0105 1.00275 0.749

1.70 0.0117 1.00259 0.742

1.80 0.0140 1.00233 0.733

1.90 0.0164 1.00212 0.727

2.00 0.0189 1.00195 0.723 2.09 0.0215 1.00180 0.720 2.19 0.C242 1.00168 0.718

2.27 0.0270 1.00157 0.716

2.36 0.0299 1.00147 0.715

2.1.5 0.0329 1.00139 0.714

2.53 0.0360 1.00132 0.714

2.61 0.0392 1.00125 0.714

2.81 0.0476 1.00111 0.713

3.00 0.0566 1.00100 0.713 3.18 0.0660 1.00091 0.713

3.35 0.0761 1.00083 0.712

3.68 0.0977 1.00071 0.711

4.00 0.121 1.00063 0.710

1».29 0.147 1.00056 0.708 4.51 0.175 1.00050 0.706 5.12 0.236 1.00042 0.702 5.63 0.304 1.00036 0.698 6.12 0.379 1.00031 0.694 6.58 0.462 1.00028 0.691 6.91 0.551 1.00025 0.675 7.99 O.flOO 1.00020 0.671

9.02 1.09 1. 30017 0.668

10.0 1.41 1.O0014 0.667

10.9 1.76 1.00013 0.666

11.6 2.15 1.00011 0.666

12.7 2.56 1. 00010 0.667

14.4 3.47 1.00008 0.668

16.0 4.50 1. 00007 0.668

17.6 5.65 1.00006 0.668

19.1 6.90 1.03006 0.667

20.5 8.25 1.03005 0.667

23.3 11.3 1.00004 0.667

26.0 14.6 1. 00004 0.667

28.5 18.4 1. 00003 0.666

31.0 22.5 1. 30003 0.666

33.4 26.9 1.30003 0.666

39.2 39.4 1.30302 0.666

44.6 53.9 1.00002 0.666

TWO-PHASE 80UN0ARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 3d PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB 8TU/LB-R BTU / LB -R FT/SEC

4.0 0.1060 138.0 13.3 1.380 2.126 0.3929 0.5992 0.6098 806.9

5.0 J. 1078 122.0 26.0 1.843 2.602 0.5011 0.4290 0.4886 803.1

6.0 0.1109 98.9 31.4 2.360 3.140 0.6000 0.4818 0.6184 766.7

7.0 0.1159 73.1 33.6 3.015 3.831 0.7067 0.5238 0.7924 715.7

e.o 0.1240 46.2 32.5 3 .880 4.753 0.8294 0.5712 1.091 639.4

9.0 0.1416 18.4 27.1 5.193 6.139 0.997 0.6403 1.975 512.4

10.0 0.3474 4.00 9.10 9.876 12.32 1.633 0.7835 5.408 357.7

11.0 0.5228 11.9 5.78 11.85 15.53 1.941 0.7631 2.325 409.8

12. G 0.6410 17.6 4.61 13.07 17.58 2.120 0.7522 1.858 446.4

13.0 0.7429 22.3 3.93 14.10 19.33 2.260 0.7469 1.665 480.3

14.0 3.8366 26.6 3.46 15.05 20.94 2.379 0.7443 1.559 508.2

15.0 0.9255 30.6 3.10 15.95 22.46 2.464 0.7432 1.493 533.3

ie.o 1.011 34.3 2.83 16.81 23.93 2.579 0.7428 1.448 556.6

17.0 1.094 37.9 2.60 17.66 25.36 2.666 0.7428 1.416 578.3

18. 1.176 41.3 2.41 18.49 26.76 2.746 0.7430 1.391 598.7

19.0 1.255 44.7 2.25 19.30 28.14 2.820 0.7432 1.373 618.2

20.0 1.334 47.9 2.12 20.11 29.49 2.690 0.7435 1.359 636.9

22.0 1.439 54.3 1.89 21.70 32.18 3.016 0.7441 1.337 672.2

24.0 1.642 60.5 1.71 23.27 34.82 3.133 0.7448 1.321 705.1

26.0 1.793 66.6 1.56 24.83 37.45 3.238 0.7453 1.310 736.2

26.0 1.942 72.6 1.43 26.39 40.05 3.335 0.7456 1.300 765.6 30.0 2.091 78.5 1.33 27.93 42.65 3.424 0.7459 1.292 793.6 32.0 2.238 84.3 1.24 29.47 45.22 3.507 0.7461 1.286 820.5

34.0 2.385 90.1 1.16 31.01 47.79 3.585 0.7462 1.230 646.4

36.0 2.531 95.9 1.09 32.53 50.34 3.656 0.7463 1.276 871.3

38.0 2.677 102.0 1.03 34.06 52.39 3.727 0.7463 1.272 895.5

40.0 2.822 107.0 0.975 35.58 55.43 3.792 0.7463 1.269 919.0

45.0 3.182 121.0 0.862 39.37 61.76 3.941 0.7463 1.263 974.9

50.0 3.542 135.0 0.772 43.15 66.07 4.074 0.7463 1.259 1028.0

55.0 3.399 149.0 0.700 46.91 74.35 4.194 0.7462 1.256 1077.0

60. 4.256 163.0 0.640 50.67 80.63 4.303 0.7461 1.253 1125.0

70.0 4.968 190.0 0.547 58.18 93.14 4.496 0.7459 1.250 1214-0

60.0 5.678 217-0 0.476 65.67 105.6 4.663 0.7458 1.248 1297.0

90.0 6.387 244.0 0.424 73.15 118.1 4.810 0.7457 1.246 1375.0

100.0 7.095 271.0 0.381 60.63 130.6 4.941 0.7456 1.245 1448.0

120.0 3.510 325.0 0.317 95.56 155.4 5.168 0.7454 1.244 1565.0

140.0 9.923 379.0 0.272 110.5 180.3 5.360 0.7453 1.243 1711.0

16C.0 11.34 433.0 0.238 125.4 205.2 5.526 0.7452 1.243 1828.0

160.0 12.75 486.0 0.211 140.3 230.0 5.672 0.7452 1.242 1938.0

200.0 14.16 540.0 0. 190 155.2 254.9 5.803 0.7451 1.242 2042.0

250.0 17.69 674.0 0.152 192.5 316.9 6.080 0.7450 1.242 2261.0

300.0 21.22 808.0 0.127 229.7 379.0 6.306 0.7450 1.241 2498.0

350.0 24.74 942.0 0.109 267.0 441.1 6.497 0.7449 1.241 2697.0 400.0 28.27 1080.0 0.0950 304.2 503.1 6.663 0.7449 1.241 2882.0

450.0 31.80 1210.0 0.0844 341.5 565.2 6.809 0.7449 1.241 3056.0

500.0 35.33 1340.0 0. 0760 378.7 627.3 6.940 0.7449 1.241 3221.0

600.0 42.38 1610.0 0.0633 453.2 751.4 7.167 0.7448 1.241 3528.0

700.0 49.44 1880.0 0.0543 527.6 675.5 7.358 0.7448 1.241 3810.0

800.0 56.49 2150.

0.0475 602.1 1000.0 7.524 0.7448 1.241 4072.0

900.0 63.54 2420.0 0.0422 676.6 1124.0 7.670 0.7448 1.241 4319.0

1G00.O 70.60 2680.0 0.3380 751.1 1248.0 7.801 0.7448 1.241 4552.0

1200.0 84.71 3220.0 0.0317 900 .0 1496.0 6.027 0.7446 1.241 4986.0

1400.0 93.82 3760.0 0.0271 10 49.0 1744.0 8.218 0.7448 1.241 5385.0 1600.0 112.9 4290.0 0.0237 1198.0 1993.0 8.384 0.7448 1.241 5757.0

1800. 127.0 4830.0 0.0211 1347.0 2241.0 8.530 0.7448 1.241 6106.0

2000.3 141.1 5360.0 0.0190 1496.0 2489.0 8.661 0.7448 1.241 6436.0

2500.

176.4 6710.0 0.0152 1368.0 3110.0 8.938 0.7448 1.241 7195.0

3000.0 211.7 6050.0 0.0127 2241.0 3730.0 9.164 0.7448 1.241 7881.0

TWO-PHASE 80UN0ARY
38 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM ^

TEMPERATURE OENSITY

DEG. R LB/CU FT

rf<DH/OV> V<DP/OU> -UCDP/DV)

p v T

BTU/L3 PSIA-CU FT/BTU PSIA

(DV/DTI/V THERMAL VISCOSITY

p CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E»6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL

NUMBER

1..0 9.1.33 59.9 2.35 1300.0 0.0102 0.00901 2.82 0.00157 1.02058 0.688

5.0 9.275 21.3 6.51. 1130.3 0.0230 0.0105 2.87 0.00232 1.0201.9 0.1.30 6.0 9.01lt 17.5 7.21. 691.0 0.0353 0.0113 2.73 0.00202 1.02032 0.539

7.0 8-633 41..9 7.1.3 631.0 0.0532 0.0119 2.51. 0.00171. 1.02002 0.609

8.0 8.062 12.5 7.05 373.0 0.0871 0.0122 2.30 0.00139 1.0191.9 0.71.2 9.0 7.061 9.1.6 5.99 130.0 0.209 0.0121 1.99 0.G00869 1. 01829 1.17

10.0 2.378 6.85 1..03 11.5 0.790 0.0106 1.29 0.000680 1.00950 2.38

11.0 1.913 9.16 3.96 22.8 0.251. 0.00859 1.26 0.00193 1.00662 1.23

12.1.560 11.0 3.°3 27.1. 0.168 0.00862 1.29 0.00297 1.0051.9 1.00

13.

1.346 12.7 3.91 30.1 0.131 0.00887 1.31. 0.00396 1.001.79 0.907

lit. 1.195 11..

3.89 31.8 0.109 0.0C918 1.39 0.001.93 1.001.28 0.851

15.0 1.081 15.9 3.87 33.0 0.091.0 0.00952 1.1.5 0.00590 1.00389 0.816

16. 0.9891 17.1. 3.85 33.9 0.0833 0.00986 1.50 0.00688 1.00357 0.793

17.0 0.9139 18.6 3.83 31..0.0751 0.0102 1.55 0. 00788 1.00331 0.775

18.0 0.85J6 20.3 3.82 35.2 0.0686 0.0105 1.60 0.00690 1.00309 0.763

19.0 0.7967 21.7 3.61 35.6 0.0633 0.0109 1.66 0.00993 1.00290 0.751. zc.o 0.71.97 23.1 3.60 35.9 0.0589 0.0112 1.71 0.0110 1.00271. 0.71.7 22. 0.6716 25.8 3.78 36.5 0.0518 0.0116 1.81 0.0132 1. 0021.6 0.736

24.0 0.6091 28.5 3.76 36.8 0.C1.6 3 0.0121. 1.91 0.0155 1.00221. 0.730

26.0 0.5578 31.2 3.75 37.1 0.01.20 0.0130 2.00 0.0178 1.00206 0.725

26.0 0.511.8 -..9 3.71. 37.1. 0.0381. 0.0136 2.10 0. 0203 1. 00190 0.722

30-0 0.it783 36.5 3.72 37.5 0.0351. 0.011.2 2.19 0.0229 1.00177 0.719

32.0 O.lftoS 39.1 3.71 37.7 0.0329 0.011.7 2.28 0.0256 1.00165 0.717

31*. 0.4193 1.1.7 3.71 37.8 0.0307 0.C152 2.37 0.0281. 1.00155 0.716

36.0 0.3951 1.1..3 3.70 37.9 0-0288 0.0157 2.1.5 0.0312 1. 0011.7 0.715

38.0 0.3736 1.6.9 3.69 37.9 0.0271 0.0162 2.53 0.031.2 1.00139 0.715

1.0. 0.35"» "t 1.9.5 3.69 36.0 0.0257 0.0167 2.61 0.0372 1.00132 0.71".

45.0 0.3U2 55.8 3.67 36.1 0.0226 0.0179 2.81 0.01.51 1.00117 0.711. 50.0 0.2821. 62.2 3.66 38.2 0.0202 0.0191 3.00 0.0536 1.00105 0.713 55.0 0.2561. 68.5 3.66 38.2 0.0183 0.0202 3.16 0.0626 1.00096 0.713

60.0 0.231.9 71.. 8 3.65 38.2 0.C168 0.0212 3.35 0.0721 1.00088 0.713

70.0 0.2013 87.1. 3.61. 38.2 0.011.3 0.0233 3.68 0.0926 1.00075 0.712

80.0 0. 1761 100.0 3.61. 38.2 0.0125 0.0253 1..00 0.115 1.00066 0.710 90.0 0.1566 112.0 3.63 38.2 0.0111 0.0272 it. 29 0.139 1.00059 0.708

1CO.0 0.H.09 125.0 3.63 38.2 0.0100 0.0291 it. 58 0.166 1.00053 0.706

120. 0.1175 150.0 3.62 38.2 0.00831 0.0326 5.12 0-223 1.0001.1. 0.702

140.0 0.1008 175.0 3.62 38.2 0.00712 0.0361 5.63 0.288 1.00038 0.698

160.0 U. 08822 199.0 3.62 38.2 0.00623 0.0391. 6.12 0.360 1.00033 0.691. 180. 0.0781.1. 221.. 3.61 36.1 0.00551. 0.01.26 6.58 0.1.38 1.00030 0.691

200.0 J. 07062 21.9.0 3.61 36.1 0.001.98 0.01.58 6.91 0.522 1.00027 0.675

25C.0 0. J5653 311.0 3.61 38.1 0.00399 0.0532 8.00 0.758 1.00021 0.671

300.0 0.01.713 373.0 3.61 38.1 0.00333 O.06Q3 9.02 1.03 1.00018 0.668

350.0 0.01.01.1 1.35.0 3.61 38.1 0.0C285 0.067C 10.0 1.33 1.00015 0.667

"tOO.O 0.03537 1.97.0 3.61 36.1 0. 00250 0.0733 10.9 1.67 1.00013 0.666

1(50.0 0. 0311.5 559.0 3.63 38.1 0.00222 0.0791. 11.8 2.03 1.00012 0.666

500.0 0.32831 622.0 3.60 38.1 0.00200 0.0851 12.7 2.1.2 1.00011 0.667 600.0 0.32360 71.6.0 3.60 38.0 0.00166 0.0963 li.. it 3.29 1.00009 0.668

700.0 0.32023 870.0 3.60 38.3 0.0011.3 0.107 16.0 <t.27 1.00008 0.666

SOC.O 0. J1770 991.. 3. 60 38.0 0.00125 0.118 17.6 5.35 1.00007 0.668

900.0 0.01571. 1120.0 3.60 38.0 0.00111 0.128 19.1 6.53 1.00006 0.667

1030.0 0.011.16 121.0.0 3.60 38.0 O.OC100 0.137 20.5 7.81 1.00005 0.667

1201. 0.31181 11.90.0 3.6o 38.0 0.000833 0.156 23.3 10.7 1.00301. 0.667

litJC.O 0.31012 171.0.0 3.60 38.0 0.000711. 0.171. 26.0 13.9 1.00001. 0.667

160C.0 0.008855 1990.0 3.60 38.0 C. 000625 0.191 28.5 17.1. 1.00003 0.666

1801.0 0.007872 2230.0 3.6G 38.0 0.000555 0.208 31.

21.3 1.30003 0.666

20CU.0 0.037085 21.80.0 3.60 38.0 0.000503 0.221. 33.1. 25.5 1.00003 0.666 2500.0 0.305668 3100.0 3.60 38.0 0.0001.00 0.263 39.2 37.3 1.00002 0.666 3000.0 0. Jjl.721. 3720.0 3.60 38.0 0.000333 0.299 1.1.. 6 51.0 1.00002 0.666

TWO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM It 40 PSIA ISOBAR

EMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY Ctf CP VELOCITY

DERIVATIVE DERIVATIVE ENERGY OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

4.0 0.1058 140.0 13.2 1.378 2.162 0.3922 0.5947 0.6051 811.4

5.0 0.1076 124.0 26.0 1.839 2.636 0.4999 0.4283 0.4869 807.7

6.0 0.1107 101.0 31.5 2.351 3.171 0.5984 0.4813 0.6157 771.9

7.0 0.1155 74.9 33.8 3.001 3.857 0.7043 0.5230 0.7862 722.1

s.o 0.1234 48.2 32.8 3.854 4.768 0.8256 0.5700 1.072 648.0

9.0 0.1398 20.7 27.7 5.121 6.156 0.9876 0.6368 1.844 526.9

10.0 0.2869 2.77 11.3 9.181 11.31 1.520 0.7777 7.751 357.

5

11.0 0.4787 10.8 6.37 11.62 15.17 1.891 0.7644 2.510 406.1

12.0 0.5965 16.7 4.99 12.91 17.33 2.080 0.7529 1.928 445.8

13.0 0.6959 21.7 4.22 13.98 19.13 2.224 0.7472 1.704 478.3

11.. 0.7866 26.0 3.69 14.95 20.77 2.346 0.7444 1.585 506.7

15.0 0.8722 30.1 3.31 15.86 22.32 2.452 0.7432 1.511 532.2

16.0 0.9544 33.9 3.00 16.73 23.80 2.548 0.7427 1.462 555.7

17.0 1.034 37.5 2.76 17.59 25.25 2.636 0.7427 1.427 577.6

18.0 1.112 41.0 2.56 18.42 26.66 2.717 0.7429 1.401 598.2

19.0 1.188 44.3 2.39 19.24 28.04 2.791 0.7431 1.381 617.9

20.0 1.263 47.6 2.24 20. 05 29-41 2.862 0.7434 1.366 636.6

22.0 1.411 54.0 2.00 21.65 32.10 2.990 0.7441 1.343 672.1

Zk.il 1.557 60.3 1.60 23.22 34.76 3.106 0.7447 1.326 705.2 26.0 1.701 66.4 1.65 24.79 37.39 3.211 0.7453 1.313 736.4

26.0 1.844 72.5 1.51 26.35 40.00 3.308 0.7457 1.303 765.9

30.0 1.985 78.4 1.40 27.89 42.60 3.398 0.7459 1.295 794.0

32.0 2.126 84.3 1.31 29.44 45.18 3.481 0.7461 1.288 820.9

34.0 2.265 90.1 1.22 30.97 47.75 3.559 0.7463 1.282 846.8

36.0 2.404 95.8 1.15 32.50 50.31 3.632 0.7463 1.278 671.8

30.0 2.543 102.0 1.09 34.03 52.86 3.701 0.7464 1.274 896.0 40.0 2.631 107.0 1.03 35.55 55.41 3.766 0.7464 1.271 919.5 45.0 3.024 121.0 0.908 39.35 61.74 3.915 0.7464 1.264 975.4

50.0 3.355 135.0 0.814 43.13 68.05 4.048 0.7463 1.260 1028.0

55.0 3.705 149.0 0.737 46.90 74.34 4.168 0.7463 1.256 1078.0

60.0 4.045 163-0 0.674 50.66 30.62 4.277 0.7462 1.254 1125.0

70.0 4.721 190.0 0.576 58.17 93.14 4.470 0.7460 1.250 1215.0

80. 5.396 217.0 0.503 65.66 105.6 4.637 0.7459 1.248 1298.0

90.0 6.070 244.0 0.446 73.14 118.1 4.784 0.7457 1.247 1375.0

100.0 6.743 271.0 0.401 83 . 62 130.6 4.915 0.7456 1.245 1449.0

120.0 8.087 325.0 0.334 95.55 155.5 5.142 0.7455 1.244 1586.0 140.0 9.429 379.0 0.286 110.5 180. 3 5.334 0.7453 1.243 1711.0

160.0 10.77 433.0 0.250 125.4 205.2 5.500 0.7452 1.243 1628.0 180.0 12.11 486.0 0.222 140.3 230.0 5.646 0.7452 1.242 1938.0

200.0 13.45 540.0 0.200 155.2 254.9 5.777 0.7451 1.242 2042.0 250.0 16.81 674.0 0. 160 192.5 317.0 6.054 0.7450 1.242 2261.0

300.0 20.16 808.0 0.133 229.7 379. 6.281 0.7450 1.241 2498.0

35C.0 23.51 942.0 0.114 267.0 441.1 6.472 0.7449 1.241 2697.0

400.0 26.86 1080.0 0.100 304.2 503.2 6.638 0.7449 1.241 2882.0

450.0 30.21 1210.0 0.0889 341.5 565.2 6.784 0.7449 1.241 3057.0 500.0 33.56 1340.0 0. 0800 376.7 627.3 6.915 0.7449 1.241 3221.0 600.0 40.26 1610.0 0.0667 453.2 751.4 7.141 0.7448 1.241 3528.0 70C.O 46.97 1880.0 0. 0571 527.7 875.5 7.332 0.7448 1.241 3810.0

800.0 53.67 2150.0 0. 0500 602.1 1000.0 7.498 0.7448 1.241 4072.0

900.0 60.37 2420.0 0.0444 676.6 1124.0 7.644 0.7448 1.241 4319.0 1000.0 67.07 2680.0 0.04C0 751.1 1248.0 7.775 0.7448 1.241 4552.0

1200.0 80.48 3220.0 0.0333 900.0 1496.0 8.001 0.7448 1.241 4986.0

1400.0 93.88 3760-0 0.0286 1049.0 1744.0 8.193 0.7448 1.241 5385.0

1600.0 107.3 4290.0 0. 0250 1198.0 1993.0 8.358 0.7448 1.241 5757.0

1800.0 120.7 4830.0 0.0222 1347.0 2241.0 8.505 0.7448 1.241 6106.0 2000.0 134.1 5370.0 0. 0200 1496.0 2489.0 8.635 0.7448 1.241 6436.0

2500.0 167.6 6710.0 0.0160 1868.0 3110.0 8.912 0.7448 1.241 7195.0

THO-PHASE BOUNDARY
40 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM It

TEMPERATURE DENSITY DEC R LB/CU FT

p v T

8TU/LB PSIA-CU FT/BTU PSIA

tDV/OT ) / V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R 9TU/FT-HR-R LB/FT-SEC

X 1CE + 6

THERMAL OIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

i*.

9.448 60.1* 2.35 1320.0 0.0100 0.00902 2.84 0.00158 1.02059 0.686

5.0 9.292 21.5 6.51* 1150. 0.0226 0.0105 2.89 0.00233 1.02050 0.480

6.0 9.03"i 17.8 7.25 908%0 0.031.7 0.0113 2.75 0.00204 1.02033 0.539

7.0 8.658 15.1 7.1*6 61*8.0 0.0521 0.0119 2.56 0.00175 1.02005 0.607

8.0 8.103 12.8 7.09 391.0 0.0839 0.0122 2.32 0.00141 1. 01954 0.733

9.0 7. 155 9.86 6.08 11.8.0 0.167 0.0122 2.03 0.000923 1.01841 1.10

10. 3.483 6.65 4.15 9.65 1.17 0.0125 1.37 0.000464 1.01114 3.06

11.0 2.089 8.93 3.99 22.6 0.281 0.00882 1.28 0.00168 1.00717 1.32

12.0 1.677 10.9 3.95 28.1 0.178 0.00874 1.31 O.C0273 1.00587 1.04

13.0 1.437 12.6 3.93 31.1 0.135 0.00895 1.35 0.00366 1.00509 0.926

l«f. 1.271 11*.

3.93 33.1 0.112 0.0C925 1.40 0.00459 1.00454 0.866

15.0 1.11.7 15.8 3.88 31*. 5 0.0959 0.00957 1.46 0.00553 1.00411 0.827

16.0 1.0*3 17.3 3.86 35.5 0.061*7 0.00991 1.51 0.00647 1.00378 0.801

17.0 0.9670 13.7 3.81* 36.2 0.0761 0.0102 1.56 0.00743 1.00350 0.782

1S.0 0.3992 20.2 3.83 36.8 0.0694 0.0106 1.61 0.00840 1.00326 0.769

18.0 0.81*16 21.6 3.82 37.3 0.0640 0.0109 1.66 0.00938 1. 00306 0.759

20-0 0.7916 23.0 3.81 37.7 0.0594 0.0112 1.72 0.0104 1.00289 0.751

22.0 0.7J86 25.8 3.79 38.3 0.0521 0.0119 1.62 0.0125 1.00259 0.740

21*. 0.6i«23 28.5 3.77 38.7 0.0 466 0.0125 1.91 0.0147 1.00236 0.732

26.0 0.5879 31.2 3.76 39. 1 0. 0421 0.0131 2.01 0.0169 1.00216 0.727

28.0 0. 51*21) 33.8 3.7<* 39.3 0.0385 G.0136 2.13 0.0193 1.00200 0.724 30.0 0.5038 36.5 3.73 39.5 0.0355 0.0142 2.19 0.0218 1.00186 0.721

32.0 0.1*705 39.1 3.72 39.6 0.0329 0.0147 2.28 0.0243 1.00174 0.719

3<i.O 0.1*1*15 1*1.7 3.71 39.6 0.0307 0.C152 2.37 0.0269 1.00164 0.717

36.0 0.1*159 Iti*. 3 3.70 39.9 0.0288 0.0158 2.45 0.0296 1.00154 0.716

38.0 0.3933 1)6.9 3.70 39.9 0.0272 0.0163 2.54 0.0324 1.00146 0.716

itC.O 0.3731 1.9.5 3.69 1.0. 0.0257 0.0167 2.62 0.0353 1.00139 0.715

45.0 0.3307 55.8 3.69 i>0.1 0.0226 0.C179 2.61 0.C429 1.00123 0.714

50.0 0.2972 62.2 3.67 1)0.2 0.0203 0.1.191 3.03 0.0509 1. 00111 0.714

55.0 0.2699 68.5 3.66 1*0.2 0.0183 0. 0202 3.18 0.0595 1. 0O1O1 0.713

60.0 0.21)72 71*.3.65 1*0.2 0.0168 0.0212 3.35 0.0685 1.00092 0.713 70.0 0.2118 87.1* 3.65 40.3 0.0143 0.0233 3.69 0.0680 1.00079 0.712

80.0 0.1853 100.0 3.61* 1)0.3 0.0125 0.0253 4. CO 0.109 1.00069 0.710

90.0 0.1648 112.0 3.63 4C.2 0.0111 0.0272 4.30 0.133 1.00362 0.739

100.0 0.11)83 125.0 3.63 1.0.2 0.0100 0.0291 4.58 0.157 1.00056 0.707

120.0 0.1237 150.0 3.62 1*0.2 0.C0831 U.0327 5.12 0.212 1.00046 0.702

litO.O 0.1061 175.0 3.62 1*0.2 0.00712 0.0361 5.63 0.274 1.30040 0.698

160. 0.09261* 200.0 3.62 1)0.2 0.00623 0.0394 6.12 0.342 1.00035 0.694

180.0 0.08256 224.0 3.61 1)0.2 0.00554 0.0426 6.59 0.416 1.00031 0.691

200.0 0.071*33 21*9.0 3.61 1)0. 1 0.00496 0.0458 6.91 0.496 1.00028 0.675

250.0 0.05950 311.0 3.61 i)0.1 0.00399 0. 3532 8.00 0.721 1.00022 0.671

30C.0 0.01)961 373.0 3.61 1*0.1 0.00333 0.0603 9.02 0.979 1.00019 0.668

350.0 0. 01*251* 435.0 3.61 1*0.1 0.00285 0.0670 10.0 1.27 1. 30016 0.667 4G0.0 0.03723 497.0 3.61 1)0.1 0.00250 0.0733 10.9 1.59 1.00014 0.666

450.0 0.03310 560.3. 60 1)0. 1 0.00222 0.0794 11.6 1.93 1.00312 0.656

50C.O 0.J2980 622.0 3.60 1*0.1 0.00200 C.0851 12.7 2.30 1. 30011 0.667

600.0 0.02481* 746.C 3.60 1*0. J 0.00166 0.0963 14.4 3.12 1.00009 0.668

700.0 0.02129 870.0 3.60 1*0.0 0.00143 0.107 16.0 4.05 1. 00008 0.668

800.0 0.01363 991*. 3.60 1.0.0 0.00125 0.118 17.6 5.08 1.0OOO7 0.668

900.0 0.01656 1120.0 3.60 1.0.0 0.30111 0.126 19.1 6.21 1.33006 0.667

lOiiO.O 0.01491 1240.0 3.60 1.0.0 0.00100 0.137 20.5 7.42 1.00006 0.667 1200.0 0.0121*3 11*90.0 3.60 UC. 0-000833 0.156 23.3 10.1 1.00005 0.667

11*00.0 0.01065 1740.0 3.60 1.0.0 0.000714 0.174 26.0 13.2 1.00004 0.667

1600.

O.0J9321 1990.0 3.60 1.0.0 0.000625 0.191 28.5 16.5 1. 00004 0.666 1B0C.O 0.008286 2230. 3.60 1*0.0 0.000555 0.208 31.0 20.2 1.03003 0.666

2000.0 0.0071.53 21*80.0 3.60 1.0.0 O.O005C0 0.224 33.4 24.2 1.00303 0.666

25./0.0 O.0J5966 3100.0 3. 60 1.0.0 0.000400 0.263 39.2 35.5 1.00002 0.666

3OOC.0 0.001*972 3720.0 3.60 4G.0 0.000333 0.299 44.6 48.5 1.00302 0.666

TH0-PHA3E BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 45 PSIA ISOBAR

EMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY ENTROPY CV CP VELOCITY DERIVATIVE DERIVATIVE ENERGY OF SOUND

DEG. R CU FT/LB CU FT-PSIA/LB PSIA/R 8TU/LB BTU/LB 8TU/LB-R BTU / LB -R FT/SEC

4.0 J. 10 54 144.0 13.1 1-376 2.254 0.3907 0.5838 0.5937 822.3

5.0 0.1J71 128.0 26.0 1.827 2.720 0.4969 0.4266 0.4829 818.8

6.0 0.1101 105.0 31.7 2.332 3.249 0.5943 0.4800 0.6091 784.7

7.0 0.1146 79.3 34.2 2.968 3.924 0-6986 0.5211 0.7718 737.6

e.o 0.1220 53.0 33.4 3.793 4.810 0.8166 0.5670 1.032 668.4

9.0 0.1360 26.2 29.0 4.972 6.105 0.9677 0.6296 1.622 559.2

10.0 0.1888 4.31 18.4 7.356 8.929 1.261 0.7090 5.871 406.7

11.0 0.3826 8.39 8.17 10.97 14.16 1.763 0.7660 3.141 399.2

12. 0.5013 14.7 6.04 12.50 16.68 1.983 0.7544 2.137 439.8

13.0 4.5962 20.0 4.99 13.66 18.63 2.140 0.7479 1.812 473.8

lit. 0.6809 24.6 4.31 14.68 20.36 2.268 0.7447 1.654 503.2

IS. 0.7597 28.8 3.83 15.63 21.96 2.378 0.7432 1.560 529.5

16.0 0. 8348 32.8 3.46 16.53 23.49 2.477 0.7426 1.499 553.6

17.0 0.9073 36.5 3.17 17.40 24.96 2.567 0.7425 1.456 575.9

16.0 0.9779 40.1 2.93 18.25 26.40 2.649 0.7427 1.424 597.0

19-0 1.047 43.6 2.73 19.08 27.80 2.725 0.7429 1.401 616.9

20.0 1.114 46.9 2.56 19.90 29.19 2.796 0.7432 1.383 636.0

22.0 1.248 53.5 2.27 21.51 31.91 2.926 0.7440 1.356 671.9 24.0 1.378 59.8 2. 05 23.10 34.59 3.042 0.7447 1.337 705.4

26.0 1.537 66.0 1.87 24.68 37.24 3.148 C.7453 1.323 736.9

28.0 1.635 72.2 1.72 26.24 39.87 3.246 C.7458 1.311 766.6

30.0 1.762 78.2 1.59 27.80 42.48 3.336 0.7461 1.302 794.8

32.0 1.887 84.1 1.48 29.35 45.07 3.420 0.7463 1.294 821.8

31.. 2.012 90.0 1-38 30.89 47.66 3.498 0.7464 1.288 847.8 36.0 2.136 95.8 1.30 32.43 50.23 3.571 0.7465 1.282 872.9

36.0 2.260 102.0 1.23 33.96 52.79 3.641 0.7466 1.278 897.2

<tC.O 2.383 107.0 1.16 35.48 55. 34 3.706 0.7466 1.274 920.7

1.5.0 2.689 121.0 1.02 39.29 61.69 3.856 0.7466 1.267 976.7 50.0 2.993 135.0 0.917 43.07 68.01 3.989 0.7465 1.262 1029.0

55.0 3.296 149.0 0.831 46.85 74.31 4.109 0.7465 1.258 1079.0

60.0 3.598 163.0 0.759 50.62 80.60 4.218 0.7464 1.255 1127.0

70.0 4.2J0 190.0 0.649 58.13 93.13 4.412 0.7462 1.251 1216.0

80.0 4.800 218.0 0. 566 65.6? 105.6 4.578 0.7460 1.249 1299.0

90. 5.403 245.0 0.502 73.12 118.1 4.725 0.7459 1.247 1377.0

100.0 5.998 272.0 0.452 8Q.6G 130.6 4.857 0.7457 1.246 1450.0 120.0 7.193 326.0 0.376 95.54 155.5 5.084 0.7455 1.244 1587.0

li.0.0 8.337 379.0 0. 322 110.5 180.4 5.276 0.7454 1.243 1712.0

160.0 9.580 433.0 0.282 125.4 205.2 5.441 0.7453 1.243 1829.0

180.0 10.77 487.0 0. 250 140.3 230.1 5.588 C.7452 1.242 1939.0 200.0 11.96 541.0 0.225 155.2 254.9 5.719 0.7452 1.242 2043.0

250.0 14.94 675.0 0.18G 192.5 317.0 5.996 0.7451 1.242 2282.0

300.0 17.92 809.0 0. 150 229.7 379.1 6.222 0.7450 1.241 2499.0

350.0 20.90 943.0 0. 129 267.0 441.1 6.414 0.7450 1.241 2698.0 400.0 23.88 1080.0 0. 112 304.2 503.2 6.579 0.7449 1.241 2883.0

45C.0 26.86 1210.0 0. 100 341.5 565.3 6.726 0.7449 1.241 3057.0

500. 29.84 1340.0 0. J900 378.7 627.3 6.856 0.7449 1.241 3222.0 6U0.0 35.80 1610.0 0.0750 453.2 751.5 7.083 0.7449 1.241 3528.0

70C. 3 41.75 1880.

C

0. 0643 527.7 875.6 7.274 0.7448 1.241 3810.0

800.0 47.71 2150.0 0. 0562 602.1 1000.0 7.440 0.7448 1.241 4073.0

9G0.0 53.67 2420.0 0. 0500 676.6 1124.0 7.586 0.7448 1.241 4319.0 1000.0 59.62 2690.0 0. 0450 751.1 1248.0 7.717 0.7448 1.241 4553.0 1200.0 71.54 3220.0 0.0375 900 .0 1496.0 7.943 0.7448 1.241 4986.0

11.00. J 83.45 3760.0 0.0321 10 49.0 1744.0 8.134 0.7448 1.241 5385.0 160C.0 95.37 4290.0 0.0281 1198.0 1993.0 8.30G 0.7448 1.241 5757.0 ieco.0 107.3 4830-0 0. 0250 1347-0 2241.0 8.446 0.7448 1.241 6106.0 20U0.0 119.2 5370.0 0.0225 1496.0 2489.0 8.577 0.7448 1.241 6436.0

2500. 143.0 6710.0 0.0180 1868.0 3110.0 8.854 0.7448 1.241 7195.0 3000.0 178.8 9050.0 0. 0150 2241.0 3730.0 9.080 0.7448 1.241 7881.0

TWO-PHASE BOUNDARY
1.5 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <t

TEMPERATURE OENSITY

DEG. R L9/CU FT

p v T

BTU/L6 PSIA-CU FT/BTU PSIA

(DV/OT)/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R 9TU/FT-HR-R LB/FT-SEC

X 10E + 6

<t.O 9 1.81. 61.6

5.0 9 331. 22.2

6.0 9 081. 18.3

7.0 8 72 3 15.6

6.0 8 199 13.1. 9.0 7 353 10.6

10.0 5 297 7.30

11.0 2 613 8.1.3 12.0 1 995 10. i. 13.0 1 677 12.2

l<t.O 1 1.69 13.9

15.0 1 .316 15.1. 16.0 1 198 17.0 17.0 1 102 18.5

16.0 1 023 19.9

19.0 9554 21. <i 20.0 8971. 22.8

22.0 8016 25.6

21.. 7255 28.3 26.0 6631. 31.0

28.0 6116 33.7

30.0 5676 36.1. 32.0 5299 39.0

31.. 1*970 1.1.7 36.0 1.681 1.1.. 3 36.0 1.1.26 1.6.9 1.0.0 1.197 1.9.1.

1.5.0 3719 55.8

5 0.0 331.1 62.2

55.0 3031. 68.6 6C.0 2779 71..

70.0 2331 87.1) 60.0 2033 100-0 90.0 1852 112.0 100.0 1667 125.0

120.0 1390 150.0 ut.a 1192 175.0

160.0 101.1. 200.0

160.0 09283 221.. 200.0 08358 21.9.0 250.0 06691 311.0

30 0.0 05579 373.0

350.0 01.781. 1.36.0 1.00-0 01.187 1.98.0

1.50.0 03723 560. G 5C0.0 G 03351 622.0

600.0 02791. 71.6.0 700.0 02395 870.0

BLG.G J2096 991.. 930.0 01363 1120.0 100G-0 01677 121.0.0 1200.0 01398 11.90.0 11.00.0 01196 171.0.0 1600.0 0101.9 1990.0

1800.0 009321 221.0.0 2000.0 008389 21.80.0 250G.0 006712 3100.0 3000.0 005591. 3720.0

2.37 1360.0 6.53 1190.0

7.27 952.0 7.52 692.0 7.19 1.31.. 6.27 193.0

I..89 22.8

1..08 21.9

1..01 29.1. 3.98 33.5

3.91. 36.2 3.92 38.0

3.90 39.3 3.87 1.0.2 3.86 1.1.0 3.31. 1.1.6 3.83 1.2.1 3.81 1.2.9 3.79 1.3.1. 3.78 1.3.8 3.76 1.1. . 1 3.75 1.1.. I. 3.7U 1.1.. 6 3.73 1.1.. 7 3.72 1.1.. 8 3.71 1.1. . 9 3.70 1.5.0 3.69 1.5.1 3.68 1.5.2 3.67 1.5.3 3.66 1.5.3 3.65 1.5.3

3.61. 1.5.3 3.61. t.5.3 3.63 1.5.3 3.63 1.5.3 3.62 1.5.2

3.62 1.5.2 3.62 1.5.2 3.61 1.5.2 3.61 1.5.1 3.61 1.5.1 3.61 1.5.1 3.61 1.5.1 3.61 1.5.1 3.60 1.5.1 3.60 1.5.1

3.60 1.5.3 3.60 1.5.0 3.60 1.5.0 3.60 1.5.0 3.60 1.5.0 3.60 1.5.0 3.60 1.5.0 3.60 1.5.0 3.60 1.5.1) 3.60 1.5.0

G 961. 00906

G 3213 3 0106

0333 3 0111.

01.91. 0120

0770 0121. 151 0123

801. 0131

373 958 205 00903

11.9 00918

c 119 0091.2

c 101 00972

0883 0100

3786 0101.

0711. 0107

c 0655 0110

0607 0113

c 0530 0120

01.72 0126

31.26 0131

0389 0137

0353 011.3 3331 011.8

c 0309 0153

G 0293 0158

0273 3163

0258 G168

c 3227 0180

0203 0191

G 0181. 0202

0168 G213

c 011.3 0231.

D 0125 0253

0111 C272

0100 G291

c 00630 0327 00711 0361

c. 00623 0391. 00553 01.27

0. 001.98 01.53

c 00399 0533

0. 00332 0. 0603

0. 00285 0670

G. 0021.9 0733

0. 00222 0791.

0. 00200 0851

00166 0. 0963

c 0011.3 G 107

0. 00125 118 00111 128 0G100 137 300833 156

030711. 171.

0. 000625 191

0. 000555 206

c. 300500 221. OOGi.00 263

000333 299

1.35 1.39

1.1.3

1.1.8 1.53

2.11

2.23 2.29

2.38

2.1.6 2.55

2.63

2.82

3.01 3.19

3.36 3.69

<. .00

1..30 1..59 5.13

5.61.

6.12 6.59

6.91

8.03 9.02

10.0 10.9

11.8

12.7

11.. 1.

16.0 17.6

19.1 20.5 23.3

26.0

28.5

31.0

33.1. 39.2

1.1..

THERMAL OIELECTRIC PRANOTL IFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.00161 1.02061 0.682 0.G0235 1.02352 0.1.81 0.00206 1.02037 0.539 0.00179 1.02010 0.602

0.0011.6 1.01963 0.713

0.00101. 1.01863 0.993

0.0001.22 1.01531 2.67 0.00117 1.00871. 1.60 0.00213 1.00688 1.15 0.00302 1.00587 0.987 0.003S8 1.00519 0.905

0.0G1.73 1.001.69 0.856 0.00559 1.001.29 0.823

0.0061.6 1.00396 0.800

0.00731. 1.00369 0.783 0.00822 1.0031.6 0.771 0.00913 1.00326 0.762

0.0110 1.00292 0.71.8 0.0129 1.00265 0.739

0.0150 1.0021.3 0.733 0.0171 1.30225 0.728

0.0193 1.00209 0.725 0.0216 1.00196 0.722 0.0239 1.00181. 0.720 0.0263 1. 00173 0.719 0.0288 1.00161. 0.718

0.0311. 1.00156 0.717 0.0382 1.00138 0.716

0.01.53 1.00121. 0.715 0.0533 1.00113 0.711. 0.0610 LOOIOU 0.711. 0.0781. 1.00089 0.712

0.C971. 1.00078 0.711 0.118 1. 000fa9 0.709

0.11.0 1.00063 O.707

0.189 1.00052 0.702

0.21.1. 1. 0001.5 0.698

0.301. 1.00039 0.591. 0.370 1.00035 0.691

0.1.1.1 1.00031 0.675

0.61.1 1.00O25 0.671

0.871 1.30021 0.668

1.13 1. 33318 0.667

1.1.1 1.03016 0.666

1.72 1.30311. 0.666 2.05 1.00013 0.667

2.78 1. 00011 0.668

3.60 1.00009 0.668

1..52 1.00008 0.668

5.52 1.00007 0.667

6.60 1.00006 0.667

9.00 1.0,0005 0.667

11.7 1.00005 0.667

11..

1. 00001. 0.666

18.0 1. 00001. 0.666

21.5 1.00003 0.666

31.5 1.00003 0.666

1.3.1 1.30302 0.666

TWO-DHA3E BOUNDARY
5J PSIA ISOBAR THERMODYNAMIC PPOPERTIES OF HELIUM I*

EMPERATURE VOLUME

DEC. R CU FT/LB

i».

a

0.1051

5.0 J. 10 67 6.U 0.1095

7.0 0.1138

8.0 J. 1207

9.0 0.1330 ICO 0.1651

11.

U

j. 30"*2 12.0 0.I.242 13.0 J. 5161

1<..0 0.5960

15.

U

0.6396

16.0 J. 7391

17.0 J. 8 59 ie.o J.87J7

19.0 0.93 35 20.0 J. 995 22.0 1.117

24.0 1.235

26.0 1.353

28. 1.1*68 3C.0 1.533

32.0 1.697

31*. 1.310

36.0 1.922

38.0 2.033

".0.0 2.11*1* 5.0 2.1*21 50. G 2.695

55.0 2.968

60.0 3.21*0 7C.0 3.733

80.0 1..321* 91.0 .363

100. 5.1.02 120.0 6.1.78 H.C.0 7.553

160.il 8.627

180. 3 9.700

200.0 10.77 250.0 13.1.5 300.0 16.11* 350.0 18.32

<tOC.O 21.50

ItSO.O 2<«.1S 500.0 26.86

600. 32.22

700.0 37.58

8u0.0 i»2.9i* 900. b 1*3.30 1000.0 53.67

12C0.0 61*. 39

1 "n.0.0 75.11

1600.0 05.83 18GC.G 95.56

2000.0 107.3

ISOTHERM ISOCHORE OERIVATIVE DERIVATIVE

CU FT-PSIA/LB PSIA/R

132.0 109.0

83.6 57.6

31.1. 9.68

6.70

12.9

18.1.

23.2 27.6

31.7

35.6 39.3

1*2.8 1.6.2 52.9

59.1* 65.7 71.9 77.9

83.9

89.8 95.7

101. C 107.0

121.0 135.0

li*9.0 163.0

191.0 218.0

21.5.0 272.0 326.0

380.0

1*31*. 1*87.0

5i*l. 675.0

809. C 91.3.0 108G.O

1210.0 1350.0

1610.0

1880.0 215u.O

21.20.0 2690.0 3220.0

376G.0

1.290. 1.830.0

26. G 31.9

31*.

5

31.. 1 35.2

22.1

10. 6 7.28

5.85

1..99 i*.39 3.95

3.60

3. 31 3.08

2.88

2.55

2.30 2.09

1. 92 1.77

1.65

1.51.

1.1*5 1.37

1.29

1. li* 1.02 0.925

0. 81*5 0.721 0.629

5.559

0.502

0.1.16 0.358

0.313

0.278

0.250

0.2GG 0.167

0.11*3

0. 125 0.111

0.10G 0.0833

0.G711* 0.0625

0.0 555

0. 0500

0.01*17 0.0357

0.C312

0.3278

INTERNAL

ENERGY

BTU/LB

1.373

1.817

2.311. 2.938

3.739

1..851 6.671. 10.17

12.01. 13.33

11*. 1*1 15.39

16.32

17.22

18. 08 18.92

19.75 21.38

22.98

21*. 56

26.11* 27.70 29.26

30.81 32.35

33.88

35.1*2 39.23

1.3.02

1*6.80 50.57

58.10

65.60 73.09

60.58 95.52 110.5

125.1*

11.0.3 155.2 192.5

229.7

267.0

3Gl*.2 31.1.5 378.7

1.53.2 527.7 602.1

676.6

751.1

900 .0 101.9.0 1198.0

131.7.0

9TU/L8-R

2.31.6 2.805

3.327

3.992

it. 355 6.083 8.203

12.99

15.97

18.10

19.93 21.59

23.17

21*. 68

26. lit 27.57

28.97

31.72

3it.it2 37.09

39.73

1.2.36

1.1.. 97

1.7.56 50.11. 52.71 55.27

61.61. 67.97

71.. 28 80.58

93.12

105.6

118.1

130.6 155.5

180.1.

205.

230,

251.. 317, 379.

1.1*1. 503, 565.3

627.1. 751.5

875.6

100 0.0

1121*. 121*8.0 1496.C

17l*l».G 1993.0

221*1.0

21*89.0 3110.0

3 73 0.0

0.3893

0.1*91*0 0.5901. 0.6933

C.8081* 0.9515

1.172 1.628 1.889

2.060

195

310

.1*1'. 503

587

661* 736

,867 965 3.092

3.190

3.280 3.365

3.1*1.3 3.517

3.586

3.652

3.802 3.936

1..056

1..165 i.359

1..526

1..673

1..80I. 5.031 5.223

5.389

5.536 5.666

5.91*1* 6.170

6.361 6.527

6.673

6.801. 7.03G 7.222

7.387

7.531.

7.661. 7.891

8.082

8.21.8

8.391. 8.525 8.802

9.028

5733

1.250 1.786 5193

561.3

621.0 6738

7618 7551

71.81.

.71.1.9 .71.31

.71*21* .71*23

.71.25

.71.26

.71.30 .71*38

0.7l*i»6 0.71*53

71*58

71.62

71*61* 71.66

71*67

71*68 71.68

71.68 7U67

71.66 7465

71.63 71.61

71*60

71*58 71*56

71.55

0.71.51. 0.71.53 0.71.52

71.51

71.50 71.50

71.50

71*1*9

71*1.9 71.U9

0.71.1.9

0.71*1*8

0.71*1*8

0.7ltl*8 0.71*1*8

0.71*1*8

0.71*1.8

0. 71*1.8 0.71.1*8 0.71.1*8

0.71*1*8

CP VELOCITY

OF SOUND

-R FT/SEC

0.5827 832.9

0.1.790 829.5 0.6029 796.9

0.7590 752.1* 0.999 687.3

1.1*80 587.3 3.219 1*62.8 3.927 1*00.0 2.396 1*35.7 1.939 1*70.1 1.730 500.2 1.613 527.1 1.538 551.7

1.1*86 574.5

1.1*1*9 595.9

1.1*22 616.2

1.1*01 635.5

1.370 671.8

1.31*8 705.6 1.332 737.1. 1.319 767.3

1.308 795.7 1.300 822.8 1.293 81.8.9 1.287 871.. 1.282 898.1. 1.278 921.9 1.270 978.0

1.261* 1031.0

1.260 1081.0 1.257 1128.0 1.253 1217.0

1.250 1300.0

1.21*8 1378.0

1.21*6 11*51.0

1.21*5 1588.0

1.21*1* 1713.0

1.21*3 1830.0

1.21.3 191*0.0

1.21.2 201*1*. 1.21.2 2283.0

1.21*2 21*99.0

1.21*1 2698.0

1.21*1 2881*. 1.21*1 3058.0

1.21*1 3222.0

1.21*1 3529.0

1.21*1 3811.0

1.21*1 1*073.0

1.21*1 1*320.0

1.21*1 1*553.0

1.21*1 1*987.0

1.21*1 5386.0

1.21*1 5757.0

1.21*1 6106.

1.21*1 61*36.0

1.21*1 7195.0

1.21*1 7881.0

TWO-PHASE BOUNDARY
50 PSIA ISOBAR

TriERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

DEG. R L3/CU FT

l/(OH/DV> VIOP/OU) -V[OP/OV>_

p

v T

BTU/Lfl PSIA-CU FT/BTU PSIA

(DV/OTj/V VISCOSITY CONDUCTIVITY

BTU/FT-HR-R LB/FT-SEC

X 10E+6

THERMAL OIELECTRIC PRANOTL OIFFUSIVITY CONSTANT NUMBER

SO. FT/HR

4.0 9.519 62.7 2.39 1400.0 0.00929 0.00910 2.94 0.00164 1.02063 0.677

5.0 9.371. 22.6 6.52 1240.0 0.0210 0.0107 2.98 0.00237 1.02055 0.483

6.0 9-133 18.8 7.29 994.0 0.0321 0.0115 2.85 0.00238 1.02040 0.539

7.0 6.781. 16.1 7.57 735.0 0.0470 0.0121 2.65 C. 00182 1.02015 0.597

e.o 8.287 14. 7.29 477.0 0.0714 0.C125 2.43 0.00151 1. 01972 0.696

9.0 7.517 11.6 6.1.1) 236.0 0.128 0.0125 2.16 0.00112 1.01868 0.925

10.0 6.059 8.51. 5.1)1 58.6 0.377 0.0124 1.82 0.000636 1.01673 1.70

11.0 3.287 8.15 l) .21. 22.0 0.482 0.0106 1.44 0.000821 1.01062 1.92

12.0 2.357 10.0 4.09 3G.5 0.239 0.00950 1.40 0.00168 1.00798 1.27

13.0 1.93 8 11.8 4.03 35.7 0.164 0.0094* 1.43 0. 00251 1. 00670 1.05

14.0 1.673 13.5 3.99 39. C G.128 0.00962 1.46 0.00331 1.00587 0.947

15.0 1.1.93 15.2 3.96 41.3 C.106 0.00988 1.51 0.00410 1.00527 0.866

16. 1.353 16.7 3.93 42.9 0.0920 0.0102 1.55 0.00489 1. 00481 0.846

17.0 1.21.1 18.2 3.91 44.2 C.0815 0.0105 1.60 0.00569 1.00443 0.818

18.0 1.149 19.7 3.69 45.1 C.0735 0.0108 1.65 0.00649 1.00412 0.798

19.0 1.071 21.2 3.87 45.9 0.3672 0.0111 1.73 0.00730 1.00386 0.783 20.0 1.305 22.6 3.66 46.5 0.0620 0.0114 1.75 0.00812 1. 00363 0.772

22.0 0.8956 25.1. 3.83 47.4 C.0539 0.0120 1.85 0.00981 1.03325 0.757

2<l.Q 0.3091. 28.2 3.61 48.0 C.0476 0.0126 1.94 0.0116 1.00295 0.746

26.0 0.7393 30.9 3.80 46.6 0.0431 0.0132 2.04 0.0131. 1.00270 0.739

26.0 0.6810 33.6 3.78 48.9 0.0392 Q.0138 2.13 0.0153 1.00250 0.733

30.0 0.6317 36.3 3.75 49.2 0.0360 0.0143 2.22 0.0173 1.00232 0.729

32.0 J. 5694 39.0 3.75 1.9.5 C.0334 0.0149 2.33 0.0194 1.00217 0.726

34.0 0.5526 1.1.6 3.74 49.6 0.0311 0.0154 2.39 0.0215 1.00204 0.723

36.0 0.5201. i)i». 2 3.73 49.8 0.0291 0.0159 2.47 0.0237 1.00192 0.721

36.0 0.1.918 i)6.8 3.72 49.9 1.0274 0.0164 2.55 0.0260 1.30162 0.720

<»0.G 0.1.663 1.9.1) 3.71 50.0 G.0259 0.0169 2.63 0.0263 1.03173 0.719

i>5.0 0.1.131 55.9 3.70 50.2 0.0227 0.0160 2.63 0.C344 1.03153 0.717 SCO 0.3711 62.2 3.69 50.3 0.0203 0.0192 3.02 0.0409 1.00138 0.716

55.0 0.33o9 68.6 3.68 50.3 0.3184 3.0203 3.19 0.0477 1.00125 0.715

60.0 0.3086 71).3.67 50.4 0.0166 0.0213 3.37 0.0550 1.00115 0.714

70.0 0.261)3 87.5 3.66 50.4 0.0143 0.0 234 3.70 0.0706 1.00099 0.713

60.0 0.2313 100.0 3.65 50.4 1.0125 0.0254 4.01 0.0878 1.00086 0.711 90.0 0.2J56 113.0 3.64 50.4 0.0111 0.0273 4.31 0.106 1.00077 0.709

100.0 0.1851 125.0 3.64 50.4 0.0100 0.0291 4.59 0.126 1. 30069 0.707

120.0 0.15i)<> 150.0 3.63 50.3 C. 00830 0.0327 5.13 0.170 1.00058 0.703

1<«0.0 0.1324 175.0 3.62 50.3 0.00711 0.0362 5.64 0.223 1.03050 0.696

160.0 0.1159 200.0 3.62 50.3 0. 00622 0.0395 6.12 0.274 1.00044 0.694

160.

0.1031 225.0 3.62 50.2 0.00553 0.0427 6.59 0.333 1.30039 0.691

200.

y

0.09282 21.9.0 3.62 50.2 0.00498 0.0456 6.92 0.397 1.00035 0.675

250. 0.071.32 312.0 3.61 50.2 0.00399 0.0533 6.00 0.577 1.00028 0.671

300.0 0.06197 371.. 3.61 50.2 0.00332 0.0603 9.C2 0.784 1.00023 0.668

350.0 0.05311) 436.0 3.61 50.1 0.00265 0.0670 10. C 1.02 1.00020 0.667

Uoo. 0.01)652 1)98.0 3.61 50.1 0.00249 0.0733 10.9 1.27 1.00018 0.666

1)50.0 0.01.136 560.0 3.61 50.1 0.00222 0.0794 11.8 1.55 1.00016 0.666

500.0 0.03723 622.0 3.61 50.1 0.30200 0.3651 12.7 1.64 1.00014 0.667 600.0 0.03101) 746.0 3.60 50.1 0.00166 0.0963 14.4 2.50 1.00012 0.668 700.0 0.02661 870.0 3.60 50.1 0.00143 0.107 16.0 3.24 1.00010 0.668

600.0 0.02329 991.. 3.60 50.1 0.00125 0.118 17.6 4.07 1. 00009 0.668 900.0 0.02070 1120.0 3.60 50.3 0.00111 0.128 19.1 4.97 1.00008 0.667

IGuG.O 0.01863 121.0. 3.63 50.0 0.00100 0.137 20.5 5.94 1.00007 0.667

1200.0 0.01553 11)90.0 3.60 50.0 C. 000833 0.156 23.3 8.10 1.00006 0.667

11)00.0 0.01331 171.0.0 3.60 50.0 0.000714 0.174 26.0 10.5 1.00005 0.667

1600.0 0.01165 1990.0 3.60 50.0 0.000625 0.191 28.5 13.2 1.00004 0.666

1800.0 0.01036 221)0.0 3.60 50.0 C. 000555 0.208 31.0 16.2 1.00004 0.666

2000.0 0. 009321 21)80.0 3.60 50.0 C.00G500 0.224 33.4 19.4 1.00004 0.666

2500.0 0.0071)58 3100.0 3.60 50.0 C. 000400 0.263 39.2 28.4 1.00003 0.666

3000.0 0.006215 3720.0 3.63 50.0 0.000333 0.299 44.6 38.8 1.30002 0.666

TWO-PHASE 30UN0ARY
luu PSIA IS09AR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

OEG. R CU FT/L

4.0 0.1017

5.0 J. 10 29 6.0 0.1 J49

7.0 0.1078

6.0 0.1121

9.0 0.1182

10.0 J. 1267 11.0 0.1391

12.0 0.15 96 13.0 0.1931

14.0 0.2356

15.0 0.2773

16.0 0.3177

17.0 0.3565 18.0 0.3936

19.0 0.1.292 20.0 0.1.638 22.0 0.5306

21). 0.5952

26. J 0.6582 28.0 0.7200 30.0 0.7007

32.0 0.81.01. 34.0 0.8993

36.0 0.9576

38.0 1.015

1.0.0 1.073

1.5.0 1.215

50.0 1.355 55.0 1.494

60. 1.632

7U.0 1.906

60.0 2.179

90.0 2.1.50 100.0 2.721

120.0 3.261

11.0.0 3.799

160.0 it. 337 180.0 "*.87l» 200.0 5.1.11 250.0 0.752

300.0 0.093

350.0 9.1.33

1.00.0 10.77

450. 12.11

500. 13.if5 600.0 16.13 700.0 16.81

800. 21.1(9 900.0 24.17

1000.0 26.85 1200.0 32.22

11.00. 37.56

160C.0 1(2.91. 1800. 1(8.30 2000.0 53.66

2500.0 67.06 3000.0 80.1(6

ISOTHERM DERIVATIVE

CU FT-PSIA/LB

182.0

168.0

11.6.0 123.0 98.5

71..

8

55.0 37.1

23.8

18.3 19.6

22.6

26.2

30.0 33.9

37.7

1(1.5

1(8. 8 56.0 62.9

69.7

76.3

82.7

89.1 95.3

101.0

108.0

122, 137.

151,

166,

191., 221,

21(9, 276,

330, 384.0

1(38.0 1(92.0

51(6.0 680.0

811..

u

91(6.0 1080.0

1220.0

1350.0

1620. 1890.0

2150.0

21(20.0 2690.0

3230-0

3760.0

1(300.0

1.830.0 5370.0 6710.0

6050.0

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY PSIA/R BTU/LB BTU/LB

12.0 1.370 3. 254 25.5 1.750 3.655

33.0 2.186 4.130 37.3 2.725 4.722

38.6 3.366 5.461

37.2 i».21i| 6.402

3i*.

a

5.201. 7.550 29.7 6.361 8.936

2"t.i. 7.809 10.76

19.0 9.568 13.14

li..

9

11.32 15.68

12.1 12.78 17.91

10.3 11.. 05 19.94

8.96 15.21 21.81

7.98 16.27 23.56

7.23 17.26 25.21

6.63 18.20 26.79

5.71 20.01 29.83

5.05 21.71. 32.76

4.53 23.1.3 35.61

4.11 25.09 38.42

3.76 26.71. 41.20

3.1(7 28.37 43.93

3.23 29.98 46.63

3.02 31.58 49.31

2.83 33.16 51.96

2.67 31.. 73 54.60

2.31. 38.63 61.13

2.08 1.2.50 67.59

1.88 1(6. 34 74.00

1.71 50.16 80.36

1.1(6 57.76 93.06

1.27 65.32 105.7

1.12 72.85 118.2 1.01 80.37 130.8

0. 838 95.37 155.7

0.717 110.3 180.7

0.626 125.3 205.6

0.556 11.0.2 230.5

0.500 155.2 255.4

0. 1(00 192.5 317.5

0. 333 229.7 379.6 0.266 267.0 441.7

0.250 301..

2

503.7

0.222 31(1.5 565.8

0.200 378.7 627.9

0. 167 1(53.2 752.0

0.11(3 527.7 876.1 0.125 602.2 1CO0.0

0. Ill 676.7 1124.0

0.100 751.2 1248.0

0. 0833 900.1 1497.0

0.0711. 101(9.0 1745.0

0.0625 1198.0 1993.0 0.0555 131.7.0 2241.0

0.0500 lit96. 249 0.0

0. ui(00 1868.0 3110.0

ENTROPY

8TU/LB-R

0.3772

0.4703

0.5590 0.6513 0.7499

0.8590 0.9785

1.111

1.270

1.460 1.649

1.803

1.933 2.047

2.147

2.237

2.318 2.463

2.591 2.705

809 905

993

075 152

223 291

445

581 703 814

010 178

326

458 686

878

044

191 322 599

826

017

183

329

460 686 6.878

7.043

7.189

7.320 7.547

7.738 7.904

8.050 8.181

8.457

6.664

0.4855

0.4089 0.4649

0.5027 0.5439

0.5939

0.6075

0.6283

0.6608

0.6987

7253 7327

7359

7376

7388 7392 7398

7414

7432 7448

0.7461

0.7470 0.7476 0.7481

0.7483 0.7485

0.7486 0.7487

0.7486

7484

7482 7479

7475

7472

7470 7466

7463 0.7461 0.7459 0.7458

0.7455

0.7454

0.7453 0.7452

0.7452 0.7451

0.7451

0.7450 0.7450

0.7450 0.7449

0.7449

0.7449

0.7449 0.7449

0.7449 0.7448

0.7448

CP VELOCITY

OF SOUND

-R FT/SEC

0.4916 923.5 0.4468 921.8 0.5559 900.5

0.6740 873.0 0.8253 832.2 1.023 772.7 1.231 718.6 1.564 653.9 2.076 589.1

2.470 547.8 2.347 541.8 2.119 550.4

1.940 565.7

1.807 583.7 1.709 602.6

1.637 622.1 1.583 641.3

1.508 678.4

1.460 713.5 1.425 746.7

1.398 777.7 1.376 806.7 1.358 834.5 1.344 861.1 1.332 886.6 1.322 911.3 1.314 935.1

1.298 991.7 1.287 1045.0 1.279 1095.0 1.272 1142.0 1.264 1231.0 1.258 1314-0 1.254 1391.0 1.252 1464.0 1.248 1600.0 1.246 1724.0 1.245 1841.0 1.244 1950.0 1.243 2053.0 1.242 2291.0 1.242 2507.0

1.242 2705.0 1.241 2890.0

1.241 3064.0 1.241 3228.0 1.241 3534.0 1.241 3815.0 1.241 4077.0

1.241 4323.0 1.241 4556.0 1.241 4990.0 1.241 5386.0 1.241 5759.0 1.241 6108.0 1.241 6438.0 1.241 7196.0 1.241 7882.0

TWO-PHASE BOUNDARY
10 J PSIA IS03AR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE Q£NSITY

DEG. R Ld/CU FT

(OH/DV) VIDP/OU) -VIDP/OV),,

p v T

3TU/LB PSIA-CU FT/8TU PSIA

(DV/OTI/V THERMAL VISCOSITY

p CONDUCTH/ITY

1/OEG. R 3TU/FT-HR-R LB/FT-SEC

X 1CE + 6

THERMAL DIELECTRIC PRANOTL DIFFUSIYITY CONSTANT NUMBER

SQ FT/HR

4.0 9.830 73.0 2.52 1790.3 C. 00673 0.0091.6 3.1.2 0.00196 1. 02077 0.641

5.0 9.720 28.6 6.1.1 1630.0 0.0156 0.3112 3.1.1. 0.00258 1.02073 0.495

6.0 9.535 23.5 7.1.5 11.00.0 0.0237 0.0121 3.28 0.00229 1.02064 0.542

7.0 9.273 20.5 8.01 111.0.0 0.0328 0.0129 3.07 0.00207 1.02049 0.576

8.11 8.923 13.8 7.95 879.3 0. 31.39 0.0136 2.85 0.00135 1.32025 0.622

9.0 a. 463 17.1. 7.39 633.0 0.0587 0.011.0 2.62 0.00162 1. 31988 0.690

10.0 7.891. 15.7 7.08 1.31..

3

0.0 7 82 0.011.1 2.1.2 0.00145 1.01932 0.759

11.0 7.190 11.. 1 6.57 267.0 0.111 0.011.0 2.21. 0.C0125 1.01846 0.898

12.0 6.267 12.7 5.90 11.9.0 0.163 0.0137 2.06 0.00105 1.01708 1.13

13.0 5.178 12.3 5.26 9".. 9 C.200 0.0131 1.92 0. 00102 1.01507 1.30

11.. 4.245 13.1 it. 83 83.1 C.179 0.0121. 1.81. 0.00125 1.01303 1.25

15.0 3.606 14.3 4.59 81.5 0.1U9 0.0121 1.81 0.00159 1.01146 1.14

16.0 3.11.7 15.6 <t. 1.3 82.5 0.125 0.3120 1.82 0.00197 1.01024 1.05

17.

U

2.805 17.0 4.33 Si.. 2 0.106 0.0121 1.84 0.00238 1.00929 0.989

18. 2.51.0 18.1. 4.25 86.1 0.0927 0.0122 1.86 0.00281 1.00853 0.939

19.0 2.33 3 19.9 4.20 87.9 T. 3822 0.0121. 1.89 0.00325 1.00790 0.902

20. 2.156 21.1. 4.15 89.5 C. 071.1 0.3126 1.93 0.00369 1.00737 0.873

22.0 1.885 21..

3

It. 09 92.0 0. 0621 0.0131 2.03 0.00459 1.30653 0.834

24.0 1.680 27.2 4. 01. 91.. 0.0537 0.0136 2.08 0. 00553 1.00588 0.808

26.0 1.519 30.1 4.00 95.6 C. 01.71. 0.011.1 2.16 0.00649 1.00536 0.790

28.0 1.389 32.9 3.97 96.8 0.01.25 0.011.6 2.25 0.00750 1.00493 0.776

30. 1.281 35.7 3.93 97.7 0.0385 0.0151 2.33 0.00855 1.00457 0.765

32.0 1.190 38.5 3.91 98.5 0.0353 0.0156 2.1.1 0.00962 1.00426 0.756

31.. 1.112 1.1.2 3.88 99.1 0.0326 0.C160 2. 49 0.O107 1.00400 0.750

36.0 1.0i.<. 1.1.. 3.86 100.0 C. 0303 0.0165 2.56 0.0119 1.00376 0.745

38.0 0.9d.»8 1.6.6 3.81. 100.0 C-. 3 2 83 u.0170 2.64 0.0130 1.00356 0.740

1.0.0 0.9321 1.9.3 3.83 100.0 0. 3266 0.0171. 2.72 0.0142 1.00338 0.737

1.5.0 0.8233 55.9 3.80 131.0 0.0232 0.0186 2.90 0.0174 1.00300 0.731

50.0 0.7381 62.5 3.77 191.0 0.0206 0.0197 3.03 0.0207 1.00270 0.726

55.0 0.6691. 69.0 3.75 131.0 0.0185 0.0207 3.26 0.C242 1.00245 0.723

60.0 0.6128 75.1. 3.71. 101.0 0.0169 0.0218 3.43 0.0279 1.00225 0.721

70.0 0.521.6 88.2 3.71 102. C.0143 0.0238 3.75 0.0359 1. 00194 0.717

80.0 0.1.590 101.0 3.70 1U2.0 0.0125 0.0257 4.06 0.0446 1.00170 0.714

90.0 0.1.081 113.0 3.68 102.0 0. 0111 0.0276 4.35 0.0540 1.00151 0.711

10C.0 0.3675 126.0 3.67 101.0 0.00993 0.0295 4.63 0.0640 1.00137 0.708

120.0 0.3067 151.0 3.66 101.0 C. 30826 G.0330 5.17 0.0862 1.00114 0.703

1*0.0 0.2632 176.0 3.65 101.0 0.00708 0.0361. 5.67 0.111 1.00098 0.699 160.0 0.2306 201.0 3.61. 101.0 C. 00620 0.0397 6.16 0.138 1.00086 0.695

180.0 0.2052 226.0 3.61. 101.0 0.00551 0.01.29 6.62 0.168 1.00077 0.691

200.0 0.131.8 251.0 3.63 101.0 0.001.96 0.01.60 6.94 0.200 1.00069 0.675

250.0 0.11.81 313.0 3.62 101.0 C.O0397 0.0535 8.03 0.291 1.00056 0.671

300.0 0.1236 375.0 3.62 101.0 C. 30331 0.0605 9.04 0.394 1.00046 0.668

350.0 0.1060 1.37.0 3.62 101.0 0.00281. 0.0672 10.0 0.510 1.00040 0.667

itOC.O 0.09282 1.99.0 3.61 100.0 C. 0021.9 0.3735 10-9 0.638 1. 00035 0.666

"(50.0 0. 08255 561. C 3.61 100.0 C. 00221 0.0795 11.8 0.776 1.00031 0.666

5GC.U 0.071.33 623.0 3.61 100.0 0.00199 0.0852 12.7 0.924 1.00028 0.667 600.0 G. J6198 71.7.0 3.61 100.0 0.00166 0.0961. 14.4 1.25 1. 00323 0.668

700.0 0.05315 371.0 3.61 100.0 C. 0011.2 0.107 16.0 1.62 1.00020 0.668

800.0 O.Qi.652 1000.0 3.61 100.0 0.00125 0.118 17.6 2.04 1.00018 0.667 90C.O 0.04137 1120.0 3.60 100.3 0.00111 0.128 19.1 2.49 1.00016 0.667 1000.0 0.03721. 121.0.0 3.60 10C.0 0.0010G 0.137 20.5 2.97 1.00014 0.667 1200.0 0.03101. 11.90. 3.60 100.0 C. 000832 0.156 23.3 4.06 1.03012 0.667

1401 .u 0.32661 171.0.0 3.60 100.0 0.00071? 0.171. 2b. 5.27 1.00010 0.667 1600.0 0.32329 1990.0 3.60 130-0 C. 000621. 0.191 28.5 6.62 1.00009 0.666

1800.0 0.02370 221.0. 3.60 130.3 C. 000555 0.208 31.0 8.10 1.00008 0.666 2000.0 0.01361. 21.80.0 3.60 130.0 0. 000500 0.221. 33.4 9.69 1.00007 0.666

2500.

J

0.011.91 3110.0 3.60 100.0 0. 0001.00 0.263 39.2 14.2 1.00006 0.666 3000.0 u. 31243 3730.0 3.60 100.0 0.000333 0.299 44.6 19.4 1.00005 0.666

TWO-PHASE 30UN0ARY
15j PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

DEG.

it.O 5.0 6.0

7.0

8.0 9.0 10.0

11.0 12.0

13.0

26.0

3C.0

32.0

3<t.O 36.0 38.0

1)0.0

".5.0 50.0

55.

60. 70.0

80.0 90.0

100.0 120.0

14G.0

16C.0

16G.0 200.0

250.0

301.

U

350.0

400. 450.0 50C.0

600.0

700.0 800.0 900.0 1000.0

1200.

11*00. 16i,C.O 1800.

U

2000.0

2500.

0.09912

0.1000 0.1015 0.1038

0.1070

0.1112

0.1165

0.1231

0.1318

0.11.35 0.1593 0.1796

0.2030 0.2276

0.2511.

0.271.8 0.2980

0.31.33 0.3377

0.1)313

0.1.740 0.5160

0.5572

0.5978 0.6379

0.6775

0.7157 0.8135

0.9087 1.003

1.U96

1.281

1.464 1.646

1.827

2.188

2.5l»8

2.907

3.265

3.623

4.518

5.412 6.305

7.19 9 8.092 8.985

10.77

12. 5o

14. 34 16.13

17.92

£1.49

25. 06 28.64

32.21

35.78 44.72

ISOTHERM DERIVATIVE

CU FT-PSIA/LE

212.0 200.0

179-0 157.0

134.0

111.0 91.9

73.6 57.6 44.8

36.2 32.2

32.2

34. 37.

39. 42.

49. 55. 62.

69.

76, 82,

89, 95, 102,

109, 124.0

139.0 154.0

168. 197.0 225.0

253.0

28u.O

335.0

389.0

443.0

497.0 551.0

685.0

819.

953. 1090.

122C.

1360. 1620.

1890.0 2160.0

243C.0 2690.0

3230.0

3770.0 4300.0

484U.0 5370.0

6710.0

ISOCHORE DERIVATIVE

PSIA/R

11.3

24.8 33.6

39.2 41.5

41.2

39.3

36.5

33.0 29.2

25.2 21.5

18.3 15.3

13.9

12. 4 11.2

9.43

8.20 7.27 5.54

5.95 5.46

5.04

4.69 4.39

4.13

3.59

3.18 2.86

2.60 2.20

1.91 1.69

1.52

1.26 1.08

0.941

0.835

0.751

0.600

0.50C 0.428 0.375

0.333

0.300 0.250 0.214

0.187

0.167

0.150

0.125 0.107

0.0937 0.0833

0.0750

0.0600

INTERNAL

ENERGY DTU/LP

1.394

1.728 2.125 2.609

3.196

3.916

4.743

5.640 6.654

7. 812 9.118

10.53

11.95

13.32 14.54

15.65

16.70 18.68 20.53

22.32

24.07

25. 8C 27.50 29.17

30.82 32.45

34.06

38.05

41.99 45.88

49.75

57.42

65. 04 72.62

80.17

95.22

110.2

125.2

140.2 155.1

192.4 229.7

267.0 304.3 341.5

378.8 453.3

527.8

602.3

676.6

751.2

900.2

10 49.0 1198.0

1347.0 1496.0 H68.0

BTU/L9

4.147

4.506 4.945

5.493 6.166

7.004

7.978 9.058

10. 31 11.80 13.54

15.52

17.59

19-64

21.52 23.28

24.98

28. ?1 31.30

34.30 37.24

40.13 42.98

45. 77 48.53

51.27

53.97

60.65

67.23 73.74

83.19

93.0 105.7

118.3 130.9

156.0

161.0 205.9

230.9

255.3

317.9

330.0 442.1

504.2

566.3 628.4

752.5

876.6

1001.0

1125.0

1249.0

1497.0 1745.0

1994.0

2242.

C

2490.0

3111.0

0.3682

0.4526

0.5358 C.6215

0.7115

0.8083 0.9093

1.112

1.122

1.241

1.371

1.508

1.642 1.766

1.874

1.970

2.057

2.212

2.346 2.466

2.575

2.675

2.767 2.852

2.931 3.0C5

3.074

3.231

3.370

3.494 3.606

3.804

3.973 4.122

4.255 4.483

4.676

4.843

4.989

5.120 5.398

5.624 5.816

5.962 6.128

6.259 6.485

.676

,842 988

119

345

537

,702 849

979

256

cv CP VELOCITY

OF SOUND

P.TU ,' LB -R FT/SEC

0,,4196 0.4240 995.0

0,.3934 0.4220 996-0

.4507 0.5229 982.1

0,,4679 0.6244 964.5

0.,5287 0.7469 935.7

0,.5777 0.8920 891.5

0..5882 1.009 854.8

0,,6026 1.160 810.0

.6230 1.355 761.6

0,.6465 1.592 714.6

.6712 1.831 675.9

0,,6941 1.978 652.3

0,.7123 1.986 644.8

0,,7250 1.909 648.4

0,,7306 1.826 655.3

,7328 1.752 665.0

0,,7346 1.692 677.0

0,.7376 1.604 704.7

0,.7404 1.543 734.7

0..7430 1.499 765.2

0,.7453 1.463 794.8

.7470 1.433 823.0

0.,7481 1.409 350.3

.7489 1.389 876.5

0..7495 1.373 901.9

.7499 1.359 926.4

.7501 1.347 950.2

0..7503 1.324 1007.0

0..7503 1.308 1059.0

0,.7501 1.296 1109.0

0.,7498 1.287 1157.0

0,,7493 1.275 1245.0

0,,7488 1.266 1327.0

0..7484 1.261 11)04.0

0,,7480 1.257 1477.0

0,,7475 1.252 1611.0

0.,7471 1.248 1736.0

0,,7467 1.246 1851.0

0,,7465 1.245 1960.0

0,,7463 1.244 2063.0

0,,7460 1.243 2300.0

0,,7457 1.242 2514.0

0,,7456 1.242 2712.0

0.,7455 1.242 2896.0

0,.7454 1.241 3069.0

0,,7453 1.241 3233.0

0,,7452 1.241 3538.0

0.,7452 1.241 3819.0

0,,7451 1.241 1)061.0

0,,7451 1.241 1)327.0

0,,7451 1.241 4559.0

0,,7450 1.241 4992.0

0,,7450 1.241 5391.0

0,,7450 1.241 5761.0

c.,7450 1.241 6110.0

0. 7449 1.241 6439.0

0,,7449 1.241 7198.0

3000.0 53.55 605L.G , 05C0 2241.0 3731.0

TWO-PHASE BOUNOARY
ISO P3IA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

OEG. R L3/CU FT

V<DH/OV) VIDP/OU) -V(OP/DV>

p v T

aTU/19 PSIA-CU FT/dTU PSIA

(DV/DT1/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R 8TU/FT-HR-R LB/FT-SEC

X 10E + 6

THERMAL DIELECTRIC DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

4.0 10-09 80..1 5.0 10.00 33 ,9 6.3 9.81.6 27 ,5 7.0 9.632 21...1

8. 9.31.3 22..5 9.0 8.995 21,,6 10.0 8.586 20,,3 11.0 8.125 19,,0 12.0 7.5S9 17,,9 13.0 6.9o9 17,,0

lit. 6.277 16,,5 15.0 5.569 16,,5 16.

U

4.92 7 17,,2 17.

J

it. 391. 18,,3 18.0 3.978 19,,4 19.0 3.639 20.,6 20.0 3.356 21.,8 22.0 2.913 21.,,<« 2".. 2.579 27,,2 26.0 2.319 29,,9

28.0 2.113 32,.8 30. J 1.938 35..6 32.0 1.795 38,,<t 3".. li 1.673 1.1,,2 36.0 1.564 i.!., ,0 38.0 1.1.76 1.6..7 1.0.0 1.395 1.9,,1.

1.5.

U

1.229 56,,2 50. 1.100 62.,8 55.0 0-997 69,,4 60.0 0.9123 75,.9 70. 0.78J7 88,,8 80.0 0.6831 102.,0 30.0 0.6075 111.,,0 100.0 u. 51.73 127,,0 120.0 J. 1.570 152,,0

11.1 .0 0.3925 177,,0 161.0 0.31.1.0 202,,0 18C.3 0.3063 227,,0 2J0.0 0.276J 252,,0 250.0 0.2213 314.,0 3 C . 0.181.8 376,,0 350.0 0.1586 1.38,,0 4u0.0 0.13S9 500.,0 1.50.0 0.1236 562. a 500.0 0.1113 621.,,0 600.0 0.09281. 71.8,,0 700.0 0. 07963 872,,0 800.0 u. 06971 1000,,0 9t0. 0.06199 1120,,0 1000.0 0.05581 121.0,,0 1200.

J

0.01.653 11.90..0 11.00.0 0.03990 174U,,0 1600.0 0.031.92 1990,,0 1800.0 0.03105 221.0,,0 2000.0 u. 02795 21.90.,0 2500.0 0.02236 3110,,0 3000.0 0.01861. 3730,,0

2.67 213C..0 6.30 200C,.0 7.53 1770., 8.33 151C.. 3 8.1.0 1250,.0 7.92 100C,,0 7.77 789,,0 7.1.5 598,.0 6.99 1.37,,0 6.1.9 312,,0 5.99 227,,0 5.56 130,,0 5.22 159,.0 4.97 152,,0 4.78 1..7,.0

i.. 61. 11.5,,0 4.54 144,,0 4.39 li.lt.,0 4.29 ll.lt,,0 4.22 11.5,,0 4.16 11.7,,9

It. 11 11.8,,0 4.36 149.,0

I.. 03 150,.0 3.99 150,,0 3.97 151,.3 3.91. 151,,0 3.89 152,,0 3.86 153.,0 3.83 153,,0 3.80 153,,0 3.77 151.,,0 3.7i. 151..,0 3.72 153.,0 3.71 153,,3 3.69 153,,0 3.67 153. 3.66 152,,0 3.65 152,,3 3.65 152,,0 3.61. 152.,3 3.63 151,,3 3.62 151.,0 3.62 151,,0 3.62 151,,0 3.61 151,,3 3.61 151,,3 3.61 151..3 3.61 150,,3 3.61 150,,0 3.61 150.,0 3.60 150.,0 3.60 150,,0 3.60 150,,3 3.60 150,,0 3.60 150. 3.60 150,,3

0,,00530 0..00976

c.,0121. ,0116

0,.3190 0..0127

0,, 3259 0..0136

c.,0332 3.,011.1.

0,,31.12 0,,0150

0,,01.97 .0151.

0., 3613 3,.0156

c,,0757 0..0156

c,,0937 0.,0151.

0,,111 0,,0151

0,,120 0,,311.7

c,,116 u ,011.3

c,, 101. 0,,011.1

0,,091.2 0,,011.0

0,,0852 0,,011.0

0,,3776 0,,011.0

0,,3657 0,,011.3

0,,0568 ,011.6

c,, 0501 0,,0150

0,,01.1.7 0,,0155

0.,01.03 0,,0159

f

,

,3367 ,0163

0,,0337 3,,0168

0,,3312 0,,0172

0,.0291 0,,0176

c,,0273 0,,0181

0.,0236 0,,0191

0. 0203 o.,0202

c,,0187 0,,0212

c,,3170 u ,0222

0,.311.1. 0,,021.2

0. 3125 0. 0261

c,,3110 0,,0280

0,,30990 0.,0298

0,.00823 0,,0333

0, 00705 0,.0367

0.,30617 0,,01.00

0,.0051.9 0,,31.31

0,,001.91. 0,,0"t62

c,,00396 0.,0537

c,,00330 0,,0607

0,,00283 0,,0673

0,,00248 0,,0736

c,,03221 0,,0796

0,,30199 0,,0853

0.,33166 0,,0965

0., 3011.2 0..107

c,,30125 0,,118

0,,00111 0,,128

0,.00100 0,,138

0. 300831 0.,156

0.,000713 0,,171.

0. 000621. 0,,191

0,,000555 0,,208

0. 0001.99 0. 221.

0,.3001.30 0.,263

c.,000333 0,,299

3.91

3.93 3.70

3.1.6 3.21

2.98

2.78 2.62

2.1.7

2.31.

2.23 2.15

2.13

2.03 2.08

2.13 2.11

2.17

2.23

2.29

2.36

2.1.1. 2.51 2.53 2.65

2.73

2.83 2.98

3.15

3.32

3.1.8 3.80

It. 10

I.. 39 4.67

5.23

5.71 6.19

6.65

6.97

8.05 9.06

10.0 11.0 11.9

12.7

lit. i.

16.0

17.6

19.1 20.5

23.3

26.0 28.5

31.0

33.1. 39.2

ii.. 6

0,,C0228 1 , 32087

0,,00276 1,,02081.

0.,0021.6 1,,02378

0.. 00226 1,, 32368

0,,00206 1,,02053

0,,00187 1,,02030

0,.00178 1,.01999

0..00166 1,,01956

0,,00152 1,,01897

0,,00139 1,,01816

0..00131 1.,01710

0,,00133 1,,01581.

0,,0011.6 1,, 01455

0,,00168 1., 01338

0..00192 1. 01239

0,,00219 1,,01151.

0,,0021.7 1,,01080

0.,00306 1,, 00959

0,,00368 1,, 03861.

0,,001.33 1,,00787

3,,00501 1,,30723

0,.00572 1,,00570

0.,0061.5 1,,00625

0,,00721 1,, 00586

0,,00799 1.. 00552

0,,00879 1,, 30522

0,,00961 1,,031.95

3.,0118 1.,331.39

0. 011.3 1.. 00396

0,,0161. 1,,30363

0,,0189 1,,33331

3,,021.3 1,,30285

0,, 0302 1.. 00250

0,,0365 1,, 00223

0,,01.33 1,,00202

0,,0582 1,,00169

0..0749 1,,0011.6

0..0932 1,,30128

0,,113 1,,03111.

0. 135 1.. 33133

0,,195 1,,30383

0. 261. 1,,00069

0.,31,2 1,,00059

3. 1.27 1. 30052

3,,519 1,,0001.6

0.,618 1,,3001.2

0.,837 1,,00035

1. 09 1,,00030

1,.36 1,,00026

1..66 1,, 00323

1..99 1,,00021

2.,71 1,,30318

3,,52 1,,00315

i». 1.2 1,.00013

5,,1.0 1..00012

6,,1.7 1.,03011

9,.1.7 1.,00008

.2..9 1,,00337

0.611

0.508

0.550 0.572

0.600 0.638 0.656 0.699

0.773

0.870

975

01. 35

02980 946

918

876 845

823 0.806

0.791

0.780

0.771

0.763 0.757

0.752

0.742

0.735

0.730 0.726

0.721 0.717

0.713

0.710 0.704

0.699

0.695

0.691 0.675

0.671

0.668

0.666

0.666

0.666

0.667

0.668 0.668

0.657 0.667

0.667 0.667 0.666

0.666

0.666 8.666

3.666

3.666

TWO-PHASE BOUNDARY
233 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM It

TEMPERATURE VOLUME

It, , .09695

5,,0 0,.09765

6 ,0 .09891

7,,0 0,. u je

6 ,0 .1033

9., 0,,10o6

10,,0 .1105

11 , j ,1151

IE,. D ,1206

13.. J .1277 IV,0 0,,1363

15,,0 ,11.70 16,.0 0,. 1599

17,,0 ,1717

16,,0 u ,1910

19 ,0 0,,2079

20.,0 0.,2218

22,,0 0,,2571.

21.,,0 0,,2899

26,,0 0,,3223

28.,0 0,,351.5 3C,,0 0,,3861. 32.,0 0,,1.179

31..,0 0, 1.1.89 36,,0 ,1.795 38.,0 0,,5098

1.0,,0 0,,5398

1.5.,0 0,,6136

50. 0,,6861

55,,0 0,,7577

60..0 o..8281. 70,,0 0,,9683

80,,0 1,,107

90,,0 1,,21.1. IOC.,0 1..380 12b

.

,0 1,,652

11.0,,0 1,,922

160.,0 2.,192

18C.,0 2,,1.61 2GC.,0 2,,730 25C.,0 3,,1.01 300..0 It. ,071

350.,0 If, ,71.1 IOC,,0 5 ,1.11 1.50,,0 6,,081

500..0 6,.751

6 0.,0 8,,090

700,,0 9 ,1.30 8C0.,0 10,.77 90G.,0 12 ,11 1000,,0 13,,15 1200,,0 16 .13

11.00.,0 18.,81 16GC .0 21 .1.9 1600,.0 2 it, .17 2000,.0 26 .35 2500,,0 33 .55

ISOTHERM DERIVATIVE

CU FT/L8 CU FT-PSIA/Le

238.0

228.0

210.0

188.0

166.0

li.it. 125.0 106.0

89.7

75.0

71.6 78.0

8 it. 6 91.1

97.5

101.. 110.0 126.0

lll.O

156.0

171-0

200.0 228.0

257.0

281. 339.0

391..

1.1.8. 502.

556, 690.

821.. 958, 1090, 1230,

1360, 1630,

1900, 2160.

21.30, 2700,

3230, 3770.

1.310,

1.81.0, 5380.

6720.

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY

PSIA/R BTU/LB BTU/LB

11.1 1.135 5.025

21.2 1. 731 5.350

31.0 2.099 5.762

10.5 2.513 6.275

13.6 3.08C 6.906

11. 1 3.737 7.681 12.9 1.180 8.572 10.8 5.265 9.529

38.2 6.127 10.60 35.3 7.077 11.81

32.1 8.123 13.17 28.8 9.263 11.71 25.6 10.18 16.10

22.7 11.71 18.21 20.1 13.31 20.08

17.9 11.21 21.91

16.1 15.10 23.73

13.5 17.19 2 7 . C 3 11.6 19.11 30.17

10.2 21.29 33.23

9.15 23.12 36.25

8.28 21.91 39.22

7.56 26.67 12. 11 6.97 28.39 15.02

6.16 33 .09 17.85

6.03 31.76 50.61

5.65 33.12 53.11

1.89 37.19 60.21

1.32 11.19 66.90

3.87 15.11 73.50

3. 51 19.35 80.03

2.97 57. C9 92.95

2.57 61.76 105.7

2.27 72.38 118.1 2.03 -7-9.97 131.1

1.68 95.07 156.2

1.11 110 .1 181.3

1.26 125.1 236. 3 1.11 110.1 231.2

1. 00 155.1 256.2

0. 80C 192.1 318.1

0.667 229.7 380.5

0.571 267.3 112.6

0.500 301.3 501.7

0.111 311.6 566.8

0.100 378.8 628.9

0. 333 153.1 753.3 0.286 527.9 877.1

0.2SO 6C2.3 1031.0

0. 222 676.8 1125. 0.200 751.3 1219.3

0.167 900.3 1198.0

0.113 1019.0 1716.3

0. 125 1198.0 1991.3

0. Ill 1317.0 2212.0

0.100 1196.0 2190.

3

0.0800 1869.0 3111.3 0.0666 2211. a 3732.0

ENTROPY BTU/LB-R

0.3608 C.1386

0.5173

0.5981

0.6821

0.7719

C.8638

0.9553

1.019

1.116

1.218

1.355

.161

.575

.682

.783 .875

.033

.171 .293 2.105 2.508

2.602 2.689

2.77C 2.815 2.916

3.077

3.218 3.313

3.157

3.656 3.827

3.977

1.11C 1.339

1.532

1.699

1.816 1.977

5.255

5.182

5.673 5.839

5.985

6.116 6.312

6.531

6.699 6.S16

6.976

7.203

7.391

7.560 7.706

7-837

8.113

8.310

0.3681

0.3787 0.1365

0.1739 0.5158

0.5655

0.5760 0.5895

0.6077

0.6277

6180 6676

6857 7011

7112

7227 7282

7331

7369

7103 0.7136

0.7162

0.7180 0.7193

0.7502

0.7508

0.7512

0.7517 0.7517

0.7516 0.7513

0.7507

0.7501

0.7196

0.7191 0.7181 0.7178

0.7171

0.7171

0.7168

0.7161

0.7161 0.7159

0.7157

C. 7156 0.7156 0.7151

0.7153 0.7153

0.7152

0.7152 0.7151

0.7151

0.7151

0.7151

0.7150

0. 7150

0.7150

CP VELOCITY

OF SOUND

-R FT/SEC

0.,3720 1051.0

0,,1011 1058.0

0,,1965 1051.0

0.,5888 1010.

C

0..6976 1019.0

0,,8213 983.3

0,.9089 955.5

1,,012 920.2

1..136 881.3

1,,279 611.5

1,,136 803.7

1,,591 771.2

1,,717 717.0

1.,789 732.7

1,,801 727.7

1..763 728.6

1.,712 733.9

1.,631 716.8

1.,580 769.5

1.,510 793.5

1.,505 819.3

1.,171 815.1

1.,118 870.7

1,,125 895.8

1,,106 920.2

1,,390 911.1

1..375 967.3

1,,318 1023.0

1.,328 1075.0

1,,312 1121.0

1,.301 1171.0

1,.285 1259.0

1..271 1311.0

1..267 1117.0

1,,262 1189.0

1,,255 1623.0

1,,251 1717.0

1.,218 1861.0

1.,216 1969.0

1.,215 2072.0

1. 213 2308.0

1,,212 2522.0

1.,212 2719.0

1,,212 2902.0

1. 211 3075.0

1,,211 3238.0

1,,211 3513.0

1. 211 3823.0

1.,211 1085.0

1, 211 1330.0

1, 211 1563.0

1. 211 1995.0

1. 211 5393.0

1,,211 5761.0

1.,211 6112.0

1. 211 6111.0

1, 211 7199.0

1, 211 7885.0

TWO-PHASE 80UNOARY
200 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM It

TEMPERATURE DENSITY

OEG. R L3/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

4.0 10-31 82.3

5.0 10.21. 38.8

6.0 10.11 30.9

7.0 9.922 27.1

8.0 9.680 25.6

9.0 9.383 25.1

10.0 9.050 24.0

11.0 8.686 22.9

12.0 8.280 22.1

13.0 7.830 21.3

14.0 7.331. 20.7

15-0 6.803 20.3

16.0 6.255 20.2

17.0 5.721. 20.5

18. 5.236 21.2

19.0 it. am 22.2

20.0 4.449 23.4

22.0 3.881. 25.6

2".. 3.1.1.9 28.0

26.0 3.103 30.6

28.0 2.821 33.2

30.0 2.588 36.0

32.0 2.393 38.7

3*. o 2.228 41.5 36.0 2.085 44.3

38.0 1.961 47.0

1.0. 1.852 49.8

1.5.0 1.630 56.6

50.0 1.1.5 7 63.3

55.0 1.320 69.9

60.0 1.207 76.5 70.0 1.033 89.5

80.0 0.9037 102.0 9C.0 0. 801.0 115.0

100.0 0.721.5 128.0

120.0 0.6054 153.0

140.0 0.5202 178.0

16C.0 0.1.563 203.0

180.0 0.1.061. 228.0

200.0 0.3661) 253.0

250.0 0.291.1 315.0

300.0 0.21.56 377.0

35C.0 0.2109 439.0

MOO. 0.131.8 501.0

1.50.0 0. 161.1. 564.0

500.0 0. 11.81 626.0

600. 0.1236 750.0

700.0 0.1060 874.0

800.0 0.09285 lOuO.O 900.0 0.08258 1120.0

100C.O 0.071.36 1250.0

1200.0 0.06200 1490.0

11.00.0 0.05317 1740.0

1600.

u

0. 04654 1990.0

1800.0 0.04138 2240.0

2000.0 0.03725 2490.0

2500.0 0.02981 3110.0

3000.0 0.02485 3730.0

2.91 2450.0 6.24 2340.0 7.71 2120.0

8.61 1870.0 8.74 1600.0

8.30 1350.0 8.23 1130.0

7.97 925.0

7.60 743.0 7.18 588.0 6.75 462.0 6.34 366.0

5.97 301. 5.65 260.0 5.38 237.0

5.16 226.0

4.98 220.0 4.73 211.0 4.56 206.0 4.45 203.0 4.36 202.0 4.29 202.0 4.22 202.0 4.17 203.0 4.13 203.0 4.09 204.0 4.06 204.3

3.99 205.0 3.94 206.0

3.90 206.0 3.87 207.0 3.82 207.0 3.79 206.0 3.76 206.0

3.74- 206.3 3.72 205.0

3.70 205.0 3.68 204.0 3.67 204.0 3.66 204.0 3.65 203.0 3.64 202.0

3.63 202.0 3.63 202.0 3.62 202.0 3.62 201.0 3.62 201.0

3.61 201-0 3.61 201.0 3.61 201.0 3.61 201.0

3.61 201.0

3.60 200.0

3.60 200.0

3.60 200.0

3.60 200.0 3.60 200.0

CDV/DT)/V THERMAL VISCOSITY THERMAL DIELECTRIC PRANDTL

P CONDUCTIVITY OIFFUSIVITY CONSTANT NUMBER

1/DEG. R 9TU/FT-HR-R LB/FT-SEC

X 10E+6

SQ FT/HR

0.00452 0.0100 4.40 0.00262 1.02093 0.587

0.0104 0.0120 4.35 0.00293 1.02091 0.522

0.0161 0.0131 4.11 0.00262 1.02087 0.559

0.0217 0- 0141 3.83 0.00242 1.02081 0.574

0.0272 0.015 3.55 0.00223 1.02071 0.593

0.0327 0.0158 3.30 0. 00205 1.02055 0.618

C.0379 0.0164 3.09 0.00199 1.02034 0.618

0.0442 0.0168 2.92 0.00191 1.02007 0.634

0.0515 0.0170 2.77 0.00180 1.01971 0.668

0.0600 0.0170 2.65 0.00170 1.01925 0.717

0.0695 0.0169 2.54 0.00160 1. 01865 0.777

0.0766 0.0167 2.45 0.00154 1.01792 0.842

C.0851 0.0164 2.38 0.00153 1.01706 0.898

0.0872 0.0161 2.33 0.00157 1.01613 0.933

0.0848 0.0159 2.31 0.00168 1.01519 0.942

0.0794 0.0157 2.29 0.00185 1.01430 0.928

0.0733 0.0156 2.29 0.00205 1.01350 0.907

0.0638 0.0156 2.32 0.00246 1.01216 0.874

C.0564 0.0158 2.37 0.00290 1.01105 0.851

0.0504 0.0161 2.42 0.00337 1.01012 0.834

0.0453 0.0164 2.48 0.00387 1.00933 0.819

C.0410 0.0168 2.54 0.00440 1.00866 0.805

0.0374 0.0171 2.61 0.00495 1.00809 0.793

C.0343 0.0175 2.68 0.00552 1.00759 0.784

0.0318 0.0179 2.74 0.00611 1.00716 0.775

0.0296 0.0183 2.81 0.00672 1. 00677 0.768

C.0276 0.0187 2.88 0.00735 1.00643 0.762

0.0238 0.0197 3.05 0.00898 1.00572 0.750

C.0210 0.0207 3.22 0.0107 1.00515 0.742

0.0188 0. 0217 3.38 0.0125 1.00470 0.736

C.0170 0.0227 3.54 0.0144 1.00432 0.731

0.0144 0.0246 3.85 0.0185 1.00373 0.724

C.0124 0.0265 4.15 0.0230 1.00328 0.719

0.0110 0.0283 4.44 0.0278 1.00293 0.715 0.00987 0.0301 4.71 0.0329 1.00265 0.711 0.00820 0.0336 5.24 0.0442 1.00223 0.705 0.00702 0.0369 5.74 0.0568 1.00192 0.700

C. 00614 0.0402 6.22 0.0705 1.00169 0.695

C. 00546 0.0434 6.68 0.0856 1.00151 0.691 0.00492 0.0465 7.00 0.102 1.00136 0.675 0.00394 0.0539 8.07 0.147 1.00110 0.671

C. 30329 0.0608 9.08 0.199 1.00092 0.668 0.00283 0.0675 10.1 0.258 1.00079 0.666

0.00248 0.0738 11.0 0.321 1.00069 0.665

0.00220 0.0797 11.9 0.391 1.00062 0.665

0.00198 0.0855 12.7 0.465 1.00056 0.666 0.00166 0.0965 14.4 0.629 1.00046 0.667

0. 00142 0.107 16.0 0.816 1.00040 0.667

C. 00124 0.118 17.6 1.02 1.00035 0.667

0. 00111 0.128 19.1 1.25 1.00031 0.667 0.00100 0.138 20.5 1.49 1.00028 0.667 0.000831 0.156 23.3 2.03 1.00023 0.667

C. 000712 0.174 26.0 2.64 1.00020 0.666

C. 000624 0.191 28.6 3.32 1.00018 0.666 0.000554 0.208 31.0 4.05 1.00016 0.666 0.000499 0.224 33.4 4.85 1.00014 0.666

C. 000399 0.263 39.2 7.10 1.00011 0.666

0. 000333 0.299 44.6 9.71 1.00009 0.666

TWO-PHASE BOUNOARY
30 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

OEG. R CU FT/L

it.

a

0.09341

5.0 0.09395

6.0 0. 09488

7.0 0.09627

8.0 0.09811

9.0 0.1004

10.0 0.1031

11. 0.1060

12.0 0. 1094

13.0 0.1134

14.0 0.1179

15.0 0-1230

16.0 0.1290

17.0 0.1358

18. 0.1434

19.0 0.1521

2G.0 0.1613

22.0 0.1811

2<t.O 0.2012

26.0 0.2214

28.0 0.2418

30.0 0.2626

32.0 0.2834

34. 0.3J41

36.0 0.3247

38.0 0.3452

40.0 0.3655

45.0 0.4156 SCO 0.4649

55.0 0.5135

60.0 0.5615

70.0 0.6561 SCO 0.7495

90.0 0.8418

100.0 0.9336

121.0 1.116 140.0 1.297

16C.0 1.477

lac.o 1.656 200.0 1.836

250. 2.283

300.0 2. 730 350.0 3.177

400.0 3.624

1(50.0 4.070 50C.0 4.517

61/O.0 5.409

700.0 6.302

800. 7.195

900. 8. 088 1000. 8. 980 1200.0 10.77 1400.0 12.55

1600.0 14.34

1800.0 16.12 2000.0 17.91

2500. 22.38 3000.0 26.94

ISOTHERM DERIVATIVE

CU FT-PSIA/L6

281. 278. 263.

244.

223. 202.

184.

165,

148. 132. 118.0 105.0

94.2

85.5 78.9

74.3

71.7 71.2

74.0 77.7

82.0

87.2 92.7

98.5 104.0

111.0

117.0

132.0

147.0

163.0

178

207

236

265 293

348 403 457.0 512.0

566

700 834

968

1100 1240 1370.0

1640.0

1900.0 2170.0

2440.0

271C.0

3240.0 3780.0

4310.0

4850.0

5380.0

6720.0

8060.0

ISOCHORE INTERNAL ENTHALPY

ERIVATIVE ENERGY

PSIA/R BTU/LB BTU/LB

12.7 1.548 6.738 23.6 1.795 7.014

34.7 2.111 7.382

42. 5 2.496 7.844

46. 8 2.966 8.416 48.2 3.543 9.122 47.9 4.192 9.917 46.7 4.863 10.75

45.0 5.585 11.66

43. 6.362 12.66 40.6 7.198 13.75

38.1 8.092 14.93

35.6 9.044 16.21

33.0 10.05 17.59

30.5 11.10 19.07 27.9 12.22 20.67

25.6 13.35 22.31

21.6 15.55 25.61

18.6 17.64 28.82

16.3 19.60 31.90

14.6 21.49 34.93

13.2 23.36 37.95

12. 3 25.19 40.94

11. 26.99 43.89

10.2 28.76 46.80

9.46 30.50 49.67

8.84 32.21 52.52

7. 50 36.42 59.51

6.68 40.53 66.36

5.96 44.58 73.10

5.38 48.57 79.76

4.52 56.45 92.90

3.90 64.22 105.9

3.44 71.92 118.7 3.07 79.57 131.4

2.54 94.77 156.7

2.16 109.9 181.9

1.89 124.9 207.0

1.67 140.0 232.0

1.50 155.0 256.9

1.20 192-4 319.2

1. 00 229.7 381.4

0.857 267.1 443.6

0.749 304.4 505.7

0.666 341.7 56 7.8 0.599 378.9 629.8

0.499 453.5 754.0 0.428 528.0 878.1

0. 375 602.5 1002.0

0.333 677.0 1126.0

0.300 751.5 1250.0

0.250 900.5 1499.0

0. 214 10 49.0 1747.0

0.187 1198.0 1995.0

0.167 1347.0 2243.0

0.150 1496.0 2491.0

0. 120 1869.0 3112.0

0.100 2241.0 3732.0

0.3486

C.4169

0.4885

0.5620 0.6385

C.7192

0.8011 0.8812

0.9611

1.041

1.123 1.205

289

373

458

546 631

789

930 054

166 271

367

456

539 617

690 2.855

2.999

3.128 3.244

3.446 3.619

3.770 3.9C5 4.136 4.329

497

644

776

054

280 472 638

784

915

333

498 644

775

001

193

358

505 635

912

0.2974

0.3522 0.4092

.4483

.4938 .5466

.5592 .5738

.5921

.6111 0.6296

0.6469

6628

6772

6901

7019

7108 7226

0. 7297 0.7346

0.7392

0.7433 0.7464

0.7487 0.7504

0.7516 0.7525

7537 7541

7541

7539

7532 7525

7518

7511

7501 7493

7487 7483 7479

7472 7468

7465

7463

7461 7460 7458 0.7457

0.7456 0.7455

.7455 .7454

.7453

.7453 .7452

.7452

.7451

CP VELOCITY

OF SOUND -R FT/SEC

0,,3011 1149.0

0..3685 1161.0

0,.4549 1164.0

0,,5375 1164.0

0,,6339 1152.0

0,,7398 1126.0

0,,8049 1107.0

0. 8762 1082.0

0,,9563 1053.0

1,,043 1022.0

1,.134 991.3

1.,229 961.5

1,,324 934.0

1.,415 909.9

1..496 890.1

1,,556 873.3

1,,591 362.4

1,,600 854.8

1. 573 859.3

1 ,544 869.9

1,,524 885.1

1,,503 903.6

1.,483 923.9

1.,464 944.7

1.,446 965.8

1..430 987.0

1.,415 1008.0

1,,383 1060.0

1.,359 1109.0

1.,340 1157.0

1.,325 1203.0

1.,303 1289.0

1. 289 1369.0

1.,279 1444.0

1.,271 1515.0

1,,261 1647.0

1.,255 1769.0

1,,252 1882.0

1,,249 1989.0

1.,247 2090.0

1,,245 2324.0

1.,243 2536.0

1.,242 2732.0

1. 242 2914.0

1.,242 3086.0

1.,241 3249.0

1.,241 3552.0

1..241 3832.0

1..241 4092.0

1. 241 4337.0

1. 241 4569.0

1..241 5001.0

1..241 5398.0

1. 241 5768.0

1. 241 6116.0

1. 241 6445.0

1. 241 7202.0

0.7451

TWO-PHASE BOUNDARY
300 PSIA ISOBAR

THEPMOPHYSICAL PROPERTIES OF HELIUM d

TEMPERATURE DENSITY

DEG. R L9/CU FT

|MDH/DV> V(OP/DU> -V(DP/DV>„

p

v T

BTU/L5 PSIA-CU FT/BTU PSIA

d,. 10.,71 71.3

5,,0 10.,6d d6.3

6,.0 10,,5d 36. d

7,,0 10..39 32.0

8..0 10..19 30.8

9,,0 9.,96 30.9

10 ill 9.,703 30.0 Hi,0 9.,d31 29.3

12..0 9..137 28.7

13,,0 8,,822 28.3

Id.,0 8.,d85 27.9

15..0 8. 128 27.5

16,.0 7,,753 27.2

17..0 7.,366 27.0

18.,0 6,,972 27.0

19.. 6.,577 27.2

20,, J 6,,193 27.6

22,,0 5,,523 29.1

2d,,0 d.,969 31.1

26,,0 d,.517 33.2

28,,0 d,,135 35.5

30,.0 3,,807 38.0

32..0 3.,528 dfl.5 3d..0 3,,283 d3.1

36,,0 3.,080 d5.8

38.,0 2,,897 d8.d

dO,,0 2,,736 51.1

d5,,0 2 ,dJ6 57.8

50.,0 2,,151 6d.6

55,.0 1. 9d7 71.3

60,,0 1.,781 77.9

70,.0 1,,52d 91.1

8C,.0 1.,33d lOd.O

90,,0 1,,188 117.0

100..0 1,,071 130.0

120.,0 0,,896d 155.0

IdO,,0 0. 7713 180.0

160,,0 u,,6772 205.0

180,,0 0.,6037 230.0

200,,0 0.,5dd7 255.0

250,,0 0. d379 318.0

300,,0 0.,3662 380.0

350,, J 0.,31d7 dd2.0

dOO,,0 0.,2760 50d.O

d50,,0 0,,2d57 566.0

500,.0 .,221d 628.0

600,,0 0,,18d9 752.0

700..0 o.,1587 876.0

800..0 0,,1390 1000.0

900.,0 0.,1236 1120.0

1000,,0 0,,llld 1250.0

1200 .0 0,,09288 1500.0

IdOC,,0 ,,07967 17dO.O

160C.,0 0,,0697d 1990.0

1800,,0 0,,06202 22d0.0

2000 .0 0,.05583 2d90.0

25uC,,0 0,,0dd69 3110.0

3GC0,.0 0,.03726 3730.0

3.99 3010.,0 6.29 2960,,0 8.0d 2770,,0 9.13 2530,,0 9.30 2270,.3 8.86 2010,,0 8.83 1780,,a 8.6d 1560.,0 8.32 1350.,0 7.97 1170.,0

7.61 1000,,0 7.25 85d. 6.92 731,.0 6.61 630,, J 6.33 550,,0 6.05 d88.,0 5.81 dd5,,0 5.d2 393,,0 5.13 368.,0 d.92 351,,0 d.77 339.,0 d.65 3 32,,0 d.55 327,,0 d.d7 32d,,0 d.dj 322.,3 d.3d 320.,0 d.29 319.,0 d.19 318,,0 d.12 317,,0 d.C6 317,,0 d.Cl 316,, 3.9d 316.,0 3.89 315., 3 3.85 31d,,0 3.82 31d,,0 3.77 312.,3 3.7d 311.,0

3.72 310,,3 3.71 309,,3 3.69 308,,0 3.67 307,,0 3.66 3C5,,0 3.65 305,,0 3.6d 30d.,3 3.63 30d,,0 3.63 303,,3 3.62 303,,0 3.62 302,,0 3.61 302,,3 3.61 302.,0 3.61 301.,0 3.61 301,,3 3.61 331,,3 3.60 301,,0 3.60 301.,3 3.63 301,,8 3.60 30C,,0

(DV/DT1/V THERMAL VISCOSITY THERMAL DIELECTRIC PRANDTL

P CONDUCTIVITY DIFFUSIVITY CONSTANT NUMBER

1/OEG. R 3TU/FT-HR-R LB/FT-SEC

X 10E+6

SQ FT/HR

0.00d22 0.0105 5.dd 0.00326 1.02100 3.561

C. 00796 0. 0128 5.29 0.C0326 1.02099 B.5d9

0.0125 O.OldO d.93 0.00291 1. 02098 8.579

0.0168 0.0151 d.56 0. 00273 1. 02095 3.585

C.0206 0.3161 d.21 0.00250 1.02093 0.595

0.0239 3.0170 3.90 0.83231 1.32082 8.609

C.0269 0.0173 3.65 0.G0228 1.02072 0.593

0. 0300 0.0185 3.d5 O.C022d 1.02058 0.589

C.0333 0.0189 3.28 0.00217 1.020d0 0.596

0.3368 0.0193 3. Id 0.00209 1.02018 0.612

0.0d07 0.319d 3.02 0.00202 1. 01990 0.635

C.0dd7 3.0195 2.92 0.00195 1.01956 0.665

0.3d87 O.C19d 2.8d 0.00189 1.01916 0.698

0.352d 0. 0193 2.77 0.00185 1.01869 0.733

0.055d 0.0191 2.72 0.00183 1. 01816 3.767

C.3572 0.0189 2.68 0.00135 1.01758 0.79d

0.0575 0.0187 2.65 0.00190 1.01697 3.811

C.0550 0. 018d 2.63 0.00208 1.01575 3.822

0.0506 0. 0183 2.6d 0. 00235 1. 01d6d 8.815

0.0d65 O.OlSd 2.67 0.0026d 1.01366 3.837 0.0d29 0.0185 2.71 0. 0029d 1.01277 0.803

0.0396 0.0187 2.75 0.00326 1.01197 0.798

0.0366 0.0189 2.81 0.00361 1.01126 0.792

0.03d0 0.0192 2.86 0.00398 1.01062 8.787

C.0316 0.0195 2.92 0.00d37 1.01006 3.781 0.0295 0. 0198 2-98 O.COd77 1.00955 3.775

0.0277 0.0201 3.Cd 0.00519 1.00909 3.770

0.0239 0.C2C9 3.19 0.00629 1.00813 0.759

C.0210 0.0213 3.35 0.007d7 1.00736 0.750 0.0188 0.0227 3.50 0.00871 1.0O673 0.7d3

0.0170 0.0236 3.65 0.0103 1.00620 0.738

0.01d3 0. 025d 3.95 0.0128 1.00537 0.729

C.312d 0. C272 d.2d 0.C158 1.00d75 0.723 0.0109 0.0290 d.52 0.C191 1.381.25 0.718 0.00980 0.0307 d.79 0.0226 1.30336 0.713

C. 00813 0.03d2 5.31 0.0302 1.00325 0.706 0.00696 0. 0375 5.81 0.0387 1.30282 0.700

C. 00609 O.Cd07 6.28 o.Odeo 1.002d8 0.695

0.005d2 0.0d38 6.7d 0.0581 1.00222 0.691 0.00d88 0.0d69 7.05 0.0690 1. 00201 0.675

C. 00392 0.05d2 8.12 0.0995 1.00162 0.671

C. 3 327 0.0612 9.12 0.13d 1.00136 0.668

C. 00281 0.0673 10.1 0.173 1.00117 0.666 C.002d6 0. 07d0 11.0 0.216 1.00103 0.665

C. 00219 0.0800 11.9 0.262 1.00392 0.665

0. 00198 0.0857 12.8 0.312 1. 00083 0.666 0.00165 0.0967 ld.d 0.d22 1.00869 0.667

C.001d2 0.108 16.0 0.5d6 1.03060 0.667 C.0012d 0.118 17.6 0.683 1.00052 0.667

C. 00110 0.128 19.1 O.B3d 1.0001.6 0.667

C. 00C99d 0.138 20.5 1.00 1. 000d2 0.667

C. 000329 0.156 23.3 1.36 1.80035 0.666

C. 000711 0.17d 26.0 1.76 1.00030 0.666

C. 0OC623 0.192 28.6 2.21 1.00026 0.666

0. 00055d 0.208 31.0 2.70 1.00323 0.666 C.O0Cd99 0.22d 33.

d

3. 2d 1.80021 3.666

r. 000399 0.263 39.2 d.7d 1.00017 0.666

C. 000333 0.299 dd.6 6.d7 1. BBOld 8.666

TWO-PHASE BOUNDARY
1.0 J PSIA IS03AR THERMODYNAMIC PROPERTIES OF HELIUM l»

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/P BTU/LB BTU/LB

"..0 0.09055 316.0 17.9 1.687 8.391. 5.0 0.09101. 321.0 21..

2

1.897 8.61.1 6.0 0.03181 310.0 35.6 2.171. 8.975

7.0 0.09291. 291.. 1.1.. 3 2.516 9.1.00 e.o 0.091. ".I 271.. 1.9.2 2.938 9.931

9.0 0.09521 255.0 51.2 3.1.65 10.59

11. 0.09421. 237.

C

51.5 1..0 57 11.33

11.0 0.1005 219.0 50.8 1..661. 12.11

12.0 0.1G29 201.0 1.9.6 5.313 12.91. 13.0 O.1057 185.0 1.8.1 6.007 13.81.

lit.

a

0.1088 169.0 1.6.3 6.71.6 li.. 80 15.0 0.1122 155.0 1.1..

3

7.531 15.81. 16.0 O.1160 11.2.0 1.2.1 8.360 16.96

17.0 0.1203 131.0 39.9 9.233 18.11. ie.o G.12-.9 121.0 37.7 10.11. 19.1.0 19.0 0.1302 113.0 35.1. 11.11. 20.78

20.0 0.1359 106.0 33.1 12.16 22.23

22.0 0.11.81. 98.2 28.9 li.. 25 25.21.

2<». 0.1620 95.5 25.3 16.32 28.31

26.0 0.1760 96.2 22.3 18.32 31.36

28.0 0.19J1. 98.5 19.9 20.25 31*. 35 30.0 0.2053 102.0 18.1 22.13 37.31. 32.0 0.2203 106.0 16.5 23.99 1.0.31

3<t. 0.2351. 111.0 15.1 25.82 1.3.26 36.0 0.2506 116.0 lit. 27.62 1.6.18 38.0 0.2657 121.0 13. 29.1.0 1.9.08

<»0.0 0.2809 127. o 12.1 31.15 51.96

i>5.0 0.3185 11.1.0 10.1. 35.1.6 59.01. so.o 0.3557 156.0 9.11 39.66 66.00

55.0 0.3925 171.0 8.11 1.3.78 72. 85 6C.0 0.1.288 186.0 7.31 1.7.81. 79.61

70.0 0.5006 215.0 6. 11 55.83 92.91

80.0 0.5712 21.1.. 5.26 63.70 106. 9C.0 0.61.10 273.0 U.62 71.1.7 119.

C

100.0 0.7103 301.0 **.12 79.19 131.8 120.0 0.81.75 357.0 3.1.0 91.. 1.8 157.3

11.0.0 0.9837 1.12.0 2.89 109.7 132.5

160.0 1.119 1.67.0 2.52 121..

8

237.7

180.0 1.251. 521.0 2.23 139.8 232.7

200.0 1.389 575.0 2.01 151..

9

257.7 250.0 1.725 710.0 1.60 192.1. 32 0.1 300.0 2.060 81.1..0 1.33 229.8 382.3

350.0 2.395 978.0 1.11. 267.1 1*1*1*.

5

1.00.0 2.730 1110.0 1.00 301.. i. 506.6

1.5C.0 3.065 1250.0 0. 888 31.1.7 568.7

5C0.0 3.399 1380.0 3.799 379.0 630.8

600.0 1..069 1650.0 0.666 1.53.6 751*.

9

700.0 <t.738 1910.0 0.571 528.1 879.0 BOO.O 5.1.07 2180.0 0.1.99 602.6 1003.0 900.0 6.077 21.50.0 0. 1.1.1. 677.1 1127.0 1000.0 6.71.6 2720.0 0. 399 751.6 1251.0 1200.0 8.085 3250.0 0.333 900.7 1500.0

11.0 0. 9.1.2'* 3790. 0.285 1050.0 171.8.1 16C0.0 10.76 1.320.0 0.250 1199.0 1996.0

180C.0 12.10 1.860.0 0.222 131.8.0 221*1*. a 2000.0 13.1.1. 5390.0 0.20C 11.97.0 21.92.0 2500.0 16.79 6730.0 0.16 1869.0 3113.0

BTU/LB-R

.3370 .3999

.1.661

.531.1 .6052

.6801. .7566 0.8306

0.9037

0.9761.

01.9 122

19". .267

31.0 1.15

1.90 636

771 893

005

108 2C3

293

376

1.55 529 695

81.2 973

090 295

1.70 623

758

990 185

1..353

1..501

1..632

1..911 5.138 5.329

5.1.95

5.61.1 5.772 5.999

6.190 6.356 6.502

6.632

.859

.05G .216

.362

.1.93 .770

0.2596

0.3301.

0.381.1 0.1.255

0.1.750 0.5315

0.51.69

0.5631. 0.5828

0.6021.

.6210

.6382

.6537

.6677

.6801

.6923 .7019

.7155

0.721.3 0.7303

0.7357

0.71.06

0.71.1.5 0.71.75

0.71.98 0.7516 0.7529

7550 7559

7561

7560

7551.

751.6 7538

7531 0.7518

0.7508 0.7501

0.71.95

0.71.90 0.71.81

0.71.75

0.71.71

0.71.68

0.71.66

0.71.61. 0.71.62

0.71*60 0.71.59

0.71.58

0.71.57

0.71.55

0.71.55

0.71.55

0.71.51. 0. 7i»5<* 0.71.53

CP VELOCITY

OF SOUNO

-R FT/SEC

.2657 1221..

C

0,,31.1.1. 121.5.0

.1.221. 1257.0

0,.5003 1261..

0..5916 1258.0

0,.6906 1238.0

0..71.7 1221.. Q

0,,8061* 1201.. .8713 1180.0

0,.9393 115<*.

1..009 1128.0

1..080 1102.0

1 .151 107S.0

1,.221 1051*.

1,.289 1033.0

1 .353 1011.0

1,,1.06 993.7

1..1.77 969.3

1,,503 958.3

1..501 957.0

1,.1.95 962.9

1 .1.69 971*.

1 .1.80 987.8

1 ,1.69 1003.0

1,,1.56 1020.0

li.1.1.1. 1038.0

1.,1.32 1056.0

1,.1.01. 1102.0

1..300 111*8.0

1 ,360 1193.0

1 ,3i*i* 1236.0

1,.319 1319.0

1,,301 1397.0

1,,289 H.71.0

1,,280 151.0.0

1,,268 1670.0

1,,260 1791.0

1,,255 1903.0

1,,252 2008.0

1. 21.9 2109.0

1,,21.6 231.0.0

1.,21*1. 2551.0

1,,21.3 271.5.0

1.,21.2 2927.0

1.,21.2 3098.0

1. 21*2 3260.0

1. 21.1 3562.0

1,,21.1 381*0.

C

1,,21.1 1.100.0

1,,21.1 1*31*1*. 1.,2<*1 1*575.0

1. 21.1 5006.0

1,,21*1 51*03.0

1. 21.1 5772.0

1.,21*1 6119.0

1.,21.1 61.1.8.0

1.,21*1 7201*. c 7.996 0.71.53

TWO-PHASE BOUNDARY
*0J P5IA ISOBAR

THERMOPHYSICAl PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY DEC R LO/CU FT

VIDP/OU) -V(DP/OV)

3TU/L9 PSIA-CU FT/BTU PSIA

(DV/OTI/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E*6

THERMAL DIELECTRIC DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

4.0 11.0* 51.9 6.23 3*90.0 0.00512 0.0110 6.63 0.00373 1.02102 0.576

5.0 10.98 50.1 6.68 3530.0 0.00687 0.013* 6.29 0.00355 1.02102 0.531

6.0 10.89 *0.0 8.52 3380.0 0.0105 0.01*7 5.80 0.00319 1.02101 0.600

7.0 10.76 35.7 9.67 3160.0 0. 01*0 0.0159 5.30 0.00295 1.02101 0.601

e.o 10.59 3*.

9

9.79 2910.0 0.0169 0.0170 *.86 0.00272 1.02099 0.608

9.0 10.39 35.7 9.27 2650.0 C.019* 0.0181 4.48 0.00252 1.02095 0.616

10.0 10.18 35.0 9.25 2*10.0 C.021* 0.0190 4.18 0.00250 1. 02090 0.591

11.0 9.95 3*.

5

9.07 2180.0 0.023* 0.0198 3.9* 0. 00247 1.02082 0.577

12.0 9.71* 3*. 3 8.77 1950.0 0. 025* 0.020* 3.7* 0.00242 1.02072 0.57*

13.0 9.lt6J 3*.l 8.** 1750.0 0.0275 0.0209 3.57 0.00236 1.02060 0.578

lit. 9.192 33.9 8.10 155C.0 0.0298 0. 0213 3.44 0.00229 1.020** 0.587

15.0 8.911 33.7 7.78 1380.0 C.0320 0.0215 3.32 0.00223 1.0202* 0.601

16.0 8.613 33.5 7.*8 1230.0 C.03*3 0.0216 3.23 0.00218 1.02001 0.619

17.0 8.315 33.* 7.19 1090.0 C.0366 0.0216 3.15 0.00213 1.0197* 0.6*0

ie.o 8.00* 33.2 6.93 972.0 0.0388 0.0216 3.08 0.00209 1.019*3 0.663

19.0 7.682 33.2 6.65 868.0 0.0*07 0.021* 3.02 0.00206 1.01908 0.686

20.0 7.360 33.3 6.*1 783.0 0.0*23 0.0213 2.98 0.00206 1.01868 0.708

22.0 6.738 33.9 5.99 662.0 0.0*36 0.0210 2.92 0. 00211 1. 01782 0.7*0

2 It. 6.173 35.1 5.65 5 90.0 0.0*28 0.0203 2.90 0.00224 1.01692 0.755

26.0 5.680 36.8 5.37 5*6.0 0.0*08 0.0206 2.90 0.00242 1.01605 0.760

26.0 5.251 38.8 5.16 517.0 0.0386 0.0206 2.93 0.00263 1.01522 0.76*

30.0 *.872 *0.9 5.00 *96.0 C.036* 0.0207 2.96 0.00285 1.01444 0.768

32.0 11.5*0 *3.2 *.87 *81.0 0.03*2 0.0207 3.00 0.00309 1.01371 0.769

31.. *.2*8 *5.6 *.76 *70.3 0.0322 0. 0209 3.04 0.00335 1.01304 0.769

36.0 3.991 *8.1 *.67 *62.0 0.0303 0.0211 3.09 0.00363 1-01242 0.768

38.0 3.763 50.6 *.59 *55.0 0.0285 0.0213 3.14 0.00392 1.01186 0.767

i»0.0 3.561 53.2 *.52 *51.0 0.0269 0.0215 3.19 0.00*22 1.0113* 0.76*

1.5.0 3.1*0 59.7 *.39 **3.0 0.0235 0. 0222 3.33 0.0050* 1.01022 0.758

50. u 2.812 66.3 *.29 *38.0 0. 0208 0.0230 3.48 0.00592 1.00931 0.752

55.0 2.5*8 73.0 *.21 *35.0 0.0186 0.0238 3.62 0.00686 1.00855 0.7*6

60.0 2.332 79.6 *.l* *33.0 0.0169 0.02*6 3.77 0.00785 1.00791 0.7*0

70. 1.998 92.8 *.05 *30.0 0.01*2 0.0263 4.05 0.0100 1.00689 0.732

80.0 1.751 106.0 3.98 *28.0 0.0123 0.0280 4.33 0.0123 1.00611 0.725

9C.iJ 1.560 119.0 3.93 *26.0 0.0108 0.0297 4.61 0.01*8 1.005*9 0.719

100. 1.408 132. u 3.89 *2*.Q C. 00971 0.031* 4.87 0.017* 1.00*99 0.715

120. 1.180 157.0 3.83 *22.0 C. 00806 0.03*7 5.38 0.0232 1.00*23 0.707

11)0.0 1.017 183.0 3.79 *19.0 0.00690 0.0383 5.87 0.0297 1.00367 0.701

16C.U 0.8935 208.0 3.76 *17.0 0.0060* 0.0*12 6.34 0.0367 1.0032* 0.696

16C.0 0.7973 233.0 3.7* *16.0 0.00538 0.0**3 6.79 0.0*** 1.00291 0.691

200.0 0.7200 258.0 3.72 414.0 C. 00*85 0. 0*73 7.11 0.0526 1.00263 0.675

25L.0 0.5798 320.0 3.69 412.0 0.00389 0.05*6 8.16 0.0756 1.00213 0.671

3.0.0 0.*85* 382.0 3.67 *10.Q 0.00325 0.0615 9.16 0.102 1.00179 0.667

35C.0 0.*175 ***.o 3.66 *08.0 0.00280 0.0681 10.1 0. 131 1. 00155 0.665 400.0 0.3663 506.0 3.65 *07.0 0.002*5 0.07*3 11.0 0.163 1.30136 0.66*

45C.0 0.3263 568.0 3.6* *06.0 0.00218 0.0802 11.9 0.198 1.00122 0.66*

50C.0 0.29*2 631.0 3.6* *06.0 0.00197 0.0859 12.8 0.235 1.00110 0.665

600.0 0.2*58 755.0 3.63 *05.0 0.00165 0.0969 14.5 0.318 1.30092 0.666

700. 0.2111 879.0 3.62 *o*.o 0.001*1 0.108 16.1 0.411 1.00079 0.666

800.0 0.18*9 1000.0 3.62 *03.0 0.3012* 0. 118 17.6 0.51* 1.00069 0.666

900.0 0.16*6 1130.0 3.62 *03.0 0.00110 0.128 19.1 3.627 1.03062 0.666

1000. 0- 1*82 1250.0 3.61 *03.0 0.000992 0.138 20.5 0.7*9 1.00056 0.666

120C.0 0. 1237 1500.0 3.61 *02.0 0.000828 0.156 23.3 1.02 1.000*6 0.666

l*uO . u 0.1061 1750.0 3.61 *Q2.0 C.00071C 0.17* 26.0 1.32 1.000*0 0.666

1600.0 0.09291 1990.0 3.61 *01.0 0.000622 0.192 28.6 1.66 1.00035 0.666

1800.

J

0.08263 22*0.0 3.60 *01.0 0.000553 0.208 31.0 2.03 1.00031 0.666

2000.0 0.u7*39 2*90.0 3.63 401.0 0.000*98 0.22* 33.4 2.*3 1.30028 0.666 25CC.0 0.05956 3110.0 3.60 401.0 0.000399 0.263 39.2 3.56 1.00022 0.666

3000.0 0.0*965 3730.0 3.60 401.0 C. 000333 0.299 44.6 4.86 1.00019 0.665

TWO-PHASE iOUNOARY

89
THERMODYNAMIC PROPERTIES OF HELIUM It 5GJ PSIA ISOBAR

EMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

OEG. R CU FT/L3 CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB

It.

3

0. J831G 31.2.0 27.3 1.837 9.99

5.0 G. 08863 358.0 26. 5 2.021. 10.23

e. o 0.08931 353.0 37.2 2.269 10.51.

7. 0.09028 339.0 46. 1 2.575 10.93

6.0 0.09152 321.0 51.lt 2.961 11.1*3 9.0 0.09301 303. 53. 7 3.lt5C 12.06

10.0 0.09"t67 286.0 5 it. 3 It. 002 12.77

11.0 U. 09646 268.0 54.0 it. 567 13.50

12.0 0.09343 250.0 53.1 5.168 lit. 28 13.0 0.1G J6 233.0 51.9 5.809 15.12

Ht. 0.1029 217.0 50.1. 6.1.89 16.02

15.0 G.1055 202.0 1.8.8 7. 209 16.98

16.0 0.1033 189.0 1.7. G 7.967 18.00

17.0 G.llltt 176.0 1.5.1 8.761 19.08

16.0 Q.llltS 165.0 1.3.2 9.590 20.21

19.0 0.1181. 155.0 1.1. u 10.51 21.1.7 2C.0 0.1221. 11.5.3 38.9 11.1.5 22.79

22.0 0.1311 132. 34.9 13.1.1 25.55

2it.O 0.1408 123.0 31.1 15 .1.0 28. it it 26.0 0.1512 120.0 27. a 17.36 31.38

26.0 0.1619 119.0 25.1 19.30 3 it. 30 30.0 0.1731 120.0 22.8 21.17 37.20

32.0 0.181.6 123.0 23.9 23.03 1.0. 12

3lt.O 0.1962 126.0 19.2 21.. 86 1.3.03 36.0 0.2080 13C.0 17. 8 26.68 1.5.91. 36.0 0.2199 131.. 16.5 28.1.7 1.8.83

itc.a 0.2318 139.0 15.1. 30.25 51.70

itS.O 0.2615 152.0 13.2 31.. 60 58.82

5 CO 0.2912 166.0 11.6 38.87 65.83

55.0 0.320 7 180.0 10. 3 1.3.05 72.71. 6C.0 0.31.99 195.0 9.27 1.7.17 79.56

70.0 0.1.076 221.. 7.73 55.26 93. 00 80.0 0.1.61.5 253.0 6.61. 63.20 106.2

90.0 0.5207 282.0 5.82 71.01. 119.3

100.0 0.5761. 311.0 5.19 78.81 132.2 12G.0 0.6867 367.0 it. 26 9It. 20 157.8

lltO.O 0.7960 It22.0 3.63 109.5 183.2

16C.0 0.90*6 1.77.0 3.16 121..

6

208.1. 160.0 1. J13 531.0 2.80 139.7 233.5

200. 1. 121 585-0 2.51 151..

8

258.5

25C.0 1.390 720.0 2. 00 192.3 321.

n

360. 1.658 851.. 1.67 229.8 383.3

350.0 1.926 988.0 1.1.3 267.1 1.1.5.1. itOC.O 2.191. 1120.0 1.25 301..

5

507.6

it50.0 2.i»61 1260.0 1. 11 31.1.8 569.7 500.0 2.729 1390.0 1.0 379.1 631.8

600.0 3.261. 1660.0 0.832 1.53.7 755.9

7C0.0 3.800 1920.0 0.713 528.2 880.; 600.0 4.335 2190.0 0.621. 602.8 1001.. 9GC.0 it. 870 21.60.0 0.555 677.3 1123.0

1000. 5.1.06 2720.0 0.1*99 751.8 i252.0

1200.0 6.lt73 326G.0 0.1.16 900 .8 1500.

3

11.00.0 7.51.7 3790.0 0. 357 1050.0 171.9.0 1600.0 8.618 4330.0 0.312 1199.

G

1997. 1800.0 9.689 1.860.0 0.277 131.8.0 221.5.0 2GGG.0 10.76 51.00. 0.250 11.97.0 2it93.0 250C.0 13. It It 671.0.0 0.2U0 1869.

G

3111..

ENTROPY 8TU7LB-R

3238

3851

1.1.73 5110 5781 6U93

7216

7915

8605 9286 C.996

1.063

1.130 1.196

1.262 1.331

1.399

1.533

1.660

1.778 1.687 1.987

2.081 2.169

2.252

2.331

2.1.01.

572

720 852

97C

177

351. 508

3. 6 <t it 3.877

it. 073 4.241

it. 389 4.521

4.80G 5.027

5.219

5.38lt 5.531 5.662

5.888 6.079

6.245 6.391

6.522

6.71.8 6.939

7.105

7.251

7.362 7.659

cv CP VELOCITY

OF SOUND

BTU / LB -R FT/SEC

a.,2511 0.2636 1290.0

0,,311.1. 0.3287 1317.0

o..3619 0.3967 1338.0

,1.053 0.4714 1351.0

0,,4587 0.5605 1349.0

0.,5188 0.6561 1332.0

0.,5369 0.7082 1321.0

,5553 0.7616 1304.

C

0,,5759 0.8190 1283.0

a..5964 0.8779 1261.0

0,,6155 0.9373 1238.0

0.,6330 0.997 1215.0

0,,6487 1.G56 1193.0

0..6627 1.114 1172.0

0,,6751 1.171 1151.0

0.,6876 1.225 1129.0

0..6975 1.276 1110.0

0.,7120 1.359 1079.0

,7216 1.413 1058.0

a.,7283 1.438 1047.0

o.,7339 1.450 1045.0

0..7390 1.457 1049.0

0,,7431 1.458 1057.0

,7465 1.455 1067.0

0..7492 1.449 1080.0

,7513 1.442 1093.0

0,,7530 1.434 1108.0

0.,7557 1.412 1146.0

0,,7571 1.392 1189.0

0..7577 1.373 1231.0

0,,7578 1.357 1272.0

0..7574 1.331 1351.0

0.,7566 1.312 1427.0

0,,7557 1.298 1498.0

0,.7549 1.288 1566.0

0,,7535 1.273 1694.0

0..7523 1.264 1813.0

0,,7514 1.258 1923.0

0..7506 1.254 2028.0

0,,7500 1.251 2127.0

0,,7489 1.247 2356.0

0,,7482 1.245 2565.0

0..7477 1.243 2758.0

0,,7474 1.242 2939.0

0,,7471 1.242 3109.0

0,,7469 1.242 3270.0

0.,7465 1.241 3571.0

0.,7463 1.241 3849.0

0.,7462 1.241 4107.0

0..7461 1.241 4351.0

0,,7460 1.241 4582.0

0,,7458 1.241 5012.0

0,,7457 1.241 5403.0

G. 7456 1.241 5776.0

0.,7456 1.241 6123.0

0,,7455 1.241 6452,0

0.,7454 1.241 7207.

C

7.885

TWO-PHASE 30UNOARY
500 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE OENSITY

OEG. R LB/CJ FT

VIDH/DV) V(DP/OU) -VIDP/OV),,

p v T

8TU/L8 PSIA-CU FT/BTU PSIA

(DV/DT>/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R 9TU/FT-HR-R LB/FT-SEC

X 10E + 6

THERMAL DIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

4.0 11.35 37.5 9.59 388G.0 0. 00701* 0.0111. 7.91 0. 00380 1.02100 0.660

5.0 11.28 50.2 7.1(7 1.01.0.0 0.00655 0.011*0 7.39 0.00378 1.02100 0.624

6.0 11.20 1*2.1 9.18 3950. 0. 0091.2 0.0153 6.72 0.00345 1.02101 0.625

7.0 11.08 38. 4 10.3 3750.0 0.0123 0.0166 6. 08 0.00318 1.02102 0.621

6.0 10.93 38.3 10.2 3510.0 0.011(6 0.0179 5.53 0.00292 1.02102 0.625

9.0 10.75 39.8 9.63 3260.0 0.0165 0.0190 5.07 0.00270 1.02101 0.630

1D.0 10.56 39.lt 9.58 3020.0 0. 0180 0.0201 1*.71 0.00268 1.02098 0.598

11.0 10.37 39.1 9.38 2770.0 0.0195 0.0210 <*.<*Z 0.00266 1.02094 0.578

12.0 10.16 39.2 9.08 251.0.0 0.0209 0.0217 4.18 0.00261 1. 02089 0.568

13. 9.91(2 39.2 6.76 2320.0 C.0224 0.0223 3.99 0.00256 1. 02082 0.565

11.. 9.71i» 39.2 8 . i*i* 2110.0 C.0239 0.0228 3.83 0.00250 1.02072 0.567

15.0 9.1*75 39.2 8.11* 1920.0 0.0251. 0.0231 3.69 0.00245 1.02360 0.573

16.0 9.230 39.1 7.85 171.0.0 C.0270 0.0231* 3.58 0. 00240 1.02046 0.582

17.0 8.975 39.1 7.58 1580.0 0. 0285 0.C235 3.1*8 0.00235 1.02029 0.595

ie.o 8.714 39.0 7.3l( 11.1.0.0 0.0300 0.0235 3.1.0 0.00231 1.02009 0.609

19.0 8 . 1*1*14 39.0 7.07 1300. 0.0315 0.0235 3.34 0.00227 1.01986 0.626

20.0 6.171 38.9 6.83 119D.0 0.0328 0.0235 3.28 0.00225 1.01960 0.642

22.0 7.625 39.1 6.1(2 1000. 0.031.7 0.0232 3.20 0.00224 1.01901 0.674

24.0 7.1UJ 39.8 6.07 677.0 0.0355 0.0230 3.15 0.00229 1.01834 0.697

26.0 6.615 1*1.0 5.77 793.0 C.0351 0.0228 3.13 0.00240 1.01764 0.712

28.0 6.175 1.2.6 5.53 737.0 0.031.0 0.0227 3.14 0.00253 1.01693 0.723

3G.0 5.77b i*i(.5 5.3i( 696.0 0.0328 0.0226 3.15 0.00268 1.01623 0.732

32.0 5.1(17 1(6.5 5.18 666.0 C.0313 0.C226 3.18 0.C0286 1. 01555 0.739

34.0 5.096 1.8.7 5.05 61.3.0 0.0299 0.0226 3.21 0.00305 1.01491 0.744

36.0 i(.807 51.0 i(.93 625.0 C.0284 0.0227 3.25 0.00326 1.01430 0.747

38.0 l(.5i*3 53.1* <*. 8<f 612.0 0.0270 0. 0228 3.33 0.C0348 1.01373 0.749

40. 4.315 55.8 i(.75 601.0 0.0257 O.C230 3.34 0.00372 1.01319 0.750

<»5. Q 3.823 62.1 4.58 582.0 0.0228 0.0235 3.47 0. 00435 1.01201 0.750

50.0 3.l(3i( 66.5 4.46 570.0 0.0203 0.021.1 3.60 0.00505 1.01101 0.747

55.0 3.118 75.0 1*.36 562.0 0.0183 0.C248 3.74 0.00580 1.01016 0.744

60.0 2.858 81.6 4.28 557.3 C. 0166 0. 0256 3.87 0.O0660 1.00944 0.740

70.0 2.1(53 91*.

7

4.16 550.0 C. 011.1 0.0272 4.15 0.00832 1.00827 0.732

80.0 2.153 108.0 4.07 51.5.0 0.0122 0.C288 4.42 0. 0102 1.00736 0.726

90.0 1.92J 121.0 4.01 51(2.0 0.0137 0.0301. 4.69 0.0122 1.00664 0.721

100.0 1.735 131.. 3.96 539.0 C. 00963 0.0321 4.95 0.0144 1.00606 0.716

120.0 1.1(56 159.0 3.89 531.. 0.00799 0.0353 5.45 0.0190 1.00515 0.708

14G.0 1.256 185.0 3. St. 530.0 0.00681. 0.0385 5.94 0.0243 1. 00448 0.701

160.0 1.105 210.0 3.80 527.0 C. 00599 0.01.17 6.40 0.0300 1.03397 0.696

180.0 0.987i( 235.0 3.77 525.0 C. 00533 0. 01*1*7 6.85 0.0361 1.00357 0.691

200-0 0.8923 260. 3.75 522.0 0.001.81 0.01.77 7.16 0.0428 1. 00324 0.675

250.0 0.7196 323.0 3.72 516.0 C. 00386 0.0550 8.21 0.0613 1.00263 0.570 300.0 0.6032 385.0 3.69 515.0 0.00323 0.0619 9.20 0.0824 1.00222 0.667 350.0 0.5193 1*1(7.0 3.68 513. 0.00278 0. 0681* 10.2 0.106 1.00192 0.665 4GG.0 0.1(559 509.0 3.66 511.0 0.0021.1. 0.071(6 11.1 0.132 1.00169 0.664

1)50.0 0.1(063 571.0 3.65 510.0 C. 00218 0.0805 11.9 0.159 1. 00151 0.664

500.0 0.3661* 633.0 3.65 509.0 0.00196 0.0861 12.8 0.189 1.00136 0.664

60C.0 0.3063 757.0 3.61. 507.0 C. 00161. 0.0971 14.5 0.255 1.00114 0.666

71,0.0 0.2632 881.0 3.63 536.0 C. 0011*1 0.108 16.1 0.330 1.00098 0.666

800.0 0.2307 1000.0 3.62 505.0 C. 00123 0.118 17.6 0.413 1.00086 0.666

900.0 O.2053 1130.0 3.62 505.0 0. 00110 0. 128 19-1 0.503 1.00077 0.666

1000. 0.1850 1250.0 3.62 501.. C.00099C 0.138 20.6 0.601 1.00069 0.666

1200. 0. 15i*i* 1500.0 3.61 503.0 0.000827 0.157 23.3 0.817 1.00058 0.666

14C0.0 0.1325 1750.0 3.61 503.0 C. 000710 0.171( 26.0 1.06 1.00050 0.666

160G.O 0.1160 2000.0 3.61 502.0 0. 000621 0.192 28.6 1.33 1.00044 0.666

1800.0 0.1032 221(0.0 3.61 502.0 C. 000553 0.208 31.0 1.63 1.00039 0.666

20CC.0 0.09293 21(90.0 3.60 502.0 0.OOG498 0.221* 33.4 1.95 1.00035 0.666

2500.0 0.071*1(1 3110.0 3.60 501.0 C. 000399 0.263 39.2 2.85 1.00028 0.6-66 3000.0 0.06201* 3730.0 3.60 501.0 0.000332 0.299 44.6 3.89 1.00023 0.665

THO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 600 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM OERIVATIVE

ISOCHORE DERIVATIVE

INTERNAL ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUND EG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU / LB -R FT/SEC

lt.1) 0.08593 361.0 42.0 1.992 11.54 0.3072 0.2719 0.2987 1355.0

5.0 0.08655 391.0 30.6 2.165 11.78 0.3712 0.3050 0.3216 1381.0

6.0 0.08720 391.0 39.5 2.384 12.07 0.4307 0.3432 0.3769 1410.0

7.0 0.08807 381.0 48.1 2.660 12.44 0.4910 0.3877 0.4487 1428.0

8.0 0.08915 365.0 53.4 3.016 12.92 0.5549 0.4447 0.5366 1429.0

9.0 0.0901.1. 31.8.0 55.8 3.476 13.52 0.6232 0.5080 0.6303 1414.0 ICO 0.09185 331.0 56.6 3.998 14.20 0.6926 0.5286 0.6799 1405.0

11.0 0.09336 311.. 56.5 4.531 14.90 0.7597 0.5487 0.7296 1390.0

12.0 0.09<.99 296.0 55.9 5.098 15.65 0.8256 0.5705 0.7824 1371.0

13.0 0.09677 279.0 55.0 5.701 16.45 0.8905 0.5917 0.8359 1351.0

14.0 0.09870 263.0 53.8 6.340 17.31 G.9546 0.6113 0.8892 1331.0

15.0 0.1008 21.8.0 52.4 7.015 18.21 1.018 0.6292 0.9420 1310.0

16.0 0.1030 233.0 50.9 7.724 19.17 1.081 0.6451 0.9939 1290.0

17.0 0.1051. 220.0 49.2 8-466 20.18 1.143 0.6594 1.045 1270.0

18.0 0.1080 208.0 47.5 9.239 21.24 1.205 0.6720 1.094 1252.0

19.0 0.1108 196.0 45.6 10.10 22.42 1.269 0.6847 1.143 1231.0

20.0 0.1139 185.0 43.6 10.99 23.64 1.333 0.6949 1.188 1212.0

22.0 0.1205 168.0 39.8 12.85 26.23 1.458 0.7101 1.268 1178.0

2".. 0.1278 155.0 36.1 14.76 28.96 1.578 0.7204 1.331 1153.0

26.0 0.1357 148.0 32.7 16.70 31.78 1.692 0.7275 1.372 1135.0

28.0 0-11.1.1 144.0 29.8 18.58 34.59 1.797 0.7333 1.398 1127.0

3C.0 0.1529 142.0 27.3 20.42 37.41 1.894 0.7383 1.417 1125.0

32.0 0.1620 143.0 25.1 22.26 40.26 1.986 0.7426 1.427 1127.0

34.0 0.1713 144.0 23.2 24.08 43.12 2.072 0.7460 1.432 1133.0

36.0 0.1808 147.0 21.5 25.89 45.98 2.154 0.7488 1.432 1141.0

38.0 0.1901. 150.0 20.0 27.69 48.84 2.232 0.7512 1.430 1152.0

".0.0 0.2001 154.0 18.7 29.47 51.70 2.305 0.7530 1.427 1163.0

1*5.0 0.22".5 165.0 16.1 33.86 58.80 2.472 0.7563 1.413 1196.0

50.0 0.21.90 178.0 14.1 38.16 65.82 2.620 0.7580 1.397 1233.0

55.0 0.2735 192.0 12.5 42.38 72.77 2.753 0.7589 1.381 1270.0

60.0 0.2978 206.0 11.2 46.54 79.63 2.872 0.7593 1.366 1309.0

7C.0 0.31.60 234.0 9.36 54.71 93.16 3.081 0.7591 1.341 1384.0

80.0 0.3937 263.0 8.03 62.73 106.5 3.258 0.7584 1.321 1457.0

90.0 0.1.1.07 292.0 7.03 70.63 119.6 3.413 0.7575 1.306 1526.0

100.0 0.1.873 320.0 6.26 78.1.5 132.6 3.550 0. 7566 1.295 1593.0

120.0 0.5796 376.0 5.14 93.92 158.3 3.784 0.7550 1.279 1718.0

140.0 0.6709 432.0 4.36 109.2 183.8 3.981 0.7537 1.268 1835.0

160. 0.7616 487.0 3.80 124.5 209.1 4.150 0.7527 1.261 1944-0

180.0 0.8519 541.0 3.36 139.6 234.2 4.298 0.7518 1.257 2047.0

200.0 0.91.19 595.0 3.02 154.7 259.3 4.430 0.7511 1.253 2145.0

250.0 1.166 730.0 2.40 192.3 321.9 4.709 0.7498 1.248 2372.0

300.0 1.390 864.0 2.00 229.8 384.2 4.936 0.7489 1.245 2580.0

350.0 1.613 1000.0 1.71 267.2 446.4 5.128 0.7483 1.244 2772.0

1.00. 1.336 1130.0 1.50 304.5 508.5 5.294 0.7479 1.243 2951.0

45C.0 2.059 1260.0 1.33 341.9 570.7 5.440 0.7476 1.242 3120-0

500.0 2.282 1400.0 1.20 379.2 632.7 5.571 0.7473 1.242 3281.0

600.0 2.728 1670.0 1.00 453.8 756.9 5.798 0.7469 1.241 3580.0 700.0 3.171. 1930.0 0.855 528.4 881.0 5.989 0.7467 1.241 3857.0

800.0 3.620 2200.0 0.748 602.9 1005.0 6.155 0.7465 1.241 4115.0

900.0 if. 1)66 2470.0 0.665 677.4 1129.0 6.301 0.7463 1.241 4358.0

1000.0 4.512 2730.0 0.599 752.0 1253.0 6.431 0.7462 1.241 4588.0

1200.0 5.1.01. 3270.0 0.499 901.0 1501.0 6.658 0.7460 1.241 5017.0

11.00.0 6.296 3800.0 0.428 1050.0 1750.0 6.649 0.7459 1.241 5412.0

1600.0 7.188 4340.0 0.374 1199.0 1998.0 7.015 0.7458 1.241 5781.0

1800.0 8.081 4870.0 0.333 1348.0 2246.0 7.161 0.7458 1.241 6127.0 200G.0 8.973 5410.0 0.300 1497.0 2494.0 7.292 0.7457 1.241 6455.0 2500.0 11.20 6740.0 0.240 1870.0 3114.0 7.568 0.7456 1.241 7210.0

3G00.0 13.1.1. 8080.0 0.20C 2242.0 3735.0 7.795 0.7455 1.241 7893.0

THO-PHASE BOUNDARY

92
600 PSIA IS03AR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

DEG. R LB/CU FT

p v T

BTU/TB PSIA-CU FT/BTU PSIA

4.0 11.61. 29.8

5.0 11.55 47.5

6.0 11.47 42.8

7.0 11.35 40.3

6.0 11.22 41.2

9.0 11.06 43.4

10.0 10.89 43.3

11.0 10.71 43.3

12.0 10.53 43.6

13.0 10.33 43.8

14.0 10.13 44.0

15.0 9.923 44.2

16.0 9.707 44.2

17.0 9.<*85 44.3

16.0 9.257 44.3

19.0 9.022 44.3

20.0 8.783 44.3

22.0 8.301 44.4

2<t.O 7.825 44.8

26.0 7.368 45.6

28.0 6.939 46.8

30.0 6.51.0 48.4

32.0 6.173 50.2

3 It. 5.837 52.1

36.0 5.531 54.2

36.0 5.252 56.5

ItO.O it. 998 58.7

<t5.0 4.454 64.7

50.0 It. 016 71.0

55.0 3.656 77.3

6U.0 3.358 83.8

70.0 2.890 96.8

ao.o 2.540 110.0

90.0 2.269 123.0 100.0 2.052 136.0

120.0 1.725 162.0

140.0 1.491 187.0

16 0.0 1.313 212.0

160.0 1.174 238.0

200.0 1.062 263.0 250.0 0.8576 325.0

300.0 0.7196 387.0

350.0 0.6200 449.0

itOO.O 0.5446 511.0

".50.0 0.4856 573.0

500.0 0.4382 635.0 600.0 0.3666 759.0

700.0 0.3151 883.0

aoo.o 0.2763 1010.0

900.0 0.2460 1130.0

1000.0 0.2216 1260.0

1200.0 0.1851 1500.0

UttiO.O 0.1588 1750.0

1600.0 0.1391 2000.0

1800.0 0.1238 2250.0

2000.0 0.1114 2500.0

2500.0 0.03925 3120.0 3000.0 0.07443 3740.0

13.3 4200.0

8.67 4510.0

10.0 4480.0

10.9 4320.0

10.7 4100.0

9.94 3840.0

9.84 3610.0 9.62 3360.0

9.31 3120.0

8.99 2880.0 8.68 2660.0

8.39 2460.0

8.12 2260.0

7.87 2090.0

7.63 1920.0 7.38 1770.0 7.15 1630.0 6.75 1390.0

6.41 1220.0 6.11 1090.0 5.85 1000.0 5.65 931.0 5.47 881.0 5.32 843.0 5.19 813.0 5.07 790.0 4.97 771.0 4.77 737.0 4.62 715.0 4.51 700.0 4.41 690.0 4.27 677.0 4.17 668.0 4.09 662.0 4.03 657.0

3.94 649.0 3.88 644.0 3.84 639.0

3.81 635.0 3.78 632.0 3.74 626.0

3.71 622.0 3.69 619.0

3.68 616.0 3.6b 614.0 3.66 613.0 3.64 610.0 3.64 609.0 3.63 608.0

3.62 607.0

3.62 606.0

3.62 605.0

3.61 604.0 3.61 603.0 3.61 603.0 3.61 602.0

3.60 602.0

OV/DT)/V THERMAL VISCOSITY THERMAL DIELECTRIC PRANDTL

p CONDUCTIVITY DIFFUSIVITY CONSTANT NUMBER

l/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

SQ FT/HR

0.0100 0.0118 9.42 0.00338 1.02095 0.861 0.00677 0.0146 6.60 0.00393 1.02097 0.683 0.00881 0.0160 7.71 0.00369 1.02098 0.655 0.0111 0.0173 6.93 0.00339 1.02100 0.645

0.0130 0.0186 6.23 0.00309 1.02101 0.647 0.0145 0.0199 5.68 0.00285 1.02102 0.649

0.0157 0.0210 5.25 0.00284 1.02101 0.612 0.0163 0.0220 4.90 0.00281 1.02100 0.585 0.0179 0.0228 4.63 0.00277 1.02098 0.570 0.0191 0.0236 4.40 0.00273 1.02094 0.562 0.0202 0.0241 4.21 0.00268 1.02088 0.559

0.0213 0.0245 4.05 0.00263 1.02081 0.560 0.0225 0.0249 3.92 0.00253 1.02072 0.564

0.0236 0.0251 3.81 0.00253 1.02061 0.571

0.0247 0.0252 3.71 0.00249 1.02048 0.580 0.0253 0.0253 3.63 0.00245 1.02032 0.591 0.0268 0.0253 3.56 0.00242 1.02015 0.603 0.0286 0.0252 3.46 0.00239 1.01973 0.628

0.0297 0.0250 3.39 0.00240 1.01924 0.651 0.0301 0.0248 3.36 0.00245 1.01869 0.670 0.0299 0.0246 3.34 0.00253 1.01812 0.685

0.0293 0.0244 3.34 0.00264 1.01752 0.698

0.0285 0.0243 3.36 0.00276 1.01692 0.709

0.0275 0.0243 3.38 0.00291 1.01634 0.717 0.0264 0.0243 3.41 0.00307 1.01577 0.724 0.0253 0.0244 3.45 0.00324 1.01522 0.729 0.0243 0.0245 3.49 0.00343 1.01470 0.732

0.0 218 0.0248 3.60 0.00395 1.01351 0.737

0.0197 0.0253 3.72 0.00452 1.01248 0.7 39 0.0179 0.0259 3.85 0.00514 1.01159 0.738 0.0163 0.0266 3.98 0.00580 1.01081 0.736 0.0138 0.0283 4.25 0.00723 1.00953 0.731

0.0120 0.0296 4.51 0.00881 1.00853 0.726 0.0106 0.0311 4.77 0.0105 1.00772 0.721 0.00953 0.0327 5.03 0.0123 1.00705 0.716 0.00791 0.G359 5.52 0.0163 1.00603 0.708 0.00678 0.0391 6.00 0.0207 1.00526 0.701 0.00594 0.G422 6-46 0.0255 1. 0O468 0.696 0.00529 0.0452 6.90 0.0306 1.00421 0.691 0.00477 0.0482 7.21 0.0362 1.00382 0.675 0.00384 0.0554 8.25 0.0517 1.00312 0.670 0-00322 0.0622 9.24 0.0694 1.00263 0.666 0.00277 0.0687 10.2 0.0891 1.00228 0.664 0.00243 0.0748 11.1 0.111 1.00201 0.663 0.00217 0.0807 12.0 0.134 1.00180 0.663 0.00195 0.0663 12.8 0.159 1.00162 0.664 0.00163 0.0973 14.5 0.214 1.00136 0.665

0.00140 0.108 16.1 0.276 1.00117 0.665 0.00123 0.118 17.6 0.345 1.00103 0.666 0.00110 0.128 19.1 0.420 1.00092 0.666 0.000989 0.138 20.6 0.502 1.00083 0.666 0.000825 0.157 23.3 0.682 1.00069 0.666 0.000709 0.175 26.0 0.886 1.00060 0.666 0.000621 0.192 28.6 1.11 1.00052 0.666 0.000552 0.208 31.0 1.36 1.00046 0.666 0.000497 0.224 33.4 1.62 1.00042 0.666 0.000398 0.263 39.2 2.37 1.00034 0.665 0.000332 0.299 44.6 3.24 1.00028 0.665

THO-PHASE BOUNDARY

93
700 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

5.0 0.,08472 6.0 0,.08537

7.0 ,08617 e.o ,08715

9.0 0.,08828 10.0 0,,08952 11.0 0.,09082 12.0 0,,09223 13.0 0.,09375

14.0 0.,09537 15.0 0.,09712 16.0 0.,09898 17.0 0,,1010

18. 0.,1031 19.0 ,1054 20.0 0..1078 22.0 0,,1131 24.0 0,,1189 26.0 0.,1252

28.0 0,,1320 3C.0 0,,1391 32.0 0.,1465 34.0 0. 1542 36.0 0.,1620 38.0 0.,1700 40.0 0.,1781 45.0 0,,1987 5G.0 0,,2194 55.0 0.,2402 60.0 0. 2610

7C.0 0,,3023 80.0 0.,3432 90.0 0,,3837 100.0 0,,4238 120.0 0,,5031 140.0 0,,5816 160.0 0,,6595 180.0 0,,7370 200. .8142 250.0 1,,006 300.0 1,,198 350.0 1,,389 400.0 1,,581 450.0 1. 772 500.0 1,,963 600.0 2,,345 70C.0 2,,727 800.0 3,,109 900.0 3,,491 10C0.0 3,,873 1200.0 4.,638 14G0.0 5.,402 1600.0 6,,167 1800.0 6.,932 2000-0 7. 696 2500.0 9,,609

ISOTHERM DERIVATIVE

CU FT/L8 CU FT-PSIA/LB

419.0 426.0

419.0

406.0

390.0

374.0

357.0 340.0

323.0 306.0

291.0 276-0

262.0

249.0 237.0

225.0

205.0

189.0

178.0

171. 167.

165,

165.

166, 168,

171.

180.0 191.0

204.0

217.0

245.0

273.0

302.0 330.0

386.0

442.0 497.0

551.0

606.0 740.0

874.0 1010.0

1140.0

1270.0

1410.0 1670.0

1940.0 2210.0 2470.0

2740.0

3280.0

3810.0 4340.0

4880.0

5410.0

6750.0

8090.

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY

PSIA/R BTU/LB BTU/LB

36.7 2.316 13.30

42.7 2.512 13.58 50.4 2.762 13.93

55.4 3.094 14.39

57.8 3.531 14.97

58.7 4.029 15.63

58.7 4.536 16.31

58.3 5.076 17.03

57.5 5.651 17.80 56.5 6.259 18.62

55.4 6.900 19.49

54.1 7.573 20.40 52.6 8.277 21.37 51.1 9.009 22.37

49.3 9.834 23.49

47.5 10.69 24.66

44. 12.46 27.12

40.5 14.30 29.71

37.1 16.19 32.42

34.1 18.03 35.14 31.4 19.83 37.86

29.0 21.64 40.63

26.9 23.44 43.43

25.1 25.24 46.25

23.4 27.03 49.07

21.9 28.81 51.90 18.9 33.21 58.96

16.6 37.53 65.97

14.7 41.78 72.92

13.2 45.97 79.81

11.0 54.20 93.39

9.43 62.28 106.8

8.25 70.24 120.0

7.34 78.11 133.0 6.02 93.65 158.9

5.10 109.0 184.4 4.44 124.3 209.8

3.93 139.5 235.0

3.52 154.6 260.1

2.80 192.3 322.7

2.33 229.8 385.1

2.00 267.2 447.3

1.75 304.6 509.5 1.55 342.0 571.6

1.40 379.3 633.7

1.16 453.9 757.9

1.00 528.5 882.0

0.873 603.1 1006.0

0.776 677.6 1130.0

0.698 752.1 1254.0

0.582 901.2 1502.0

0.499 1050.0 1750.0

0.437 1199.0 1999.0

0.388 1348.0 2247.0

0.349 1497.0 2495.0

0.280 1870.0 3115.0

0.233 2242.0 3736.0

ENTROPY BTU/LB-R

3571 4154

4731

5346 6005

6676 7326

7962

8587 0.9203

G.9812

1.041 1.101

1.159

1.221

1.282

1.400 1.515

1.624

1.725 1.819

1.908

1.993

2.074

2.150

2.223 2.389

2.537

2.669

2.789

2.998 3.177

3.333

3.470 3.706

3.903

072 221 353

632

860

052 5.218 5.364

5.495

5.721

913

078 224

355

581 773

938

084

215 492

0.3031

0.3262

0.3728 0.4327

0.4989

0.5215

0.5431

0.5659

0.5877

0.6078

0.6260 0.6422

0.6567 0.6696

0.6824

0.6929 0.7068

0.7197

0.7274

0.7333 0.7384

0.7426

0.7460 0.7489

0.7512

0.7532

0.7567 0.7588

0.7600 0.7605

0.7606

0.7600 0.7592

0.7583 0.7566

0.7551

0.7539

0.7529

0.7521 0.7506

0.7497

0.7490 0.7484

0.7461 0.7477

0.7473

0.7470 0.7468

0.7466

0.7465

0.7463

0.7461

0.7460 0.7459

0.7459

0.7457

0.7457

CP VELOCITY

OF SOUND

-R FT/SEC

0.3244 1441.0 0.3628 1477.0 0.4311 1499.0 0.5178 1500.0 0.6103 1487.0 0.6581 1479.0 0.7053 1466.0 0.7549 1449.0 0.8048 1431.0 0.8541 1412.0 0.9025 1393.0 0.9498 1375.0 0.996 1357.0 1.041 1339.0 1.084 1319.0 1.125 1301.0

1.200 1268.0 1.263 1240.0

1.311 1219.0 1.347 1206.0 1.375 1200.0

1.393 1198.0 1.405 1199.0 1.411 1204.0

1.414 1211.0

1.414 1219.0 1.408 1246.0 1.397 1278.0 1.384 1312.0 1.371 1347.0 1.347 1418.0 1.328 1487.0

1.313 1555.0 1.301 1619.0 1.283 1742.0

1.272 1857.0 1.264 1964.0 1.259 2066.0 1.255 2163.0

1.249 2389.0

1.246 2594.0 1.244 2785.0 1.243 2963.0 1.242 3131.0

1.242 3291.0 1.241 3589.0 1.241 3865.0 1.241 4122.0

1.241 4365.0 1.241 4594.0 1.241 5023.0

1.241 5417.0

1.241 5785.0 1.241 6131.0 1.241 6458.0 1.241 7213.0

TWO-PHASE BOUNDARY
r 00 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

OEG. R LB/CU FT

v<oh/dv> viop/ou) -vidp/dv),,,

p v T

BTU/LB PSIA-CU FT/BTU PSIA

<DV/DT>/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

THERMAL DIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

5.0 11.80 1.3.7 10.3 "t9<t0 . 0.00742 0.0151 10.0 0.00395 1.02091 0.768

6.0 11.71 1.2.1. 11.1 it990.0 0.00855 0.0166 8.78 0.00390 1. 02093 0.693

7.0 11.60 1.1.6 11.7 lt870.0 0.0104 0.0179 7.78 0.00358 1.02096 0.674

6.0 11.1.8 1.3.5 11.2 1.660-0 0.0119 0.0193 6.97 0.00325 1.02098 0.672

9.0 11.33 1.6.6 10.2 it 1.20.0 0.0131 0.0206 6.31 0.00299 1.02100 0.672

10.0 11.17 1.6.9 10.1 1.180.0 0.0140 0.0219 5.60 0.00297 1.02101 0.626

11.0 11.01 1.7.2 9.82 3930.0 0.0149 0.0229 5.40 0.00295 1.02102 0.597

12. 10.81. 1.7.7 9.50 3680.0 0.0158 0.0239 5.07 0.00292 1.02101 0.577

13.0 10.67 1.8.1 9.18 31.1.0.0 0.0167 0.0247 4.61 0.00267 1.02100 0.564

14.0 10.1.9 1.8.5 8.87 3210.0 0.0176 0.0253 4.59 0.00283 1.02097 0.557

15.0 10.30 1.8.8 8.59 2990.0 0-0185 0. 0258 4.40 0.00278 1.02093 0.554

16.0 10.10 1.9.0 8.33 2790.0 0.0194 0.0262 4.25 0.00273 1.02087 0.554

17.0 9.903 1.9.1 8.09 2590.0 0.0203 0.0265 4.12 0.00269 1.02080 0.557

18.0 9.699 1.9.2 7.87 21.10.0 0.0212 0.0267 4.01 0.00265 1.02072 0.563

19.0 9.1.88 1.9.3 7.61 2240.0 0.0220 0.0268 3.92 0.00261 1.02061 0.569

20.0 9.275 1.9.1. 7.39 2090.0 0.0228 0.0269 3.84 0.00258 1.02049 0.578

22.0 8.81.3 1.9.5 7.01 1610.0 0.0243 0.0269 3.71 0.00253 1.02019 0.597

2i». 8.1.10 1.9.7 6.66 1590.0 0.0254 0.0267 3.63 0.00252 1.01983 0.617

26.0 7.985 50.2 6.39 1420.0 0.0261 0.0266 3.58 0.00254 1.01941 0.636

26.0 7.577 51.2 6.13 1300.0 0.0263 0.0264 3.55 0.00258 1.01895 0.652

30.0 7.189 52.5 5.92 1200.0 0.0262 0.0262 3.53 0.00265 1.01846 0.668

32.0 6.825 51.. 5-73 1130.0 0.0258 0.0260 3.54 0.00274 1.01795 0.681

31.. 6.1.85 55.8 5.57 1070.0 0.0252 0.0259 3.55 0.00285 1.01744 0.692

36.0 6.171 57.7 5.1.2 1020.0 0.0245 0.0259 3.57 0.00297 1.01692 0.700 36.0 5.881 59.7 5.30 989.0 0.0237 0.0259 3.60 0.00311 1.01642 0.708

1.0.0 5.611. 61.9 5-18 960.0 0.0228 0.0259 3.63 0.00326 1.01593 0.713

1.5.0 5.031. 67.6 4.96 907.0 0.0208 0.0261 3.73 0.00369 1.01478 0.723

50.0 4.557 73.6 4.79 873.0 0.0190 0. 0265 3.84 0.00417 1.01375 0.728

55.0 i.. 163 79.9 4.65 849.0 0.0173 0.0270 3.96 0.00469 1.01263 0.731 60.0 3.831 86.2 It. 5* 832.0 0.0159 0.0276 4.09 0.00525 1.01203 0.731

70.0 3.307 99.1 it. 38 810.0 0.0136 0.0289 4.34 0.00648 1.01067 0.729

60.0 2.913 112.0 <t.26 796.0 0.0118 0.0303 4.60 0.00784 1.00960 0.725 90.0 2.606 125.0 4.17 786.0 0.0105 0.0318 4.85 0.00931 1.00872 0.720

100.0 2.360 138.0 it. 10 779.0 0.00942 0.0334 5.10 0.0109 1.00799 0.716

120.0 1.988 161.. t. 00 768.0 0.00783 0.0365 5.59 0.0143 1.00685 0.708

11.0.0 1.719 189.0 3.93 760.0 0.00672 0.0396 6.06 0.0181 1.00601 0.701

160.0 1.516 215.0 3.88 753.0 0.00589 0.0426 6.52 0.0222 1.00535 0.696

180.0 1.357 21.0.0 3.81. 748.0 0.00525 0.0456 6.96 0.0257 1.00482 0.691

200.0 1.228 265.0 3.81 744.0 0.00474 0.0466 7.26 0.0315 1.00439 0.675

250.0 0.9936 328.0 3.76 735.0 0.00381 0.0557 8.30 0.0449 1.00359 0.670

300.0 0.831.6 390.0 3.73 730.0 0.0032C 0.0625 9.28 0.0601 1.00304 0.666

350.0 0.7197 1.52.0 3.70 725.0 0.00275 0.0690 10.2 0.0770 1.00263 0.664

1.00.0 0.6326 511.. 3.69 722.0 0.00242 0.0751 11.1 0.0955 1.00232 0.663

1.50.0 0.561.1. 576.0 3.68 719.0 0.00216 0.0610 12.0 0.115 1.00208 0.662

500.0 0.5095 638.0 3.67 717.0 0.00195 0.0865 12.6 0.137 1.00188 0.663

600.0 0.1.265 762.0 3.65 714.0 0.00163 0. 0974 14.5 0.184 1.00158 0.665

700.0 0.3667 886.0 3.61. 712.0 0.00140 0.108 16.1 0.238 1.00136 0.665

80C.0 0.3216 1010.0 3.63 710.0 0.00123 0.118 17.6 0.297 1.00120 0.665

900.0 3.2861. 1130.0 3.63 709.0 0.00109 0.128 19.1 0.361 1.00107 0.665

1000.0 0.2582 1260.0 3.62 708.0 0.000987 0.138 20.6 0.431 1.00096 0.665

1200.0 0.2156 1510.0 3.62 706.0 0.000824 0.157 23.4 0.586 1.00081 0.665

11.00.0 0.1851 1750.0 3.61 7C5.0 0.000708 0.175 26.0 0.760 1.00069 0.665

1600.0 0.1622 2000.0 3.61 704.0 0.000620 0.192 28.6 0.953 1.00061 0.665

1600.0 0. 11.1.3 2250.0 3.61 704.0 0.000552 0.208 31.1 1.16 1.0OO54 0.665

2000.0 0.1299 2500.0 3.61 703.0 0.000497 0.225 33.5 1.39 1.00049 0.665

2500.0 0.101.1 3120.0 3.60 702.0 0.000398 0.263 39.2 2.04 1.00039 0.665

3000.0 0.08680 371.0.0 3.60 702.0 0.000332 0.299 44.6 2.78 1.00033 0.665

THO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 800 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

ISOCHORE DERIVATIVEINTERNAL ENERGY ENTHALPY ENTROPY cv CP VELOCITY

OF SOUND

EG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB 3TU/LB-R BTU / LB -R FT/SEC

5.0 0.08306 1.1.3.0 1.5.1 2.471 14.78 0.3423 0.3094 0.3388 1496.0

6.0 0.08371. 1.58.0 1.6.8 2.650 15.55 0.1.006 0.3172 0.3544 1540.0

7.0 0.081.50 1.56.0 53.1 2.878 15.40 0.4566 0.3605 0.4178 1564.0

6.0 0.0851.0 1.1.5.0 57.6 3.189 15.84 0.5162 0.4227 0.5032 1566.0

9.0 0.0861.3 1.30.0 59.8 3.606 16.41 0.5803 0.4912 0.5945 1553.0 ICO J. 08753 1.15.0 60.6 4.0 84 17.05 C.6457 0.5156 0.6409 1547.0

11.0 0.08869 396.0 60.6 4.572 17.71 0.7089 0.5384 0.6862 1534.0

12.0 0.08993 361.0 60.3 5.090 18.41 0.7707 0.5619 0.7334 1518.0

13.0 0.09125 361.. 59.7 5.642 19.16 0.8314 0.5843 0.7805 1501.0

14.0 0.09266 31.8.0 58.9 6.225 19.95 0.8911 0.6048 0.8268 1484.0

15.0 0.091.17 332.0 57.9 6.840 20.79 0.9499 0.6232 0.8721 1467.0

16.0 0.09577 317.0 56.8 7.484 21.67 1.006 0.6397 0.9162 1450.0

17.0 0.0971.7 303.0 55.5 8.158 22.63 1.065 0.6544 0.9592 1433.0

18. 0.09927 289.0 51.. 2 8.858 23.56 1.121 0.6675 1.001 1417.0

19.0 0.1012 276.0 52.5 9.653 24.65 1.181 0.6605 1.040 1398.0

20.0 0.1032 26i«. 50.9 10.47 25.77 1.239 0.6912 1.078 1381.0

22.0 0.1076 21.2.0 1.7.5 12.19 28.13 1.353 0.7077 1.148 1349.0

21.. 0.1121. 221.. 1.1.. 2 13.97 30.62 1.463 0.7193 1.209 1321.0

26.0 0.1176 210.0 1.1. 15.81 33.23 1.569 0.7275 1.260 1298.0

28.0 0.1232 200.0 38. 17.61 35.86 1.667 0.7337 1.300 1282.0

30.0 0.1291 191.. 35.3 19.37 38.49 1.757 0.7388 1.334 1272.0

32.0 0.1353 189.0 32.8 21.14 41.19 1.844 0.7430 1.358 1266.0

34.0 0.11.18 187.0 30.5 22.92 43.92 1.927 0.7464 1.375 1265.0

36.0 0.11.81. 187.0 28.5 24.70 46.68 2.006 0.7492 1.387 1266.0

36.0 0.1552 186.0 26.7 26.48 49.47 2.081 0.7516 1.394 1270.0

1.0.0 0.1621 169.0 25.0 28.25 52.26 2.153 0.7535 1.398 1275.0

1.5.0 0.1797 196.0 21.6 32.64 59.26 2.318 0.7572 1.399 1296.0

50.0 0.1976 206.0 19.0 36.97 66.24 2.465 0.7595 1.393 1323.0

55.0 0.2156 218.0 16.9 41.24 73.18 2.597 0.7608 1.384 1354.0

60.0 0.2337 230.0 15.2 45.45 80.07 2.717 0.7616 1.373 1386.0

70. 0.2698 256.0 12.7 53.73 93.70 2.927 0.7619 1.352 1452.0

80.0 0.3056 261.. o 10.8 61.66 107.1 3.107 0.7615 1.334 1518.0

90.0 0.31.11 312.0 9.1.6 <?9.86 120.4 3.263 0.7607 1.319 1583.0

loo.o 0.3762 31.0.0 8.1.2 77.77 133.5 3.401 0.7598 1.306 1646.0

120. 0.1.1.58 396.0 6.90 93.39 159.4 3.637 0.7581 1.288 1766.0

11.0.0 0.511.6 1.52.0 5.85 108.8 185.1 3.835 0.7565 1.276 1679.0

160.0 0.5629 507.0 5.08 124.1 210.5 4.005 0.7552 1.267 1985.0

180.0 0.65 6 561.0 it. 1.9 139.4 235.8 4.154 0.7541 1.261 2086.0

200.0 0.7181. 616.0 4.03 154.5 260.9 4.286 0.7532 1.257 2182.0

250.0 0.8667 750.0 3.21 192.2 323.6 4.566 0.7515 1.250 2405.0

300.0 1.051. 881.. 2.67 229.8 386.0 4.793 0.7504 1.246 2609.0 350.0 1.222 1020.0 2. 28 267.3 448.3 4.985 0.7496 1.244 2798.0

1.00.0 1.389 1150.0 2.00 304.7 510.4 5.152 0.7490 1.243 2975.0

1.50.0 1.556 1280.0 1.77 342.0 572.6 5.298 0.7485 1.242 3142.0

500.0 1.723 11.20.0 1.60 379.4 634.7 5.429 0.7482 1.242 3301.0 600.0 2.053 1660.0 1.33 454.0 75 8.8 5.655 0.7477 1.241 3599.0

700.0 2.392 1950.0 1.14 528.6 882.9 5.846 0.7473 1.241 3873.0

600.0 2.726 2220.0 1.00 603.2 1007.0 6.012 0.7471 1.241 4130.0 900.0 3.060 21.60.0 0.886 677.8 1131.0 6.158 0.7469 1.241 4372.0

1000.0 3.395 2750.0 0.798 752.3 1255.0 6.289 0.7467 1.241 4601.0

120C.0 it. 063 3280.0 0.665 901.4 1503.0 6.515 0.7465 1.241 5028.0

11.00.0 4.732 3820.0 0.570 1050.0 1751.0 6.706 0.7463 1.241 5422.0

1600.0 5.1.01 1.350.0 0.499 1199.0 2000. 6.872 0.7462 1.241 5789.0

1600.0 6.070 1.890.0 0.444 1348.0 2248.0 7.018 0.7461 1.241 6135.0 2000.0 6.739 51.20.0 0.399 1498.0 2496.0 7.149 0.7460 1.241 6462.0

25C0.0 8.1.12 6760.0 0.319 1870.0 3116.0 7.426 0.7459 1.241 7215.0

3000.0 10.08 8090.0 0.266 2243.0 3737.0 7.652 0.7458 1.241 7897.0

TWO-PHASE BOUNDARY

96
600 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <t

TEMPERATURE DENSITY

OEG. R L8/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(DV/DTI/V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E*6

THERMAL DIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

5.0 12.04 40.1 12.1 5330.0 0.00846 0.0157 11.5 0.00385 1.02083 0.893

6.0 11.94 41.5 12.4 5470.0 0.00855 0.0171 10.0 0.00405 1.02087 0.742

7.0 11.83 42.4 12.5 5390.0 0.00985 0.0185 8.72 0.00375 1.02090 0.708

e.o 11.71 45.5 11.6 5210.0 0.0111 0.0200 7.74 0.00339 1.02093 0.702

9.0 11.57 49.5 10.5 4980.0 0.0120 0.0214 6.97 0.00311 1.02096 0.698

10.0 11.42 50.2 10.3 4750.0 0.0128 0.0227 6.37 0.00310 1.02099 0.648

11.0 11.28 50.8 10.0 4490.0 0.0135 0.0238 5.90 0.00308 1.02101 0.612

12.0 11.12 51.6 9.65 4240.0 0.G142 0.0248 5.53 0.00305 1.02102 0.587

13.0 10.96 52.2 9.32 3990.0 0.0150 0.0257 5.22 0.00300 1.02102 0.571

14.0 10.79 52.7 9.02 3750.0 0.0157 0-0264 4.97 0.00296 1.02101 0.560

15.0 10.62 53.1 8.75 3520.0 0.0164 0.0270 4.76 0.00291 1.02099 0.553

16.0 10.44 53.4 8.50 3310.0 0.0172 0.0275 4.58 0.00287 1.02096 0.550

17.0 10.26 53.6 8.27 3100.0 0.0179 0.0278 4.43 0.00283 1.02092 0.550

18.0 10.07 53.8 8.05 2910.0 0.0186 0.0281 4.30 0.00278 1.02086 0.552

19.0 9.881 54.1 7.81 2730.0 0.0192 0.0282 4.19 0.00275 1.02079 0.556

20.0 9.687 54.2 7.59 2560.0 0.0199 0.0284 4.10 0.00272 1.02071 0.562

22.0 9.293 54.3 7.23 2250.0 0.0211 0.0284 3.96 0.00266 1.02050 0.575

2 4. 8.896 54.5 6.91 1990.0 0.0222 0.0284 3.86 0.00264 1.02023 0.592

26.0 8.503 54.9 6.62 1790.0 0.0 229 0.0282 3.79 0.00263 1.01992 0.609

28.0 8.118 55.6 6.37 1620.0 0.0234 0.0283 3.74 0.00265 1.01955 0.626

30.0 7.746 56.7 6.16 1500.0 0.0235 0.0278 3.72 0.00269 1.01915 0.642

32.0 7.390 58.0 5.97 1400.0 0.0234 0.0277 3.71 0.00276 1.01872 0.656

31.. 7.054 59.6 5.80 1320.0 0.0231 0.0275 3.71 0.00284 1.01828 0.668

36.0 6.739 61.3 5.64 1260.0 0.0 226 0.0274 3.73 0.00293 1.01782 0.678

38.0 6.445 63.2 5.51 1210.0 0.0221 0.0274 3.75 0.00304 1.01737 0.687

<<0.0 6.17U 65.2 5.39 1170.0 0.0214 0.0273 3.77 0.00317 1.01692 0.695

<t5.0 5.565 70.6 5.14 1090.0 0.0198 0.0274 3.86 0.00352 1.01584 0.708

50.0 5.061 76.5 4.95 1040.0 0.0182 0-0277 3.96 0.00393 1.01483 0.717

55.0 4.637 82.5 4.79 1010.0 0.0168 0.0281 4.07 0.00438 1.01393 0.722

60.0 4.279 88.8 4.67 984.0 0.0155 0.0286 4.19 0.00487 1.01311 0.724

70.0 3.707 101.0 4.49 951.0 0.0133 0.0298 4.43 0.00594 1.01171 0.725

80. 3.272 114.0 4.35 930.0 0.0117 0.0311 4.68 0.00713 1.01058 0.722

90.0 2.932 127.0 4.25 916.0 0.0104 0.0326 4.93 0.00842 1.00965 0.719

100.0 2.658 140.0 4.17 905.0 0.00931 0.0340 5.18 0.00980 1.00887 0.715

120.0 2.243 166.0 4.06 889.0 0.00775 0.0371 5.66 0.0128 1.00764 0.708

140.0 1.943 192.0 3.98 878.0 0.00666 0.0401 6.12 0.0162 1.00672 0.701

160.0 1.716 217.0 3.92 870.0 0.00584 0.0431 6.57 0.0198 1.00599 0.695

180.0 1.537 242.0 3.88 863.0 0.00521 0.0461 7.01 0.0238 1.00541 0.691

200.0 1.392 267.0 3.84 857.0 0.00470 . 49 7.31 0.0280 1.00494 0.675

251.0 1.128 330.0 3.78 846.0 0.00379 0.0561 8.34 0.0398 1.00405 0.669

30C.O 0.9484 392.0 3.74 839.0 0.00318 0.0628 9.32 0.0532 1.00343 0.665

350.0 0.8184 454.0 3.72 833.0 0.00274 0.0693 10.3 0.0680 1.00298 0.663

40 0. 0.7199 516.0 3.70 829.0 0.00241 0.0754 11.1 0.0842 1.00263 0.662

450.0 0.6426 578.0 3.69 825.0 0.00215 0.0812 12.0 0.102 1.00236 0.662

500.0 0.5802 640.0 3.67 823.0 0.00194 0.0868 12.9 0.120 1.00214 0.663 600.0 0.4860 764.0 3.66 818.0 0.00162 0.0976 14.5 0.162 1.00180 0.664

700.0 0.4181 888.0 3.65 815.3 0.00140 0.108 16.1 0.209 1.00155 0.664

80C.0 0.3668 1010.0 3.64 813.0 0.00123 0.119 17.6 0.260 1.00136 0.665

900.0 0.3268 1140.0 3.63 812.0 0.00109 0.129 19.1 0.317 1.00122 0.665

100C.0 0.2946 1260.0 3.63 810.0 0.000985 0.138 20.6 0.378 1.00110 0.665

1200.0 0.2461 1510.0 3.62 808.0 0.000823 0.157 23.4 0.514 1.00092 0.665

1400.0 0.2113 1760.0 3.62 807.0 0.000707 0.175 26.0 0.666 1.00079 0.665

1600. 0.1852 2000.0 3.61 806.0 0.000619 0.192 28.6 0.835 1.00069 0.665

1800.0 0.1647 2250.0 3.61 805.3 0.000551 0.208 31.1 1.02 1.00062 0.665

2C00.0 0.1484 2500.0 3.61 804.0 0.000496 0.225 33.5 1.22 1.00056 0.665

2500.0 0.1189 3120.0 3.60 803.0 0.000398 0.263 39.2 1.78 1.00045 0.665

3000.0 0.09916 3740.0 3.60 802.0 0.000332 0.299 44.6 2.43 1.00037 0.665

TWO-PHASE BOUNDARY
900 P3IA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB

5.0 0.03155 1.63.0 56.0 2.627 16.22

6. 0.08227 1.88.0 51.9 2.793 16.50

7.0 0.08302 1.90.0 56.3 3.003 16-81* e.o 0.08386 1*82.0 59.9 3.296 17.27

9.0 0.08481 1*68.0 61.7 3.697 17.83

10.0 0.08580 1.55.0 62.3 i*.159 18.1*6 11.0 0.08685 1.38.0 62.1. 4.630 19.10

12.0 0.08795 1.21.0 62.1 5.130 19.79

13.0 0.08913 1*01.. 61.6 5.663 20.52

14.0 0.09038 386.0 60.9 6.226 21.29

15.0 0.09170 372.0 60.1 6.819 22.10

16.0 0. 09311 356.0 59.1 7.1.1.0 22.96

17.0 0.09459 3i*2.0 58. 8.089 23.85

18.0 0. 09616 328.0 56.8 8.763 21*. 79 19.0 0.09783 315.0 55.3 9.535 25. 84 20.0 0.0996 302.0 53.8 10.33 26.93

22.0 O.1033 279.0 50.6 11.99 29.21

2 it. a 0.107". 259.0 1.7.5 13.73 31.63

26.0 0.1118 21.3.0 1.1.. i. 15.52 34.15

26.0 0.1165 231.0 1.1.5 17.29 36.70

30.0 0.1215 222.0 38. 8 19.00 39.26

32.0 0.1268 215.0 36.2 20.71. 41.88

34.0 0.1323 211.0 33.9 22.1.9 44.55

36.0 0.1380 209.0 31.8 2U. 25 47.26

36.0 0.11*39 209.0 29. 8 26.01 49.99

if 0.0 0.11*99 209.0 28. 1 27.77 52.74

45.0 0.1652 211.. 21..

3

32.11. 59.67

50.0 0.1809 222.0 21.1. 36.1.7 66.61

55.0 0.1968 232.0 19.1 1.0.75 73.54

60.0 0.2127 21.1.. 17.2 1.1.. 97 80.42

70.0 0.21*1*7 269.0 11..

3

53.29 94.06

60.0 0.2761* 296.0 12.3 61.1.6 107.5

9C.0 0.3080 323.0 10.7 69.50 120.8

100.0 0.3393 351.0 9.51 77.1.5 134.0

120.0 0.1*012 1.07.0 7.78 93.li. 160.0

1*0.0 0.1.625 1.62.0 6.59 108.6 185.7

160.0 0.5233 517.0 5.72 121.. 211.2

160. 0.5837 572.0 5.06 139.2 236.5

200. 0.6439 626.0 i». 53 151*. i* 261.7

250.0 0.7936 761.0 3.61 192.2 324.5

300.0 0.91.27 891.. 3.00 229.8 386.9

350.0 1.091 1030. 2.57 267.3 449.2

1*00.0 1.21.0 1160.0 2.21. 301*.

7

511.4

It50.0 1.389 1290.0 1.99 31*2.1 573.5

500.0 1.537 11.30.0 1.79 379.5 635.7

600.0 1.831. 1690.0 1.1.9 i*5i*. 1 759.8

700.0 2.131 1960.0 1.28 528.8 883.9

600.0 2.1.28 2230.0 1.12 603.3 1008.0

900. 2.725 21.90.0 1. 00 677.9 1132.0

1000.0 3.022 2760.0 0.897 752.5 1256.0

1200.0 3.616 3290.0 0.71.8 901.5 1504.0

11(00.0 4.211 3830.0 0.61.1 1051.0 1752.0

1600.0 4.805 1.360.0 0.561 1200.0 2000.0

1600.0 5.1.00 1.890.0 0.1.99 131.9.0 2249.0

2000.0 5.991. 51.30.0 0.1*1*9 11.98.0 2497.0

2500.0 7.1.81 6760.0 0.359 1870.0 3117.0

ENTROPY BTU/LB-R

3260

,3861 4411

,4993

,5620 ,6260

,6878 ,7482 ,8074

8655

,9227

,9789

,034

,089

,147 203

,314

,420 523 1.618 1.706

1.790

1.871 1.949

2.022 2.093

2.256

2.403

.534

.654

.865 .044

.201

.340 .577

.775 3.945 4.095

4.227

4.507

4.735

4.927 5.093

5.240

5.370 5.597

788 954

100 231 457

648

814

960

091

0.3251 0.3104

0.3510 0.4145

0.4848 0.5107

0.5344 0.5585

0.5813

0.6O20 0.6206

0.6373

0.6522 0.6656 0.6786

0.6896

0.7066

0.7188 0.7275

0.7340 0.7394

0.7436

0.7470 0.7498

0.7521

0.7540 0.7577 0.7601

0.7616 0.7625

0.7632 0.7629

0.7522 0.7613

0.7595

0.7578

7564

7552

7542 7524

7511

7502

7495

7490 7486 0.7481

0.7477 0.7474

0.7471

0.7470

0.7467 0.7465

0.7464 0.7463

0.7462 0.7460 0.7459

CP VELOCITY

OF SOUND

-R FT/SEC

0.3663 1556.0 0.3520 1601.0 0.4037 1626.0

0.4921 1627.0 0.5822 1614.0

0.6272 1608.0 0.6708 1596.0 0.7159 1581.0 0.7608 1566.0 0.8048 1550.0 0.8477 1534.0 0.8894 1518.0 0.9299 1502.0 0.9691 1487.0 1.006 1470.0

1.041 1453.0 1.107 1422.0

1.165 1395.0 1.216 1371.0 1.259 1353.0 1.295 1341.0 1.324 1333.0 1.346 1328.0 1.362 1327.0

1.373 1328.0 1.380 1331.0

1.388 1347.0 1.387 1369.0

1.381 1396.0 1.373 1425.0 1.355 1487.0 1.338 1550.0 1.323 1612.0 1.311 1673.0 1.292 1791.0 1.279 1901.0

1.270 2005.0

1.263 2105.0 1.259 2200.0 1.251 2 420.0 1.247 2623.0 1.245 2811.0 1.243 2987.0 1.243 3154.0

1.242 3312.0 1.241 3608.0 1.241 3881.0 1.241 4137.0

1.241 4378.0

1.241 4607.0 1.241 5033.0 1.241 5427.0 1.241 5793.0 1.241 6138.0 1.241 6465.0

1.241 7218.0

TWO-PHASE BOUNDARY
900 PSIA ISOBAR

THtRMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

OEG. R LB/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(DV/DT)/V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R BTU/FT-H^-R LB/FT-SEC

X 10E+6

THERMAL DIELECTRIC DIFFUSIVITY CONSTANT

SQ FT/HR

PRANOTL NUMBER

5.0 12.26 37.2 14.1 5680.0 0.00987 0.0162 13.2 0. 00361 1.02074 1.07

6.0 12.15 40.2 13.8 5930.0 0.00876 0.0177 11.2 0. C0413 1. 02079 0.806

7.0 12.05 42.8 13.3 5900.0 0.00954 0.0191 9.73 0.00388 1. 02083 0.749

6.0 11.92 47.2 12.1 5740.0 0.0104 0.0206 8.57 0.CO351 1.02087 0.736

9.0 11.79 52.1 10.8 5520.0 0.0112 0.0221 7.66 0.C0322 1. 02091 0.727

10.0 11.65 53.3 10.5 5300.0 0.0118 0.C234 6.96 0.00321 1. 02095 0.671

11. li 11.51 54.3 10.1 5040.0 0.0124 .C247 6.42 0.00319 1.02097 0.629

12.0 11.37 55.2 9.78 4790.0 0.0130 0.0257 5.99 0.00316 1.32099 0.600

13.0 11.22 56.0 9.45 4540.0 0.0136 0.0267 5.64 0.00312 1.02101 0.579

IV. 11.06 56.7 9.15 4290.0 0.0142 0.0274 5.35 0.00308 1.02102 0.565

15. o 10.90 57.2 8.68 4050.0 0.0148 0.0281 5.11 0. 00304 1. 02102 0.555

16.0 10.71. 57.6 8.64 3330.0 0.0155 0.0286 4.91 0.00299 1.02100 0.550

17.0 10.57 57.9 8.42 3610.0 0.0161 0.0293 4.74 0.00295 1. 02098 0.547

18. 10. VO 58.2 8.21 3410.0 0.0167 0.0293 4.60 0.00291 1.02095 0.547

19.0 10.22 58.5 7.97 3220.0 0.0172 0.0295 4.47 0.00287 1. 02091 0.548

20.0 10.04 58.7 7.76 3030.0 0.0177 0.C297 4.37 0.00234 1.02085 0.551

22.0 9.679 59.0 7.40 2700-0 0.0189 0.0299 4.20 0.00279 1.02071 0.561

24.

G

9.312 59.2 7.10 2410. 0.0197 0.0298 4.03 0.00275 1.02051 0.574

26.0 8.91.6 59.5 6.32 2170.0 0.0204 0.0297 4.00 0.00273 1.02027 0.538

28.0 8.583 60.1 6.58 1930.0 0.0210 0.0296 3.94 0.00274 1. 01998 0.604

3C.0 8.223 61.0 6.37 1820.0 0.0212 0.0294 3.90 0.00276 1.01966 0.619

32.0 7.885 62.1 6.18 170G.J 0.0213 0.0292 3.88 0.00280 1.01931 0.634

34.0 7.557 63.5 6.00 1600.0 0.0212 0.0290 3.87 0.00285 1.01893 0.647

36.0 7.245 65.0 5.84 1520.0 0.0209 0.0299 3.83 0. 00293 1.01353 0.658

38.0 6.950 66.8 5.70 1450.0 0.0206 0.0288 3.89 0.00302 1.01313 0.668

40. 6.67 3 63.6 5.58 1390.0 0.0201 0.0287 3.91 0.00312 1. 01773 0.677

1.5.0 6. 054 73.8 5.31 1290.0 0.0188 0.0237 3.93 0. 00341 1.01672 0.694

50.0 5-529 79.4 5.10 1230.0 0.0175 0.0289 4.07 0.00376 1.01577 0.705

55.0 5.083 85.3 4.93 1130.0 0.0162 0.0292 4.18 0.10416 1.01488 0.712 60.0 4.701 91.4 4.80 1140.0 0.0150 0.0296 4.29 0.00458 1.01407 0.717

70.0 4.087 104.0 4.59 1100.0 0.0130 0. 0307 4.53 0.00553 1. 01265 0.720

80. Q 3.617 117.0 4.44 1070.0 0.0115 0.0319 4.77 0.00659 1. 01149 0.719

90.0 3.247 130.0 4.33 1050.0 0.0102 0.0333 5.01 0.00775 1.01051 0.717

1CC.0 2.947 143.0 4.24 103C.0 0.00919 0.0347 5.25 0.00898 1.00969 0.714

12C.0 2.492 168.0 4.11 1010.0 0.00767 0.0376 5.72 0.0117 1.00338 0.707 1«J 2.162 194.0 4.02 1000.0 0.00659 0. 0405 6.18 0.0147 1.00739 0.701

160.0 1.911 219.0 3.96 988.0 0.00579 0.0436 6.63 0.0130 1.00661 0.695

180.0 1.713 245.0 3.91 979.0 0.00516 0.0466 7.05 0.0215 1. 00599 0.690 200.0 1.553 27U.0 3.87 972.0 0.00466 0.0495 7.36 0.0253 1.00547 0.674

250.0 1.26J 332.0 3.80 958.0 0.00376 0.0565 8.39 0.0358 1.00450 0.669

300.0 1.061 395.0 3.76 949.0 0.00316 0.0632 9.36 0.0478 1.00382 0.665

35L.0 0.9162 457.0 3.73 942.0 0.00272 0.0696 10.3 0.0610 1.00332 0.663

1.00.0 0.8064 519.0 3.71 936.0 0.00240 0.0756 11.2 0.0754 1.00294 0.661

1.50.0 0.7201 581.0 3.70 932.0 0.00214 0.0614 12.0 0.0910 1. 00263 0.661

5CC.0 0.6505 643.0 3.68 929.0 0.00193 0.0870 12.9 0.108 1.00239 0.662

60C.0 0.5452 767.0 3.67 923.0 0.00162 0.0978 14.5 0.145 1.00201 0.663

70C.0 0.4692 891.0 3.65 92C.0 0.00139 0.108 16.1 0.166 1.00174 0.664

eoc.o 0.4119 1010.0 3.64 917.0 O.0C122 0.119 17.7 0.232 1.00153 0.664

900.0 0.3670 1140.0 3.64 915.0 0.00109 J. 129 19-1 0.283 1. 00136 0.665 10C0.0 0.3309 1260.0 3.63 913.0 0.000983 0.138 20.6 0.337 1.00123 0.665 1210.0 0.2765 1510.0 3.62 910.0 0.000822 0.157 23.4 0.457 1.00103 0.665

14CC.0 0.2375 1760.0 3.62 909.0 0.GCC706 0.175 26.0 0.593 1.00089 0.665

1600.0 0.2081 2010.0 3.61 907.0 0.000619 0. 192 28.6 0.743 1.00078 C.665

1800.0 0.1852 2250.0 3.61 906.0 0.000551 0.209 31.1 0.9C8 1.00069 0.665 2000.0 0.1668 2500.0 3.61 905.0 0.000496 0.225 33.5 1.09 1.00063 0.665

2500.0 0.1337 3120.0 3.60 904.0 0.000398 0.263 39.2 1.59 1.00050 0.665 3000-0 0. 1115 3740.0 3.60 903.0 0.000332 0.300 44.6 2.16 1.00342 0.665

TWO-PHASE BOUNDARY
1000 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

OEG. R CU FT/LB CU FT-PSIA/LE

6 ,0 ,08091.

7,,0 ,38168

8 .0 0,.0821.8

9..0 o..08336

10 .0 ,081.28 11 ,0 ,08523

12..0 0,,08623

13 .0 a ,08729

lit..0 0.,0881.1 15 ,0 0,,08960

16.. 0,.09085

17 ,0 ,09216

16..0 0,.09355

19,,0 0,,09503

20,.0 0,,09656

22..0 0,,0998

21.,.0 0,,1031. 26,,0 0,,1072

28,,0 0,,1112

30,.0 0,,1156

32,,0 0.,1202

31..,0 0..121.9 36,,0 0,.1299

38,,0 0,.1350

1.0,,0 0.,11.03

1.5,,0 0,,1538

50,,0 0,,1677

55.,n 0.,1818

60..0 0.,1961

70.,0 0,,221.7 80.,0 0.,2532

90.,0 0,,2816

100. 0. 3098

120,,0 0.,3657

11.0,,0 0,,1.209

160.,0 0..1.756 180,,0 0,,5301

200,,0 0,,581.3 250,.0 0,,7190

300.,0 0, 8532

350,,0 0,,9872

1.00.,0 1,,121

1.50,.0 1,,255

500,,0 1,,388 600,,0 1.,655

700,,0 1,.923

800.,0 2..190 900,,0 2,,1.57 1000,.0 2,,72it 1200,.0 3,,259

11.00..0 3. 793 1600,,0 it, ,328 1800,,0 1), ,863 2000.,0 5,,398 2500. 6. 736

515,

522.

516,

505.

1.92.

1.76.

1.60.

1.1.3.

1.26.0 1.10.0 395.0

380 366

352

339

315

291. 276 262.0 251.0

21.3.0 237.0 233.0

231.0

230.0

232.0

238.0

21.7.0 258.0

282.0 308.0

335.0

362.0

1.18.0 1.73.0 528.0 582.0

636.0

771.0 905.0

101.0.0 1170.0 1300.0

11. 1.0.0 1700.0

1970.0 2230.0

2500.0

2770.0 3300.0

3830.0

.370.0 49U0.0

51.30.0 6770.0

8100.0

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY

PSIA/R 8TU/LB BTU/LB

58.2 2.91.0 17.93

59.9 3.131. 18.26

62.1. 3.1.13 18.69

63.6 3.800 19.21.

6i«. 4.249 19.85

6it.O 4.705 20.1.9 63.7 5.191 21.16

63.3 5.707 21.87

62.7 6.253 22.62

62.1 6.828 23.1.2 61.2 7.1.30 21.. 25 60.3 8.058 25.12

59.2 8.711 26.03

57.8 9.1.63 27.06

56.3 10.21. 28.12

53.1. 11.86 30.35

50.1. 13.56 32.69

i|7.5 15.31 35-15

it it. 6 17.01. 37.63

1.2.0 18.71 1.0.12

39.1. 20.1.2 1.2.67 37.0 22.11. 1.5.28

31.. 8 23.88 1.7.93 32.8 25.62 50.62

30.9 27.36 53.31. 27.0 31.71 60.19

23.8 36.03 67.08

21.3 1.0.31 73.97

19.2 itit.5it 80.85

16.0 52.88 91.. 1.9 13.7 61.08 108.0 11.9 69.17 121.3 10.6 77.15 131..

5

8.67 92.90 160.6

7. 3U 108.it 186.1. 6.37 123.8 211.9

5.62 139.1 237.3

5.0it 15it.3 26 2.5

t. 01 192.2 325.3

3.33 229.8 387.8

2.85 267.3 1.50.1

2.1.9 30".. 8 512.1. 2.21 3it2.2 571..

5

1.99 379.6 636.6

1.66 it5it.3 760.8

1.1.2 528.9 881..

9

1.25 603.5 1009.0

1.11 678.1 1133.0

1.00 752.6 1257.0

0.831 901.7 1505.0 0.712 1051.0 1753.0

0.623 1200 .0 2001.0

0.551. 13it9.0 221.9.0

0.1.99 11.98.0 21.98.0 0.399 1871.0 3118.0

0.333 221.3.0 3738.0

ENTROPY

BTU/LB-R

0.3715

0.4263

0.1.836

0.51.52 0.6081

0.6683

0.7280 C.7859

0. 81.28 0.8986

0.9535

1.007 1.061

1.117

1.172

1.280

1.38it

1.<i83 1.576

1.661

1.7itit 1.823 1.899

1.971

2.01.1

2.202

2.3it7

2.it79 2.598 2.809 2.989

3.1it6 3.285

3.523 3.722

3.892

it. 042

it. 175

it.it55

it. 683

it. 875

5. 041 5.187

5.318

5.545 5.736

902

048

179 405

596 762 6.908 7.038

7.315

7.541

3082

3441

4083

4798

5067 5311

5556

5786 0.5994

0.6182

0.6350 0.6501

0.6636 0.6768

0.6879 0.7054

0.7182 0.7274

0.7343

0.7399

0.7443 0.7477

0.7505

0.7528 0.7547

0.7583

0.7607 0.7624

0.7634

7643

7642 7636

7628 7609 0.7592

0.7577 0.7564

.7553

.7532

.7518

.7508 .7501

.7495

.7491

0.o.

0.0.

o.0.

0.0.7484

0.7480 0.7477 0.7474 0.7472

0.7469

0.7467 0.7466

0.7465

0.7464

0.7462 0.7461

CP VELOCITY

OF SOUND

-R FT/SEC

0.3560 1660.0 0.4037 1684.0 0.4842 1684-0 0.5726 1671.0 0.6162 1665.0 0.6582 1653.0 0.7015 1639.0 0.7445 1625.0 0.7865 1610.0 0.8275 1595.0 0.8673 1580.0 0.9059 1566.0 0.9432 1552.0

0-9780 1535.0 1.011 1520.0 1.073 1490.0 1.129 1463.0

1.179 1439.0 1.222 1421.0 1.261 1407.0 1.292 1397-0 1.317 1390.0 1.336 1386.0

1.351 1385.0 1.362 1386.0 1.376 1397.0

1.380 1415.0 1.377 1439.0 1.372 1465.0 1.357 1522.0

1.341 1582.0 1.327 1642.0

1.315 1701.0 1.295 1815.0 1.282 1923.0 1.272 2026.0

1.265 2124.0 1.260 2218.0 1.252 2436.0 1.248 2637.0

1.245 2824.0 1.244 2999.0

1.243 3165.0

1.242 3322.0 1.241 3617.0 1.241 3890.0 1.241 4145.0 1.241 4385.0

1.241 4613.0

1.240 5039.0

1.241 5431.0 1.241 5798.0 1.241 6142.0 1.241 6468.0 1.241 7220.0

THO-PHASE BOUNDARY
1000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE OENSITY

OEG. R LB/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(OV/OT)/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R 8TU/FT-HR-R LB/FT-SEC

X 10E + 6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

6.0 12.36 38.9 15.3 6360.0 0.00914 0.0182 12.7 0.00415 1.02070 0.890

7.0 12.21. 43.0 14.2 6390.0 0.00936 0.0197 10.8 0.00399 1.02075 0.798

8.0 12.12 48.6 12.6 6260.0 0.310 0.0212 9.44 0.00362 1.02080 0.775

9.0 12.00 54.5 11.1 6060.0 0.3105 0.0228 8.39 0.00331 1.02085 0.760

10.0 11.87 56.2 10.6 5840.0 3.0110 0.0242 7.58 3.00331 1.02089 0.696

11.0 11.73 57.5 10.3 5590.0 0.0114 0.0255 6.97 0.00330 1.02093 0.648

12-0 11.60 58.7 9.89 5330.0 3.0120 3.0266 6.47 0.00327 1.02096 0.614

13.0 11.1.6 59.7 9.55 5070.0 0.0125 0.0276 6.07 O. 00324 1.02098 0.590

lit. 11.31 60.4 9.25 4820.0 0.0130 0.0284 5.75 0.00320 1.02100 0.572

15.0 11.16 61-0 8.99 4580.0 0.0136 0.0291 5.47 0.00315 1.02101 0.560

16.0 11.01 61.5 8.76 4340.3 0.0141 0.0297 5.25 0.00311 1.32102 0.552

17.0 10.85 61.9 8.55 4120.0 0.0146 0.0331 5.05 0.00307 1. 32101 0.547

ie.o 10.69 62.3 8.35 3910.0 0.0151 0.0305 4.89 0.00303 1. 32100 0.544

19.0 10.52 62.7 8.11 3710.0 0.3156 3.0308 4.75 0.00299 1.02398 0.543

20.0 10.36 63.0 7.91 3510.0 0.016 3.0313 4.63 0.00296 1.02094 0.544

22.0 10.02 63.4 7.56 3160.0 0.0169 0.0312 4.44 0.00290 1.02084 0.550

24.0 9.675 63.7 7.26 2840.0 0.0177 0.3312 4.33 0.00286 1.02070 0.560

26.0 9.332 64.0 6.99 2580.0 0.0184 3.0312 4.20 0.00283 1.02352 0.572

28.0 8.990 64.5 6.76 2350.0 0.0190 0.0310 4.13 3.00282 1.32030 0.586

30.0 8.652 65.2 6.55 2170.0 0.0193 0.0303 4.08 0.00283 1.02304 0.601 32.0 8.322 66.2 6.36 2020.0 0.0195 3.0306 4.05 0.00285 1.01975 0.615

3<t.O 8.003 67.4 6.19 1900.0 0.0195 0.0305 4.03 0.0C289 1.01943 0.628

36.0 7.698 68.8 6.03 1790.0 0.0194 3.03G3 4.03 0.00294 1.31910 0.640

38.0 7.1.06 70.4 5.88 1710.0 0.0192 0- 0302 4.04 0.00301 1.01874 0.651

40.0 7.129 72.1 5.75 1640.0 0.0189 0.C301 4.05 0.00310 1.31838 0.660

1*5.0 6.503 77.0 5.47 1510.0 0.0179 0.C299 4.11 0.30335 1.31746 0.680 50.0 5.961. 82.4 5.25 1420.0 0.0167 3.0300 4.19 8.00365 1.01656 0.693

55.0 5.500 88.2 5-07 1360.0 0.0156 3.0302 4.28 0.00399 1.01571 0.702

60.0 5.100 94.1 4.92 132C.0 0.0146 0.0306 4.39 0.00437 1.01492 0.709

70.0 4.451 107.0 4.70 1250.0 0.0127 0.0315 4.62 0.00522 1.01351 0.715

80.0 3.949 119.0 4.53 1220.0 0.3112 0.0327 4.85 0.00617 1.01232 0.716

90.0 3.551 132.0 4.41 1190.0 0.0133 0.0343 5.09 0.00721 1.01131 0.715

100.0 3.228 145.0 4.31 1170.0 0.3C937 0.0354 5.32 0.00833 1.01346 0.712

120.0 2.735 171.0 4.17 1140.0 0.00759 0.0382 5.79 0.0108 1.30909 0.706

140.0 2.376 196.0 4.07 1120.0 0.00653 0-0412 6.24 0.0135 1.30804 0.700

160.0 2.102 222.0 4.00 1110.0 0.03574 0.0441 6.69 0.0165 1.00721 0.695

180.0 1.887 247.0 3.94 1100.0 0.00512 3.0470 7.12 0.0197 1.00654 0.690 200.0 1.712 272.0 3.90 1090.0 0.00463 0.0499 7.41 0.0231 1.00598 0.674

25C.0 1.391 335.0 3.83 1070.0 0.00374 0.0568 8.43 0.0326 1.00493 0.668

300.0 1.172 397.0 3.78 1060.0 0.00314 0.0635 9.39 0.0434 1.00420 0.664

350.0 1.013 459.0 3.75 1050.0 0.00271 0.0699 10.3 0.0554 1.00366 0.662

1)00.0 0.8921 521.0 3.72 10 40.0 0.00239 0.0759 11.2 0.0684 1.00324 0.661

1.50.0 0.7971 583.0 3.71 1040.0 0.00213 0.0817 12.1 3.0825 1.00291 0.661

50C.0 0.7204 645.0 3.69 1040.0 0.00192 0.0872 12.9 3.0975 1.00264 0.661 600.0 0.6041 769.0 3.67 1030.0 0.00161 0.0980 14.5 0.131 1.00222 0.663

70G.0 0.5202 893.0 3.66 102G.0 0.00139 0.109 16.1 0.168 1.03192 0.664

800.0 0.4567 1020.0 3.65 1020. 0.00122 0.119 17.7 3.210 1.30169 0.564

900.0 0.4070 1140.0 3.64 1020.3 3.00109 0.129 19.2 0.255 1.00151 0.664

1000.0 0.3671 1260.0 3.63 1020.0 0.000981 0.138 20.6 0.304 1.03136 0.665

1200.0 3.3d69 1510-0 3.62 1010.0 0.000820 0.157 23.4 0.413 1.00114 0.665

11.00.0 0.2636 1760. 3.62 1010.3 0.000705 0.175 26.0 3.535 1.00398 0.665

1600.0 0.2310 2010.

G

3.61 1010.0 O. 000618 0.192 28.6 0.670 1.00086 0.665

1800.0 0.2056 2260.0 3.61 1010.0 0.03G550 0.209 31.1 3.818 1. 00077 0.665

200C.0 0.1852 2500.0 3.61 1010.0 0.000496 0.225 33.5 0.978 1.00069 0.665 2500.0 0.1485 3120.0 3.60 1030.0 0.303397 0.263 39.2 1.43 1.30356 0.665

3000.0 0.1239 3740.0 3.60 1000.0 0.000331 0.300 44.6 1.95 1. 00047 0.665

TWO-PHASE BOUNOARY
120 j P5IA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME

6..0 0,, 07857

7,,0 0,,07933

e, J u , ,08008

9.,0 0,,08087

10. 0.,08166

11, u 0,,08248

12.,0 0.,08333

13.,0 0.,08422

1".. 0. 08515

15.,0 0.,08613

16.,0 0,,08716

17..0 o. 08824

18,,0 0.,08937

19.,0 0.,09057

20,,0 0.,09181

22..0 0.. 09442

24, 0,,09721

26,,0 ,1002

28,,0 0,,1034

30,,0 0,.1068

32.,0 0,,1103

34.,0 0,,1141

36. 0.,1180

38,,0 0,,1220

<t0,,0 0,,1252

45,,0 0,,1370

50,,0 0,,1482

55,,0 Q , ,1597

6C,,0 0,,1714

70.,0 0.-1950

80.,0 0,,2187

90..0 0,,2423

100,,0 0,,2658

120. 0.,3124

140,,0 0.,3585

160,,0 0,,4042

180,.0 0.,4496

200.,0 0,,4949

250,,0 0,,6072

300., 0,.7191

350.,0 0.,8307

40 0,.0 0..9421

450..0 1 ,053

500.,0 1,.165

600., 1 .387

730.,0 1,.610

800,,0 1,,832

900..0 2..055

1000.,0 2,,277 1200.,0 2,.722 1400.,0 3,,168 16C0.,0 3,,513 1800,,0 4,,059 2000,,0 4 ,504 2500,,0 5,,619

30C0,,0 6,,733

ISOTHERM DERIVATIVE

CJ FT/Li CU FT-PSIA/LE

563.0 581.0

582.0

574.0

563.0

549.0

533.0

516.0

500.0

484,

468, 453.

438.

424,

411,

386,

363,

342,

325,

311,

300,

291,

284.

278,

275, 272.0

274.0 280.0

288.0

309.0

333.0

359.0

386.0 440-0

495.0

549.0

603.0 657.0

792.0

925.0

1060.0 1190.0

1320.0

1460.0

1720.0

1990.0 2250.0

2520.0 2780.0

3320.0 3850.0

4380.0

4920.0

5450.0

6780.0

8120.0

ISOCHORE DERIVATIVE

PSIA/R

74.2

68.8 68.1

67.7

67.3 66.9

66.6

66.2 65.8

65.4 64.8

64-1

63.3

62.0 60.8

58.2 55.5

52.8

50.2 47.6

45.1 42.8

40. 5 38.4

36.4

32.0 28.4

25.5

23.0 19.2 16.5

14.4

12.8 10.4

8.83

66

76

,06

.81

,0042

.99

.65 ,39

.99

7149

33

.2000 .854 748 665 598

,479

INTERNAL ENERGY BTU/LB

3.238 3.411

3.667 4.033

4.461

4.895

5.358 5.849

6.367

6.912

7.482

8.077

8.695

9.417

10.16 11.72

13.35 15.04

16.70

18.31 19.96 21.62

23.31

25.01 26.72

31-00 35.29

39.55 43.79 52.16

60.41

68.54

75.58

92.44

108.1 123.6

138.9

154.2

192.1 229.8

267.4

304.9 342.4

379.8 454.5

529.1 603.8 678.4

753.0 902.1

1051.

Q

1200.0

13 49.0 1498.0

1871.0

2244.0

ENTHALPY

8TU/LB

20.70

21. 04 21.46

22.00 22.61

23.22

23.87 24.56

25.29

26.05

26.85 27.68

28.55 29.54

30.56

32.70 34.95

37.30

39. 67 42.03

44.47

46.97

49.53 52.13

54.76 61.45

68.23

75.05

81.88 95.49

109.0 122.4

135.6

161.8 187.7 213.4

238.8

264.2

327.1

389.6 452.0

514.2 576.4

638.6

762.7

886.8 1011.0

1135.

1259.

1507. 1755.

2003.

2251.

2499.

3120.

ENTROPY

9TU/L8-R

3408

3976 4544

5149

5763 6354

6928

7489 8036 0.8573

0.9100

0.9617

1.013

1.067

1.120

1.224

1.323

1.418 1.507

1.588

1.667 1.743 1.816

1.886

1.953

.111 .254

.384

.503

.712 .893

.05G .190 3.429 3.629

3.800

3.950 4.083 4.364

4.592 4.785

4.951

5.0 97 5.228

5.455

3740.0

.646 .812

.958 .088 .314

.506

.671 6.817

6.948 7.225

7.451

0.3181 0.3388

0.4012

0.4736

0.5014

0.5263 0.5510

0.5740 0.5948 0.6136

0.6305

0.6458

0.6597

.6729 .6943

.7028

,7167

,7268

.7345 0.7407 0.7454

0.7491

0.7519

0.7542

0.7561 0.7596

0.7621

0.7638

0.7650 0.7663

0.7665

0.7661 0.7654

0.7636

0.7618

7601 7586

7574

7550

7533

7521 7512 0.7505

0.7500 0.7492

0.7487 0.7483

0.7480 0.7477 0.7474

0.7471

0.7470 0.7468 0.7467

0.7465 0.7464

CP VELOCITY

OF SOUNO

-R FT/SEC

0.3852 1777.0 0.4053 1795.0 0.4769 1790.0

0.5607 1774.0 0.6008 1768.0 0.6394 1757.0 0.6794 1744.0 0.7190 1731.0 0.7578 1717.0 0.7955 1704.0 0.8323 1692.0 0.8681 1679.0

0.9028 1667.0 0.9346 1652.0 0.9648 1638.0

1.022 1612.0

1.073 1586.0

1.120 1563.0 1.163 1545.0 1.202 1530.0 1.236 1517.0 1.265 1507.0 1.288 1500.0 1.308 1496.0

1.323 1493.0 1.349 1495.0 1.362 1506.0 1.366 1523.0 1.365 1544.0 1.357 1593.0 1.344 1646.0 1.332 1701.0 1.321 1756.0 1.302 1864.0 1.287 1968.0

1.277 2067.0 1.269 2162.0

1.263 2254.0 1.254 2468.0 1.249 2665.0 1.246 2849.0

1.244 3023.0 1.243 3186.0 1.242 3342.0 1.241 3635.0 1.241 3906.0 1.241 4159.0

1.240 4399.0

1.240 4626.0

1.240 5049.0

1.240 5441.0

1.240 5806.0

1.240 6160.0

1.240 6475.0 1.241 7226.0

THO-PHASE 80UNDARY
1203 PSIA ISOBAR

THERHOPHYSICAL PROPERTIES OF HELIUM it

TEMPERATURE DENSITY

DEG. R LB/CU FT

\MOH/DV) V(DP/OU) -VIDP/OV)

p v T

BTU/L3 PSIA-CU FT/BTU PSIA

(DV/OT1/U THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R 3TU/FT-HR-R L8/FT-SEC

X 10E + 6

THERMAL DIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

SO. FT/HR

6.0 12.73 37.2

7.0 12.61 43.1

8.0 12. it

50.9

s.o 12.37 58.7

10.0 12.25 61.5

11.0 12.12 63.5

12.0 12. JO 65.2

13.0 11.87 66.6

lit.O 11.74 67.6

15.0 11.61 68.4

16.0 11.1.7 69.0

17.0 11.33 69.5

18. 11.19 70.0 19.0 11. 04 70.6

2C.0 10.89 71-1

22.0 10.59 71.7

24.0 10.29 72.2

26.0 9.98 72.5

28.0 9.674 73.0

30.0 9.367 73.6

32.0 9.063 74.4

3it.O 8.765 75.3

36.0 8.475 76.5

38.0 8.194 77.8

40. 7.924 79.3

1*5.0 7.299 83.6 50.0 6.746 88.6

55.0 6.260 94.0 60.0 5.834 100.0 70.0 5.128 112.0 SCO 4.573 124.0

90.0 4.128 137.0 100.0 3.763 150.0

120.0 3.201 175.0

l",C.O 2.790 201.0

160.0 2.474 227.0

18C.0 2.224 252.0

20C.0 2.021 277.0

250.0 1.647 340.0

30C.0 1.391 402.0

350. 1.204 464.0

itOO.O 1.062 526.

It50.0 0-9493 588.0 500.0 0.8586 650.0

600. 0.72 9 774.0

700.0 0.6213 898.0

800.0 0.5458 1020.0

900.0 0.4867 1150.0 1000.0 0.4391 1270.0

1200.0 0. 3673 1520.0

litOO.O 0.3157 1760.0

1601.0 0.2768 2010.0

1800.0 0.2464 2260.0

2000.0 0.222O 2510.

2500. 0.1780 3130.0

18 3 7160

16 1 7330

13 6 7260

11 6 7100

11 6900

10 5 6650

10 1 6390

9 72 6130

9 42 5870

9 17 5620

8 95 5370

8 76 5130

8 57 4900

8 35 4690

6 15 4480

7 82 4090

7 53 3730

7 28 3420

7 06 3150 .0

6 86 2910

6 68 2720

6 51 2550

6 35 2400

6 21 2280

6 07 2180

5 77 1980

5 53 1850

5 33 1750

5 16 1680

4 90 1590

4 70 1520

4 56 1480

4 44 1450

4 27 1410

4 16 1380

4 07 1360

4 01 1340

3 96 1330

3 87 1300

3 81 1290

3 78 1270

3 75 1260

3 73 1260

3 71 1250

3 69 1240

3 67 1230

3 66 1230

3 65 1230

3 64 1220

3 63 1220

3 62 1220

3 62 1210

3 61 1210

3 61 1210

3 63 1210

0.0104 0.00939

0.00937

0.00955

0.00976 0.0101

0.0104

0.0108 0.0112

0.0116

0.0121

0.0125 0.0129

0.0132

0.0136

0.0142 0.0149

0.0154

0.0159

0.0163

0.0166

O.0168

0.0168

0.016 8 0.016 7 0.0161

0.0154

0.0145

0.0137

0.0121 0.0108

0.00972

0.00882 0.00742

0.0064C 0.00564

0.00504

0.00456 0.00369

0.00311 0.00268 0.00236

0.00211

0.00191

0.00160

00138

00121

ooioe 000977

000818 000703 000616

000549

000495

00C397

0193

0208 0224

0240 0256

0270

0282

0293

0311

0317

0323 0327

0330 0333

0336

0338 0338

0335 0333

0331 0329

0328 0326 0.0323

0.0323

0.0323 0.0326

0. 0333 0.D343

0.0354

0.0367

0.0394

0.0422 0.0451 0.0479

0.C507 0.0576

0.0642

0.0704 0.0764

0.0822

0.0876

0.0983

0.109

0.119

0.129 0.139

157 175

192 209

225

263

15.9 13.3 11.4

10.0 8.91

8.11

7.48 6.98

6.56

6.22 5.93 5.69

5.49

5.31

5.16 4.92 4.74

4.61

4.51

4.43 4.38 4.35

4.33

4.32

4.32

4.35 4.41

4.49

4.59 4.79

5.01

5.24

5.46

5.92 6.36

6.80 7.22

7.51

8.51

9.47

10.4

11.3 12.1

12.9

14.6

00394 1 02050 00407 1 02057

00377 1. 02064

00347 1 02070 00348 1 02075 00348 1 02080 00346 1 02085

00344 1 02089

00340 1 02092 00336 1 02095

00332 1 02098 00328 1 02100

a 00324 1 02101 00320 1 02102 00317 1 02101 00311 1 02099 00306 1 02093 00302 1 02083 00299 1 0237O 00298 1 02054

00298 1 02035 00299 1 02013 00302 1 01989 00306 1 01963 00311 1 01935

00328 1 01861 00351 1 01784

C0378 1 01707 C0409 1 01633 00478 1 01497

00557 1 01378 00644 1 01275 00738 1 01186 00945 1 01039

0118 1 00925

0143 1 00833

0170 1 00758 0199 1 00696

0279 1 00577 0369 1 00493

0470 1 30431

c 0579 1 00382

0696 1 00344

0822 1 00312

110 1 00264

141 1 00228

176 1 00201

214 1 00180

255 1 00163

345 1 00137

447 1 00118

560 1 00103

0. 683 1 00092

816 1 00083

1 19 1 00067

1 63 1 00056

1.15 0.931

0.871

0.837 0.754

0.692

0.648

0.616

0.592

574

561 551

545

541 538 0.538

0.542

0.550

0.560 0.573 0.585

0.598

0.609 0.621 0.631

.653

.670 .683

.692

.703 .706 0.7Q9

0.708 0.704

0-698

693

689

673

667

663

661

660 659

660

662

0.663 0.663 0.664

0.664

0.664

0.665

0.665 0.665

0.565

0.665

0.665

TWO-PHASE BOUNDARY
11.00 PSIA ISOBAR THERMODYNAMIC PROPFRTIES OF HELIUM d

TEMPERATURE VOLUHE

7 .0 .07731

8 .07801.

9 .0 07877

10 0791.9 11 .0 0B020

12 08091. 13 08171

l<t 08252

15 08335

16 081.23 17 08511. ie 08610

19 08711

20 08816

22 09031. 2* 09265

26 09509

28 09769

30 1005

32 1031. 3* 1061. 36 1096

38 1129

1.0 1163

*5 1253

50 131.6 55 11.1.2 60 151.1 70 171.0 80 191.2 90 211.3 100 231.1. 120 271.1. 11.0. 311.0

160. 3532

180 3922

200 1.310 250 5271. 300 6233

350 7188

<t00 811.3

1.50 9096

500 1 005 600 1 196

700 1 386

800 1 577

900 1 767 1000 1 958 1200 2 339

11.00 2 721 1600 3 103 1800 3 l»St» 2000 3 866 2500 * 821

ISOTHERM DERIVATIVE

CU FT/LB CU FT-PSIA/LB

635.0

61.2.0 636.0

630.0

616.0

601.0 586.0

569.0 553.0

538.0 522.0

507.0

1.93.0

1.80.0

1.51.. 1.30.0 1.08.0 389.0 372.0

358.0

31.6.0 337.0 329.0

323.0

311.. 313.0 315.0

321.0 339.0

361.0 385.0

1.10.0 1.63.0 517.0

571.0

625.0 679.0

812.0 9U6.0

1080.0

1210.0

131.0.0

11.80.0

171.0.0

2010.

2270,

251.0, 2800,

3330,

3860,

1.1.OO. 1.930, 51.60, 6800,

ISOCHORE INTERNAL ENTHALPY DERIVATIVE ENERGY PSIA/R 8TU/LB BTU/LB

80.0 3.698 23.71.

71..

9

3.91.0 21.. 17 72.3 *.292 21.. 71 70.7 *.706 25.31

69.7 5.121. 25.92

69.1 5.569 26.55

68.7 6.01.0 27.22

68.1. 6.537 27.93

68.1 7.059 28.67

67.7 7.605 29.1.1. 67.3 8.173 30.25

66.7 8.763 31.08

65.6 9.1.62 32.05

61..

5

10.18 33.01. 62.2 11.69 35.11

59.8 13.27 37.29

57.3 11.. 91 39.56

51..

9

16.52 1.1.81.

52.5 18.07 1.1.. 1? 50.1 19.66 1.6.46

1.7.8 21.28 1.8.87

1.5.5 22.92 51.31.

1.3.1. 21.. 58 53. 86

1.1.3 26.25 56.1.1 36.7 30.1.7 62.91. 32.8 31.. 70 69.60 29.5 38.91. 76.33

26.8 1.3.16 83.10 22.5 51.51. 96.65

19.3 59.81 110.1 16.9 67.99 123.5

15.0 76.07 136.8

12.2 92.02 163.1 10.3 107.7 189.1

8.95 123.3 211..

9

7.90 138.7 21.0.1. 7.07 151.. 265.8 5.61 192.1 328.8

it. 66 229.9 391.1. 3.99 267.5 1.53.9

3.1.8 305.0 516.1

3-09 31.2.5 578.3

2.78 380.0 61.0.5 2.32 1.51..

7

76*. 7 1.99 529.1. 888.7

1.71. 601.. 1 1013.0

1.55 678.7 1137.0

1.39 753.3 1261.0

1.16 902.5 1509.0

1.00 1052.0 1757.0

0.872 1201.0 2005.0

0.775 1350.0 2253.0

0.698 11*99. 2501-0

0.558 1872.0 3121.0

3693

1.271. 1.877

51.81. 6065

6627

7173 7706 0.8227

0.8737

0.9237

9727

026

077

178

271. 366

1.52

1.530 1.606

1.679

1.71.9 1.817 1.883 2.036

2.177 2.305

2.1.23 2.632

2.812

2.970

3.110

3.350 7.550 3.722 3.872

*.006

I.. 287 *.516

l.. 708

l.. 875 5.021

5.152

5.378

5.570 5.735

5.881 6.012

6.238

6.1.29 6.595

6.71.1 6.872

7.11.9

0.31.1.9 0.1.013

0.1.721

0.1.991. 0.5238

0.51.80 0.5701. 0.5908 0.6093

0.6261

0.61.15 0.6556

0.6688

0.6801. 0.6998

0.711.7 0.7257

0.731.1

71.10 71.62 7502

7532 7556

7575 0.7610 0.7635 0.7653

0.7666

0.7681 0.7686

0.7685

0.7679

0.7662

0.761.2

0.7621. 0.7608

0.7591. 0.7567

751.8 7531. 7521. 7516

7509

7500

71.91. 71.89

71.85

71.83

71.78 71.76 71.73

71.72

71.70 71.68

CP VELOCITY

OF SOUNO

-R FT/SEC

0.1.230 1899.0

0.1.801 1866.0 0.5568 1667.0 0.5923 1860.0

0.6271 18*9.0 0.6636 1837.0 0.7001 1825.0 0.7359 1813.0 0.7711 1801.0 0.8055 1790.0 0.8392 1779.0 0-6720 1768.0 0.9017 1755.0 0.9301 17*3.0 0.9833 1719.0 1.032 1696.0 1.076 167*. 1.117 1656.0 1.156 16*0-0

1.190 1627.0 1.220 1616.0

1.21.6 1607.0 1.268 1600.0 1.287 1595.0 1.321 1590.0

1.3*1 1595.0

1.351 1606.0 1.355 1622.0

1.353 1663.0

1.31.5 1710.0

1.335 1760.0 1.325 1811.0 1.306 1913.0 1.292 2012.0 1.281 2108.0

1.273 2201.0

1.266 2290.0 1.256 2*99.0

1.250 269*.

1.21.7 2875.0

1.21.5 30*6.0 1.2*3 3208.0

1.2*2 3363.0 1.2*1 3653.0 1.2*1 3922.0

1.2*0 *17*.0

1.2*0 **12.0

1.2*0 1.638.0 1.2*0 5060.0

1.2*0 5*50.0

1.2*0 581*. 1.2*0 6157.0

1.2*0 6*62.0

1.2*0 7231.0 7.375

TWO-PHASE BOUNDARY
11.00 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM *

TEMPERATURE DENSITY DEC R LB/CU FT

VIOP/DU) -V<QP/DV>

v 1 PSIA-CU FT/9TU PSIA

(OV/OT>/V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E»6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SO. FT/HR

PRANOTL NUMBER

7 ,0 12 ,93

8 .0 12..81

9 .0 12 .70 10 ,0 12,.58 11 .0 12 ,lt7 12..0 12..35

13..0 12 .2*

1<>.,0 12 .12

15.,0 12,,00

16,,0 11 .87

17,,0 11,,7<t 18,.0 11,.61

19.,0 11,.*8

JO,,0 11,,3*

22,,0 11,,07

2*,,0 10,.79

26,,0 10. 52

28,,0 10,,2*

30,,0 9,,95

32,,0 9,,673

3lt. 9. 395

36,,0 9,,122

36,,0 8,,855

*0,,0 8,,595

<t5,,0 7,,983

50,,0 7,,*29

55,,0 6,,933

60. 6. *91

70,,0 5,,7*6

80,,0 5,,150

90,,0 It, ,666

100,.0 it, ,266

120,,0 3,,6*5

1*0,,0 3,,185

160..0 2..831

180,,0 2,,550 200,,0 2,,320

250,,0 1,,896

300. 1. 60*

350,,0 1,,391

itOO,,0 1,,228

*50,,0 1,,099

500., 0. 995

600,,0 0,,8365

700,,0 0,,7215

800,,0 0.,63*2

900,,0 0,,5658

1000,,0 0,,5107

1200.,0 0,,*275

1*00..0 0..3675

1600,,0 0,,3223

1800,,0 0,,2870

2000,,0 0,,2597

2500.,0 0.,207<t

"i3.it 52.7

62.it 66.3

69.1 71.3

73.0

7lt.2

75.2 75.9

76.5

77.1 77.8

78.lt

79.lt 80.1

80.6

81.0

81.6

82.3

83.1

Slt.l 85.2

86.5

90.it 9ii.9 100.0

106-0 117.0

129.0

142.0

155.0 180.0

206.0

231.0 257.0

282.0

31.5.0 lt07.0

lt69.0 531.0

593.0

6 55.0 779.0

902.0

1030.0

1150.0 1270.0

1520.0 1770.0

2020.0 2260.0

2510.0

3130.0

3750.0

17.9

lit.

6

12.1

11.3

10.7

10.2

9.81t 9.55

9.32

9.11 8.93

8.76 8.5*

8.36 8.03 7.75

7.51

7.30

7.12

6.9lt 6.78

6.63

6.!tB 6.3"t

6.0"t 5.78

5.57

5.38

5.09

It. 87

<t. 71

it. 57

it. 38

lt.2lt

It. 15

it. 07

it. 01 3.91 3.85

3.80 3.77

3.75

3.73

3.70

3.68 3.67

3.65

3.65

3.63 3.63

3.62

3.61

3.61

3.60

3.60

8210, 8230.

8100. 7920.

7690.

7lt30. 7170. 6900.

661.0.0 6380.0

6130.0

5890.0

5660.0

51. 1.0.0 5020.0

It6lt0.0 1.290.0 3980.0

3710.0

3"t70.0 3260.0

3070.0 291C.0

2780.0 2510.0

2320.0

2190.0

2090.0

1950.0 1860.0

1800.0

1750.0 1690.0

1650.0

1620.0 1590.0

1570.0

15lt0.0 1520.0 1500.0

11.90.0 11.80.0

11.70.0

11.60.0

1*50.0

l"tt|0.0 1*30.0

1*30.0

1*20.0

1*20. 1*20.0 1*10.0

1*10.0

1*10.0

1*10.0

.0097* 0,.0219

0..00910 0.. 0236

.00893 ,0253

0,,00893 0,,0269

0,.00907 0,.028*

0,,00930 0,,0298

0,,00959 0,,0310

0,,00991 0,,0320

0,,0103 0..0329

0,,0106 0,,0336

0,,0110 0,,03*2

0,,0113 0,,03*7

0,.0116 0..0351

0,,0119 0,,035*

0,,012* 0,,0359

0,,0129 0,.0361

0.,0133 0..0361

0,,0138 0,,0361

0,,01*2 0,,0360

0.,01*5 0..0358

0,,01*7 0,,0356

0.,01*8 0,,035*

0,,01*9 0,,0352

0. 01*9 0..0350

0,,01*6 0,,03*6

0,,01*1 0.,03**

0,,0135 0,,03**

0.,0128 0,,0 3*5

0,,0115 0,,0350

0.,010* 0,,0359

0,,009*0 0,,0369

0,,00856 0,,0380

0,,0072* 0,,0*05

0,,00627 0,,0*33

0,,0055* 0,,0*63

0,,00*96 0,,0*88

0,,00**9 0,,0515

D,,0036* 0.,0583

0,,00307 0,,06*9

0.,00266 0,,0710

0,,0023* 0.,0773

0.,00210 0.,0826

0,,00190 0.,0881

0.,00159 0.,0987

0,,00137 0.,109

0. 00121 0..119

0,,00108 0., 129

0.,00097* 0.,139

0,,000815 0.,157

0.,000701 0,,175

0,,000615 0.,192

0.,0005*8 0,,209

0,,000*9* 0.,225

0,,000396 0.,263

0,,000331 0,,300

16.1

13.6 11.7

10.*

9.37 8.57 7.9*

7.*3

7.00 6.65

6.35

6.10 5-88 5.69

5.39

5.17

5.01 *.88

<t.78 *.71

* .65 *.62

*.60 *.59

*.59

*.63

*.70 *.78

*.96 5.17 5.39

5.60 6.0*

6.*8

6.90 7.32

7.60 8.59

9.5*

10.*

11.3

12.2

13.0

1*.6

16.2

17.7

19.? 20.6

23.*

26.1 28.6

31.1

33.5

39.2 **.6

00*00 00383

00357

00361

00363

00363

00361

00359 0.00355

0.00351 0.003*7

0.003*3

0. 00339 0.00336

0.00329

0.0032* 0.00319

0.00316

00313

00311

00311 00311

00313 00317 0.00328 0.003*6

0.00367

0.00392

0.00*50 0.00517

0.00591 0.00672

0.00852

0.0105

0.0127

0.0150 0.0175

0.02*5

0.0323

0.0*10 0.050*

0. 0605 0.0712

0.0950

0.122

0.152 0.18* 0.219

0.297 0.38*

0.*81

0.587

0.701

1.02

l.*0

02037

020*5

02052

02059

02065

02070 02075

02080 02085 02089

02092

02095

02098

02100 02102

02101

02097

02082

02070 02056 02039

02020 01999 1.019*1

1. 01877

1. 01811 1.017**

1.01617

1. 01502 1.01399

1.01308 1.01156

1.01035

1.00936

1.00855 1.00787

1. 00657 1.0056*

1.00*9* 1.00*39

1. 00395 1.00360 1.0030*

1.0026*

1.00233 1.00208

.00189

.00158

.00137

.00120

.00107 .00097

.00078

12

00931 823 7**

688 6*7

615 0.592

0.5 7* 0.561

0.552 0.5**

0.538

0.533

0.533 0.537 0.5**

0.553 0.56*

0.575 0.586

0.596 0.607

.630

.6*9 .665

.676

.691

.599 0.703 0.703

0.701

0.696

.692

.687

.672

.666 .662

.660 0.658

0.658 0.659

0.660

662

662 663

663

66*

66* 66*

665

665 665 1.00065

TWO-PHASE 30UNDARY
1600 PSIA ISOBAR THERMODYNAMIC PROPFRTIES OF HELIUM It

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY DEC R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB 9TU/LB

7.0 0.07551. 683.0 93.6 3.987 26.37

e.o 0.07627 698.0 82.8 it.22it 26.82

9.0 0.07696 698.0 77. 4 4.569 27.37

10.0 0.07762 693.0 7"(. 3 4.973 27.97

11.0 0.07827 681.0 72.5 5.379 28.57

12.0 0.07893 667.0 71.5 5.811 29.20

13.0 0.07961 651.0 71.0 6.268 29.85

14. 0.08031 636.0 70.7 6.71.8 30.51. 15.0 0.08101. 620.0 70.5 7.251 31.26

16.0 0.08181 601.. 70. 3 7.776 32.01

17.0 0.08260 589.0 70.0 8.323 32. 80 ie.o 0.0831.3 571.. 69.6 8.890 33.61

19.0 0.081(31 559.0 68.7 9.570 3it.55 20.0 0.08522 51.6.0 67.7 10.27 35.52

22.0 0.08709 519.0 65.7 11.71. 37.5it

Zl.. 0.08907 1(95.0 63.5 13.27 39.66

26.0 0.09115 1(72.0 61.2 lit. 88 1.1.88 28.0 0.09335 1(52.0 59.0 16. 1.1. 1.1.. 10 30.0 0-09568 1(33.0 56.7 17.95 1.6.30

32.0 0.09811. 1(17.0 5it.5 19.1.9 1(8.57

3 <t.

a

0.1007 1(03.0 52.2 21.07 50.90

36.0 0.1031. 392.0 50.0 22.67 53.30

38.0 0.1062 382.0 <t7.9 21.. 28 55.7l(

1.0.0 0.1090 373.0 1(5.8 25.92 58.23

1.5.0 0.1166 360.0 1(1.1 30.06 61.. 60 50.0 0.12it5 35i(.0 37.0 31.. 25 71.11. 55.0 0.1328 353.0 33. it 38.1.5 77.78

60.0 0.11(12 356.0 30.1. 1.2.65 81.. 1(8 70.0 0.158it 370.0 25.6 51.01 97.95

80.0 0.1759 389.0 22.1 59.29 111.4

90.0 0.1935 i(12.0 19.3 67.it9 124.8

100.0 0.2110 1(36.0 17.2 75.61 138.1

120.0 0.21(60 1(87.0 li.. 91-63 164.5

11.0.0 0.2806 51(0.0 11.8 107. it 190.6

160.0 0.3150 59i(.0 10.2 123.0 216.4

180.0 0.31(91 61(7.0 9.01. 138.5 242.0 200.0 0.3831 700.0 8.09 153.9 267.4

250.0 0.1(675 831.. 6.1.1 192.0 330.5

300.0 0.551i( 966.0 5.32 229.9 393.3

350.0 0.6350 1100.0 4.55 267.6 455.7

1.00.0 0.7181( 1230.0 3.98 305.2 518.0

1.50.0 0.8018 1360.0 3.53 3it2.7 580.3

500.0 0.8852 H90.0 3. 18 380.1 642.4

600.0 1.052 1760.0 2.65 1.55.0 766.6

700.0 1.218 2020.0 2.27 529.7 890.7

800.0 1.385 2290.0 1.99 601.. it 1015.0

900.0 1.552 2550.0 1.77 679.0 1139.0

1000.0 1.718 2820.0 1.59 753.6 1263.0

1200.0 2.052 3350.0 1.33 902.8 1511.0

11.00.0 2.386 3880.0 1.11. 1052.0 1759.0

1600.0 2.719 1.1.10.0 1.00 1201.0 2007.0

1800.0 3.053 1(91(0.0 0.885 1350.0 2255.0

2000.0 3.387 51(80.0 0.797 11.99.0 2503.0

2500.0 I(.222 6810.0 0.638 1872.0 3123.0

ENTROPY 9TU/LB-R

0.3403

0.4014

0.4626

0.5233 0.5809 0.6363

0.6899

0.7420 0.7928

8424

8911 9387

9905

041 139

233

323

406 1.482 1.555 1.626

1.694

1.760 1.824

974

112

238 355

563

742

900

041

281 482 3.654 3.805

3.939

4.221

4.449

4.642

4.808

4.955 5.086

5.312

5.504 5.669

5.815 5.946

6.172

6.363 6.529

6.675

6.306

7.082 7.309

0.3627 0.4085

0.4754

0.5005

0.5234 0.5464

0.5678 0.5874

0.6053

0.6218 0.6371

0.6513 0.6644

.6762 .6964

.7124

.7241 .7332

0.

0.

0.

0.0.0.7409

0.7466

0.7509

0.7543 0.7568

0.7588 0.7624

0.7649

0.7667

0.7681

0.7698 0.7706

0.7706 0.7702

0.7686

0.7667

0.7648

0.7630 0.7615

0.7585 0.7563

0.7547 0.7535

0.7526 0.7519

0.7508 0.7501

0.7495

0.7491 0.7488

0.7483

0.7480

0.7477 0.7475

0.7474

0.7471

0.7469

CP VELOCITY

OF SOUND

-R FT/SEC

0.4576 1998.0 0.4932 1976.0

0.5600 1952.0 0.5894 1944.0 0.6197 1932.0 0.6525 1921.0 0.6857 1909.0 0.7188 1898.0 0.7515 18B8.0 0.7839 1878.0 0.8158 1869.0

0.8471 1859.0 0.8753 1848.0 0.9024 1836.0 0.9533 1815.0 1.000 1794.0 1.041 1773.0

1.081 1756.0 1.119 1741.0

1.153 1728.0 1.183 1716.0

1.210 1706.0 1.233 1697.0 1.254 1691.0 1.294 1681.0 1.319 1681.0 1.335 1687.0 1.344 1699.0

1.348 1732.0 1.344 1773.0 1.336 1818.0

1.327 1865.0

1.310 1961.0 1.296 2056.0 1.285 2149.0 1.276 2239.0

1.269 2325.0

1.258 2531.0 1.251 2721.0

1.248 2900.0 1.245 3069.0 1.244 3230.0 1.243 3383.0 1.241 3671.0 1.241 3938.0

1.240 4188.0 1.240 4425.0

1.240 4650.0

1.240 5071.0

1.240 5459.0

1.240 5822.0

1.240 6164.0

1.240 6488.0

1.240 7236.0

1.240 7914.0

TWO-PHASE BOUNOARY
THERMOPHYSICAL PROPERTIES OF HELIUM It

1600 PSIA ISOBAR

TEMPERATURE DENSITY VIDH/DV)

DEG. R LB/CU FT BTU/LI

7.0 13.2<< if if.

2

8.0 13.11 5it.5 9.0 12.99 65.7

10.0 12.88 70.8

11.0 12.78 7 it. <f 13.0 12.67 77.1

13.0 12.56 79.1

l<t.O 12.if5 80.5

15.0 12.31. 81.5

16.0 12.22 82.lt 17.0 12.11 83.1

18. 11.99 83.7 19.0 11.86 8it.6 20.0 11. 74 85.3

22. 11. if 8 86.5

24.0 11.23 87.5

26.0 10.97 88.2

26.0 10.71 88.7

30.0 10. if 5 89.3

32.0 10.19 90.0

3 1». 9.929 90.7

36.0 9.672 91.6

38.0 9.ifl9 92.6

itO.O 9.171 93.7

45.0 8.578 97.2

50.0 8.031 101.0

55.0 7.533 106.0 60.0 7.082 111.0

70.0 6.311 123.0

80.0 5.68if 135.0

90.0 5.168 lif7.0 100.0 If. 738 160.0 120.0 it. 066 185.0

litO.O 3.56if 211.0 160.0 3.175 236.0 180.0 2.86lf 262.0 200.0 2.610 287.0

250.0 2.139 350.0

300.0 l.Sltf it 12.0 350.0 1.575 If7it.0 ifOO.O 1.392 536.0

450.0 1.2if7 598.0 500.0 1.130 660.0

600.0 0.9508 78it.O 700.0 0.8207 907.0

800.0 0.7220 1030.0 900.0 0.6!tl>!t 1150.0

1000. 0.5819 1280.0 1200.0 0.if873 1530.0

1 ifOO.O 0.4192 1770.0

1600.0 0.3677 2020.0

1800.0 0.3275 2270.0

2000.0 0.2952 2520.0 2500.0 0.2368 31it0.0

V<DP/OU> -V(OP/DV>^

p v T

PSIA-CU FT/BTU PSIA

19.5 90lf0.0 15.5 9150.0

12.5 9070.0 11.5 8920.0

10.8 8700.0 10.3 8if50.0 9.95 8180.0 9-66 7910-0

9.it3 7650.0

9.21. 7380.0

9.07 7130.0 8.92 6880.0

8.71 6630.0

8.51. 61.00.0 8.22 5960.0

7.9if 5560.0

7.70 5180.0

7.51 1.81.0.0 7.33 1.530-0

7.16 tt250.0 7.01 1.010.0 6.86 3790.0 6.72 3590.0 6.58 31.20.0 6.28 3090.0 6.02 281.0. 5.79 2660.0 5.59 2520.0 5.28 2330.0

5.04 2210.0

If. 85 2130.0

if. 70 2070.0

if.itfl 1980.

if. 33 1920.0

it. 22 1880.0

it. 13 1850.0

it. 07 1830.0

3.95 1780.0

3.88 1750.0 3.83 1730.0 3.79 1710.0 3.77 1700.0

3.7lf 1690.0

3.71 1670-0 3.69 1660.0 3.67 1650.0 3.66 1650.0 3.65 161.0.0 3.6U 1630.0

3.63 1630.0 3.62 1620.0 3.62 1620.0 3.61 1620.0

3.61 1610.0

<DV/DT)/V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

0.0101. 0.00905

0.00853

0.00833 0.00833

0.0081.6 0.00867

0.00893

0.00922

00952

00982

0101

0101. 0106

0110

0111. 0118

0122 0.0125 0.0128

0.0130 0.0132

0.0133

0.0131. 0-0133

0.0130 0.0126

0.0121

0-0110 0.0100 0.00908

0.00831 0.00707

0.00615

0. 00541. 0.001.88

0.001. 1.2 0.00360

00301. 00263

00232

00208 00188 0.00158

0.00137

0.00120

0.00107 0.000970 0.000813 0.000699

0.000611. 0.00051.7

0.0001.93 0.000396

0.000330

0.0229

0.0247

0264

0282

0298

0312 0325 0336

031.6

0.035lf 0.0361 0.0366

.0371

.037it .0379

.0382

,0383 0383

. 0382 0.0381 0.0379

0.0377

0.0375 0.0373

0.0368

0.0365 0.0364

0.0 36 3 0.0367

0.0373 0.0382

0.0393

0.0417

0.0ifif3

0.0470

0.0497

0.0521f 0.0591 0.0655

0.0716

0.0775

0.0831 0.0885

0.0990

109

120 129

139

158

175

192 209

225

263

8.98

8.35 7.83

5. Ill 5.25

5.13 5.04

4.96

4.91 4.87

4.85 4.83

4.85

4.90

4.96 5.13

5.32

5.53

5.74

6.17 6.59

7.01

7.42

7.69

8.67 9.61

10.5 11.4

12.2

13.0 14.6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SQ FT/HR

0,,00378 1,,02015

0.,00381 1,,02025

0,,00363 1,,02033

0,,00371 1,,02040

0.,00376 1,,02047

0.,00378 1,,02054

0,,00377 1.,02060

0,,00376 1.,02065

0.,00373 1.,02071

0,,00369 1.,02076

0..00365 1..02081

0,,00361 1,,02085

0.,00357 1,,02089

0,,00353 1,,02093

0. 00346 1. 02098

0,,00340 1,,02101

0.,00336 1.,02102

0.,00331 1,,02100

0.,00327 1.,02096

0.,00324 1,,02090

0,,00323 1..02081

0,,00322 1,,02070

0,,00323 1,,02057

0.,00324 1.,02042

0. 00332 1. 01998

0.,00345 1.,01946

0. 00361 1,,01890

0,,00382 1..01832

0.,00431 1.,01716

0,,00489 1,.01606

0.,00554 1..01505

0,,00625 1,,01415

0.,00783 1.,01260

0,,00959 1.,01135

0.,0115 1,,01032

0.,0136 1..00946

0.,0158 1,,00873

0.,0220 1.,00732

0,,0289 1.,00631

0. 0365 1.,00554

0.,0447 1,,00494

0,,0536 1.,00445

0,,0630 1,,00406

0.,0839 1.,00344

0.,108 1.,00299

0.,134 1,,00264

0.,162 1. 00237

0,,193 1.,00214

0.,261 1..00180

0,,337 1,,00155

0. 422 1. 00137

0,,514 1..00122

0.,615 1..00110

0,,897 1,,00089

1.,22 1. 00074

PRANDTL NUMBER

1.40 1.16

05904

804

734 682

643

613 0.591

0.574

0.561 0.550

0.542

0.532

0.529

0.529

0.533 0.540 0.549

0.558

0.567 0.577

0.587

0.611 0.631

0.647

0.661 0.679

0.690 0.696 0.698

0.697

0.694

0.690 0.586

0.671

0.665

0.661

0.658 0.657 0.657

0.657 0.659

.661 .662

.662 .663

.664 .664

.664 .664 0.664

0.665

0.665

TWO-PHASE BOUNDARY
1600 PSIA ISOBAR THERMODYNAMIC PROPFRTIES OF HELIUM It

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

DEG. R CU FT/L8 CU FT-PSIA/LB PSIA/R BTU/LR BTU/LB

7.0 0.07395 727.0 110.0 l(.271( 28.92

8.0 0.071(70 750.0 91.9 i(.51i( 29.1(1 9.0 0.07537 755.0 83.1 l(.856 29.98

10.0 0.07599 752.0 78.1 5.255 30.58

11.0 0.07658 71.2.0 75.3 5.655 31.16

12.0 0.07718 729.0 73.8 6.077 31.60

13.0 0.07779 715.0 73.0 6.522 32,it5

11). 0.0781.2 699.0 72.7 6.988 33.13

15.0 0.07907 683.0 72.6 7.1.76 33.83

16.0 0.07975 668.0 72.5 7.983 3it.57 17.0 0.0801(6 652.0 72. It 8.512 35.33

18.0 0.08119 637.0 72.2 9.060 36.12

19.0 0.06197 623.0 71.1. 9.723 37.0ii 20.0 0.08276 609.0 70.6 10.1.1 37.99

22.0 0.061(1(2 583.0 68.8 11.81. 39.97

21). 0.08615 558.0 66.8 13.31. 1.2.06 26.0 0.08796 535.0 61|.7 lit. 91 it it. 23 28.0 0.08986 513.0 62.6 16. it it i(6. '9 30.0 0.09186 1.91.. 60.5 17.90 1(8.53

32.0 0.091(00 1.76.0 56.1. 19.1.1 50.7it

31). 0.09622 1.61.0 56.2 20.9i( 53.01

36.0 0.09852 1.1(7.0 5l(.l 22.51 55.35

38.0 0. 1009 1.35.0 52.0 2lt.09 57.73

1*0.0 0.103l( 1.25.0 1(9.9 25.69 60.15

<t5.0 0.1099 1.07.0 1(5.1 29.76 66.39

50.0 0.1168 396.0 1(0.9 33.89 72.81

55.0 0.1239 392.0 37.2 38.05 79.35

60.0 0.1313 393.0 33.9 it2.22 85.98

70.0 0.11(61) 1.02.0 28.7 50.56 99.36

80.0 0.1616 1.19.0 2i(.8 58.81. 112.8

90.0 0.1771. i(i(0.0 21.7 67.05 126.2

100.0 0.1929 1(63.0 19.3 75.19 139.5

120.0 0.2239 512.0 15.8 91.27 165.9

11.0.0 0.251(7 56<(.0 13.3 107.1 192.0 160.0 0.2853 617.0 11.5 122.8 217.9

180.0 0.3156 669.0 10.2 138.3 21.3.5 200.0 0.31.59 723.0 9.10 153.8 269.0

250.0 0.1(209 855.0 7.22 192.0 332.3

300.0 0.i(95i( 987.0 5.98 229.9 395.1

350.0 0.5697 1120.0 5.12 267.7 1.57.6

1(00.0 0.61(39 1250.0 it. 1(7 305.3 519.9

1(50.0 0.7179 1380.0 3.97 31.2.9 582.2

500.0 0.7920 1510.0 3.57 380.3 6l(l(.3 600.0 0.91.0 1780.0 2.98 1.55.2 76 8.5 700.0 1.088 201.0.0 2.55 530.0 892.6

SO 0.0 1.236 2310.0 2.23 60i(.7 1017.0

900.0 1.381) 2570.0 1.99 679.3 111.1.0 1000.0 1.532 261(0.0 1.79 75i(.0 1265.0

1200.0 1.828 3370.0 1.1.9 903.2 1513.0

11(00.0 2.125 3900.0 1.28 1052.0 1761.0

1600.0 2.1(21 1(1(30.0 1.12 1202.0 2009.0

1800.0 2.718 1(960.0 1.00 1351.0 2257.0

2000.0 3.015 51(90.0 0.896 1500.0 2505.0

2500.0 3.757 6820.0 0.717 1873.0 3125.0

ENTROPY

8TU/LB-R

,3100 ,3759

,1(390 ,5003 .5578

,6127

,6655 ,7167 7665 0.8150 0.8625

0.9069

0.9597 1.009

1.106

1.198

1.286

1.367

1.1(1(0

1.512

1.581

1.61(7 1.712

1.771.

1.921 2.056

2.181 2.296

2.502

2.681

2.839

2.979

3.220

3.1(22

?.59i(

3.71.5 3.880

I.. 162

i(.391

1..581. l(.750 1..897 5.028

5.25i(

5. 1)1(6 5.611

5.757

5.888

6.111( 6.305

6.1(71 6.617

6.71.7

7.021.

7.250

0.3928

0.1(229

0.1.831

0.501.6 0.5251

0.51.61 0.5661

0.581.5 0.6017

6177

6327

61(68 6599

6718

6927

7097

7222 7320

71(03

0.71(66

0. 751i( 0.7550 0.7577 0.7599

7637

7662

7680 7695

7715 7725

7727

0.7721. 0.7709

0.7690

0.7670 0.7652

0.7635

0.7602

0.7578

0.7560

0.751.7 0.7536

0.7528

0.7516

0.7507

0.7501

0.71.97

0.71(93 0.71(88

0.7t)8l( 0.71(81 0.71.79

0.71)77

0.71)71)

0.71)72

CP VELOCITY

OF SOUNO

-R FT/SEC

0.5102 2091.0

0.5160 2059.0 0.5696 2031.0

0.5911) 2021.0

0.6161) 2009.0

0.61)50 1997.0

0.671)8 1986.0 0.7051 1976.0 0.7355 1967.0

0.7659 1959.0 0.7963 1950.0 0.8263 191.2.0 0.8533 1932.0

0.8791) 1922.0 0.9287 1902.0 0.9735 1883.0 1.013 1861). 1.052 181)8.0 1.089 1831). 1.122 1620.0 1.152 1808.0 1.179 1798.0

1.203 1789.0

1.221) 1781.0

1.268 1768.0

1.298 1761). 1.318 1766.0

1.331 1771). 1.31)2 1800.0

1.31)1 1836.0

1.336 1876.0

1.329 1920.0 1.313 2010.0 1.299 2101.0

1.288 2190.0

1.279 2277.0 1.272 2361.0

1.260 2562.0 1.253 271)9.0

1.21.8 2926.0

1.21)6 3092.0

1.21)1) 3251.0

1.21)3 31)03.0

1.21)1 3668.0

1.21(1 3951). 1.21(0 1(203.0

1.21)0 i(i>38.0 1.21.0 i>662.0

1.21.0 5081.0

1.240 51)68.0

1.21)0 5830.0

1.2i>0 6171.0

1.21)0 61)95.0

1.21)0 721)1.0

1.21(0 7918.0

TWO-PHASE BOUNDARY
1800 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM it

TEMPERATURE [DENSITY

DEG. R LB/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(DV/OT)/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

THERMAL DIELECTRIC

OIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

7.0 13.52 1.5.7 8.0 13.39 56.1> 9.0 13.27 68.7

10.0 13.16 71). 9 11.0 13.06 79.3

12.0 12.96 82.6

13.0 12.85 81).

9

14.0 12.75 86.5

15.0 12.65 87.6

16.0 12.54 88.5

17.0 12.1.3 89.2

ie.o 12.32 89.9

19.0 12.20 90.8

20.0 12.08 91.7

22.0 11.85 93.2

2".. 11.61 9<>. 4 26.0 11.37 95.3

26.0 11.13 95.9

30.0 10.88 96.6

32.0 10.6<t 97.3

3<t.O 10.39 98.0

36.0 10.15 96.8

36.0 9.909 100.0

uo.o 9.672 101.0

1.5.0 9.101 104. 50.0 8.565 108.0

55.0 8.070 112.0

60.0 7.617 117.0

70.0 6.830 128.0

80.0 6.179 140.0

90.0 5.638 152.0

100.0 5.18<> 165.0

120.0 "..1)66 190.0

11.0.0 3.926 216.0

160.0 3.505 241.0

180.0 3.168 267.0

200.0 2.891 292.0

250.0 2.376 355.0 300.0 2.019 417.0 350.0 1.755 479.0

1(0 0.0 1.553 541.0

.50.0 1.393 603.0 500.0 1.263 665.0 600.0 1.064 788.0

700.0 0.9191 912.0

SO 0.0 0.8090 1040.0 900.0 0.7225 1160.0 1000.0 0.6527 1280.0

1200.0 0.51)69 1530.0

11)00.0 0.1.706 1780.0 1600.0 0. "tl30 2020.0

1800.0 0.3679 2270.0

2000.0 0.3317 2520.0

2500.0 0.2662 3140.0

3000.0 0.2223 3760.0

20.7 9830..0 16.2 10000.,0 13.0 10000.,0 11.8 9900,,0 11.0 9690,,0 10.4 9450.. 10.0 9190,,0 9.75 8910,,0 9.54 8640,.0 9.36 8370,,0 9.20 8110,,0 9.06 7850,,0 8.87 7600,,0 8.70 7360,.0 8.39 6900.,0 8.11 6480,.0 7.87 60B0.. 7.68 5710,,0 7.51 5370,,0 7.35 5070,,0 7.20 4790,,0 7.06 4540,,0 6.92 4310,,0 6.79 4110.,0 6.49 3700,,0 6.23 3390.,0 5.99 3160.,0 5.79 2990.,0 5.45 2750,.0 5.19 2590,,0 4.99 2480,.0 4.83 2400,,0 4.58 2290,,0 4.42 2210.,0 4.29 2160..0 4.20 2120.,0 4.12 2090.,0 3.99 2030.,0 3.91 1990. 3.86 1960,,0 3.82 1940..0 3.78 1930.,0 3.76 1910. 3.72 1890.,0

3.70 1880.,0 3.68 1870..0 3.67 1860,,0 3.66 1850,,0 3.64 1840,,0 3.63 1830.,0 3.62 1830,,0 3.62 1820,,0 3.61 1820,,0 3.61 1820,,0

,0112 00915 00829

,0078° 00777

00781

,00795

,00815

,00840 00866 00892 00919

00931

00959

0100 0.0103 0.0106

0.0110 0.0113

0.0115

0.0117 0.0119

0.0121 0.0121

0.0122

0.0120 0.0117

0.0113

0.0105 0.00957

0.00877 0.00806

0.00690 0.0060?

00534

00480 00436

00355

00300 00261

00230 00206

00187

00157 00136

00120

00107 000967

000810

000698

000612 000546

000492 000395

0240 0257

0276

0294

0311 0326 0.0340 0.0352

0.0362

0.0371 0.0378

0.0384

0. 0389 0.0393

0.0399 0.0402

0.0404

0.04C4

0.0404

0.0402

0.0401 0.0398

0.0396

0.0394

0389

0385

0383

0382

0383

0388

0396 0406

0428

0453 0479

0506

0532 0598

0661 0722

0780 0836

0889 0994

0.110 0.120

0.130

.139 .158

.175

,193 .209

.225 .264

23.5

19.0 15.9

13.8 12.2

11.0

10.1 9.33

8.71

8.20 7.77

7.40 7.08

6.81

6.38

6.06 5.82

5.63

5.48

5.36

5.27

5.20

5.15 5.11

5.06

7.11

7.51 7.78

8.75 9.67

0.300

16.2

17.7

19.2 20.7

23.4

26.1

28.6 31.1

33.5

39.2

44.6

0,,00347 1.,01991

0.,00372 1..02003

0,,00365 1,,02013

0,,00378 1,,02021

0,,00386 1,,02028

0,.00390 1.,02036

0,,00392 1,,02042

0,,00391 1,,02049

0,,00389 1,,02055

0,,00386 1,,02061

0,,00382 1,,02067

0,,00378 1.,02072

0. 00374 1.,02077

0,,00370 1,,02082

0,,00363 1.,02090

0,.00356 1..02096

0,,00351 1,,02100

0,,00346 1,,02102

0.,00341 1,,02101

0..00337 1..02099

0,,00335 1,,02095

0,,00333 1,,02089

0,,00332 1,,02080

0.,00333 1.,02070

0,,00337 1,,02038

0,,00346 1,,01997

0,,00360 1,,01950

0,,00376 1,,01900

0,,00418 1,,01796

0,,00469 1,,01694

0..00526 1..01597

0,,00589 1,,01509

0,,00730 1,,01354

0.,00889 1,,01226

0,,0106 1,,01120

0,,0125 1.,01030

0, 0145 1,,00953

0,,0200 1.,00804

0.,0262 1,,00695

0,.0330 1.,00612

0..0403 1,,00547

0. 0483 1. 00494

0.,0567 1.,00451

0. 0753 1,,00383

0.,0<163 1.,00333

0. 119 1. 00295

0.,145 1, 00264

0, 172 1.,00240

0. 233 1. 00202

0.,301 1,,00174

0.,376 1.,00153

0. 458 1,,00137

0. 547 1. 00123

0,,798 1,,00099

1. 09 1..00083

.80

.37

.18

.00 .873 .785 0.721 0.673

0.637

610 589 573

559

549 535

528

525

527

531 0.538 0.545

0.554

0.562

0-571

0.594 0.614

0.632 0.647

0.668

0.681

0.688 0.692

0.694

0.691

688 634

669 664

660

657 656

655 656

658 0.660

0.661 0.662

0.662 0.663

0.664

0.664

0.664

0.664 0.664

0.665

TWO-PHASE BOUNDARY

109
THERMODYNAMIC PROPERTIES OF HELIUM 4 2000 PSIft ISOBAR

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

ISOCHOPE DERIVATIVE

INTFRNAL ENERGYENTHALPY ENTROPY CV CP VELOCITY

OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU 1 LB -R FT/SEC

6.0 0.07329 799.0 102. 4.806 31.95 0.3505 0.4444 0.5486 2138.0

9.0 0.07394 809.0 89.4 5.152 32.54 0.4163 0.4954 0.5853 2105.0

10.0 0.07454 809.0 82.2 5.550 33.15 0.4787 0.5118 0.5978 2092.0

11.0 0.07509 801.0 78.2 5.945 33.75 0.5365 0.5268 0.6165 2080.0

12.0 0.07564 789.0 76. 1 6.360 34.37 0.5912 0.5473 0.6405 2066.0

13.0 0.07620 775.0 75.0 6.796 35.02 0.5435 0.5652 0.6667 2058.0

14.0 0.07677 760.0 74. 6 7.251 35.68 0.6940 0.5822 0.6940 2049.0

15.0 0.07736 745.0 74.5 7.725 36.37 0.7429 0.5983 0.7220 2040.0

16.0 0.07797 729.0 74.5 8.218 37.09 0.7905 0.6136 0.7506 2033.0

17.0 0.07860 714.0 74.5 6.730 37.84 0.8370 0.6282 0.7795 2026.0

18.0 0.07926 699.0 74.5 9.261 38.61 0.8825 0.6422 0.8084 2019.0

19.0 0.07996 685.0 73.9 9.910 39.52 0.9324 0.6551 0.8344 2010.0

2C.0 0.08067 671.0 73.2 10.58 40.46 0.9813 0.6672 0.8598 2001.0

22.0 0.08215 644.0 71.7 11.98 42.41 1.076 0.6889 0.9081 1983.0

24.0 0.08369 619.0 69. 8 13.46 44.45 1.167 0.7067 0.9518 1965.0

26.0 0.08530 596.0 67.8 15.00 46.59 1.253 0.7201 0.9904 1948.0

28.0 0.08696 573.0 65.9 16.49 48.70 1.332 0.7304 1.027 1933.0

30.0 0.08876 553.0 64.0 17.92 50.79 1.404 0.7395 1.063 1919.0

32.0 0.09063 534.0 62.0 19.39 52.95 1.474 0.7463 1.096 1907.0

34.0 0.09257 516.0 59.9 20.89 55.18 1.541 0.7515 1.125 1895.0

36.0 0.09459 502.0 57.8 22.42 57.45 1.607 0.7554 1.152 1864.0

36.0 0.09669 489.0 55.7 23.97 59.78 1.669 0.7584 1.176 1675.0

40.0 0.09865 477.0 53.7 25.55 62.16 1.730 0.7608 1.198 1866.0

45.0 0.1045 455.0 48.9 29.55 68.27 1.874 0.7648 1.244 1851.0

50.0 0.1106 441.0 44.6 33.62 74.57 2.007 0.7674 1.277 1843.0

55.0 0.1169 433.0 41. 7 37.74 81.02 2.130 0.7694 1.302 1842.0

60.0 0.1234 430.0 37.3 41.88 87.58 2.244 0.7709 1.316 1846.0

70.0 0.1368 436.0 31.7 50.17 100.9 2.449 0.7730 1.334 1867.0

60.0 0.1506 450.0 27.5 58.44 114.' 2.627 0.7742 1.338 1897.0

90.0 0.1645 468.0 24.1 66.66 127.6 2.785 0.7747 1.335 1934.0

100.0 0.1784 490.0 21.5 74.82 140.9 2.925 0.7745 1.329 1974.0

120.0 0.2063 538.0 17.6 90.95 167.4 3.166 0.7732 1.315 2058.0

140.0 0.2340 588.0 14. 8 106.9 193.5 3.368 0.7713 1.302 2144.0

160.0 0.2615 640.0 12.8 122.6 219.4 3.541 0.7693 1.290 2230.0

180.0 0.2889 692.0 11.3 138.2 245.1 3.692 0.7673 1.281 2314.0

200.0 0.3161 745.0 10.1 153.6 270.7 3.827 0.7656 1.274 2396.0

250.0 0.3836 877.0 6. 02 192. 334.0 4.110 0.7619 1.261 2593.0

300.0 0.4507 1010.0 6.65 230.0 396.9 4.339 0.7593 1.254 2777.0

350.0 0.5175 1140.0 5.68 267.8 45 9.4 4.532 0.7573 1.249 2951.0

400. 0.5842 1270.0 4.96 305.5 521.8 4.698 0.7558 1.246 3115.0

450.0 0.6508 1400.0 4. 41 343.0 584.1 4.845 0.7547 1.244 3272.0

50C.0 0.7174 1530.0 3.97 380.5 646.? 4.976 0.7537 1.243 3423.0

60C.0 0.85 5 1600.0 3.31 455.4 770.4 5.202 0.7524 1.241 3706.0

700.0 0.9836 2060.0 2.83 530.2 894.5 5.394 0.7514 1.241 3969.0

800.0 1.117 2320.0 2.48 605.0 1019.0 5.559 0.7508 1.240 4217.0

900. 1.250 2590.0 2.21 679.6 1143.0 5.705 0.7502 1.240 4451.0

1000.0 1.383 2850.0 1.99 754.3 1267.0 5.836 0.7498 1.240 4674.0

1200.0 1.650 3360.0 1.66 903.6 1515-0 6.062 0.7492 1.240 5091.0

1400.0 1.916 3910.0 1.42 1053.0 1762.0 6.253 0.7488 1.240 5477.0

1600.0 2.163 4440.0 1.24 1202.0 2010.0 6.419 0.7485 1.240 5838.0

1600.0 2.450 4970.0 1. 11 1351.0 2258.0 6.565 0.7482 1.240 6179.0

2000.0 2.717 5500.0 1. 00 1500.0 2506. 6.695 0.7481 1.240 6501.0

2500.0 3.384 6830.0 0.797 1873.0 3126.0 6.972 0.7477 1.240 7246.0

3000.0 4.052 8160.0 0.664 2246.0 3747.0 7.198 0.7475 1.240 7922.0

TWO-PHASE BOUNDARY
2000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM i,

TEMPERATURE OENSITY

DEG. R LB/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(DV/DT>/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. P 8TU/FT-HR-R LB/FT-SEC

X 10E-.6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SO FT/HR

PRANDTL

NUMBER

e.o 13.61. 58.5 16.9 10900.0 0.00938 0.0268 22.3 0.00358 1.01980 1.64

9.0 13.52 71.7 13.3 10900.0 0.00816 0.0287 18.4 0.00362 1.01991 1.35

10.0 13.1.2 78.9 12.0 10900.0 0.00758 0.0306 15.8 0.00381 1.02001 1.11

11.0 13.32 81*. 1 11.1 10700.0 0.00733 0.0324 13.9 0.00394 1.02009 0.951

12. 13.22 87.8 10.5 10400.0 0.0C729 0.0340 12.4 0.00401 1.02016 0.843

13.0 13.12 90.1. 10.1 10200.0 0.00737 0.0354 11.3 0.00405 1.02024 0.765

11.. 13.03 92.2 9.83 9900.0 0.00753 0.0367 10.4 0.00406 1.02031 0.707

15.0 12.93 93.1. 9.63 9630.0 0.00773 0.0378 9.65 0.00405 1.02038 0.664

16.0 12.83 94. 3 9.46 9350.0 0.00796 0.0387 9.04 0.00402 1.02044 0.631

17.0 12.72 95.0 9.32 9080.0 0.00820 0.0395 8.53 0.00398 1.02051 0.606

18.0 12.62 95.7 9.19 8820.0 0.00844 0.0402 8.10 0.00394 1.02057 0.587

19.0 12.51 96.7 9.02 8560.0 0.00863 0.0407 7.73 0.00390 1.02063 0.570

20.0 12.1.0 97.6 8.85 8310.0 0.00881 0.0411 7.41 0.00386 1.02068 0.558

22.0 12.17 99.4 8.55 7840.0 0.00914 0. 0418 6.90 0.00378 1.02078 0.540

24.0 11.95 101.0 8.27 7400.0 0.00944 0.0422 6.52 0.00371 1.02086 0.530 26.0 11.72 102.0 8.03 6980.0 0.00971 0.0424 6.23 0.00365 1.02093 0.524

28.0 11.50 103.0 7.84 6590.0 0.0100 0.0424 6.00 0.00359 1.02098 0.523

30.0 11.27 104.0 7.68 6230.0 0.0103 0.0424 5.82 0.00354 1.02101 0.526

32.0 11.03 104.0 7.52 5900.0 0.0105 0.0423 5.68 0.00350 1.02102 0.530

3<i.O 10.80 105.0 7.38 5590.0 0.0107 0.0421 5.57 0.00346 1.02101 0.536

36.0 10.57 106.0 7.24 5310.0 0.0109 0.0419 5.49 0.00344 1.02098 0.543

38.0 10.31. 107.0 7.11 5060.0 0.0110 0.0417 5.42 0.00342 1.02094 0.551

1.0.0 10.12 108.0 6.98 4830.0 0.0111 0.0414 5.37 0.00342 1.02088 0.559

1.5.0 9.565 111.0 6.68 1.350.0 0.0112 0.0409 5.29 0.00344 1.02065 0.580

so.

a

9.01.3 114.0 6.42 3990.0 0.0112 0.0404 5.27 0.00350 1.02034 0.600

55.0 8.555 118.0 6.18 3700.0 0.0110 0.0401 5.29 0.00360 1.01996 0.618

60.0 8.101. 123.0 5.97 349C.0 0.0107 0.0399 5.33 0.00374 1.01954 0.633

70.0 7.308 134.0 5.62 3180.0 0.0100 0.0399 5.46 0.00410 1.01862 0.657

80.0 6.61.0 145.0 5.34 2990.0 0.00920 0.0403 5.63 0.00454 1.01768 0.672

90-0 6.079 158.0 5.12 2850.0 0.00847 0.0410 5.81 0.00505 1.01676 0.681

100.0 5.601. 170.0 1..95 275C.0 0.00782 0.0418 6.00 0.00562 1.01591 0.686

120.0 4.847 195.0 4.68 2610.0 0.00674 0.01.40 6.40 0.00689 1.01438 0.690

11.0.0 4.273 221.0 4.50 2510.0 0.00590 0.0463 6.81 0.00833 1.01310 0.688

160.0 3.821. 246.0 4.36 2450.0 0.00524 0.0489 7.21 0.00990 1.01201 0.685

18C.0 3.1.62 272.0 4.26 2400.0 0.00472 0.0515 7.61 0.0116 1.01108 0.682 200.0 3.161. 297.0 4.18 2360.0 0.00429 0.0541 7.87 0.0134 1.01029 0.668

250.0 2.607 360.0 4.04 2290.0 0.00351 0.0605 8.83 0.0184 1.00872 0.662

300.0 2.219 422.0 3.94 2240.0 0.00297 0.0668 9.74 0.0240 1.00757 0.658

350.0 1.932 4 84.0 3.88 2200.0 0.00258 0.0728 10.6 0.0302 1.00668 0.656

1.00.0 1.712 546.0 3.84 2180.0 0.00228 0.0786 11.5 0.0368 1.00598 0.654

1.50.0 1.537 608.0 3.80 2150.0 0.00205 0.0841 12.3 0.0440 1.00541 0.654

500.0 1.394 670.0 3.78 2140.0 0.00186 0.0893 13.1 0.0516 1.00494 0.655

600.0 1.176 793.0 3.74 2110.0 0.00156 0.100 14.7 0.0683 1.00421 0.657

70 0.0 1.017 917.0 3.71 20O0.0 0.00135 0.110 16.2 0.0873 1. 00367 0.659

800.0 0.8951. 1040.0 3.69 2080.0 0.00119 0.120 17.8 0.108 1.00325 0.660

900.0 0.8000 1160.0 3.68 2070.0 0.00107 0.130 19.2 0.131 1.00292 0.661

1000.0 0.7230 1290.0 3.66 2060.0 0.000963 0.139 20.7 0.156 1.00264 0.662

1200.0 0.6062 1530.0 3.65 2050.0 0.000808 0.158 23.4 0.210 1.00223 0.663

11.00.0 0.521S 1780.0 3.64 2040.0 0.000696 0.176 26.1 0.271 1.00193 0.663

1600.0 0.1.581 2030.0 3.63 2030.0 0.000611 0.193 28.6 0.339 1.00170 0.664

180G.0 0.1.082 2280.0 3.62 2030.0 0.000545 0.209 31.1 0.413 1.00151 0.664

2000.0 0.3681 2520.0 3.61 2030.0 0.000491 0.225 33.5 0.493 1.00137 0.664

2500.0 0.2955 3140.0 3.61 2020.0 0.000395 0.264 39.2 0.719 1.00110 0.664

3000.0 0.21.66 3760.0 3.60 2010.0 0.000330 0.300 44.6 0.980 1.00092 0.664

TWO-PHASE BOUNDARY
2500 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM (,

FMPERATUPE VOLUME ISOTHERM ISOCHOPE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

OEG. R CU FT/L9 CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB

9.0 0.0709<) 935.0 109.0 5.907 38.75

10.0 0.071l»9 91.2.0 91). 6.316 39.1.1 11.0 0.07198 939.0 86.2 6.711. 1.0.01. 12.0 0.0721)5 930.0 81.9 7.122 1.0.66 13.0 0.07291 918.0 79.7 7.51.1. 1.1.30 1*.0 0.07338 901.. 78.8 7.979 1.1.95 15.0 0.07385 889.0 78.6 8.1.28 1.2.62 16.0 0.071)31) 871.. 78. 8 6.891 1.3.31 17.0 0.07i>85 860.0 79.1 9.370 1.1.. 02

18.0 0.07538 81.5.0 79.1. 9.865 i.i>. 76 19.0 0.07593 830. 79.2 10.1.8 1.5.61. 20.0 0.07651 816.0 78.9 11.12 1.6.51. 22.0 0.07768 790.0 77.9 12.1.6 1.8.1.3

21). 0.07891 765.0 76.1. 13.88 50.1.1 26.0 0.08017 71.1.0 71..

7

15.36 52.1.7 26.0 0.0811)8 718.0 73. 16.79 51.. 51 30.0 0.08286 697.0 71.1. 16.15 56.51

32.0 0.081)29 676.0 69.7 19.55 58.57

34.0 0.08579 657.0 67.8 20.98 60.69

36.0 0.08733 61.0.0 65.9 22.1.1) 62.87

36.0 0.08893 621.. 61.. 23.92 65.09

<t0.0 0.09057 609.0 62.0 25.1)3 67.36

1)5.0 0.091)89 579.0 57.3 29.28 73.21

50.0 0.0991)8 556.0 52.9 33.22 79.28

55.0 0.101)3 51.0.0 1.8.8 37.23 85.51

60.0 0.1093 531.0 1.5.2 l>1.28 91. 86 70.0 0.1197 525.0 38.9 1)9.1)6 101..

9

60.0 0.1305 531.0 33.9 57.67 118.1

90.0 0.11.15 51.1.. 29.9 65.88 131.1. 100.0 0.1525 561.0 26.7 71,. 05 11)1).

6

120.0 0.171)7 601.. o 21.9 90.25 171.1

11)0.0 0.1968 651.0 18.5 106.3 197.1)

160.0 0.2188 700.0 16.0 122.1 223.1) 180.0 0.21)07 751.0 11.. 1 137.8 21)9.2 200.0 0.262i> 802.0 12.6 153.1) 271).

9

250.0 0.3161) 932.0 10.0 191.9 338.1) 300.0 0.3701 1060.0 8.29 230.1 1)01. 1) 350.0 0.1)235 1190.0 7.09 268.1 1)61..

1

1)00.0 0.1)768 1320.0 6.19 305.8 526.5

U50.0 0.5300 11.50.0 5.50 31)3.5 588.8

500.0 0.5831 1580.0 it. 95 381.1 651.0

600.0 0.6891. 181)0.0 1..12 1.56.1 775.2 700.0 0.7957 2110.0 3.51. 530.9 899.3

800.0 0.9021 2370.0 3.09 605.7 1023.0 900.0 1.008 2630.0 2.75 680.5 111.7.0 1000.0 1.115 2890.0 2.1.8 755.2 1271.0

1200.0 1.328 31.20.0 2.07 901..

5

1519.0

1U00.0 1.51.1 3950.0 1.77 1051,. 1767.0

1600.0 1.751. 1.1.80.0 1.55 1203.0 2015.0

1800.0 1.967 5010.0 1.38 1352.0 2263.0

2000.0 2.180 551.0.0 1.21. 1501.0 2511.0

2500.0 2.711. 6870-0 0.995 1871.. 3131.0 3000.0 3.21.8 8190.0 0.829 221.7.0 3751.0

ENTROPY 8TU/LB-R

0.3617

0.1.292

1.891

51.U1. 5962

61.55 6929

7386

7831

8266

871.9 9222

Oil. 102 186

262

331 397

1.61

1.521.

1.581.

1.61.2

780 907

26 137

337 51*

2.670

2.810 3.051

3.251.

3.1.28 3.580 3.715 3.998

fc.228 *.*21

1..588

1..735

1>.866 5.092

5.281.

5.1.1.9 5.595 5.726

5.952

6.11.3 6.308

6.1.51. 6.585

6.862

7.088

0.51.52

0.51.20 0.51.63 0.5556

0.5669

0.5789

0.5913

0.601.1 0.6172

6305

61.29 6552

6786

6968

7139

7258 736U

71.1.5 7507 0.7555

0.7591

0.7620 0.7669

0.7700 0.7723

0.771.1 7767

7781. 7792

7795 7786

7768

0.771.7 0.7726 0.7705

0.7663 0.7671

0.7606

0.7588 0.7573

0.7561

0. 751.1.

7532

7523 7517

7511

7501.

71.98

71.91. 71.91 71.89

CP VELOCITY

OF SOUND

-R FT/SEC

0.6500 2272.0 0.6309 2251.. 0.6298 2239.0 0.6398 2227.0 0.6555 2217.0

0.671.8 2209.0 0.6966 2203.0 0.7203 2198.0

0.71.56 2193.0 0.7720 2189.0 0.7961 2182.0

0.8201) 2176.0 0.8673 2162.0 0.9099 211)8.

C

0.91.66 2131.. 0.9813 2121.0 1.016 2110.0 1.0*7 2099.0 1.075 2088.0

1.100 2078.0

1.121. 2068.0

1.11.6 2060.0 1.193 201.2.0 1.231 2029.0

1.261 2022.0

1.281. 2020.0 1.313 2027.0 1.326 201.6.0 1.329 2073.0

1.326 2105.0

1.316 2176.0 1.307 2252.0 1.296 2330.0

1.287 21.07.0 1.279 21.81.. 1.265 2669.0 1.256 281.5.0 1.251 3012.0

1.21.7 3172.0

1.21.5 3325.0

1.21.3 3*71.0

1.21.1 371,9.0

1.21.0 1.008.0

1.21.0 1.252.0

1.21.0 1.1.83.0 1.21.0 1,701.. 1.239 5117.0

1.21)0 5500.0

1.21.0 5858.0

1.21.0 6196.0

1.21.0 6517.0

1.21)0 7259.0

1.21.0 7932.0

TWO-PHASE BOUNOARY
2500 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM It

EMPERATURE DENSITY VtOH/DV)

1 OEG. R LB/CU FT BTU/LB

9.0 14.10 79.2

10.0 13.99 88.4 11.0 13.89 95.3

12.0 13.80 100.0

13.0 13.72 103.0 14.0 13.63 105.0

15.0 13.54 107.0

16.0 13.45 108.0

17.0 13.36 108.0

ie.o 13.27 109.0

19.0 13.17 110.0

20.0 13.07 111.0

22.0 12.87 113.0

21.. 12.67 115.0

26.0 12.47 117.0

26.0 12.27 118.0

30.0 12.07 120.0

32.0 11.86 121.0

31.. 11.66 121.0

36.0 11.45 122.0

38.0 11.25 123.0 40.0 11.04 124.0

1(5.0 10.54 127.0

50.0 10.05 130.0

55.0 9.588 134.0 60.0 9.149 138.0 70.0 6.353 148.0 80.0 7.664 159.0 90.0 7.070 171.0

100.0 6.557 183.0

120.0 5.725 208.0

140.0 5.081 233.0

160.0 4.571 259.0

180.0 4.155 284.0

200.0 3.811 309.0 250.0 3.160 372.0 300.0 2.702 434.0

350.0 2.361 496.0

1(00.0 2.098 558.0 >50.0 1.887 620.0 500.0 1.715 662.0 600.0 1.450 805.0 700.0 1.257 928.0

800.0 1.109 1050.0

900.0 0.9916 1180.0

1000.0 0.8970 1300.0 1200.0 0.7532 1550.0 1400.0 0.6490 1790.0

1600.0 0.5702 2040.0 1800.0 0.5084 2290.0

2000.0 0.4586 2530.0

2500.0 0.3685 3150.0

V<DP/DU> -V(DP/DV>„

p v T BTU/LB PSIA-CU FT/BTU PSIA

<DV/OT)/V THERMAL VISCOSITY

P CONDUCTIVITY

1/DEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

14.1 13200 .0 12.4 13200,,0 11.4 13000 .0 10.7 12800,.0 10.3 12600 .0 10.0 12300..0 9.82 12000.• 9.69 11800,.0 9.59 11500,,0 9-50 11200..0 9.35 10900..0 9.21 10700,,0 6.91 10200,,0 8.63 9700,.0 8.38 9250,.0 8.20 8820,,0 8.04 8410,,0 7.89 8020,.0 7.75 7660,.0 7.62 7330,,0 7.49 7010.,0 7.37 6730..0 7.09 6100.,0 6.83 5590..0 6.60 5180..0 6.38 4860,.0 6.00 4380,,0 5.69 4070,, 5.44 3640,.0 5.23 3680,,0 4.92 3460,,0 4.70 3310..0 4.53 3200,,0 4.41 3120,,0 4.31 3060,,0 4.13 2940,.0 4.02 2870,,0 3.95 2810,.0 3.89 2770. 3.85 2740,,0 3.82 2710,,0 3.77 2670,,0 3.73 2650.,0 3.71 2630,.0 3.69 2610.,0 3.68 2600,,0 3.66 2580,,0 3.64 2560,.0 3.63 2550,.0 3.62 2550.,0 3.62 2540,.0 3.61 2530.,0 3.60 2520,.0

0..00620 0,,0314 26.2

.00714 0..0335 21.8

0..00661 0,,0354 18.7

,00638 0,,0372 16.5

0,.00633 0,, 0389 14.7

0..00640 0, 0403 13.4

0,.00653 0,,0415 12.3

0,.00670 0.,0426 11.4

0,,00689 0,,0435 10.6

0,,00709 0,,0443 10.0

0,,00724 0,,0449 9.46

0,,00739 0,,0454 9.00

.00766 0,,0462 8.27

0,,00788 0.,0467 7.72

0,,00807 0.,0469 7.30

0,,00826 0.,0471 6.97

0..00849 0. 0471 6.71

0,,00866 0,,0470 6.50

0,,00885 0,,0468 6.34

0,,00899 0,,0466 6.20

0,,00912 0.,0464 6.09

0,,00922 0,,0461 6.01

0.,00940 0,,0455 5.86

0,,00947 0..0449 5.79

0,,00943 0,,0445 5.77

0,,00930 0,,0441 5.78

0.,00888 0,,0438 5.86

o.,00834 0..0439 5.99

0,,00779 0,,0443 6.15

.00726 0,,0450 6.32

0,,00634 0.,0467 6.69

0,.00560 0.,0489 7.07

0.,00501 0,,0512 7.45

0,,00453 0.,0536 7.63

0,,00414 0. 0561 6.08

0,,00340 0,,0623 9.01

0,,00289 0.,0664 9.90

0,,00252 a,,0743 10.8

0..00223 0. 0799 11.6

0,,00201 0, 0852 12.4

0,,00182 0.,0904 13.2

0.,00154 0,,101 14.7

0,,00134 0, 111 16.3

a.,00118 a.,121 17.8

0,,00105 0,,131 19.3

0,,000955 0.,140 20.7

0.,000802 0,,158 23.5

0,,000691 0,,176 26.1

0.,000608 0,,193 28.7

0. 000542 0. 210 31.1

0.,000489 0.,226 33.5

0,,000393 0, 264 39.2

a,,000329 0.,300 44.6

THERMAL DIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

SO FT/HR

0.00343 1.01935 1.95 0.00379 1.01947 1.48 0.00405 1.01957 1.20 0.00422 1.01965 1.02 0.00432 1.01974 0.894 0.00436 1.01962 0.806 0.00440 1.01990 0.741 0.00440 1.01998 0.692 0.00437 1.02005 0.656 0.00432 1.02013 0.628 0.00428 1.02020 0.604 0.00424 1.02028 0.585 0.00414 1.02041 0.559 O.O0405 1.02053 0.542 0.00398 1.02064 0.530 0.00391 1.02074 0.523 0.00384 1.02082 0.521 0.00378 1.02089 0.522 0.00374 1.02094 0.524 0.00370 1.02098 0.527 0.00367 1.02101 0.532 0.00365 1.02102 0.537 0.00362 1.02098 0.553 0.00363 1.02086 0.571 0.00368 1.02066 0.589 0.00376 1.02041 0.605 0.00400 1.01978 0.632 0.00432 1.01906 0.651 0.00472 1.01830 0.664 0.00516 1.01755 0.672 0.00619 1.01613 0.679 0.00736 1.01488 0.681 0.00864 1.01378 0.679

0.0100 1.01282 0.676 0.0115 1.01198 0.663 0.0156 1.01028 0.658 0.0201 1.00900 0.655 0.0251 1.00800 0.652 0.0305 1.00719 0.651 0.0363 1.00654 0.651 0.0424 1.00599 0.651 0.0559 1.00513 0.654

0.0711 1.00449 0.656 0.0879 1.00398 0.656 0.106 1.00358 0.659

0.126 1.00326 0.660

0.170 1.00275 0.662 0.219 1.00238 0.662 0.273 1.00210 0.663 0.332 1.00188 0.663

0.397 1.00170 0.664

0.577 1.00137 0.664

0.786 1.00115 0.664

TWO-PHASE BOUNDARY
3000 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM It

TEMPERATURE VOLUME DEC

10,,0 0,,06903

11..0 0,.069*8

12 ,0 ,06990

13,,0 0,,07030

lit,,0 0,,07070

15,.0 0..07110

16,,0 0,,07151

17,,0 0,,0719".

16,,0 0,,07238

19,,0 0,,07265

20,,0 0,,07333

22,,0 0,,07*31

2*.,0 0,,07533

26,,0 0,,07638

28,,0 0,,977*6

30,,0 0,,07859

32,,0 0. 07977

3*.,0 0,,08098

36,,0 0.,0822*

38,,0 0,,08353

<t0.,0 0.,081.86

*5,,0 0.,08833

50.,0 0,,09202

55.,0 0..09588

60.,0 0.,0999

70.,0 0,,1083

80.,0 0,,1171

90. 0. 1261

100,,0 0,,1352

120.,0 0.,1536

11.0,,0 0,,1720

160.,0 0,,1903

180.,0 0,,2085

200,,0 0,,2266

250,,0 0. 2716

300,,0 0.,3163

350,,0 0,,3607

<t00,,0 0,,*051

it50. 0. **93

500.,0 0,,*936

eoo.,0 0,,5820

700,,0 0.,6701. 800, 0,,7589

900,,0 0,,81173 1000,,0 0,,9359

1200,,0 1.,113

11.00,,0 1,,290 1600,,0 1,,1.68 1800,.0 1,,6it5 2000,,0 1, 823

2500,,0 2,,267

ISOTHERM DERIVATIVE

CU FT/LB CU FT-PSIA/LB

1060.0

1070.0 1060.0

1050.0

10U0.0

1020.0

1010.0

1000.0 981.0

966.0

952.0

926.0

902.0

879.0

856.0

831t.O 812.0

792.0

771..

756.0 739.0

703,

671., 652.

636, 619.

616,

623.

636,

672,

716,

763,

811.

861,

988. 1120,

121.0, 1370, 1500. 1630.

1890,

2150,

21.10, 2670,

291.0, 31.60, 3990,

1.520,

501.0, 5570. 6900.

ISOCHORE DERIVATIVE

PSIA/R

108.0 95.3

88.2

81..

5

82.8

82.3 82.5

83.0 83.6 83.7

83.7

83.3

82.1

80.6

79.2

77.8 76.2

7*. 6 72.8 71.0

69.2

61. 6056

52

1.5

1.0 3531.8

26.2

22.2

19.2

17.0 15.2

12.0

9.93

8.1.9

7.1.1

6. 58 5.92

It. 91.

It. 23 3.71

3.30 2.97

INTERNAL ENTHALPY

ENERGY BTU/LB BTU/LB

7.108 1.5.1.6 7.520 1.6.12 7.933 1.6.76 8.350 1.7.1.0 8.773 1.8.05

9.201. 1.8.70

9.61.5 1.9.37 10.10 50.06

10.56 50.77

11.16 51.63

11.77 52.51 13.06 51.. 31. lit- 1.3 56.28

15.87 58.30

17.21. 60.27

18.51. 62.21

19.89 61.. 20 21.26 66.25

22.67 68.35

21.. 10 70.50

25.56 72.70 29.28 78.35

33.10 81.. 22 37.01 90.27

1.0.97 96.1(7

1.9.01 109.2 57.15 122.2

65.31 135.1. 73.1.8 11.8.6 89.71 175.1 105.8 201.1. 121.7 227.1. 137.5 253.1. 153.2 279.1

191.9 31.2.8 230.3 1.06.0 268.3 1.68.7 306.2 531.2

31.3.9 593.6 381.6 655.8

1.56.7 780.0 531.6 90*.

1

606.5 1028.0 681.3 1152.0 756.0 1276.0

905.1. 1521.. 1055.0 1772.0

1201.. 2019.0

1353.0 2267.0

1503.0 2515.0 1876.0 3135.0

221.9.0 3755.0

ENTROPY

BTU/LB-R

3833

1.1.72 501.1

5561. 6052

6516 0.6961 0.7391

0.7809

,8280

,871.0 ,9631

01.9 ,131

,205 ,272

,336

,398

,1.58 1.516

1.573 1.706

1.829

1 .91.5 2.053

2.21.9

2.1.23 2.578 2.717

2.958

3.161

3.335

3.1.88 3.623

3.908

it. 138

it. 331

it.ii98 *.6*5 *.776

5.003 5.19U

5.360 5.506

5.636

5.862 6.053

6.219

6.365

6.1.95 6.772

0.5891. 0.5752

0.5717 0.5737 0.5789

0.5861. 0.5958

0.6067

0.6188

6301.

61.28 6678

6903

7073

7206

7326

71.18

71.90 751.5 0.7588

0.7622 0.7681

0.7719

0.771.6 0.7768

0.7800 0.7822

0.7835

0.781.1 0.7836

0.7820

.7799

.7776

.7751. .7706

.7669

.761.0 .7618 0.7600 0.7586

0.7565

0.7550 0.7539

0.7531 0.7525

0.7515 0.7509

0.7501. 0.7500

0.71.97

0.71.92

CP VELOCITY

OF SOUND

-R FT/SEC

0.6861 2396.0 0.6589 2379.0

0.6511. 2366.0

0.651.5 2356.0

0.661.1. 23*9.0 0.6792 23**. 0.6979 23*1.0

0.7191! 2338.0

0.71.32 2336.0

0.7658 2332.0

0.7891. 2328.0

0.8362 2318.0 0.8789 2307.0

0.911.9 229*.

0.91.81. 228*. 0.9817 2275.0

1.012 2265.0 1.039 2256.0 1.063 22*7.0 1.086 2239.0 1.107 2230.0

1.15* 2212.0 1.193 2197.0 1.226 2187.0 1.253 2180.0

1.290 2178.0 1.311 2188.0 1.321 2206.0

1.32* 2230.0

1.319 2290.0 1.310 2357.0

1.300 2*27.0

1.291 2*98.0 1.283 2569.0 1.268 27**. 1.258 2912.0 1.252 3073.0 1.2*8 3228.0

1.2*5 3376.0 1.2** 3519.0

1.2*1 3791.0

1.2*0 1.0*6.0 1.2*0 1.286.0 1.239 1.515.0 1.239 1.733.0 1.239 51*2.0 1.239 5522.0

1.239 5878.0 1.239 621*. 1.239 6533.0

1.2*0 7271.0

6.998 0.7*88

TWO-PHASE BOUNDARY
3000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM t>

ENPERATURE DENSITY V(OH/OV)

! DEG. R LB/CU FT BTU/LB

10.0 11). 1)9 97.9

11.0 li>. 39 106.0

12.0 11). 31 112.0

13.0 li). 22 116.0

lit. 11). 11) 118.0

15.0 11). 06 119.0

16.0 13.98 120.0

17.0 13.90 120.0

18.0 13.82 120.0

19.0 13.73 121.0

20.0 13.61) 122.0

22.0 13.1)6 125.0

21.. 13.27 128.0

26.0 13.09 131.0

20.0 12.91 132.0

30.0 12.72 131). 32.0 12.51) 135.0

3>). 12.35 136.0

36.0 12.16 137.0 38.0 11.97 138.0

i>0.0 11.78 139.0

>5.0 11.32 li>2.0 50.0 10.87 11)5.0 55.0 10.i>3 11)9.0 60.0 10.01 153.0

70.0 9.230 162.0

80.0 8.538 172.0 90.0 7.928 18i>. 100.0 7.391) 196.0

120.0 6.510 220.0

11)0.0 5.811) 21.6.0 160.0 5.255 271.0

180.0 1..796 296.0

200.0 i).i>12 322.0

250.0 3.682 381). 300.0 3.162 i>i>7.0 350.0 2.772 509.0

1)00.0 2.1)69 571.0

1)50.0 2.226 632.0

500.0 2.026 691). 600.0 1.718 817.0

700.0 l.i)92 91)0.0 800.0 1.318 1060.0 900.0 1.180 1190.0

1000.0 1.069 1310.0

1200.0 0.8981) 1560.0

11)00.0 0.7750 1800.0

1600.0 0.6813 2050.0

1800.0 0.6078 2300.0

2000.0 0.51)86 25i>0.0 2500.0 0.1)1)11 3160.0

3000.0 0.3688 3780.0

VIDP/OU) -VCOP/OVK

PSIA-CU FT/BTU PSIA

<DV/DT)/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E + 6

12.7 151.00 11.5 15300

10.8 15200

10.1) 11)900 10.1 11)700 10.0 11)1)00 9.90 li>100

9.81) 13800 9.78 13600 9.67 13300 9.55 13000 9.27 12500 8.96 12000

8.70 11500

8.51 11000

8.35 10600

8.20 10200 8.06 9790 7.93 91)10 7.81 9050 7.70 8710

7.1)3 7960 7.18 7330

6.91) 6800 6.72 6370 6.33 5710 6.00 5260 5.72 1>9I)0 5.1)9 1>700 5.11) i>380 •>.88 i>160

l)-69 1)010 i).55 3890

i).i>3 3800

i).23 36U0

i).10 3530

i>.01 31)50 3.91. 3390 3.89 331)0 3.85 3300

3.80 3250 3.76 3210 3.73 3180 3.71 3160 3.69 311)0 3.67 3110 3.65 3090

3.61) 3080 3.63 3070 3.62 3060 3.61 301)0

0.00701 0363 29.5 0.00621 0381. 21..

8

0.00581 01)01) 21.1. 0.00565 01)21 18.9

0.00561) 01)37 16.9 0.00571 01)51 15.1. 0.00581) 01)63 11.. 1 0.00600 01)73 13.0 0.00617 01)82 12.2 0.00631 01)69 11.1. 0.006i>5 01)95 10.8 0.00668 0503 9.77 0.00686 0509 9.02 0.00701 0512 8.1)1) 0.00717 051i> 7.99

0.00733 0511) 7.61) 0.0071.9 0513 7.35

0.00762 0511 7.12

0.00771. 0509 6.93

0.00781) 0507 6.78

0.00791. 0501) 6.65 0.00811 01)97 6.1.3 0.00821 01)91 6.30

0.00821. 01.85 6.21) 0.00820 01)81 6.21 0.00797 01)75 6.21) 0.00761 01)73 6.31) 0.00719 01)75 6.U7

0.00677 0480 6.62 0.00599 01)91) 6.96

0.00533 0513 7.32

0.001)80 0535 7.68

0.001)36 0558 8.05 0.00399 0581 8.29

0.00330 061)1 9.19 0.00282 0700 10.1

0.0021)6 0757 10.9 0.00219 0812 11.7 0.00197 086i> 12.5 0.00179 0911) 13.2 0.00152 101 11).

8

0.00132 0. 112 16.3 0.00117 121 17.9

0.00101) 131 19.3

0.00091)6 0. 11)1 20.8 0.000796 159 23.5 0.000687 0. 176 26.2

0.000601) 0. 193 28.7 0.000539 210 31.2

0.0001)87 0. 226 33.5 0.000392 0. 261) 39.3 0.000328 0. 300 1)1..

7

THERMAL DIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.00365 1.01891 2.01

0.001)05 1.01902 1-53

0.00i>33 1.01912 1.25

0.001.53 1.01921 1.06

0.001)65 1.01930 0.926

0.00i>72 1.01939 0.833

0.001)75 1.0191.7 0.765

0.001)73 1.01956 0.711. 0.001)69 1.01961) 0.676

0.001)65 1.01973 0.61.1) 0.001)59 1.01981 0.620

0.001)1)7 1.01997 0.585

0.001)36 1.02012 0.561

0.001)27 1.02026 0.51.3 0.001.19 1.02039 0.531

0.001)11 1.02050 0.525

0.001)01) 1.02061 0-522 0.00399 1.02070 0.521

0.0039<) 1.02079 0.521 0.00390 1.02086 0.523 0.00386 1.02091 0.526 0.00381 1.02100 0.537 0.00379 1.02101 0.552 0.00380 1.02096 0.567 0.00383 1.02081) 0.583 0.00399 1.0201)6 0.610

0.001)23 1.01995 0.632

0.001)51) 1.01935 0.61)7 0.00490 1.01873 0.658 0.00576 1.0171.7 0.669

0.00671. 1.01630 0.672 0.00783 1.01523 0.672 0.00901 1.011.27 0.671 0.0103 1.0131.2 0.658

0.0137 1.01165 0.651. 0.0176 1.01028 0.651 0.0218 1.00920 0.61)9 0.0263 1.00831 0.61)7 0.0312 1.00759 0.61.7 0.0363 1.00697 0.61)8 0.01.76 1.00600 0.651 0.0603 1.00527 0.651)

0.071)1) 1.001)69 0.656

0.0 897 1.001)23 0.658

0.106 1.00385 0.659

0.1*3 1.00326 0.660

0.181. 1.00283 0.661 0.229 1.00250 0.662 0.278 1.00221) 0.663 0.332 1.00202 0.663

0.1)83 1.00163 0.661. 0.657 1.00137 0.661)

THO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM <« 3500 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

ISOCHORE DERIVATIVE

INTERNAL ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUND, DEC R CU FT/LB CU FT-PSIA/LB PSIA/R RTU/LB BTU/LB BTU/LB-R 9TU , ' LB -R FT/SEC

11.0 0.0671.0 1190.0 106.0 8.31.1. 52.03 0.li085 0.6148 0.7016 2504.0

12.0 0.06779 1180.0 95.0 8.770 52.70 0.1.682 0.5951 0.6729 2490.0

13.0 0.06815 1180.0 69.1. 9.190 53.36 0.5215 0.5854 0.6614 2480.0

14.0 0.06850 1160.0 86.6 9.608 54.00 0.5705 0.5822 0.6606 2474.0

15.0 0.06885 1150.0 85.7 10.03 54.65 0.6163 0.5837 0.6677 2470.0

16.0 0.06921 111.0.0 85.8 10.1.5 55.30 0.6599 0.5888 0.6806 2468.0

17.0 0.06957 1120.0 86.1. 10.88 55.97 0.7017 0.5969 0.6981 2468.0

ie.o 0.06995 1110.0 87.3 11.32 56.66 0.7it22 0.6071 0.7191 2467.0

19.0 0.07036 1090.0 87.8 11.90 57.50 0.7881 0.6179 0.7404 2465.0

20.0 0.07077 1080.0 88.1 12.1.9 58.35 0.8330 0.6302 0.7635 2463.0

22.0 0.07162 1060.0 88. 2 13.73 60.15 0.9202 0.6569 0.8109 2457.0

24.0 0.07250 1030.0 87.1. 15.06 62.05 1.001. 0.6816 0.8545 2448.0

26.0 0.0731.1 1010.0 86.0 16.1.6 6lt.03 1.085 0.7005 0.8906 2437.0

28.0 0.071.33 986.0 81..

7

17.79 65.97 1.158 0.7151 0.9234 2429.0

30.0 0.07530 961.. 83.5 19.05 67.85 1.223 0.7284 0.9561 2421.0

32.0 0.07630 91.3.0 82.1 20.31. 69.79 1.285 0.73B7 0.9853 2414.0

31*. 0.07733 923.0 80.6 21.67 71.79 1 .346 0.7467 1.012 2406.0

36.0 0.07838 903.0 78.9 23.03 73.8lt 1.401. 0.7529 1.035 2398.0

36.0 0.0791.7 881.. 77.2 21.. 1.2 75.93 1.461 0.7579 1.057 2391.0

1.0.0 0.08059 867.0 75.5 25.83 78. 06 1.516 0.7618 1.078 2383.0

1.5.0 0.08350 827.0 71.0 29.1.5 83.57 1.645 0.7686 1.123 2366.0

50.0 0.08658 791.. 66.7 33.18 89.29 1.766 0.7731 1.162 2351.0

55.0 0.08980 766.0 62.6 36.98 95.18 1.878 0.7764 1.196 2339.0

60.0 0-09316 71.5.0 58.7 1.0.86 101.2 1.983 0.7790 1.225 2329.0

70.0 0.1002 716.0 51.7 1.8.77 113.7 2.176 0.7830 1.268 2320.0

SO.O 0.1076 706.0 1.5.8 56.82 126.5 2.347 0.7857 1.295 2322.0

90.0 0.1152 706.0 1.0.9 61.. 93 139.6 2.500 0.7875 1.310 2333.0 100.0 0.1229 711.. 36.8 73.06 152.7 2.639 0.7884 1.318 2351.0

120.0 0.1386 71.3.0 30.1. 89.30 179.1 2.879 0.7885 1.319 2400.0

11.0.0 0.151.3 782.0 25.8 105.lt 205.1. 3.082 0.7871 1.312 2458.0

160.0 0.1699 826.0 22.1. 121.1. 231.6 3.257 0.7850 1.303 2521.0

180.0 0.1855 873.0 19.7 137.3 257.5 3.410 0.7826 1.294 2586.0

200.0 0.2011 921.0 17.6 153.0 283.it 3.546 0.7803 1.286 2652.0

250.0 0.2396 101.0.0 14. 192.0 3ii7.3 3.831 0.7750 1.271 2817.0

300.0 0.2778 1170.0 11.6 230.5 ill 0.5 4.062 0.7707 1.260 2977.0 350.0 0.3159 1300.0 9.87 268.6 it73.it 4.255 0.7674 1.254 3133.0

1.00.0 0.3536 11.20.0 8.62 306.6 535.9 4.423 0.7648 1.249 3283.0

1(50.0 0.3917 1550.0 7.66 3i.it.it 598.3 4.569 0.7627 1.246 3427.0

500.0 0.1.295 1680.0 6.89 382.1 660.5 4.701 0.7611 1.244 3567.0 600.0 0.5052 191.0.0 5.71. It57.3 781t.8 4.927 0.7586 1.241 3833.0 700.0 0.5808 2200.0 4.93 532.it 908.8 5.118 0.7568 1.240 4083.0

SO 0.0 0.6565 21.60.0 4.31 607.3 1033.0 5.284 0.7556 1.239 4320.0

900.0 0.7322 2720.0 3.81. 682.1 1157.0 5.430 0.7546 1.239 4546.0

ioco.o 0.8080 2980.0 3.1.6 756.9 1281.0 5.560 0.7538 1.239 4761.0

1200.0 0.9596 3500.0 2.88 906.1. 1528.0 5.786 0.7527 1.239 5166.0

11.00. 1.111 1.030.0 2.1.7 1056.0 1776.0 5.977 0.7520 1.239 5543.0

1600.0 1.263 1.550.0 2.17 1205.0 202ii.O 6.143 0.7514 1.239 5897.0

1800.0 1.1.15 5080.0 1.93 135it.O 2272.0 6.289 0.7509 1.239 6231.0

2000.0 1.567 5610.0 1.71. 1501.. 2520.0 6.419 0.7506 1.239 6548.0

2500.0 1.91.7 6930.0 1.39 1877.0 3139.0 6.696 0.7500 1.239 7283.0

3000.0 2.328 8250.0 1.16 2250.0 3759.0 6.922 0.7495 1.240 7951.0

TWO-PHASE BOUNDARY
3500 PSIA ISOBAR

THEPMOPHYSICAL PROPERTIES OF HELIUM it

EMPERATURE DENSITY VIDH/OV)

F OEG. R LB/CU FT BTU/LB

11.0 1*.8* 117.0

12.0 lit. 75 12*. 13.0 lit. 67 128.0

lit.

a

lit. 60 130.0 15.0 lit. 52 130.0

16.0 lit. 1.5 130.0

17.0 lit. 37 131.0

ie.o lit. 30 131.0

19.0 lit. 21 131.0

2C.0 lit. 13 132.0

22.0 13.96 135.0

21.. 13.79 139.0

26.0 13.62 1*2.0 28.0 13.it5 1*5.0

30.0 13.28 1*7.0

32.0 13.11 1*8.0

3it.O 12.93 150.0

36.0 12.76 151.0

36.0 12.58 152.0

•tO.O 12. itl 15*.

It 5.0 11.98 157.0

50.0 11.55 160.0

55.0 11. lit 163.0

60.0 10.73 167.0

70.0 9.98 176.0

eo.o 9.295 186.0

90.0 8.682 197.0 100.0 8.136 208.0

120.0 7.217 233.0 1*0.0 6.1.8 2 258.0

160.0 5.88lt 283.0

180.0 5.390 309.0

200.0 It. 97* 33*. 250.0 It. 17* 397.0 300.0 3.599 *59.0 350.0 3.166 521.

C

itOO.O 2.826 583.0

itSO.O 2.553 6*5.0

500.0 2.328 706.0 600.0 1.979 829.0 700.0 1.722 952.0

800.0 1.523 1070.0 900.0 1.366 1200.0

1000.0 1.238 1320.0 1200.0 1.0*2 1570.0

1*00.0 0.3998 1810.0

1600.0 0.7916 2060.0

1800.0 0.7066 2310.0 2000.0 0.6381 2550.0

2500.0 0.5135 3170.0

3000.0 0.*295 3790.0

V<DP/0U> -VIOP/DV) PSIA-CU FT/BTU PSIA(DV/OTI/V THERMAL VISCOSITY

p CONDUCTIVITY

1/DEG. P BTU/FT-HR-R LB/FT-SEC

X 10E*6

11,,6 17600 ,0 10,,8 17500 , 10..* 17300 .0 10,.2 17000 ,0 10,,1 16700 ,0 10,,1 16*00 ,0 10..1 16200 ,0 10,,1 15900 ,0 10,,0 15600,,0

9,,89 15300 ,0

9,,61 1*700,,0

9,.29 1*200 ,0

9.,01 13700,,0

8,,80 13300 ,0

8,,63 12800,,0

8,,*8 12*00,,0

8,,3* 11900,,0

6,,22 11500,,0

8,,10 11100 ,0

7..98 10800,.0

7,,72 9900,,0

7,,*7 9170,,0

7.,2* 8530,,0

7. 02 8000,,0 6,,62 7160 ,0

6,,27 6560,,0

5,,98 6130.,0 5,,73 5810,,0 5,,3* 5360,,0 5,,06 5070,,

*. 8* *860.,0

*,,68 *710,,0 *,,55 *580,,0 *,,32 *360,,0 *. 17 *210.,0 *,,06 *110.,0 3,,99 *030,,0

3,,93 3 960,,0

3,,89 3910,,0 3,,82 38*0,,0

3,,78 3780,,0 3. 75 37*0.

3,,72 3710,,0

3,,70 3690,,0

3,,68 3650,,0 3.,66 3620,,0

3,,6* 3600,,0

3,,63 3590,.0 3,,62 3580,,0

3,,61 3560,,0

3,,60 35*0,,0

0,,00600 0,,0*13 32,,5

0,,005** 0,,0*3* 27 .6

0,.00518 0,,0*53 2*,,0

0.,00510 0,,0*71 21 ,2

0,,00512 0.,0*86 19 ,0

0,,00522 0,,0*99 17 .3

0..00535 0.,0510 15 .8

0.,00550 0,,0519 1*,,7

0..0056* 0.. 0527 13.,6

0,,00577 0,,0533 12 ,8

0,,00598 0.,05*3 11 ,*

0,,0061* 0,,05*9 10 ,*

0.,00626 0,,0552 9,,67

0,,00638 0,,055* 9 ,08

0,,00652 0,,055* 8.,61

0,,0066* 0,,0553 8 .23

0,,00675 0,,0552 7,,93

t,,00685 0,,05*9 7 ,68

0,,0069* 0,,05*7 7,,*7

0. 00702 0. 05** 7..30

0,,00717 0,,0537 7,.00

0,,00728 0,,0529 6,,81

0,,00733 0.,0523 6,,70

0,,0073* 0,,0518 6,.6*

c,,00722 0,,0510 6,,62

0,,00698 0,,0506 6,,68

0. 00667 0.,0506 6,.79

0,,00633 0.,0509 6 ,92

0,,00567 0.,0521 7,,22

0,,00509 0,,0537 7,,56

0, 00*60 0, 0557 7,,91

0,,00*19 0,,0579 8,,26

0,,00385 0.,0601 8,,*8

0,,00320 0,,0659 9.,36

0,,0027* 0.,0716 10,,2

0,,002*1 0,,0771 11,,0

0,,0021* 0,,0825 11,,8

0. 00193 0. 0876 12.,6

c.,00176 0,,0925 13.,3

0..00150 0, 102 1*,,8

0,,00130 0,,112 16,,*

0. 00115 0,,122 17,,9

0,,00103 0,,132 19,,*

0,,000938 0. 1*1 20,,6

0,,000790 0,,159 23,,5

0,,000683 0.,177 26,,2

0,,000601 0, 19* 28,,7

0,,000537 0.,210 31,,2

0,,000*85 0.,226 33.,6

0,,000391 0,,26* 39.,3

0,,000327 0.,300 **.,7

THEPMAL DIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER

SO FT/HR

0.00397 1.018*6 1.99 0.00*37 1.01857 1.5* 0.00*67 1.01867 1.26 0.00*88 1.01877 1.07 0.00501 1.01886 0.9*1 0.00507 1.01895 0.8*8 0.00508 1.0190* 0.781 0.00505 1.01913 0.730 0.0C501 1. 01922 0.590 0.00*9* 1.01932 0.659 0.00*79 1.019*9 0.615 0.00*66 1. 01966 0.585 0.00*55 1.01982 0.561 0.00**6 1.01997 0.5*5 0.00*37 1.02012 0.535 0.00*29 1-02025 0.528 0.00*22 1.02037 0.523 0.00*16 1.020*8 0.521 0.00*11 1.02059 0.520

0. 00*07 1.02068 0.521 0.00399 1.02085 0.527 0.0039* 1.02097 0.538 0.00393 1. 02101 0.551 0.0039* 1.02100 0.566 0.00*03 1.02083 0.593 0.00*21 1.02050 0.615

C. 00**5 1. 02007 0.632 0.00*75 1.01957 0.6*5 0.005*7 1.01850 0.659 0.00632 1.017*3 0.66* 0.00727 1.016*2 0.666 0.00830 1.01550 0.665 0.009*0 1.01*65 0.653 0.012* 1.01286 0.650 0.0158 1.011** 0.6*7

0.019* 1.01029 0.6*5 0.023* 1.00935 0.6** 0.0275 1. 00856 0.6**

0.0319 1.00790 0.6**

0. 0*17 1.00683 0.6*8 0.0526 1. 00601 0.652 0.06*7 1.00537 0.65* 0.0779 1.00*85 0.656 0.0920 1.00**2 0.657

0.123 1-00376 0.659

0.159 1.00327 0.661

0.197 1.00289 0.661 0.2*0 1.00259 0.662 0.286 1. 0023* 0.662

0.*15 1.00190 0.663 0.56* 1. 00159 0.66*

THO-PHASE 90UN0ARY
THERMODYNAMIC PROPERTIES OF HELIUM >> 1.000 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

ISOCHORE DERIVATIVE

INTERNAL

ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUND

OEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU ,' LB -R FT/SEC

12-0 0.06599 1300.0 102.0 9.623 58. *0 0.1.352 0.6252 0.7032 2604.0

13.0 0.06632 1300.0 91..

5

10.05 59.17 0.1.902 0.6018 0.671.8 2593.0

14.0 0.06663 1290.0 90.5 10.1.7 59.83 0.5397 0.5887 0.6621 2587.0

15.0 0. 06695 1270. 88.9 10.88 60.1.7 0.5853 0.5831 0.6601. 2584.0

16.0 0.06726 1260.0 88.8 11.29 61.11 0.6282 0.5832 0.6671 2584.0

17.0 0.06759 1250.0 89.5 11.71 61.77 0.6690 0.5877 0.6802 2585.0

18.0 0.06792 1230.0 90.6 12.12 62.1(3 0.7085 0.5958 0.6982 2586.0

19.0 0.06827 1220.0 91.5 12-68 63.25 0.7533 0.6055 0.7182 2586.0

20.0 0.06861. 1200.0 92.2 13.25 61.. 09 0.7972 0.6177 0.71.09 2586.0

22.0 0.06939 1180.0 92.8 11.. 1.5 65.85 0.8827 0.61.59 0.7893 2582.0

21.. 0.07017 1150.0 92.3 15.71. 67.72 0.9655 0.6730 0.831.1. 2576.0

26.0 0.07097 1130.0 91.0 17-11 69.68 1.01.5 0.6938 0.8712 2567.0

28.0 0.07179 1110.0 89.8 18.1.1 71.58 1.117 0.7097 0.9036 2560.0

30.0 0.07263 1090.0 88.8 19.62 73.1.2 1.180 0.721.0 0.9360 2554.0

32.0 0.07351 1070.0 87.5 20.87 75.32 1.21.1 0.7353 0.961.8 2548.0

31.. 0.071.1.0 1050.0 86.1 22.17 77.28 1.301 0.71.1.1 0.9905 2542.0

36.0 0.07532 1030.0 81..

5

23.1.9 79.28 1.358 0.7510 1.014 2535.0

38.0 0.07627 1010.0 82.9 21.. 81. 81.33 1.1.13 0.7565 1.035 2529.0

1.0.0 0.07721. 991.0 81.2 26.21 83.1.2 1.1.67 0.7609 1.055 2522.0

1.5.0 0.07975 91.9.0 76.9 29.71. 88.81 1.591. 0.7688 1.099 2506.0

50.0 0.08239 912.0 72.6 33.38 91.. 1.0 1.712 0.771.0 1.138 2492.0

55.0 0.08515 881.0 68.5 37.10 100.2 1.822 0.7778 1.171 2479.0

60.0 0. 08802 855-0 61.. 6 1.0.91 106.1 1.925 0.7809 1.201 2468.0

70.0 0.091.06 819.0 57.1. 1.8.69 118.1. 2.111. 0.7857 1.247 2454.0

80.0 0.1001. 799.0 51.2 56.61. 131.0 2.282 0.7890 1.279 2450.0

90.0 0.1069 792.0 1.5.9 61.. 68 11.3.9 2.1.31. 0.7912 1.299 2455.0

100.0 0.1136 791.. 1.1.5 72.78 157.0 2.572 0.7925 1.310 2467.0

120.0 0.1272 816.0 31.. 5 89.01 183.3 2.812 0.7931 1.317 2505.0

H.0.0 0.11.09 850.0 29.3 105.2 209.6 3.011. 0.7919 1.313 2556.0

160.0 0.151.6 891.0 25.5 121.2 235.8 3.189 0.7899 1.305 2612.0

180.0 0.1633 936.0 22.5 137.1 261.8 3.31.3 0.7875 1.297 2672.0

200.0 0.1818 982.0 20.1 152.9 287.6 3.1.79 0.7850 1.289 2733.0

250.0 0.2155 1100.0 15.9 192.0 751.7 3.765 0.7792 1.273 2888.0

300.0 0.21.89 1230.0 13.2 230.7 1.15.1 3.996 T. 771.5 1.262 3042.0

350.0 0.2822 1350.0 11.3 269.0 1.78.0 4.190 0.7708 1.255 3191.0

1.00.0 0.3153 11.80.0 9.83 307.0 51.0.6 4.357 0.7678 1.250 3336.0

1.50.0 0.31.81. 1600.0 8.73 31.1..

9

603.0 4.504 0.7655 1.247 3477.0

500.0 0.3815 1730.0 7.85 382.7 665.3 4.635 0.7636 1.244 3613.0

600.0 0.1.1.76 19S0.0 6.55 1.58.0 789.5 4.862 0.7607 1.241 3873.0

700.0 0.5136 221.0.0 5.62 533.1 913.6 5.053 0.7587 1.240 4119.0

80 0.0 0.5797 2500.0 it. 92 608.1 1037.0 5.218 0.7572 1.239 4353.0

900.0 0.61.59 2760.0 4.38 683.0 1161.0 5.361. 0.7561 1.239 4576.0

1100. 0.7121 3020.0 3.91. 757.8 1285.0 5.1.95 0.7552 1.238 4789.0

1200.0 0.81.1.5 351.0.0 3.29 907.1. 1533.0 5.721 0.7539 1.238 5190.0

11.00.0 0.9771 1.060.0 2.82 1057.0 1781.0 5.912 0.7530 1.239 5564.0

1600.0 1.110 4590.0 2.1.7 1206.0 2028.0 6.077 0.7521. 1.239 5915.0

1800.0 1.21.3 5110.0 2.20 1356.0 2276.0 6.223 0.7518 1.239 6247.0

2000.0 1.376 561.0.0 1.98 1505.0 2521.. 6.353 0.7511. 1.239 6563.0

2500.0 1.708 6960.0 1.59 1878.0 311.3.0 6.630 0.7507 1.239 7294.0

THO-PHASE BOUNDARY
1.000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM l»

TEMPERATURE DENSITY

OEG. R LB/CU FT

IMOH/OV) V(DP/DU) -V(DP/DV>_

p v T

BTU/L9 PSIA-CU FT/BTU PSIA

(DV/OT1/V THERMAL

P CONDUCTIVITY BTU/FT-HR-R LB/FT-SEC

X 10E + 6

THFRMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

12.0 15.15 135.0

13.0 15.08 139.0

1<<.0 15.01 11.1.0 15.0 li.. 91. 11.1.0 16.0 11.. 87 11.1.0 17.0 1".. 80 11.0.0 ie.o 11.. 72 11.0.0 19.0 11.. 65 11.0.0 20.0 11.. 57 11.1.0

22.0 11.. 1.1 11.1.. 2<i.0 11*. 25 11.9.0 26.0 11.. 09 153.0

26.0 13.93 156.0

30.0 13.77 158.0

32.0 13.60 160.0

31.. 13.1.1. 162.0

36.0 13.28 161.. 38.0 13.11 165.0

<*0.0 12.95 167.0

i»5.0 12.51. 170.0

50.0 12.11. 173.0

55.0 11.71. 177.0

60-0 11.36 181.0

70.0 10.63 189.0

80.0 9.96 199.0

90.0 9.350 209.0 100.0 8.600 221.0 120.0 7.859 21.5.0

11.0.0 7.095 270.0

160.0 6.1.67 295.0

180.0 5.91.3 321.0 200.0 5.1.99 31.6.0 250.0 <t.6«»0 1.09.0 300.0 It. 017 1.72.0 350.0 3.51.1. 531.. 1.00.0 3.171 595.0

1.50.0 2.870 657.0

500.0 2.621 718.0

600.0 2.231. 81.1. 700.0 1.91.7 961.. 800.0 1.725 1090.0 900.0 1.51.8 1210.0 1000.0 1.1.01. 1330.0

1200.0 1.181. 1580.0

11.00. 1.023 1820.0

leoo.o 0.9010 2070.0 1800.0 0.801.7 2320.0

2000.0 0.7270 2560.0

2500.0 0.5855 3180.0

10.8 19700,,0 10. ". 19500,,0 10.2 19300,,0 10.2 19000..0 10.2 18700,.0 10.3 i8i.no,,0 10.3 18100,,0 10.3 17800..0 10.2 17500,,0 10.0 17000,,0 9.62 16500.,0 9.31 16000.,0 9.08 15500,,0 8.91 15000,,0 8.75 llt500..0 8.60 lltlOO..0 8.1.8 13600,,0 8.35 13200,,0 8.21. 12800.,0 7.98 11900.,0 7.73 11100,.0 7.50 10300,.0 7.28 9720,.0 6.87 8710,,0 6.52 7960,.0 6.21 71tl0.,0 5.95 6990,,0 5.53 6itl0.,0 5.22 6030..0 t.99 5760,,0 1..80 5560.,0 1..66 51t00,,0

it.i.0 5110,,0

1..21. lt920,,0

it. 12 lt790,,0

•t. Oit 1.680.,0 3.97 1.600.,0 3.92 1.530.,0 3.85 1.1.1.0,,0 3.80 1.360..0 3.77 1.310,,0 3.7it 1.270,,0 3.72 1.21.0,,0 3.69 1.190. 3.66 1.16C,,0 3.65 ltl30,,0 3.61t ltl20,,0 3.63 1.100,,0 3.61 lt070,,0 3.60 1.060,.0

0,.00519 0,,01.61. 35,,2

0,,001.81. 0,,01.85 30,,1

0,,001.69 0,,0503 26,,3

0. 001.68 0.,0520 23.,3

0,,00it7it 0,,0531. 21,,0

0,,00it86 0,,051.6 19,,1

0,,001.99 0.,0556 17,,5

0. 00513 0,,0561. 16,,2

0,,00526 0,,0571 15,.1

0,,005lt6 0.,0581 13,,3

0.,00561 0..0568 12,,0

0.,00570 0,,0591 11,,0

0.,00560 0,,0593 10,.2

0.,00592 0,,0593 9,,6it

0., 00602 0..0592 9.,16

0.,00611 ,0590 8,,77

0,,00619 0,,0588 8,,lt5 0,,00626 0,,0585 8,.18

0., 00633 0..0582 7.,97

0,,0061.7 0,,057<t 7,.57

0,,00656 0,,0565 7,,32

0,,00662 0..0559 7..16

0,,00665 0,,0552 7,,06

0,,00659 0,,051t3 6,,99

t,,0061.3 0,,0538 7.,01

0., 00620 0..0536 7.,09

0.,00593 0,.0537 7,,20

c,,00538 0,,05lt6 7,,1.8

0. 001.86 0,.0561 7.,79

0,,001.1.2 0,,0579 8,,12

0.,001.01. 0.,0599 8,,1.6

0.,00372 0.,0621 6,,67

0,,00311 0.,0676 9,,52

0,,00268 0,,0731 10,,3

0,,00235 0,,0785 11,,1

0.,00210 0,.0837 11.,9

0,,00190 0,,0887 12.,7

0,,00173 0,,0935 13.,it c, 0011.8 0,, 103 lit,,9

p. 00129 0. 113 16.,5

0,,00111. 0.,123 18.,0

0.,00102 0.,132 19.,<t 0.,000930 0,,11.2 20,,8

0,,000785 0.,160 23,,6

0.,000679 0,,177 26,,2

0.,000598 0,,191. 28.,7

p.,000531. 0..210 31,.2

0.,0001.83 0.,226 33,,6

0,,000389 0.,261. 39,,3

0,,000326 0,,301 it it,,7

0,,001.36 1,,01802

0,,001.77 1,,01812 ,00507 1,,01823

0,,00527 1,,01832

0,.00538 1,,0181.2

0,,0051.2 1.,01851

0,,0051.1 1.,01861

0,,00537 1.,01871

0,,00529 1.,01860

0,,00511 1.,01900

0,.001.91. 1..01918

0,,001.82 1,,01936

0,,001.71 1,, 01953

0,,001.60 1,,01969

0.. 001.51 1.. 01981.

0,,001.1.3 1.,01999

0.,001.37 1,,02012

.001.31 1,,02025

0,,001.26 1,.02036

0,,001.16 1,,02061

0,,001.10 1,,02080

0,.001.06 1..02092

0,,001.05 1,,02100

0.,001.10 1,,02099

0,,001.22 1,,02082

0,.001.1.1 1. 02053

0,,001.66 1,,02016

0,,00528 1.,01928

0,.00602 1,,01833

0,,00686 1,,0171.1

0.,00777 1.,01653

0..00675 1..01571

0,,0111. 1,,01393

0.,011.1. 1,,0121.8

0,,0177 1.,01130

0..0211 1. 01031

0.,021.8 1,,0091.7

0,,0287 1,,00876

0,,0372 1,,00761

0,,01.69 1,,00673

0,,0575 1,,00602

0.,0690 1.,0051.5

0,,0811. 1. 001.98

0.,109 1,,001.21.

0,,11.0 1.,00369

0,,171. 1.,00327

0. 211 1. 00293

0,,251 1,,00266

0,,361. 1.,00216

0,,1.95 1.,00181

1.92

1.51 1.25

1.07

0.91.1. 0.856

0.791

0.71.1 0.703

650 613

581. 562

51.8 537

530

521. 521

520 0.522 0.529

0.51.0 0.552 0.578

0.600 0.619 0.632

0.61.9 0.657

0.659 0.659

0.61.9

0.61.6

.61.3

.61.1

.6it0

• 6it0 .61.1

.61.5

61.9 652

651. 656 658

660

661 0.661 0.662

0.663

TWO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 1.500 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM

DERIVATIVE

ISOCHORE DERIVATIVE

INTERNAL

ENERGY ENTHALPY ENTROPY CV CP VELOCITYOF SOUNO

OEG. R CU FT/L8 CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU . ' LB -R FT/SEC

12.0 , 061)1.2 11)10.0 110.0 10.48 64. 16 0.4043 0.6617 0.7410 2709.0

13.0 0.061)73 11)10.0 100.0 10.93 64. 87 0.4616 0.6226 0.6938 2698.0

14.0 0.06502 1400.0 94.3 11.35 65.53 0.5120 0.5982 0.6679 2692.0

15.0 0.06530 1390.0 92.1 11.76 66.17 0.5576 0.5845 0.6567 2669.0

16.0 0.06559 1380.0 91. 7 12.16 66.81 0.6000 0.5788 0.6566 2690.0

17.0 0.06588 1360.0 92.1) 12.55 67.45 0.6400 0.5793 0.6649 2692.0

18.0 0.06618 1350.0 93.6 12.96 68.10 0.6785 0.5849 0.6797 2695.0

19.0 0.0661)9 1330.0 94.9 13.49 68.90 0.7223 0.5933 0.6982 2697.0

20.0 0.06682 1320.0 96.0 14.04 69. 72 0.7653 0.6054 0.7207 2699.0

22.0 0.06750 1300.0 97.2 15.20 71.45 0.8492 0.6350 0.77O3 2698.0

24.0 0.06820 1270.0 97.0 16.46 73.29 0.9308 0.6645 0.8172 2693.0

26.0 0.06892 1250.0 95.8 17.80 75.23 1.010 0.6873 0.8550 2686.0

28.0 0.06965 1230.0 94.7 19.06 77.10 1.080 0.7043 0.8875 2680.0

30.0 0.0701.1 1210.0 93.7 20.24 78.91 1.142 0.7197 0.9198 2676.0

32.0 0.07119 1190.0 92.6 21.46 80.78 1.203 0.7319 0.9482 2671.0

3 it. 0.07199 1170.0 91.2 22.72 82.70 1.261 0.7414 0.9736 2666.0

36.0 0.07280 1150.0 89.7 24.01 84.67 1.317 0.7490 0.996 2661.0

38.0 0.07361) 1130.0 88.1 25.32 86.68 1.372 0.7550 1.017 2656.0

i.0.0 0.07i>50 1110.0 86.5 26.66 88.74 1.424 0.7598 1.037 2650.0

i»5.0 0.07671 1070.0 82.3 30.11 94.03 1.549 0.7686 1.080 2636.0

50.0 0.07903 1030.0 78.1 33.67 99.5 1.665 0.7745 1.117 2622.0

55.0 0.0811)5 995.0 74.0 37.33 105.2 1.773 0.7789 1.151 2609.0

60.0 0.08396 966.0 70.0 41.06 111.0 1.874 0.7825 1.180 2597.0

70.0 0.08923 922.0 62.7 48.73 123.1 2.060 0.7880 1.229 2580.0

80.0 0.091)77 895.0 56.3 56.58 135.6 2.227 0.7920 1.264 2571.0

90.0 0.1005 881.0 50. 8 64.56 148. 3 2.377 0.7948 1.288 2571.0

100.0 0.1061. 877.0 46.0 72.61 161.3 2.513 0.7965 1.302 2578.0

120.0 0.1181. 891.0 38.4 88.80 187.5 2.752 0.7976 1.314 2607.0

140.0 0.1305 920.0 32. 8 105.0 213.8 2.955 0.7966 1.313 2650.0

160.0 0.11.27 957.0 28.5 121.1 240.0 3.130 0.7947 1.307 2700.0

180. 0.151.8 1000.0 25.2 137.0 266.0 3.283 0.7922 1.300 2755.0

200.0 0.1669 101)0.0 22.5 152.9 291.9 3.420 0.7897 1.292 2812.0

250.0 0.1968 1160.0 17.8 192.1 356.1 3.706 0.7835 1.276 2958.0

300.0 0.2265 1280.0 14.8 230.9 419.6 3.938 0.7783 1.264 3105.0

350.0 0.2560 11)00.0 12.6 269.3 482.6 4.132 0.7742 1.256 3249.0

itOO. 0.2851) 1530.0 11.0 307.5 545.3 4.299 0.7709 1.251 3389.0

It50.0 0.311)7 1650.0 9.79 345.4 607.7 4.446 0.7683 1.247 3526.0

500.0 0.3i)i)l 1780.0 8.31 383.3 670.0 4.578 0.7661 1.244 3659.0

600.0 0.1)027 2030.0 7.35 458.7 794.2 4.804 0.7629 1.241 3914.0 700.0 0.1)613 2290.0 6.30 533.9 918.3 4.995 0.7606 1.240 4155.0

800. 0-520O 2540.0 5.52 608.9 1042. 5.161 0.7589 1.239 4386.0 900.0 0.5787 2800.0 4.91 683.8 1166.0 5.307 0.7576 1.238 4606.0

1000.0 0.6371) 3060.0 4.43 758.7 129 0.0 5.437 0.7566 1.238 4816.0

1200.0 0.7550 3580.0 3.69 908.3 1537.0 5.663 0.7551 1.238 5214.0

lltOO.O 0.8727 1)100.0 3.17 1058.0 1785.0 5.854 0.7541 1.238 5585.0

1600.0 0.9905 1)620.0 2.78 1207.0 2033.0 6.019 0.7533 1.238 5934.0

1800.0 1.108 5150.0 2.47 1357.0 2280.0 6.165 0.7528 1.239 6264.0

2000.0 1.226 5670.0 2.23 1506.0 2528.0 6.295 0.7523 1.239 6578.0

2500.0 1.522 6990.0 1.78 1880.0 3148.0 6.572 0.7515 1.239 7306.0

3000.0 1.817 8310.0 1.49 2253.0 3767.0 6.798 0.7509 1.239 7969.0

TWO-PHASE BOUNOARY
1.500 PSIA ISOBAR

THERMOPHYSICAL PROPFRTIES OF HELIUM <t

TEMPERATURE DENSITY

DEG. R LB/CU FT

V(DH70V> VCDP/DU) -V(OP/DV)^

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(DV/DT1/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E*6

12.0 15.52 H.8.0

13.0 15.1.5 151.0

l"t.O 15.38 153.0

15.0 15.31 152.0

16.0 15.25 150.0

17.0 15.18 11.9.0 18.0 15.11 11.8.0 19.0 15.01. 11.8.0 20.0 11.. 97 11.8.0 22.0 11.. 82 152.0

21.. 11*. 66 157.0

26.0 11.. 51 162.0

26.0 11.. 36 166.0

30.0 lit. 20 169.0

32.0 11.. 05 171.0

31.. 13.89 173.0 36.0 13.71. 175.0

36.0 13.58 177.0

1.0.0 13.1.2 179-0

1.5.0 13.01. 183.0

50.0 12.65 186.0 55.0 12.28 190.0

60.0 11.91 194.0

70.0 11.21 202.0

80.0 10.55 212.0

90.0 9.91.9 222.0 100.0 9.398 233.0

120.0 8.1.1.5 257.0

11.0.0 7.660 282.0

160.0 7.008 307.0

180.0 6.1.60 333.0

200.0 5.993 358.0

250.0 5.082 1.21.0 300.0 1..1.16 1.81.. 350.0 3.907 51.6.0 400.0 3.501. 607.0

1.50.0 3.177 669.0

500.0 2.906 730.0 600.0 2.1.83 853.0 700.0 2.168 975.0

800.0 1.923 1100.0 900.0 1.728 1220.0 1000.0 1.569 131.0.0 1200.0 1.325 1590.0

11.00.0 1.11.6 1830.0 1600.0 1.010 2080.

O

1800.0 0.9022 2330.0

2000.0 0.8151. 2570.0

2500.0 0.6572 3190.0

10 7 22000

10 1. 21800

10 3 21500

10 3 21300

10 i. 21000

10 5 20700

10 6 201.00 10 6 20100

10 6 19800

10 3 19200

10 18700

9 61 18200

9 36 17700

9 17 17200

9 00 16700

8 85 16200

8 72 15800

8 60 15300

e 1.8 1U900

8 21 13900

7 97 13000

7 77 12200

7 51 11500

7 10 10300

6 71. 91. 1.0 6 1.2 8760

6 15 821.0 5 70 7520

5 37 701.C

5 12 6710

i. 92 61.50

I. 76 6250

(. 1.8 5900

<t 30 5660

t. 17 51.90

i» 08 5350

<» 01 5250

3 96 5170

3 88 5050

3 82 1.960 3 78 1.890. 3 75 1.81.0 3 73 1.800 3 69 1.71.0 3 67 1.700 3 65 1.670 3 61. 1.61.0 3 63 1.630 3 61 1.590

00502 01.91. 1.1..

6

001.58 0516 37.6

r 001.38 0536 32.1. 001.33 0553 28.1. 001.37 0568 25.3

0. 01.1.6 0581 22.8

001.59 0592 20.8

0. 001.73 0601 19.0

001.86 0608 17.6 00506 0619 15.3

00520 0626 13.7 528 0629 12.5 00536 0631 11.5

0. 0051.6 0631 10.7

00551. 0630 10.1 00562 0628 9.65

00568 0625 9.25

00575 0622 8.92

0. 00580 0618 8.65

00591 0609 8.15

0, 00600 0601 7.83

0, 00606 0593 7.61 00609 0586 7.1.8

c 00607 0575 7.35

00597 0568 7.3<> 00579 0565 7.39

00558 0565 7.1.8 00511 0572 7.73

r 001.65 0581. 8.02

001.25 0601 8.33

390 0620 8.66

361 061.0 8.85

00303 0693 9.68

261 071.7 10.5

00230 a 0799 11.3

0. 00206 0850 12.0

c. 00186 0899 12.7

00170 091.6 13.5

0. 0011.6 101. 15.0 00127 111. 16.5

0. 00113 0. 123 18.0

0. 00101 133 19.5

0. 000922 i«i2 20.9

0. 000779 0. 160 23.6

0. 000675 178 26.2

0. 000595 19". 28.8 000532 211 31.2

0. 000481 227 33.6

0. 000388 265 39.3

0. 000325 301 1.1..

7

THERMAL OIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.001.29 1.0171.6 2.1.1 0.001.81 1.01758 1.82 0.00522 1.01768 1.1.5 0.00550 1.01776 1.22 0.00568 1.01788 1.05 0.00576 1.01796 0.91.0 0.00576 1.01608 0.858 0.00572 1.01818 0.797

0.00561. 1.01828 0.751

0.0051.2 1.0181.9 0.688 0.00522 1.01869 0.61.1. 0.00507 1.01888 0.609

0.001.95 1.01906 0.582

0.001.83 1.01921. 0.561.

0. 001.73 1.0191.0 0.550

0.001.61. 1.01957 0.539

0.001.57 1.01972 0.531

0.001.50 1.01966 0.526

0. 001.1.1. 1.02000 0.522

0.001.33 1.02030 0.520

0.001.25 1.02055 0.521. 0.001.20 1.02071. 0.532

0.001.17 1.02088 0.51.2 0.001.18 1.02101 0.566

0.001.26 1.02098 0.588

0.001.1.1 1.02082 0.606

0.001.62 1.02056 0.621 0.00515 1.01986 0.61.0 0.00581 1.01905 0.61.9 0.00656 1.01821 0.653 0.00738 1.01739 0.653 0.00826 1.01662 0.61.1. 0.0107 1.011.88 0.61.1 0.0131. 1.0131.3 0.639 0.0163 1.01221 0.637

0.0191. 1.01119 0.636 0.0227 1.01032 0.637 0.0261 1.00958 0.637 0.0338 1.00836 0.61.2

0.01.21. 1.0071.1 0.61.7 0.0518 1.00665 0.650 0.0621 1.00603 0.652 0.0732 1.00552 0.651. 0.0977 1.00471 0.657

0.125 1.001.11 0.659

0.155 1.00365 0.660 0.189 1.00327 0.661

0.221. 1.00297 0.661 0.325 1.0021.1 0.662

0.1.1.1 1.00203 0.663

TWO-PHASE BOUNDARY
5000 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM i>

TEMPERATURE DEC R

13.0

14.0

15.0 16.0

17.0 ie.o

19.0

20.0

22.0

21..

26.

28.

30.

32.

34. 36.

38, 40,

1.5. 50. 55. 60.

70.

80, 90. 100.

120.

11.0.

160.

180. 200.

250.

300. 350.

400. 450.0

500.0

600.0

700.0

800.0

900 1000

1200

140 1600

1800 2000

2500 3000.0

VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY

DERIVATIVE DERIVATIVE ENERGY

CU FT/LB CU FT-PSIA/LB PSIA/P BTU/LR BTU/LB

0.06333 1520.0 105.0 11.81 70.45

0.06360 1510.0 98.2 12.24 71.13

0.06386 1500.0 95.1 12.65 71.77

0.06412 1490.0 94.3 13.04 72.41

0.06438 1480.0 95.0 13.42 73.03

0.06465 1460.0 96.4 13.81 73.67

0.06494 1450.0 98.1 14.32 74.45

0.06523 1430.0 100.0 14.86 75.25

0.06585 1410.0 101. 15.98 76.95

0.06650 1390.0 102.0 17.20 78.77

0.06715 1370-0 100.0 18.51 80.69

0.06782 1350.0 99.4 19.75 82.54

0.06850 1330.0 98.5 20.90 84.32

0.06921 1310.0 97.4 22.08 86.16 0.06993 1290.0 96.1 23.31 88.06

0.07067 1270.0 94.6 24.57 90.00

0.07143 1250.0 93.1 25.86 91.99

0.07220 1230.0 91.5 27.17 94.01

0.07418 1180.0 87.4 30.55 99.23

0.07625 1140.0 83.2 34.04 104.6 0.07841 1110.0 79.1 37.63 110.2 0.08064 1080.0 75.1 41.30 116.0 0.08532 1030.0 67.7 48.86 127.9 0.09023 992.0 61.1 56.62 140.2 0.09534 971.0 55.4 64.53 152.8 0.1006 962.0 50.4 72.53 165.7 0.1113 967.0 42.3 88.68 191.7 0.1222 990.0 36.2 104.9 218.0 0.1331 1020.0 31.5 121.0 244.2

0.1440 1060.0 27.9 137.0 270.3 0.1548 1110.0 25.0 152.9 296.3 0.1817 1220.0 19. 8 192.3 36 . 5 0.2084 1340.0 16.4 231.1 424.1 0.2350 1460.0 14.0 269.7 487.2 0.2614 1580.0 12.2 307.9 549.9 0.2878 1700.0 10.8 346.0 612.4 0.3141 1830.0 9.76 383.9 674.7

0.3668 2080.0 8.14 459.4 799.0 0.4194 2330.0 6.98 534.6 923.0 0.4721 2590.0 6.12 609.7 1047.0

0.5249 2840.0 5.45 684.7 1171.0 0.5776 3100.0 4.91 759.6 1294.0 0.6833 3620.0 4.10 909.3 1542.0

0.7891 4140.0 3.52 1059.0 1790.0

0.8950 4660.0 3.08 1208.0 2037.0

1.001 5180.0 2.74 1358.0 2285.0

1.107 5710.0 2.47 1507.0 2532.0

1.373 7020.0 1.98 1881.0 3152.0

1.63 8 8330.0 1.65 2254.0 3771.0

BTU/LR-R 0.4349

0.4865

0.5324 0.5745

0.6139 0.6515

0.6944

0.7364 0.8188

0.8994

0.9777 1.047

1.109

1.168 1.225

1.281 1.335

1.387

.509

.623

.730

.830 .013

.177 .326 2.461 2.699

2.901 3.076

3.230 3.367

3.654

3.886

4.080

4.248 4.395

4.526 4.753

4.944

5.109 5.255

5.386

5.611 5.802

5.967 6.113

6.244

6.520 6.746

6474

6105

5877 5756

5717

5743 5813

5931 6243

6561

6811

6992 7155

7285

7387 7468

7533 0.7586

0.7682

0.7748

.7798

.7838 .7902

.7948

.7981

.8002 .8019

.8012 0.7994

0.7969

0.7943 0.7877

0.7822 0.7776

0.7740 0.7711

0.7687

0.7650 0.7625

0.7606

0.7591 0.7580 0.7563

0.7552

0.7543

0.7537

0.7532 0.7522

0.7516

CP VELOCITY

OF SOUND

-R FT/SEC

0.7177 2795.0 0.6773 2788.0 0.6559 2786.0 0.6484 2787.0 0.6515 2791.0 0.6629 2796.0

0.6799 2800.0 0.7021 2804.0

0.7532 2806.0 0.8022 2803.0 0.8414 2797.0 0.8741 Z792.0 0.9063 2789.0 0.9346 2786.0 0.9597 2782.0 0.9823 2778.0 1.003 2773.0 1.022 2768.0 1.064 2756.0 1.101 2743.0

1.133 2731.0

1.163 2719.0

1.212 2699.0 1.249 2687.0

1.276 2682.0 1.294 2684.0 1.311 2705.0

1.313 2741.0

1.308 2786-0

1.302 2836.0

1.294 2889.0 1.278 3026.0

1.266 3166.0

1.257 3305.0 1.252 3441.0 1.248 3574.0

1.245 3703.0

1.241 3953.0 1.239 4191.0 1.238 4418.0

1.238 4635.0 1.238 4843.0 1.238 5237.0

1.238 5605.0

1.238 5952.0 1.238 6280.0

1.238 6592.0 1.239 7317.0

TWO-PHASE BOUNDARY
5000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <t

TEMPERATURE DENSITY

OEG. R L9/CU FT

p v T

BTU/LB PSIA-CU FT/BTU PSIA

13.0 15.79 161..

lit. 15.72 161.. o 15.0 15.66 162.0

16.0 15.60 160.0

17.0 15.53 157.0

18.0 15.1.7 156.0

19.0 15.1.0 155.0

20.0 15.33 155.0

22.0 15.19 159.0

2 4.0 15.01. 165.0

26.0 It. 89 170.0

28.0 14.75 175.0

30.0 li*. 60 178.0

32.0 11.. 1.5 181.0

34.0 11.. 30 181.. 36.0 lit. 15 186.0

38.0 11.. 00 188.0 40.0 13.85 190.0

".5.0 13.1.8 191.- 50.0 13.11 198.0 55.0 12.75 202.0

60.0 12.1.0 207.0 70.0 11.72 215.0

80.0 11.08 225.0 90.0 10.1.9 235.0

100.0 9.91.2 21.6.0 120.0 8.981. 269.0

1 ".0.0 8.181. 29<>.0

160.0 7.513 319.0

180.0 6.91.5 3«.5.0 200.0 6.1.59 370.0 250.0 5.502 i.3i.. 300.0 4.798 1.96.0 350.0 4.256 558.0

too. 3.826 620.0

1.50.0 3.1.75 681.0

500.0 3.181. 71.2.0 600.0 2.727 865.0 700.0 2.381. 987.0

800.0 2.118 1110.0 900.0 1.905 1230.0 iaoo.o 1.731 1350.0 1200.0 1.1.63 1600.0

11.00.0 1.267 1850.0 1600.0 1.117 2090.0 1800.0 0.999 23<t0.0 2000.0 0.9033 2580.0

2500.0 0.7286 3200.0

10.3 21.000.,0 10.2 23800,,0 10.3 23500..0 10.5 23200.,0 10.7 22900.,0 10.9 22600,.0 11.0 22300,,0 11.0 22000.,0 10.7 211.00 .0 10.3 20900,.0 9.91 201.00,,0 9.6i* 19900,,0 9.1.3 191.00,,0 9.25 18900,,0 9.10 181.00,.0 8.96 17900,,0 8.83 17500,,0 8.71 17000,.0

8.1.1. 16000.,0 8.19 15000 ,0 7.95 11.100,,0 7.73 13300,,0 7.31 12000,,0 6.91. 11000,,0 6.61 10200,,0 6.33 9570,,0 5.87 8690,,0 5.52 8100,,0 5.25 7690,,0 5.03 7380. 4.86 71U0,.0

it. 56 6710,,0 4.36 61.20,,0 4.23 6210,,0 4.12 605C,,0 4.05 5920,,0 3.99 5820,,0 3.90 5670,,0

3.81. 5560,,0 3.80 51.80,,0 3.77 51.20..0 3.71. 5370,,0 3.70 5300,,0 3.68 521.0,,0 3.66 5210.,0 3.61. 5180,,0 3.63 5150,,0 3.61 5110,,0

<DV/DT)/V THERMAL VISCOSITY THERMAL DIELECTRIC PRANOTL

p CONDUCTIVITY DIFFUSIVITY CONSTANT NUMBER

1/DEG. R 8TU/FT-HR-R LB/FT-SEC

X 10E+6

SQ FT/HR

0.001.38 0.051.7 1.6.6 0.001|83 1.01703 2.20

0.001.13 0.0568 39.7 0.00533 1.0171it 1.70

0.001.01. 0.0586 Jlt.lt 0.00571 1.0172lt 1.39

0. 001.06 0-0602 30. it 0.00596 1.017311 1.18

0.001.11. 0.0616 27.1 0.00609 1.017ltit 1.03

0.001.26 0.0628 24.5 0.00612 1.01755 0.931

0.001.1.0 0.0637 22.3 0.00609 1.01765 0.857

0.001.53 0.061.5 20.5 0.00599 1.01776 0.803

0.001.71. 0.0656 17.6 0.00571. 1.01797 0.729

0.001.87 0.0663 15.6 0.0051.9 1.01818 0.678 0.00494 0.0667 11*. 0.00532 1.01838 0.637 0.00501 0.0668 12.8 0.00518 1.01858 0.605 0.00509 0.0668 11.9 0.00505 1.01877 0.582 0.00516 0.0666 11.2 0.001.93 1.01895 0.561. 0.00523 0.0661. 10.6 0.001.81. 1.01913 0.551 0.00528 0.0661 10.1 0.001.75 1.01929 0.51*0 0.00533 0.0657 9.69 0.001.68 1.0191.5 0.532 0.00538 0.0653 9.36 0.001.62 1.01961 0.527

0.0051.7 0. 06i.it 8.7lt 0.001.1.9 1.01995 0.520 0.00555 0.0631. 8.31. 0.001.39 1.02021. 0.521

0. 00560 0.0625 8.07 0.001.33 1.02049 0.527 0.00563 0.0618 7.90 0.001.28 1.02068 0.535 0.00563 0.0605 7.71 0.001.26 1.O2093 0.556 0.00556 0.0597 7.66 0.001.31 1.02102 0.577

0.0051.3 0.0593 7.69 0.001.1*3 1.02097 0.596 0.00526 0.0592 7.76 0.001.60 1.02082 0.611

0.001.87 0.0596 7.98 0.00506 1.02030 0.631

0.001.1.6 0.0607 8.21. 0.00565 1.01962 0.61*2

0.001.10 0.0622 8.51. 0.00633 1.01888 0.61*6 0.00377 0.061.0 8.85 0.00708 1.01812 0.61.8 0.0031.9 0.0659 9.03 0.00788 1.01739 0.639

0.00295 0.0710 9.83 0.0101 1.01571 0.637 0.00255 0.0762 10.6 0.0125 1.011.28 0.635 0.00225 0.0813 11.1. 0.0152 1.01306 0.633 0.00202 0.0862 12.1 0.0180 1.01201 0.633 0.00183 0.0910 12.8 0.0210 1.01112 0.633

0.00168 0.0956 13.5 0.021.1 1.0103". 0.63".

0.0011.1. 0.105 15.0 0.0310 1.00907 0.639 0.00126 0.115 16.5 0.0388 1.00806 0.61.1. 0.00112 0.121. 18.0 0.01.73 1.00726 0.61.8 0.00101 0.133 19.5 0.0566 1.00660 0.651

0.000911. 0.11.3 20.9 0.0666 1.0060". 0.653

0.000771. 0.161 23.6 0.0887 1.00517 0.656

0.000671 0.178 26.3 0.113 1.001.52 0.658 0.000592 0.195 28.8 0.11.1 1.001.01 0.659

0.000530 0.211 31.2 0.171 1.00361 0.660 0.000U79 0.227 33.6 0.203 1.00328 0.661 0.000387 0.265 39.3 0.29it 1.00266 0.662

0.000321. 0.301 ltd . 7 0.398 1.0022". 0.663

THO-PHASE BOUNOARY
6000 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM t>

TEMPERATURE VOLUME ISOTHERM ISOCHORE INTERNAL ENTHALPY DERIVATIVE DERIVATIVE ENERGY

OEG. R CU FT/LB CU FT-PSIA/L8 PSIA/R BTU/LB BTU/LB

15.0 0.0611.2 1720.0 101.0 11). 1)6 82.70

16.0 0.06161. 1700.0 99.0 li>. 81) 83.33

17.0 0.06186 1690.0 100.0 15.21 83.91* 18. 0.06209 1680.0 101.0 15.56 81.. 51) 19.0 0.06233 1660.0 101). 16.01) 85.29

20.0 0.06258 1650.0 106.0 16.53 86.06

22.0 0.06311 1620.0 109.0 17.58 87.70

2<t.O 0.06366 1600.0 110.0 18.71. 89.1.7 26.0 0.061.23 1590.0 109.0 20.01 91.36

28.0 0.061*80 1570.0 108.0 21.19 93.18

30.0 0.06538 1550.0 108.0 22.28 91*. 92 32.0 0.06598 1530.0 107.0 23.1.1 96.72

3U. 0.06660 1510.0 105.0 21). 58 98.57

36.0 0.06722 11)90.0 101). 25.79 100.5

38.0 0.06786 U:7 0.0 102.0 27.02 102.1*

1*0.0 0.06850 11*50.0 101.0 28.29 101*. i*

1.5.0 0.07016 11*10.0 96.7 31.51. 109.5

50.0 0.07188 1370.0 92.6 31*. 92 111).

55.0 0.07366 1330.0 88.1. 38.1)0 120.2

60.0 0.0751.9 1290.0 81*. 1* i>1.97 125.9

70.0 0.07931 1230.0 76.9 1.9.33 137.1. 80.0 0.08332 1190.0 70.0 56.9? 11)9.5 90.0 0.0871.8 1160.0 63.9 61*. 71 161.9

100.0 0.09176 llitO.O 59.5 72.61 171.. 6 120.0 0.1006 1120.0 1.9.6 88.61. 200.1*

11.0.0 0.1096 1130.0 1)2.7 101*.

226.5

160.0 0.1186 1160.0 37.3 120.9 252.7

180.0 0.1277 1190.0 33.1 137.0 278.9

200.0 0.1367 1230.0 29.7 153.0 301*.

250.0 0.1591 131*0.0 23.5 192.6 369.1. 300.0 0.1813 li>50.0 19.5 231.7 1)3 3.1 350.0 0.2031. 1570.0 16.7 270.1. l.96.l> UOO.O 0.2253 1690.0 li).

308.9 559.2

1+50.0 0.21.72 1810.0 12.9 31.7.1 621.7

500.0 0.2691 1930.0 11.6 385.1 681.. 1 600.0 0.3128 2170.0 9.71 1*60.8 808.3

700.0 0.3565 21)20.0 8.31) 536.2 932.3

800.0 0.1.003 2670.0 7.31 611.1. 1056.0 900.0 O.iti.i.1 2930.0 6.50 686.5 1180.0

1000.0 0.1*879 3180.0 5.86 761.5 1301*. 1200.0 0.5757 3690.0 i>.90 911.3 1551.0

li<00.0 0.6637 1)210.0 1..21 1061.0 1798.0

1600.0 0.7517 1)730.0 3.69 1211.0 201*6.0 1800.0 0.8398 5250.0 3.28 1360.0 2293.0

2000.0 0.9280 5770.0 2.96 1510.0 251*1.0 2500.0 1.11)9 7080.0 2.37 1881.. 3160.0

3000.0 1.37 8390.0 1.98 2257.0 3779.0

ENTROPY

BTU/LB-R

0. 1.880 0.5298

0.5682

0.601*2

0.61*53 0.6855

0.7650

0.81*37 0.9208

0.9892

1.0U9 1.107

1.163 1.218

1.270 1.321

1.1*1*1 1.552 1.656

1.751. 1.933

2.093 2.239

2.373

2.608

2.810 2.985

3.138

3.276

3.561. 3.796

3.991

i*. 159

1..306

I.. 1.37

l>.66l)

I). 855 5.021 5.166

5.297 5.522

5.713

5.878

6.021.

6.151.

F.1.30 6.656

0.5991. 0.5727 0.5596

0.551.3 0.5581

0.5692

0.6032

0.61)00 0.6693

0.6898

0.7077

0.7220

0.7331.

0.71.25 0.71.99 0.7560 0.7672

0.7751

0.7811

0.7861

0.791.0 0.7999

0.901*2 0.8072

0.9101

0.8101

0.8095

0.8060

.8032

.7961 .7898

.781.5 .7802 .7767 0.7738

0.7691. 7663

761.0 7622

7608 7587

7573

7563

7555

751.9 0.7538

CP VELOCITY

OF SOUND -R FT/SEC

0.6612 2962.0

0.6371. 296i). 0.6292 2970.0 0.6328 2978.0

0.61*68 2987.0

0.6691. 2991). 0.7227 3003.0 0.7766 3003.0 0.8193 2999.0 0.8529 2996.0 0.9852 2995.0 0.9135 2993.0

0.9381. 2992-0 0.9606 2989.0 0.9807 2986.0 0.999 2963.0

1.01)0 2971). 1.075 2961). 1.106 2953.0

1.135 291)1.0

l.iei) 2920.0

1.221. 2903.0

1.251. 2891.0 1.277 2886.0

1.302 2892.0

1.310 2915.0 1.309 291)9.0 1.305 2990.0

1.298 3035.0

1.282 3157.0 1.269 3285.0

1.260 31>1I>. 1.253 351.2.0

1.21.9 3667.0

1.21.5 3791.0

1.21)1 1)030.0 1.239 1)260.0 1.238 1)1*80.0 1.237 1.692.0 1.237 1*896.0 1.237 5282.0 1.237 561*5.0 1.237 5987.0

1.239 6311.0

1.238 6620.0

1.238 7339.0

• THO-PHASE BOUNDARY
6000 PSIA ISOBAR

THEPMOPHYSICAL PROPERTIFS OF HELIUM l>

TEMPERATURE DENSITY

OEG. R LB/CU FT

V(DH/OV> V«OP/DU) -V(DP/OV)„

p v T

BTU/LB PSIA-CU FT/RTU PSIA

(OV/OT)/V THERHAL VISCOSITY

p CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

15.0 16.29 181.. 16.0 16.22 178.0

17.0 16.17 173.0

ie.o 16.11 169.0

19.0 16.01. 166.0

20.0 15.98 166.0

22.0 15.85 170.0

21.. 15.71 177.0

26.0 15.57 185.0

28.0 15.1.3 190.0 30.0 15.29 195.0

32.0 15.16 199.0

31.. 15.02 202.0

36.0 11.. 88 205.0

36.0 lit. 71. 208.0

1.0.0 l<t. 60 210.0

".5.0 l*. 25 216.0

50.0 13.91 221.0

55.0 13.59 226.0

60.0 13.25 230.0 70.0 12.61 21.0.0 80.0 12.00 21.9.0 90.0 11.1.3 260.0

100.0 10.90 270.0 120.0 9.91.3 293.0

11.0.0 9.127 318.0 160.0 8.1.31 31.3.0 180.0 7.833 368.0 200.0 7.316 391.. 250.0 6.285 1.57.0 300.0 5.516 520.0

350.0 1..918 582.0

1.00.0 1..1.38 61.1.. K50.0 1..01.5 705.0

500.0 3.716 766.0 600.0 3.197 888.0 700.0 2.805 1010.0

800.0 2.1.98 1130.0 900.0 2.252 1250.0

1000.0 2.050 1380.0 1200.0 1.737 1620.0

11.00.0 1.507 1870.0 1600.0 1.330 2110.0

1800. 1.191 2360.0 2000.0 1.078 2600.0

2500.0 0.8705 3220.0

8.85 8.59

8.31. 8.11

5.1.8 5.21. 5.05

it. 70

it.1.8 I..32

1..21

it. 12

it. 05 3.95

3.88 3.83

3.79

3.76 3.72

3.69

3.66

3.65 3.63

3.61

3.60

28000.0

27600.0

27300.0

27000.0

26700.0

26300.0

25700.0

25200.0

21.700.0

21.200.0 23700.0

23200.0 22700.0

22200.0

21700.0

21200.0

20100.0

19000.0

18000

17100 15600

11.300 13200

121.00 11200

101.00

9770.0

931.0. 9000.0

8i.00.fl 8000.0 7700.0

7it80.0 7310.0 7160.0

6950.0

6800.0

6680.0 6590.0

6520.0

61.20.0

631.0.0 6290.0 6250.0

6220.0

6160.0

6120.0

0.00360 0.0652 1.9.8 0.00358 0.0670 1.3.1 0.00361. 0.0685 37.9 0.00375 0.0699 33.7 0.00389 0.0709 30.3

0. 001.03 0.0717 27.1. 0.001.25 0.0729 23.0

0.001.38 0.0736 19.9

0.001.1.3 0.071.0 17.6

0.001.1.8 0.071.0 15.9

n, 001.51. 0.0739 lit.

5

0.001.60 0.0737 13.1.

0. 001.61* 0.0731. 12.6

0.001.68 0.0730 11.9

0.001.72 0.0725 11.3

0.001.75 0.0721 10.8

0. 001.82 0.0709 10.0

0. 001.87 0.0699 9.39

0.001.90 0.0687 9.00

0.001.93 0.0678 8.73

0.001.91. 0.0663 8.1.2 0.001.91 0.0653 8.29

0.001.83 0.061.6 8.26

0.001.72 0.061.3 8.29

C. 001.1.1. 0.061.1. 8.1.5 0.001.12 0.0651 8.68 0.00382 0.0661. 8.91. 0.00351. 0.0679 9.22

0.00330 0.0696 9.38

0.00280 0.071.3 10.1

0.0021.1. 0.0792 10.9 0.00216 0.081.0 11.6 0.00195 0.0887 12.3 0.00177 0.0933 13.0 0.00163 0.0976 13.7

0.0011.0 0.107 15.1 0.00123 0.116 16.6 0.00109 0.125 18.1 0.000997 0.135 19.6

C. 000899 0.11.1. 21.0 0.000763 0.162 23.7 0.000663 0.179 26.3 0.000586 0.195 28.8 0.000525 0.212 31.3

0.0001.75 0.227 33.7 0.000385 0.265 39.1. 0.000323 0.301 it it.

7

THERMAL DIELECTRIC PRANOTL

ilFFUSIVITY CONSTANT NUMBER

SQ FT/HR

C. 00606 1.01617 1.82

0.0061*8 1.01627 1.1.8 0.00671. 1.01639 1.25 0.00685 1.0161.8 1.10 0.00683 1.01659 0.991. 0.00672 1.01670 0.920 0.00637 1.01693 0.822 0.00603 1.01716 0.756 0.00580 1.01738 0.702 0.00563 1.01760 0.658

0.0051.6 1.01781 0.625 0.00532 1.01802 0.600 0.00521 1.01821 0.579 0.00511 1.0181.1 0.563 0.00502 1.01859 0.551

0.001.91. 1.01877 0.51.1

0.001.79 1.01918 0.526

0.001.67 1.01955 0.521

0.001.58 1.01987 0.521

0.001.51 1.02011. 0.526

O.OO1.1.1. 1.02057 0.51.1

. 00 1.1.1. 1.02085 0.560

0.001.51 1.02099 0.577

0.001.62 1.02102 0.593

0.001.97 1.02082 0.615

0.0051.5 1.0201.0 0.628 0.00601 1.01985 0.635

0.00661. 1.01925 0.637 0.00733 1.01863 0.630 0.00922 1.01711 0.629 0.0113 1.01571. 0-627 0.0136 1.011.53 0.626

0.0160 1. 0131.8 0.626 0.0195 1.01255 0.626 0.0211 1.01171. 0.627 0.0269 1.01038 0.633

0.0331. 1.00929 0.639

0.01.06 1.0081.0 0.61.1. 0.01.93 1.00767 0.61.7 0.0567 1.00705 0.650 0.0752 1.00606 0.651. 0.0959 1.00532 0.656 0.119 1.001.73 0.658

0.11.1. 1.001.26 0.659

0.170 1.00388 0.660

0.21.6 1.00316 0.661 0.333 1.00267 0.662

THO-PHASE BOUNOARY
7000 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM l|

TEMPERATURE 1/OLUME

DEG. R CU FT/L

16,,0 0.,05960

17.,0 0,,05980

18,,0 0,,05999

19..0 0,.06020

20,,0 ,0601.2

22,,0 0.,06088

21.,,0 0,,06137

26,, 0,.06187

28,,0 ,06238

30,.0 a,,06289

32,,0 0..0631.2

31*.,0 0,,06396

36,,0 0,,061.50 38,.0 0,.06506

1.0,.0 0..06562

1.5.,0 0.,06706

50,,0 0,,06851.

55..0 0..07006

60,,0 0,.07162

70,.0 0,,071.86

80,,0 0,,07825

90,.0 0,.08175

100,.0 0,.08536

120,,0 ,09281

11.0,.0 0,,1001.

160..0 0,,1082

180,.0 0,,1159

200,.0 0.,1236

250. 0.,11.28 300,.0 0,,1618

350,.0 0,,1807

1.00,,0 0,,1995

1.50. 0..2182

500,,0 0,,2369

eoo,,0 0,,271.2

700. 0. 3115

800,,0 0,.31.89 900,,0 0,,3863

1O00,,0 0,,1.238 1200. 0..1.988

11.00,,0 a,,571.0

16.0 0,,0 0.,61.92 1800,,0 0,,721.6 2000.,0 0,,8001

2500,,0 0,,9889

ISOTHERM

DERIVATIVE

CU FT-PSIA/LE

ISOCHORE INTERNAL DERIVATIVE ENERGY PSIA/R BTU/LB

1910, 1890.

1880, 1860.

1850,

1830,

1810,

1790,

1780, 1760.0

171.0.0 1720.0

1700.0

1690.0

1670.0

1630,

1580,

151.0, 1510,

11.1.0, 1390.

1350, 1320.

1290.

1280.

1300.0

1320.0

1360.0

11.50.0 1560.0

1680. 1790.0 1910.0 2030.0

2270.0

2510.0

2760.0 3010.0

3260.0

3770.0

1.280.0 1.800.0 5310.0

5830.0 7130.0

81.1.0.0

103.0 103.0

105.0

109. 112.0

117.0 119.0

118.0

117.0

116.0

115.0

111..0 113.0 111.0

110.0

105. 101.0 97.0 92.9

85.2 78.1

71.7

66.0

56.1.

1.8.9

1.2. 38.

31.. 27.

22.

19. 16.9

15.0

13.5

11.3

9.67

8.1.8 7.55

6.81 5.69

It. 89

if. 29 3.82

3.1.1. 2.76

2.30

16.67

17.02

17.35

17.80 18.25

19.23 20.3?

21.51. 22.69 23.72

21.. 81 25.93 27.09

28.28

29.50 32.66

35.91. 39.32

1.2.80 50.00

57.1.6 65.11

72.92

88.83

101..

9

121.1

137.2

153.3

193.1

232.1. 271.3

309.9

31.8.2 386.1. 1.62.3

537.

613, 688,

763, 913. 1063,

1213,

1363. 1512,

1886,

BTU/LB 93.93

91.. 53 95.11 95.83

96.56

98.11. 99.9

101.7 103.5

105.2

107.0

108.8

110.7 112.6

111..

6

119.6

121.. 8 130.1 135.6

11.7.0 158.9

171.1

183.6

209.1 235.1

261.3

287.1, 713.5

378.2

1.1.2.1 505.5

56 8.1. 631.0

693.1. 817.7

91.1, 1065, 1189,

1313, 1560,

1807, 2055.

2302.

251.9, 7168.

1.915 5291 5639

6031

61.16 7182 7950

8713 9387

998 1.055

1.110 1.163

1.215

1.265

383

1.92 595

690 866

021. 168 299 2.532

2.733

2.907 3.061

3.199

7.1.87 3.720 3.916

1..081. 1..231

1..363 1..589

1..780 U.9I.6 5.091 5.222

5.1.1.7 5.638

5.803

5.91.8 6.079

6.355

6.581

0.5736

0.51.78 0.5355

0.5356

0.51.57 0.5825

0.621.6 0.6586

0.6811. 0.7006

0.7160 0.7285

0.7385

0.71.67 0.7535

0.7662

0.7751

0.7821

0.7879 0.7973

0.801.1. 0.8098 0.8137

0.8178

0.8185

8172

811.9 8120

,801.3 ,7973

7911.

7861.

7821. 7790

,7739 0.7702

0.7671. 0.7653 0.7636

0.7612 0.7595

0.7583

0.7571. C.7566

0.7553

0.751. It

CP VELOCITY

OF SOUND

-R FT/SEC

0.6317 3121.0 0.6108 3128.0 0.6058 3138.0

0.61611 3152.0

0.637it 316it.O 0.6953 3179.0

0.75it8 3183.0 0.8018 3181.0 0.8368 3180.0

0.8691. 3180.0

0.897 8 3180.0 0.9227 3179.0

0.9itit8 3178.0

0.96It7 3177.0 0.9828 3175.0 1.022 3169.0 1.057 3162.0

1.087 3152.0 1.115 311.2.0 1.163 3120.0

1.20it 3100.0 1.236 3081.. 1.261 3071,. 1.292 3068.0 1.306 3079.0 1.309 3103.0

1.306 3135.0

1.301 3173.0

1.286 3282.0

1.272 3399.0

1.262 3518.0 1.255 3638.0

1.250 3757.0

1.21.6 3875.0

1.21.1 1.105.0

1.238 1.327.0 1.237 1.51.1.0 1.237 <|7I.7.0 1.236 1.91.6.0 1.236 5326.0

1.236 5683.0

1.237 6020.0

1.237 631.1.0 1.237 661.7.0 1.238 7360.0

1.238 8011.0

TWO-PHASE BOUNOARY
7000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM <t

TEMPERATURE DENSITY

DEG. R LB/CU FT

16.0 16.78

17.0 16.72

18.0 16.67

19.0 16.61

20.0 16.55

22.0 16.43

2 "i.O 16.29

26.0 16.16

28.0 16.03

30.0 15.90

32.0 15.77

3"t.O 15.64

36.0 15.50

38.0 15.37

40.0 15.24

i*5.

a

14.91 50.0 14.59

55.0 14.27

60.0 13.96

70-0 13.36

80.0 12.78

90.0 12.23

100.0 11.71

120.0 10.77

11.0.0 9.96

160.0 9.246

180.0 8.629

200.0 8.089

250.0 7.002

300.0 6.180

350.0 5-535

400.0 5.014

450.0 4.584

500.0 4.222

600.0 3.647

700.0 3.210

800.0 2.866

900.0 2.589

iaoo.0 2.360 1200.0 2.005

1400.0 1.742 1600.0 1.540

1800.0 1.380 2000.0 1.250 2500.0 1.011

IMOH/DV) V(DP/OU> -V(DP/DV)„

p v T

BTU/LB PSIA-CU FT/BTU PSIA

197.0

188.0

181.0

176.0 174.0

179.0

188.0

197.0

204.0

209.0 214.0

218.0 222.0

225.0 228.0

235.0

241.0

247.0

252.0

263.0 273.0

284.0

294.0

317.0 341.0

366.0

391.0 417.0

481.0

544.0 606-0

668.0

729.0

790.0

912.0

(DV/OTI/V THERMAL VISCOSITY

P CONDUCTIVITY l/DEC R BTU/FT-HR-R LB/FT-SEC

X 10E*6

1030.

1150. 1280.

1400.

1640.

1890.

2130. 2380,

2620.

3240.

10.7 32000,,0 11.2 31700.,0 11.8 31300,.0 12.2 31000,,0 12.4 30600,.0 12.2 30000,,0 11.7 29500,,0 11.1 29000,,0 10.7 28500,,0 10.4 28000,,0 10.2 27500,,0 10.0 26900,.0 9.84 26400.,0 9.68 25900,,0 9.54 25400.,0 9.23 24200.,0 8.95 23100,,0 8.69 22000,,0 8.45 21000,,0 8.00 19200.,0 7.60 17700,,0 7.24 16500,,0 6.93 15400,,0 6.41 13900,,0 6.00 12800,,0 5.68 12000,,0 5.42 11400. 5.21 11000,,0 4.84 10200,,0 4.58 9660.,0 4.41 9270.,0 4.28 8980,,0 4.18 8750,,0 4.10 R560,,0 3.99 8270.

3.91 8070,,0 3.86 7910.,0 3.81 7790. 3.78 7700.,0 3.73 7560,,0 3.70 7460.,0 3.67 7390.,0 3.65 7330.,0 3.64 7290.,0 3.61 7210,,0

0.00321 0.0738 60.7 0.00325 0.0754 5?.? 0.00335 0.0769 45.7 0.00351 0.0780 40.5 0.00366 0.0789 36.? 0.00369 0.0802 29.7 0.00402 0.0808 25.2 0.00407 0.0811 21.8 0.00411 0.0811 19.4 0.00416 0.0810 17.5 0.00420 0.0806 16.0 0.00423 0.0802 14.8 0.00426 0.0797 13.9 0.00429 U.0791 13.1 0.00431 0.0786 12.5 0.00435 0.0772 11.3 0.00438 0.0758 10.5 0.00440 0.0746 9.95 0.00442 0.0735 9.57 0.00443 0.0718 9.13

0.00441 0.0705 8.91

C. 00436 0.0697 8.82 0.00428 0.0692 8.81 0.00407 0.0689 8.91 0.00383 0.0694 9.09 0.00357 0.0704 9.32

0.00334 0.0717 9.57

0.00712 0.0732 9.71

0.00267 0.0776 10.4 0.00234 0.0821 11.1 0.00208 0.0867 11.8 0.00188 0.0912 12.5 0.00171 0.0955 13.1 0.00158 0.100 13.8 0.00136 0.108 15.2 0.00120 0.118 16.7 0.00107 0.127 18.2 0.000969 0.136 19.6 0.000884 0.145 21.0 0.000753 0.16? 23.8 0.000655 0.179 26.4 0.000580 0.196 28.9 0.000520 0.212 31.3 0.000472 0.228 33.7

C. 00038? 0.266 79.4

C. 000321 0.30? 44.8

THERMAL DIELECTRIC PRANOTL OIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.00696 1.01521 1.86 0.00739 1.01532 1.52 0.00761 1.01543 1.30 0.00762 1.01554 1.15 0.00748 1.01566 1.05 0.00702 1.01590 0.928 0.00657 1.01614 0.846 0.00626 1.01638 0.777 0.00605 1.01661 0.719 0.00586 1.01684 0.676 0.00569 1.01706 0.642 0.00556 1.01728 0.614 0.00544 1.01749 0.592 0.00534 1.01770 0.575 0.00525 1.01789 0.561 0.00506 1.01836 0.537 0.00492 1.01878 0.526 0.00481 1.01916 0.522 0.00472 1.01949 0.523 0.00462 1.02005 0.533 0.00458 1.02047 0.548 0.00461 1.02076 0.563 0.00468 1.02093 0.578 0.00495 1.02101 0.601 0.00534 1.02062 0.616 0.00582 1.02047 0.624 0.00636 1.0200? 0.628 0.00696 1.01952 0.621 0.00862 1.01821 0.621 0.0104 1.01694 0.620 0.0124 1.01578 0.619 0.0145 1.01474 0.619 0.0167 1.01381 0.619 0.0189 1.01297 0.620 0.0239 1.01156 0.627 0.0296 1.01041 0.634 0.0357 1.00946 0.640 0.0424 1.00867 0.644 0.0496 1.00799 0.647 0.0655 1.00691 0.651 0.0833 1.00608 0.654 0.103 1.00543 0.656 0.124 1.00490 0.658 0.147 1.00446 0.659

0.212 1.00365 0.660 0.287 1.00309 0.661

TWO-PHASE BOUNDARY
8000 PSIA ISOBAR THERMODYNAMIC PROPERTIES OF HELIUM 4

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

CU FT/LB CU FT-PSIA/LB

ISOCHORE INTERNAL DERIVATIVE ENERGY PSIA/R BTU/LB

18,,0 0,.05822

19 ,0 .0581.0

30,,0 0,,05860

22,,0 ,05901

24..0 0,.0591.6

26,,0 ,05991

26,,0 0,,06037

30,,0 ,06081.

32..0 0,,06131

34,,0 0,,06179

36,,0 0,,06228

38,,0 0,,06277

<f0,,0 0,,06327

45,,0 0,,06<*55 50,,0 0.,06586

55. 0,,06720

60,,0 0,,06857

70,,0 0,,07139

80.,0 0,,071.33 90,,0 0,,07736

100,,0 0,,0801.7 120,,0 0,,08691

140,,0 0,,09352

160.,0 0,,1002

180.,0 0,,1070

200.,0 0,,1137

250..0 0,.1305

300.,0 0.,11.71 350,,0 0,,1636

1.00,,0 0,,1800

1.50..0 0.,1963

500.,0 0,,2126

600. 0.,21.52

700.,0 0,,2777

800.,0 0,,3103

900,,0 0,,31.29 1000.,0 0.,3756

1200.,0 0.,1.1.10 11.00.,0 0.,5066

1600.,0 0.,5723

1800.,0 0,,6381

2000.,0 0,,701.0 2500,,0 0,,8689

2070. 2060.

201.0. 2020.

2010. 1990. 1980.0 1960.0

191.0.0

1930.0

1910.0

1890.0

1870.0 1830.0

1790.0

1750.0 1710.0

161.0.0 1580.0

151.0.0 1500.0

11.50.0

11.1.0.0

11.1.0.0 11.60.0 11.80.0 1570.0

1680

1780

1900 2010

2130

2360 2600.0 2850.0 3090.0

3340.0

3850.0

4350.0

1.870.0 5380.0 5890.0

7190.0

81.90.0

107.0

112.0

117.0

121.. 127.0

126.0

125.0

125.0

121.. o 122.0

121.0

119.0 118.0

114.0

109.0

105.0

101.0 92.9

85.6

79.0 73.0 62.9

51.. 7

1.8.2

1.3.0 38.7

30.8 25.6

21.9

19.1

17.0 15.3

12.8

11.0

9.61. 8.59

7.75

6.1.8 5.57

1..88

it. 35 3.92

3.11. 2.62

19.17

19.58

20.00

20.90

21.93

23.10

21.. 21 25.20

26.21. 27.32

28.1.1. 29.60 30.78

33.85

37.01.

1.0.35

1.3.75 50.81

58.11. 65.69

73.1.1 89.19

105.2

121.1. 137.5

153.6

193.6

233.1

272.2 310.9

31.9. ". 387.7

1.63.8

539,

611., 690,

765, 915,

1065, 1215.

1365. 1515.

1889.

ENTHALPY BTU/LB

105.1. 106.1 106.8

108.3

110.0 111.9

113.6

115.3

117.1 118.9

120.7 122.6

121..

5

129.5

131..

6

139.9

11.5.3 156.6

168.2

180.3 192.6

217.9

21.3.8 269.9

296.0 322.1 386.9

1.51.0

511..

5

577.5

61.0.2 702.6

826.9

ENTROPY

BTU/LB-R

950 1075 1198

1322 1569

1816

2063

2310.0 2558.0

3176.0

3795.0

.5288

.5661 .6027

.6761. .7515

.8269 0.8938

0.9518

1.008

1.062 1.115

1.166

1.215

1.332

1.1.1.0 1.51.1 1.636 1.809

1.965 2.106

2.236

2.1.67 2.666

2.81.0 2.991. 3.132

7.1.21 3.655 3.851 4.019

4.167 4.298

4.525

I.. 716

4. 881 5.027

5.157 5.382

5.573

5.738 5.883

6.013

6.289 6.515

0.5175

0.5135

0.5221. 0.5622

0.6098

0.61.88 0.6739

0.691.2 0.7107

0.7240 0.7349

0.7438 0.7512 0.7651

0.7752

0.7830 0.7896

0.8003

0.8086

0.8150 0.8197

0.8250 0.8265

0.8256 0.8234

0.8205 0.8124

0.8048 0.7982

0.7927

0.7881 0.7843

0.7784

0.7741 0.7709

0.7685

0.7665

0.7637 0.7617

0.7603 0.7592

0.7584

0.7568

0.7558

CP VELOCITY

OF SOUNO

-R FT/SEC

0.5805 3282.0 0.5872 3301.0 0.6076 3318.0 0.6694 3341.0 0.7351 3349.0 0.7872 3348.0 0.8238 3348.0 0.8568 3349.0 0.8856 3350.0

0.9107 3351.0 0.9329 3351.0

0.9528 3351.0

0.9708 3350.0

1.010 3347.0

1.043 3341.0 1.073 3333.0

1.100 3324.0

1.147 3303.0 1.187 3282.0

1.220 3263.0 1.246 3249.0

1.282 3233.0 1.300 3234.0

1.307 3249.0 1.307 3273.0 1.303 3305.0 1.289 3400.0

1.275 3507.0 1.265 3618.0 1.257 3731.0

1.251 3844.0 1.246 3956.0

1.241 4177.0

1.238 4391.0 1.237 4599.0 1.236 4801.0 1.235 4996.0

1.235 5368.0 1.236 5720.0 1.236 6053.0

1.236 6370.0

1.237 6673.0

1.237 7380.0

TWO-PHASE BOUNDARY
8000 PSIA ISOBAR

THERMOPHYSICAL PROPFRTIFS OF HELIUM <t

TEMPERATURE DENSITY

DEG. R LB/CU FT

V(DH/OV> VIOP/DU) -VIOP/OV)

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(OV/DT1/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E+6

ie.o 17.18 192.0

19.0 17.12 184.0

20.0 17.07 181.0

22.0 16.95 186.0

24.0 16.82 196.0

26.0 16.69 207.0

28.0 16.56 216.0

30.0 16. 1.1. 222.0

32.0 16.31 227.0

3".. 16.18 2 32.0 36.0 16.06 237.0

38.0 15.93 21.0.0

i.0.0 15.80 2 44-0

1.5.0 15.1.9 252.0

50.0 15.18 259.0

55.0 14.88 266.0

60.0 11.. 58 272.0 70.0 14.01 28it. 80.0 13.1.5 296.0

90.0 12.93 307.0

100.0 12.1.3 318.0

120.0 11.51 341.0 mo.o 10.69 364.0

160.0 9.98 389.0

180.0 9.31.8 414.0

200.0 8.791. 440.0

250.0 7.663 504.0

300.0 6.798 567.0

350.0 6.113 630.0

1.00.0 5.556 691.0

1.50.0 5.091. 753.0

500.0 4.704 814.0

600.0 4.079 935.0

700.0 3.601 1060.0

800.0 3.223 1180.0

90O.0 2.916 1300.0

1000.0 2.663 1420.0

1200.0 2.267 1660.0

11.00.0 1.971. 1910.0

1600.0 1.71.7 2150.0

1800.0 1.567 2400.0

2000.0 1.I.Z0 2640.0

2500.0 1.151 3260.0

3000.0 0.96 7 3870.0

12.,1 35600,.0 12.,8 35200..0 13,,1 34900,,0 13,,0 34300,.0 12,,3 33800,,0 11,,7 33300,,0 11,,2 32800,,0 10,.9 32200,,0 10,,7 31700,,0

10,,4 31200,,0 10,,2 30700,.0 1C,,1 30100,,0

9,,92 29600,,0

9,,58 28400,,0

9,,29 27200,,0

9,,01 26100,,0

8,,76 25000,,0

8,,29 23000,,0

7,,87 21300,,0 7,,50 19900.,0

7,,17 18600,,0

6,,62 16700,,0 6,,20 15300,,

5,,86 14400,,0 5,,58 13600,,0 5,,36 13100,,0

4,,95 12100,,0 4,,68 11400,,0

4,,49 10900,,0 4,,35 10500,,0

4,,24 10200,,0

4,,15 10000,.0 4,,03 9640,,0

3,,94 9370,,0 3. 88 9180,. 3,,83 9020,,0 3,,80 8900.,0 3,,74 8720,,0

3. 70 8590,,0 3,,68 8500,,0 3, 66 8430,,0 T 64 8370,,0 3,,61 6280.

0.00302

0.00319

0.00335

0.00361 0.00375

0.00380 0.00382 0.00386

0.00390 0.00392 0.00394

0.00396

0. 00398 0.00400 0.00402

0.00403 0.00404

0.00404

0.00402

0.00398

0.00392 0.00376

0.00357

00376

00315 00296

00256

00225

201 00182

00166 00153 00133 0.00117

0.00105 0.000952

0.000870

C. 000743 0.000648 0.000574

0.000516

0.000468

0.000380

0.000320

0.0839

0.0852

0.0862 0.0874

0.0881

0.0883

0.0862 0.0879

0.0874

0.0869

0.0862

0.0856 0.0849

.0832

.0817

.0803

.0790

,0770 .0755 .0745 .0738 0.0733

0.0735 0.0743

0.0754

0.0768 0.0608

0.0850 0.0894 0.0935

0.0977

0.102

0.110 0.119

0.128

0.137 0.146

0.163

0.180

0.197 0.213 0.229

0.266

0.302

61.3

53.6 47.4

38.0 71.5 26.9

23.5 20.9

18.9

17.3 16.1

15.0 14.2

12.6

11.6

10.9

10.4 9.83

9.52 9.37

9.32

9.36

9.50

16.6

18.3 19.7

21.1

23.8 26.4

28.9 31.4

33.7

39.4

44.8

THERMAL DIELECTRIC PRANDTL DIFFUSIVITY CONSTANT NUMBER

SO. FT/HR

0.00842 1.01439 1.53 0.00847 1.01450 1.33 0.00831 1.01462 1.20 0.00771 1.01487 1.05 0.00712 1.01513 0.947 0.006^2 1.01538 0.863 0.00646 1.01563 0.789 0.00624 1.01587 0.734 0.00605 1.01611 0.689 0.00589 1.01634 0.654 0.00576 1.01657 0.625 0.00564 1.01679 0.603 0.00553 1.01700 0.584 0.00532 1.01751 0.552 0.00516 1.01797 0.534 0.00503 1.01840 0.526 0.00493 1.01878 0.523 0.00479 1.01945 0.528 0.00473 1.01997 0.539 0.00472 1.02033 0.553 0.00476 1.02067 0.567 0.00497 1.02097 0.589 0.00529 1.02100 0.605 0.00570 1.02083 0.614 0.00616 1.02053 0.619

0. 00670 1.02016 0.613 0.00818 1.01906 0.614 0.00981 1.01791 0.613 0.0116 1.01682 0.612 0.0134 1.01582 0.612 0.0153 1.01490 0.612 0.0173 1.01407 0.614 0.0217 1.01263 0.621 0.0267 1.01144 0.630 0.0321 1.01045 0.636

0.0380 1.00960 0.640 0.0443 1.00888 0.644 0.0587 1.00771 0.649 0.0739 1.00681 0.652

0.0911 1.00610 0.654

0.110 1.00551 0.656

0.130 1.00503 0.658 0.187 1.00413 0.660

0.252 1.00350 0.661

TWO-PHASE BOUNDARY
THERMODYNAMIC PROPERTIES OF HELIUM 4 9000 PSIA ISOBAR

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

ISOCHORE DERIVATIVE

INTERNAL

ENERGY ENTHALPY ENTROPY CV CP VELOCITY

OF SOUNO

DEG. R CU FT/LB CU FT-PSIA/LB PSIA/R BTU/LB BTU/LB BTU/LB-R BTU ' LB -R FT/SEC

19.0 0.05686 2240.0 115.0 21.39 116.1 0.5333 0.4914 U.5582 3436.0

20.0 0.05703 2230.0 121.0 21.77 116.8 0.5681 0.4990 0.5778 3459.0

22.0 0.05741 2210.0 130.0 22.58 118.3 0.6387 0.5417 0.6439 3489.0

24.0 0.05782 2200.0 134.0 23.55 119.9 O.7120 0.5952 0.7164 3502.0

26.0 0.05824 2190.0 134.0 24.68 121.7 0.7866 0.6396 0.7741 3504.0

28.0 0.05867 2180.0 133.0 25.74 123.5 0.8530 0.6672 0.8128 3504.0

30.0 0.05909 2160.0 133.0 26.70 125.2 0.9102 0.6885 0.8464 3506.0

32.0 0.05952 2140.0 132.0 27.70 126.9 0.9658 0.7058 0.8756 3507.0

3«t.O 0. 05996 2120.0 130.0 28.74 128.7 1.020 0.7200 0.9011 3509.0

36.0 0.06041 2110.0 129.0 29.83 130.5 1.072 0.7316 0.9235 3510.0

36.0 0.06085 2090.0 127.0 30.95 132.4 1.122 0.7411 0.9435 3510.0

1.0.0 0.06131 2070.0 126.0 32.10 134.3 1.171 0.7491 0.9615 3511.0

45.0 0.06246 2030.0 121.0 35.08 139.2 1.287 0.7643 1.000 3509.0

50.0 0.06364 1990.0 117.0 38.20 144.3 1.394 0.7753 1.033 3506.0

55.0 0.06484 1950.0 113.0 41.44 149.5 1.494 0.7839 1.062 3499.0

60.0 0.06607 1910.0 108.0 44.78 154.9 1.587 0.7912 1.088 3491.0

70.0 0.06858 1840.0 100.0 51.71 166.0 1.759 0.8032 1.135 3472.0

60.0 0.07118 1780.0 92.6 58.93 177.6 1.913 0.8126 1.174 3450.0

90.0 0.07385 1720.0 85.7 66.39 189.5 2.053 0.8199 1.207 3430.0

100.0 0.07659 1680.0 79.5 74.03 201.7 2.182 0.8254 1.234 3412.0

120.0 0.08225 1620.0 68.9 89.69 226.8 2.410 0.8320 1.272 3389.0

140.0 0.08807 1590.0 60.3 105.7 252.5 2.608 0.8342 1.294 3361.0

160.0 0-09399 1580.0 53.3 121.8 278.5 2.782 0.8338 1.304 3388.0

180.0 0.1000 1590.0 47.6 138.0 304.6 2.936 0.8317 1.306 3405.0

200.0 0.1059 1610.0 43.0 154.1 330.7 3.073 0.8289 1.304 3430.0 250.0 0.1208 1690.0 34.3 194.2 395.6 3.363 0.8204 1.292 3512.0

300.0 0.1356 1790.0 28.6 233.9 459.8 3.597 0.8122 1.278 3610.0

350.0 0.1502 1890.0 24.4 273.1 523.5 3.793 0.8050 1.267 3714.0

liOO.O 0.1647 2000.0 21.4 312.0 586.6 3.962 0.7989 1.258 3820.0

450.0 0.1792 2110.0 19.0 350.6 649.3 4.110 0.7939 1.252 3927.0

500.0 0.1937 2220.0 17.1 389.0 711.8 4.241 0.7896 1.247 4034.0

600.0 0.2225 2460.0 14.3 465.3 836.2 4.468 0.7830 1.241 4246.0 700.0 0.2513 2690.0 12.3 541.2 960.1 4.659 0.7781 1.238 4454.0

800.0 0.2802 2930.0 10.8 616.8 1084.0 4.824 0.7745 1.236 4656.0

900.0 0.3091 3180.0 9.61 692.1 1207.0 4.970 0.7717 1.235 4852.0

1000.0 0.3380 3420.0 8.67 767.4 1331.0 5.100 0.7695 1.235 5043.0

1200.0 0.3960 3920.0 7.26 917.6 1578.0 5.325 0.7662 1.235 5409.0

1400.0 0.4542 4420.0 6.24 1068.0 1825.0 5.515 0.7640 1.235 5755.0

leoo.o 0.5125 4930.0 5.48 1218.0 2072.0 5.680 0.7623 1.235 6084.0

1800.0 0.5708 5440.0 4.88 1367.0 2319.0 5.826 0.7611 1.236 6398.0

2000. 0.6292 5960.0 4.40 1517.0 2566.0 5.956 0.7601 1.236 6698.0

2500.0 0.7756 7250.0 3.53 1892.0 3184.0 6.232 0.7584 1.237 7399.0

3000.0 0.9222 8540.0 2.9S 2266.0 3803.0 6.457 0.7572 1.237 8042.0

TWO-PHASE BOUNDARY
THERMOPHYSICAL PROPERTIES OF HELIUM *

TEMPERATURE DENSITY

OEG. R LB/CU FT

9000 PSIA ISOBAR

VIOH/DV)

P V ~-T

BTU/LB PSIA-CU FT/BTU PSIA

<OV/DT)/V THERMAL

p CONDUCTIVITY

BTU/FT-HR-R LB/FT-SEC

X 10E + 6

THERMAL DIELECTRIC

DIFFUSIVITY CONSTANT

SQ FT/HR

PRANDTL NUMBER

19.0 17.59 192.0 13.3 39500.0 0.00291 0.092* 70.5 0.009*1 1.013*7 1.53

20.0 17.53 187.0 13.8 39100.0 0.00309 0.093* 61.5 0.00922 1.01359 1.37

22.0 17. *2 191.0 13.7 38500.0 0.00337 0.09*7 1.8.2 0.008*5 1.01386 1.18

2<t.O 17.29 203.0 13.0 38000.0 0.00352 0.0953 39.2 0.00769 1.01*13 1.06

26.0 17.17 217-0 12.2 37600.0 0.00357 0.095* 32.8 0.00717 1.01**0 0.959

26.0 17.05 226.0 11.7 37100.0 0.00359 0.0952 28.2 0.00687 1.01*66 0.868

30.0 16.92 233.0 11.* 36500.0 0.00363 0.09*7 2*. 8 0.00661 1.01*92 0.798

32.0 16.80 239.0 11.1 36000.0 0.00366 0.09*1 22.2 0.006*0 1.01517 0.7*3

31.. 16.68 2*5.0 10.9 36*00.0 0.00368 0.0935 20.1 0.00622 1.015*1 0.698

36.0 16.55 250.0 10.6 3*900.0 0.00370 0.0927 18.5 0.00606 1.01565 0.663

38.0 16. *3 25*. 10.5 3*300.0 0.00371 0.0919 17.2 0.00593 1.01588 0.63*

<>0.0 16.31 259.0 10.3 33800.0 0.00372 0-0911 16.1 0.00581 1.01611 0.611

1.5.0 16.01 268.0 9.92 32500.0 0.00373 0.0892 l*.l 0.00557 1.01665 0.570

50.0 15.71 276.0 9.60 31300.0 0.0037* 0.087* 12.8 0.00538 1.01715 0.5*6

55.0 15. *2 28*. 9.31 30100.0 0.0037* 0.0857 11.9 0.00523 1.01762 0.532

60.0 15.1* 291.0 9.0* 29000.0 0.0037* 0.08*3 11.3 0.00512 1.0180* 0.526

70.0 1*.5S 30*. 8.55 26900.0 0.00373 0.0820 10.5 0.00*95 1.01879 0.525

80.0 1*.05 317.0 8.11 25000.0 0.00370 0.0803 10.1 0.00*87 1.019*0 0.53*

90.0 13.5* 329.0 7.72 23*00.0 0.00367 0.0791 9.92 0.00*8* 1.01990 0.5*5

100.0 13.06 3*1.0 7.38 21900.0 0.00362 0.0783 9.81 0.00*86 1.02029 0.557

120.0 12.16 36*. 6.81 19700.0 0.00350 0.0775 9.79 0.00501 1.02079 0.579

H.0.0 11.35 388.0 6.37 18100.0 0.0033* 0.0775 9.89 0.00528 1.02100 0.595

160.0 10.6* *12.0 6.01 16900.0 0.00316 0.0781 10.1 0.00563 1.02099 0.60*

180.0 10.00 *37.0 5.73 15900.0 0.00299 0.0791 10.3 0.00605 1.0208* 0.610

200.0 9.**0 1.62.0 5.*9 15200.0 0.00282 0.0803 10.3 0.00652 1.02058 0.605

250.0 8.277 526.0 5.06 1*000.0 0.002*5 0.0839 10.9 0.00785 1.01971 0.607

300.0 7.376 590.0 *.77 13200.0 0.00217 0.0879 11.6 0.00932 1.01870 0.606

350.0 6.657 653.0 *.56 12600.0 0.0019* 0.0920 12.2 0.0109 1.01770 0.605

1.00.0 6.070 715.0 *.*1 12100.0 0.00176 0.0960 12.8 0.0126 1.01675 0.605

1)50.0 5.580 776.0 *.29 11800.0 0.00161 0.100 13.* 0.01*3 1.01586 0.606

500.0 5.163 837.0 *.20 11500.0 0.001*9 0.10* 1*.0 0.0161 1.0150* 0.607

600.0 *.*9* 958.0 *.06 11000.0 0.00130 0.112 15.* 0.0200 1.01360 0.616

700.0 3.979 1080.0 3.97 10700.0 0.00115 0.120 16.9 0.02*5 1.01239 0.625

800.0 3.569 1200.0 3.90 10500.0 0.00103 0.129 18.* 0.0293 1.01136 0.632

900.0 3.235 1320.0 3.85 10300.0 0.000936 0.138 19.8 0.03*6 1.010*8 0.637

1000.0 2.958 1**0.0 3.81 10100.0 0.000857 0.1*7 21.2 0.0*02 1.00972 0.6*1

1200.0 2.525 1680.0 3.75 9900.0 0.000733 0.16* 23.9 0-^0527 1.008*8 0.6*6

1*00.0 2.202 1930.0 3.71 97*0.0 0.0006*1 0.181 26.5 0.0666 1.00751 0.650

1600.0 1.951 2170.0 3.68 9620.0 0.000569 0.197 29.0 0.0819 1.0067* 0.653

1800.0 1.752 2*20.0 3.66 9530.0 0.000512 0.213 31.* 0.0986 1.00611 0.655

2000.0 1.589 2660.0 3.6* 9*60.0 0.000*65 0.229 33.8 0.117 1.00559 0.656

2500.0 1.289 3270.0 3.61 93*0.0 0.000378 0.267 39.5 0.167 1.00*60 0.659

3000.0 1.08* 3890.0 3.59 9260.0 0.000318 0.302 **.B 0.225 1.00390 0.660

* TMO-PHASE BOUNDARY
100 PSIA ISOBAR THERMODYNAMIC PROPFRTIES OF HELIUM it

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

CU FT/LB CU FT-PSIA/Le

20 05566

22 05601

21. 0561.0 26 .05680

28 ,05719

30 05758

32 05798

3 It .05838

36 05879

38 05920

<t0 05962

1.5 06068

50. 06176

55 06285

60 06396

70 06623

80 06857

90 07097

100 0731.2 120 0781.7

11.0 08366

160 08895

180 091.29 200 0996

250 1130

300 1263

350 1391.

1.00 1525

450 1655

500 1785

600 201.3

70 2302

800 2561

900 2820

1OO0. 0. 3080

1200 3600

11.00. 1.122 1600. 1.61.5 1800. 5169

2000 5691. 2500 7038

21.10. 2390- 2390.

2380.

2370.

2350. 2330.0 2310.0

2300.0

2280.0 2260.0

2220.0

2160.0 2150.0

2110

201.0 1970 1910

1860 1790

1750

1730.

1730.

171.0. 1810.

1900. 2000.

2100. 2210.0 2320.0

2550.0

2780, 3020.

3260.

3500.

3990,

1.1.90. 5000.

5500. 6020,

ISOCHORE OERIVATTVE

PSIA/R

123.0

135.0

11.1. 11.2.0 Htl.

11.0, 139.

138. 137,

135, 133.0

129.0

121.. 120. 115.0

107.0 99.1 92.1

85.7

71..

6

65.6

58.2

52.1

1.7.1 37. 8 31 . it 26.9

23.6

21. 18.9 15.8

13.6 11.9

10.6 9.59

8.03

6.91 6.06

5.1.0

if. 87 3.91 3.27

INTERNAL

ENERGY

BTU/LB

23.55

21.. 28 25.18

26.26 27.29

28.21 29.17

30.18

31.21. 32.32

33.1.1. 36.36

39.1.1 1.2.58

1.5.86 52.69

59.81 67.18

71.. 75

90. 31 106.2

ENTHALPY

BTU/LB

122,

1*8,

151., 19U,

231.,

271.. 313.

351,

390,

1.66.

51.2.9 618.6

691..

1

769.1. 919.6

1070.0

1220.0

1370.0

1520.0

1891.. 2269.0

126.6

128.0 129.6

131.1. 133.2

131..

8

136.5

138.3

11.0.1

11.2.0

11.3.8

11.8.7 153.8

159.0

161..

3

175.3

186.8 198.6

210.7 235.6

261.1

287.0

313.1

339.2

1.01..

2

1.68.6 532.3

595.6

658.1. 720.9

81.5.3

969 1093

1216

131.0 1586 1833 2080.0

2327.0

2571.. 3192.0

3811.0

ENTROPY BTU/LB-R

0.5369

0. 6Qi.it 0.6757

.71.96 .8155 .8721

.9271

.9805

.032

.082 1.131

1.21.5 1.352

l.lt51

1.51.1. 1.711. 1.867 2.006

2.133

2.360 2.557

2.730 2.863 3.021

3.311

3.51.6

3.71,2 3.911

1..059

I.. 191

1..I.18

1..609

i..77it

it. 919

5.01.9 5.271.

5.1.61. 5.629

5.775

5.905

6.181

6.1.06

0.1.751 0.5210 0.5807

0.6309

0.6611

0.6832

0.7011.

0.7161. 0.7286

0.7388

0.71.73 0.7636

0.7755

0.781.9 0.7929

8060

8161.

821.6 8309

8386

81.16

O.8I1I6 0.8398

0.8370 0.8282 0.8195

0.8118

0.8052

0.7996

0.79lt9 0.7875

.7821

.7781

.771.9 .7721. .7688 .7662

.761.1. .7630 0.7619

0.7599

CP VELOCITY

OF SOUND

-R FT/SEC

0.51.75 3587.0

0.6180 3627.0 0.6979 361.5.0 0.7619 36lt9.0 0.8030 3651.0 0.8373 3653.0 0.8671 3651t.O 0.8930 3656.0

0.9158 3658.0 0.9360 3659.0

0.951.2 3660.0 0.9930 3660.0

1.026 3658.0

1.051. 3653.0

1.080 361.6.0 1.125 3628.0

1. 161. 3607.0 1.197 3585.0

1.22it 3566.0

1.26* 3536.0 1.288 3521.0

1.300 3520.0 1.305 3530.0 1.305 35it9.0

1.29lt 3620.0

1.281 3708.0

1.269 3805.0

1.260 3905.0

1.253 it007.0

1.2iiB 1.110.0

1.21.1 i|31it.O

1.237 it51it.O 1.235 1.711.0

1.231. it903.0

1.231. 5089.0

1.231. 51.1*6.0 1.231. 5790.0 1.235 6115.0 1.235 6*25.0

1.236 6722.0

1.236 71.17.0 0.7586

TWO-PHASE BOUNDARY
10000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM It

TEMPERATURE DENSITY

OES. R L8/CU FT

V(DH/DV> VIDP/OU) -VIOP/OVL

p v T

BTU/LB PSIA-CU FT/BTU PSIA

(DV/DTI/V THERMAL VISCOSITY

P CONDUCTIVITY

1/OEG. R BTU/FT-HR-R L8/FT-SEC

X 10E+6

20.0 17 97 22.0 17 85 24.0 17 .73 26.0 17 61 28.0 17 it9 30.0 17 37 32.0 17 25 34.0 17 13 36.0 17 01 36.0 16 89

<»0.0 16 77

45.0 16 <t8 50.0 16 19 55.0 15 91 60.0 15 63 70.0 15 10 80.0 lit 58 90.0 lit 09 100. 13 62 120.0 12 74

11.0.0 11 95 160.0 11 2 it 180.0 10 61 200.0 10 Oit 250.0 8 81.8 300.0 7 919 350.0 7 172

".00. o

• 6 557

".50.0 6 01.2 500.0 5 603 600.0 it 89it

700.0 it 3itit 300.0 3 905 900.0 3 5*6 1C00.0 3 21t7 1200.0 2 778

11)00.0 2 it26 1600.0 2 153 1800.0 1 935 2000.0 1 756 2500.0 1 it27

192.

196. 210. 225.

236.

2it it. 250.

256,

262,

267, 272.0

282.0 292.0

300.0

308.0 323.0

337.0 350.0

363.0 387.0

itll.O

1.35.0

1.60.0 1.85.0 5".9.0 612.0

675.0

737.0

799.0

860.0 981.0

1100.0

1220.0

131.0.0

11.60.0 1700.0

1950.0 2190.0

21.30.0 2680.0

3290.0 3910.0

1<I 5 It3300

lit 5 lt2 70 .0 13 7 lt2300 12 8 Itl900 .0 12 2 1.11.00 11 8 1.0800 11 5 1.0200 11 3 39600

11 39100

10 8 38500

10 6 38000

10 2 36700

9 91 35400

9 59 31.100 9 31 32900 .0

8 79 30700

e 33 2870C

7 92 26900

7 57 251.00 6 98 22B00

6. 52 20900

6 15 19500

5 85 18ii00

5 61 17500

5 15 16000

It 85 15000

it 63 lit300

it lt6 13800

it 3lt 13400

it 2lt 13000

it 10 12500

it 00 12100

3 92 1180P

3 87 11600

3 82 11400

3 76 11100

3 72 10 90

3 68 10800

3 66 10600

3 6 It 10600

3 61 10400

3 59 10300

0.00285 101 79.3

0.00315 102 60.8 0.00332 103 48.4 0.00338 102 39.8

0.00340 102 33.8 0.00344 102 29.3 0.00346 101 25.9 0.00348 100 23.3

0.00750 0991 21.2 0.00351 0982 19.5 0.00351 0973 18.1 0.00352 0950 15.7 0.00352 0929 14.1 0.00351 0911 13.0 0.00350 0895 12.2 0.00348 86 8 11.3 0.00345 0849 10.7 0.00342 0835 10.5 0.00338 0825 10.3 0.00327 0815 10.2 0.00314 0614 10.3 0.00299 a 0818 10.4 0.00284 0826 10.6 0.00269 0837 10.7 0.00236 0870 11.2 0.00209 0907 11.8

C. 00188 0945 12.4 0.00171 0983 13.0 0.00157 102 13.6 0.00145 106 14.1 0.00127 113 15.5 0.00112 122 17.0

0. 00101 131 18.4 0.000920 130 19.9 0.000844 148 21.2 0.000724 165 23.9 0.000634 18? 26.5 0.000564 198 29.0 0.000507 214 31.5 0.000461 230 33.8 0.000376 267 39.5 0.000317 303 44.9

THERMAL DIELECTRIC PRANDTL OIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.0102 1.01256 1.55 0.00925 1.01285 1.33 0.00629 1.01314 1.19 0.00764 1.01343 1.07 0.00727 1.01370 0.955 0.00699 1.01397 0.869 0.00674 1.01423 0.801 0.00654 1.01449 0.747 0.00636 1.01474 0.704

0.00621 1.01498 0.669

0.00608 1.01522 0.641 0.00581 1.01579 0.590 0.00560 1.01633 0.559 0.00543 1.01682 0.541 0.00530 1.01728 0.531 0.00511 1.01610 0.525

0.00500 1.01879 0.530 0.00495 1.01936 0.539 0.00495 1.01983 0.550 0.00506 1.02049 0.570 0.00529 1.02086 0.5 86 0.00560 1.02101 0.596 0.00597 1.02099 0.602 0.00639 1.02065 0.598 0.00760 1.02020 0.601 0.00894 1.01934 0.600 0.0104 1.01844 0.599 0.0119 1.01755 0.599 0.0135 1.01670 0.600 0.0151 1.01591 0.601 0.0187 1.01448 0.610 0.0227 1.01326 0.620 0.0271 1.01221 0.628 0.0318 1.01130 0.633 0.0369 1.01051 0.638 0.0482 1.00921 0.644 0.0607 1.00819 0.648 0.0745 1.00736 0.651 0.0896 1.00669 0.654

0.106 1.00612 0.655

0.151 1.00505 0.658 0.204 1.00430 0.660

THO-PHASE BOUNDARY
15000 PSIA ISOBAR THFRMOOYNAMIC PROPFRTIFS OF HELIUM It

TEMPERATURE VOLUME ISOTHERM DERIVATIVE

CU FT-PSIA/LB

ISOCHORE DERIVATIVE

PSIA/R

26.0 28.0

30.

32.

3<t. 36.

36.

i.0.

1.5. 50. 55.

60.

70, no,

90, 100,

120,

11.0,

160.

18 0. 200.

250. 300.

350.

1.00. 1.50.0 500.0 600.0

700.0

800.0 900.0

1000.0

1200.0

11.00.0 1600.0

1800.0 2000.0

2500.0

0.05160 0.05191 0.05219

0.0521.8 0.05277

0.05307

0.05337 0.05368

.051. 1,5 .05523

.05601 05680

.05839

,06000

,06161

,06321. ,06651. 06990 07331 07676

08025

08901

09777

1065

1151 0.1237

0.1323

0.11.93

1663

1832 2002

2173

2511. 2858 3202

351.7

3891. 1.762

3310

3310

3270

321.0 3220

3190 3170.0

3150.0

3110.0

3070.0

301.0.0 3000.0

2930.0 2870.0

2800.0

271.0.0

261.0.0 2550.0

21.90.0

21.50.0

21.20

21.10 21.50 2520

2610 2700 2800

3000 3210.0

31.30.0 3650.0

3880.0

1.350.

1.820. 5310.

5800.

6300.

7550.

168.

170. 171. 171.

171. 170.

169. 167.

163.

158.

152.

11.7. 137.

128.

120.

112.

99.

19.7

17.1, 15.5

11.. 11.8

10.2

8. 93 7.97

7.20 5.79

INTERNAL

ENERGY BTU/LB

31.. 18

35.01. 35.80

36.63

37.50

38.1.2 39.38

1.0.37

1.2.99

1.5.78

1.8.70 51.75

58. 17

61*. 95 72.01 79.32

91.. 1.9 110.2

126

11.2 158

199

239 279

319 358.8

397.9

1.75.3

552,

628,

701., 780. 931. 1082.

1232, 1333.

1533, 1909.

BTU/LB

177.5

179.2 180.8

182.1.

181..

1

185.8

187.6

189.5

191..

2

199. 2 201..

3

209.5

220.1. 231.6

21.3.1 255.0 279.3

301..

3

329.8

355.6

381.5

1.1.6.5 511.

575.

639.

702. 765.

890.

1011.. 1137.0

1261.0

1381.. 1630.0

1876.0

2122.0

2368.0

2611.. 3231.0

6001

6636

7170

7691. 8206

8705 9191 9662

.078

.183

.280 .371

.538

.688

.82*. 1.91.9 2.170 2.363

533

685

821 112

31.8 51.6 716

865

997

225

1..1.16 1..581

it. 726

1..855 5.080 5.269

5.i,3it 5.579 5.709

5.981.

5863

6323

6591 6816

70P3

7160 7292

0.71.03 0.7621

0.7782

0.7911

0.8020 0.8201

0.831.7

0.81.65 0.8559

0.8686

0.8752 0.8776

0.8771

0.871.9 0.8656

0.8550

O.Siii.9 0.8359

0.8282

0.8215

0.8107

.8026

.7961. .7915

. 7876

.7818

.7778

.771.8 0.7726 0.7708

0.7677

CP VELOCITY

OF SOUND

-R FT/SEC

0.6957 1.267.0

0.751.1. 1.275.0

0.791.11 1.275.0 0.8293 1.276.0 0.8596 1.277.0 0.8861 1.279.0 0.9093 1.261.0 0.9299 1.283.0 0.9726 1.288.0 1.007 1.291.0 1.036 1.291.0 1.061 1.288.0

1.101. 1.276.0

1.11.0 1.258.0 1.170 1.237.0 1.196 1.211.. 1.236 1.169.0

1.261. 1.131.0

1.282 1.101.. 1.293 1.087.0 1.299 1*080.0 1.300 1.095.0 1.291 1*11.3.0 1.279 1.208.0 1.269 1.282.0 1.260 1.362.0 1.253 1.1.1.5.0 1.21.3 1.616.0

1.236 1.788.0 1.233 1.960.0 1.231 5131.0

1.230 5299.0

1.230 5628.0

1.230 591,5.0 1.231 6251.0

1.232 651.5.0 1.233 6829.0

1.231. 71.98.0 3000.0 8820.0 <t.B5 381.8.0 6.209 0.7657

THO-PHASE BOUNDARY
15000 PSIA ISOBAR

THERMOPHYSICAL PROPERTIES OF HELIUM 4

TEMPERATURE DENSITY

DEG. R LB/CU FT

p V T

BTU/LB PSIA-CU FT/8TU PSIA

<DV/DT>/V THERMAL VISCOSITY

p CONDUCTIVITY

1/OEG. R BTU/FT-HR-R LB/FT-SEC

X 10E*6

26.0 19.38

28. 19.26

30.0 19.16

32.0 19.05

34.0 18.95

36.0 18. 84 3S.0 18.71.

1*0.0 18.63

1)5.0 18.37

50.0 18.11

55.0 17.85

60.0 17.60

70.0 17.13

90.0 16.67

90.0 16.23

100.0 15.81

120.0 15.03

l<t0.0 14.31 160.0 13.64 lao.o 13.03

200.0 12.46

250.0 11.23

300.0 10.23

350.0 9.391

1.00.0 8.686

<»50.0 8.083 500.0 7.560 600.0 6.698

700.0 6.014

800.0 5.457

900.0 4.994

1000.0 4.603

1200.0 3.977

l<t00. 3.499 1600.0 3.123

1800.0 2.819

2000.0 2.568 2500.0 2.100

266.

283. 291,

299. 307,

314.

320,

326. 341.0 355.0

368.0

381.0 404.0

425.0

445.0

462.0 494.0

521.0

547,

572. 597,

659. 722.

785.

848. 910,

971, 1090.

1210.

1330.

1450. 1570.

1810, 2050. 2290.

2530. 2770.

3380.

14.,8 64200..0 14 .0 63700 .0 13 .5 62700 .0

13..2 61800.,0 1? .9 61000 .0 12 .6 60200 . 12.,4 59400 .0

12,,1 58700.,9

11..6 57100,,0 11.,2 55600,,0 10,,8 54200,,0 10.,4 52800,, 9..77 50200,,0

9..20 47800..0

8,,71 45500,,0

e.,29 43400.,0

7.,60 39600..0

7,,06 36 50 0,,0

6.,64 33900,,0

6,,30 31900,,0

6,,02 30200.,0

5,,49 27100,,0

5,,13 25100,,0

4,,87 23700,.0

4,,67 22700,,0 4,,52 21800.,0

4,,39 21100,,0 4, 21 20100..0

4,,09 19300,,0

3, 99 18700,,0 3,,92 18200,,0

3. 87 17900,,0 3,,79 1730C,,0 3,,73 16900.,0 3.,69 16600.,0 3,,66 16400.,0 3.,64 16200,,0 3.,59 15900.,0

3. 57 15700.

0,,00262 0..139 97.4

o..00267 0..137 76.8

c,.00273 .136 62.9

0,,00277 ,134 52.8

0,,00280 .133 45.3

0..00283 0,,131 39.5

,00284 .129 35.1

0,,00285 0.,128 31.5

0.,00285 0..124 25.4

0,,00284 0.,120 21.5

0,,00281 0,,117 19.0

0,,00279 0.,114 17.3

0. 273 0.,110 15.1

c,, 26 8 0.,106 13.9

0,,0026 3 0,.104 13.2

0,,00259 0,,102 12.7

0. 00250 0,,100 12.3

0,,00242 0.,0993 12.1

0.,00234 0,,0991 12.1

0. 00226 0.,0993 12.2

0,,00218 0.,100 12.1

0,,00197 0,,102 12.5

0.,00179 0.,104 12.9

0. 00163 0,,107 13.3

0,,00150 0,,110 13.7

0,,00139 0,,112 14.2

0.,00129 0..115 14.6

0. 00114 0., 121 15.9

0..00102 0,,129 17.4

[>, 000927 0.,137 18.8

0,,000850 0.,145 20.2

0, 000785 0.,153 21.5

c,.000681 0,,170 24.2

0. 000602 0,,186 26.8

0,.000539 0..202 29.2

0,.000487 0.,217 31.7

0,.000445 0.,232 34.0

c,.000365 0..269 39.6

0. 000310 0. 305 45.0

THERMAL DIELECTRIC PRANOTL DIFFUSIVITY CONSTANT NUMBER

SQ FT/HR

0.0103 1.00883 1.76 0.00945 1.00916 1.52 0.00893 1.00946 1.32 0.00851 1.00975 1.17 0.00815 1.01005 1.05 0.O0785 1.01034 0.962 0.00760 1.01062 0.887 0.00737 1.01091 0.827 0.00692 1.01159 0.719 0.00659 1.01224 0.651 0.00632 1.01286 0.606

0.00611 1.01343 0.577 0.00580 1.01449 0.546 0.00561 1.01543 0.534 0.00548 1.01626 0.532 0.00542 1.01699 0.535 0.00540 1.01820 0.545 0.00550 1.01912 0.556 0.00567 1.01981 0.565 0.00589 1.02031 0.571 0.00616 1.02065 0.569

0.00697 1.02101 0.573 0.00790 1.02091 0.573 0.00891 1.02056 0.572

0.0100 1.02007 0.572

0.0110 1.01952 0.573 0.0122 1.01893 0.574 0.0146 1.01776 0.585 0.0174 1.01665 0.598 0.0204 1.01563 0.608

0.0236 1.01469 0.616

0.0271 1.01385 0.622 0.0347 1.01239 0.632 0.0431 1.01118 0.638 0.0524 1.01018 0.643 0.0625 1.00933 0.647 0.0734 1.00861 0.649

0.104 1.00720 0.654 0.139 1.00619 0.656

TWO-PHASE BOUNDARY

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U.S. DEPT. OF COMM.

BIBLIOGRAPHIC DATA

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1. PUBLICATION OR REPORT NO.

NBS TN-622

3. Recipient's Accession No.

TITLE AND SUBTITLE

Thermophysical Properties of Helium 4 from 4 to 3000 I

with Pressures to 15000 PSIA

5. Publication Date September 1972

6. Performing Organization Code

AUTHOR(s) Robert D. McCarty 8. Performing Organization

10. Project/Task/Work Unit No. 2750426

. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS, Boulder Labs.

DEPARTMENT OF COMMERCE

Boulder, Colorado 80302

11. Contract/Grant No.

!. Sponsoring Organization Name and Address

National Aeronautics and Space Administration

Manned Spacecraft Center

Houston, Texas 77058

13. Type of Report & Period

Covered

14. Sponsoring Agency Code

>. SUPPLEMENTARY NOTES

ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here.) Tables of thermophysical properties of helium 4 are presented for temperatures from 4 to 3000 Rankine for pressures to 15000 psia. The tables include,

entropy, enthalpy, internal energy, density, volume, speed of sound, specific

heat, thermal conductivity, viscosity, thermal diffusivity, Prandtl number and

the dielectric constant for 74 isobars. Also included in the isobaric tables are

quantities of special utility in heat transfer calculations: (dP/dV) T , (dP/^T) , V(dH/aV) p

, V(dP/BU) v , -V(dP/dV) T , l/V(BV/ST) p

. P

In addition to the isobaric tables, tables for the saturated vapor and liquid

are given which include all of the above properties, plus the surface tension.

Tables for the PpT of the freezing liquid, PpT of the lambda line, index of

refraction and the derived Joule-Thomson inversion curve are also presented.

' KEY WORDS (Alphabetical order, separated by semicolons)

Density; dielectric constant; enthalpy; entropy; equation of state; fixed points;

heat transfer coefficients; helium 4; index of refraction; Joule-Thomson

coefficient; lambda line; latent heat; melting point; Prandtl number; specific heats;

speed of sound; surface tension; thermal conductivity; thermal diffusivity; vapor

pressure; viscosity; volume.

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