Reference

^

cations

NBSIR 81-2290

NAT'L INST. OF STAND & TECH

Entry Transition Water Surface

Profile Prediction in Supercritical

Partially A Tcru ^ Filled PipeB Flow

AlllDb

Dr. J. A. Swaffield

Service Systems Program

Center for Building Technology

U.S. Department of Commerce

National Bureau of Standards

Washington, DC 20234

and

Drainage Research Group

Department of Building Technology

Brunnel University

U.K.

June 1981

—

Q

C

'» H —

100 U.S. DEPARTMENT OF COMMERCE

.U56

81-2290

1981

NATIONAL BUREAU OF STANDARDS

M4T(0HAL bur&au

or trrAKDARud

librart

JUL 2

NBSIR 81-2290

ENTRY TRANSITION WATER SURFACE

PROFILE PREDICTION IN SUPERCRITICAL /

PARTIALLY FILLED PIPE FLOW

Dr. J. A. Swaffield

Service Systems Program

Center for Building Technology

U.S. Department of Commerce

National Bureau of Standards

Washington, DC 20234

and

Drainage Research Group

Department of Building Technology

Brunnel University

U.K.

June 1981

U.S. DEPARTMENT OF COMMERCE, Malcolm Baldrige, Secretary

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

0 1981
•

f

k
PREFACE

This report is one of a group documenting National Bureau of Standards (NBS

research and analysis efforts in developing water conservation test methods,

models for technical and economic analysis, and strategies for implementation

and acceptance of practices. This work is sponsored by the Department of

Housing and Urban Development, Office of Policy Development and Research,

Building Technology and Standards Division, under HUD Interagency Agreement

H-48-78.

iii
SUMMARY

The criteria governing the development of steady partially filled supercritical

pipe flow are presented together with the necessary techniques to determine the

water surface profile in the pipe entry transition length.

The establishment of full bore flow is predicted for a range of flow rates and

pipe design parameters. Based on the water surface profile calculation technique pipe length predictions are presented to avoid the air pressure fluctuations in the drainage system that result from full bore flow establishment.

Tabular data are presented to allow design decisions to be made that link pipe

slope, diameter and roughness to the need to avoid full bore flow. A graphical

technique is also presented that removes the necessity to Interpolate from the

tabular data.

The effect of entry geometry loss coefficients is included in the techniques

presented.

iv
CONTENTS

Preface Ill

Summary * ^ • Iv

List of Figures and Tables vl

Notation vll

1. INTRODUCTION * 1

2. THEORETICAL CONSIDERATIONS 2

2.1 Steady Uniform Flow In Partially Filled Pipe Flow .»« 4 t**«**«*> 2 2.2 Entry Transition Length In Partially Filled Pipe Flow 3

2.3 Gradually Varied Flow In Partially Filled Pipes 5

2.4 Loss Coefficients for Slope Transitions In Partially Filled

Pipe Flow * 6

3. CALCULATION TECHNIQUES AND PRESENTATION OF RESULTS 8

3.1 Determination of Normal and Critical Depths 8

3.2 Numerical Integration for Surface Profiles . t

^ t •« f

8

3.3 Presentation of Results t *** t ? t 9

3.4 Input Data Choice «t** 9

4. DISCUSSION OF RESULTS 10

5. CONCLUSIONS 13

6. REFERENCES 14

APPENDIX 1 Tabular Data Relating Flow Normal Depth and Transltlpp

Length to Flow and Pipe Parameters 26

APPENDIX 2 Description of Program PROFIL 2 * 91

V
LIST OF FIGURES AND TABLES

Page

Figures

1 Derivation of Chezy's equation for free surface flow 15

2 Relationship between flow specific energy and flow depth 16

3 Transition length downstream of a pipe slope change in

partially filled pipe flow 17

4 Basis of gradually varied flow analysis 18

5 Schematic representation of numerical integration to determine

water surface profile 19

6 Water surface profiles for a range of pipe gradients,

illustrating increase in transition length as pipe slope is

increased 20

7 Water surface profile for a range of pipe roughness values,

illustrating increased transition length as pipe roughness

is decreased 21

8 Flow normal depth as a function of pipe and flow parameters

for a range of pipe diameters 22

9 Entry depth as a function of flow rate and entry specific

energy 23

10 Transition length as a function of depth change from entry to

normal depth, note that flow rate and entry energy are subsumed in the depth change term 24

Table

1 Typical tabular data for 0,10 m diameter pipe 25
NOTATION

A Channel cross sectional area

C Chezy constant

D Pipe diameter

E Specific energy

g Acceleration due to gravity

h Flow depth

hj. Critical flow depth

hg Entry flow depth

h^ Normal flow depth

L Transition length

m Hydraulic mean depth

n Manning coefficient

P Wetted perimeter

Q Flow rate

S Slope of energy grade line

Sq Channel slope

T Water surface width in channel

V Local average velocity

X Axial flow direction

Z Elevation channel above some datum

p Fluid density

6l Approach pipe slope

02 Test pipe slope

vii

1. INTRODUCTION

In the design of building drainage systems the maintenance of appliance trap

seals is a major criterion. Trap seal depletion may occur as a result of either

negative or positive air pressure transients in the drainage pipework. Positive pressures may be generated if the water flow in the system becomes full

bore at some downstream location. The most common cause of such a closure of

the air passage above the water surface is the flow depth change that acconr

panics a change in pipe slope. The transition from vertical stack flow to the near horizontal building drain, commonly set at gradients in the range 1/AO to

1/80, results in a rapid depth increase downstream of the slope change that may

result in the establishment of local full bore flow. Transition from the entry

depth to a greater depth can be erroneously interpreted in experimental observations as an hydraulic jump; the theoretical predictions developed here indicate that a monotonically increasing (smooth) depth change can occur. The

conditions under which a hydraulic jump exist are discussed in an earlier

study [ 1 ].

The design criteria necessary to avoid this condition are set out in this

report, together with the necessary computing techniques and design table

examples for a range of typical pipe diameters, gradients and flow rates.

1
2. THEORETICAL CONSIDERATIONS

2.1 STEADY, UNIFORM FLOW IN PARTIALLY FILLED PIPE FLOW

Figure 1 illustrates the force balance equation for steady flow in an open

channel or partially filled duct. The common expression of this relationship

is known as the Chezy equation where

V = C / m So (1)

m = hydraulic mean depth A/P, m

Sq = sin 0, duct slope

V = mean velocity, m/

C = Chezy constant.

The value of loss coefficient C was found by Manning to be dependent on hydraulic mean depth and duct surface roughness n. The Manning formula is the

simplest of the open channel equations:

V

Q

n

= 1 Am2« gl/2

( 2 )

where Q is the flow rate m^/s

A is the flow cross sectional area, m^

The value of the Manning coefficient, n, varies with pipe or channel material.

Chow [2] suggests values in the range 0.009 to 0.020 for materials commonly

found in building drainage systems. The utilization of n as a variable with

depth can be introduced (in the computer program) for more detailed calculations.

The effects of wall accumulations on n as a function of deposited materials is

unknown.

Equation 1 effectively determines the flow depth, h, under steady, uniform

conditions, only one value of h yielding the values of A and m necessary to

satisfy the equation. As this depth is by definition constant downstream,

dh/dx =0, it must also be the terminal depth corresponding to the flow

terminal velocity at that channel slope.

This depth, h^^, is commonly referred to as the normal depth.

The specific energy of the flow may be defined as

r2 E = h +

2g

where h

V

local flow depth, m

local average flow velocity, m/

(3)

2
Figure 2 illustrates the alternate depths that will satisfy equation (3) and

their significance in terms of the flow definition.

From equation (3) and figure 2 it may also be seen that the flow specific

energy has a minimum value below which the given flow conditions cannot exist.

In a general, non rectangular channel this value may be determined*

E = h+

2gA2

= 0 = 1 dh

From figure 3

dA = T dh (5)

where T is the surface width at any depth, h.

From equations (4) and (5) the minimum value of E will occur at a depth

value, h(,, that satisfies the expression

1 - Q2T/gA3 =0 (6)

This value of h is referred to as the flow critical depth he*

If the normal flow depth h^ exceeds h(, then the terminal flow would be termed

subcritical, or tranquil flow. If hn is less than hj, then the flow is termed

rapid or supercritical.

It should be stressed that h^ is independent of pipe slope and pipe surface

roughness; while the normal depth is dependent on both. Thus the same volume

flow rate in any particular pipe may be rapid or tranquil depending on pipe

slope, and similarly the same flow rate in a series of constant diameter pipes

will be tranquil or rapid depending on roughness.

Pipes or channels in which rapid flow is normal are termed steep, pipes or channels in which tranquil flow is normal are termed of mild slope.

2.2 ENTRY TRANSITION LENGTH IN PARTIALLY FILLED PIPE FLOW

It will be seen from figure 2 that the flow depth at any point along a partially filled drain is dependent on both flow rate and specific energy.

However the only stable depth is that represented by the normal flow equation,

(2), thus a transition region may be expected in any partially filled pipe flow

when the inlet flow conditions, expressed in terms of Q and E, do not match the

normal depth characteristic values.

At the base of a vertical stack it is unlikely that the flow rate and specific

energy will match the downstream drain normal depth values. In general the

specific energy at the drain inlet will be higher than the normal depth and

-

gA- dh

(4)

3
flow characteristic specific energy, so that the entry flow depth will be less

than the downstream normal depth.

Under these conditions frictional forces acting on the fluid flow result in an

increase in flow depth downstream until the flow normal depth is reached. Thus

a transition regime may be identified whose length is dependent on the pipe

slope, diameter and roughness and the entry flow rate and specific energy.

Figure 3 illustrates this transition region. This description is generally

true whether the flow downstream is classified as subcritical or supercritical.

For the subcritical flow case, the normal depth to be achieved is greater than

the flow critical depth and hence its establishment requires the generation of

a hydraulic jump. This topic was dealt with in an earlier report [1].

For the supercritical flow case the depth profile may Increase downstream until

the normal depth is achieved without the generation of a hydraulic jump, or local flow depth discontinuity.

It is however necessary to distinguish clearly between the generation of local

full bore flow due to a hydraulic jump and the observation of full bore flow

as a result of a "smooth" transition to normal depth in supercritical flow.

Comparison of the normal depth, calculated from equation (2), to the critical

depth, as calculated from equation (6), is sufficient to determine whether a jump will occur, or whether it is sufficient to only consider the developing

supercritical flow depth profile.

Care should be taken in any literature survey of drainage studies in this area

as the term "hydraulic jump" is often used loosely to identify both the true

jump condition and the establishment of full bore flow as a result of the

supercritical depth transition described above.

In both cases the likelihood of full bore flow is predictable from a comparison

of the target normal depth with the pipe diameter.

In the analysis presented steady flow conditions are assumed at a range of flow

rates. In practice the entry flow to the drain will follow some flow vs time

profile. Thus the establishment of full bore flow will depend on the peak

entry flow rate and its attenuation as the inflow surge progresses down the

pipe. A study of attenuation in supercritical free surface flow [2] indicates

that the effect will be small over the first 5 to 6 m of drain so that it is

reasonable to base design tables on the assumption that the entry profile may

be represented by a series of increasing steady flow rates. Adjustments for

the flow increase to permit adjustment for the series of stepwise increased

rates may be made in the integrands of the equations in this report.

In order to provide design data two calculation techniques are required:

(1) Comparison of flow normal depth with both the drain critical depth value

to determine the applicable flow regime, and the pipe diameter, to determine whether full bore flow is possible at this combination of flow rate,

pipe diameter, gradient and roughness.

4
(2) Calculation of the water surface profile from the pipe entry downstream

to either the establishment of normal depth flow or full bore flow. The

necessary equations for (1) above have been established. The calculation

of the water surface profile requires the use of gradually varied flow

analysis.

2.3 GRADUALLY VARIED FLOW IN PARTIALLY FILLED PIPES

Gradually varied flow is steady, non-uniform flow of a special type. The flow

parameters are assumed to change slowly, if at all, in the flow direction.

The basic assumption in the treatment of this type of flow is that the local

head loss at any section is given by the Manning expression, (2), for the idenr

tical local flow depth and rate under assumed steady, uniform flow conditions.

Depth profile predictions by numerical integration are based on this

assumption, expressed in terms of figure 4 by

d +

dL ^ 2g

where (Zo . * in the

hence _ V dV

8 dL

and as. Q

= VA

-(

+ s. Am2/3

nQ 1 ^

distance L along the channel,

is sin 0, channel bed slope,

( 7 )

measured

(«)

iY. A + V

^ = 0

dL dL

and as ^ = T from equation 5 it follows that

dh

dL A dL A dL a2 dL

and substituting in equation (8) yields

Q^T dh +

gA^ dL

dL = {

-

1 -

S -

dh

dL

1 n Q

2/3 A m

l<*h

(nQ/Am2/3

(9)

or

5
L dh ( 10 )

hi

/

h

1 - Q^T/gA^

S - (nQ/Am^/^)^

o o

where L is the distance between two known depths hQ, h]^

Figure 5 illustrates this numerical integration, which may be conveniently

achieved by Simpson's rule.

The numerator and denominator of equation (10) will be recognized as the

equations determining the critical and normal flow depths in an open channel.

l^en the term (1 - Q^T/ gA^ ) is zero the flow is at critical depth, i.e., there

is no change in L for a change in h.

For uniform cross section channels with constant roughness, n, and slope, Sq,

the expression (10) becomes solely a function of flow depth h.

In order to numerically evaluate (10) it is necessary to define boundary

conditions from which the Integration may proceed. It should be stressed that

the integration may be carried out either upstream or downstream from a known

depth point. This ability is central to the use of this technique to determine

the position of a profile continuity, such as a hydraulic jump.

Figure 5 illustrates the control depths used in the prediction of the water

surface profiles in the case being investigated, namely the change in slope of an open channel.

If the flow rate Q and specific energy are known at pipe entry, at B, figure 3

then the depth at B may be calculated by choosing the lower depth root of

equation (4). In the study reported a range of entry specific energy values

for a constant inflow were obtained by considering the entry flow at B to have

attained terminal flow conditions in an approach pipe, AB figure 3., set at a range of gradients from 15° to 90°, however this artifice is not strictly

necessary as any suitable energy values could have been utilized.

The choice of dh values in the numerical integration is based on the difference

between the control depth at entry and the "target" depth, representing the

normal flow depth to be achieved downstream.

For the example in figure 5 the dh value is

where N is a reasonable number in the range 10-30. Since the change from hg

to h^ can be expected to fall within an order of magnitude and the monotonic

change (except for the jump condition) in the function h(L) is not rapid the

size of incremental steps can be of the order of unity.

dh (h^ “ hg)/N ( 11 )

6
If the normal depth, h^, exceeds the pipe diameter, D, then the numerical

integration is terminated when the predicted flow depth exceeds the pipe

diameter value.

2. A LOSS COEFFICIENTS FOR SLOPE TRANSITIONS IN PARTIALLY FILLED PIPE FhQW

No data could be obtained on the loss coefficients for slope transitioi^s in

open channel flow. For this reason the results presented assume no loss at the

pipe entry. The computer program as written has been designed to include such

a loss coefficient, in the range 0 to 1, should such data become available from

a future experimental program. The effect of such a loss would be to Increase

the flow depth at pipe entry, with a consequent decrease in the kinetic energy

term at pipe entry. In turn this would have the effect of generally moving

the energy transition upstream towards pipe entry. Experimental work is

required as a back up to the computer simulation to clarify this area.

7
3. CALCULATION TECHNIQUES AND PRESENTATION OF RESULTS

3.1 DETERMINATION OF NORMAL AND CRITICAL DEPTHS

The bisection method was used to solve the equation defining both critical flow

depth

X = 1 - Q^T/gA^

and normal flow depth

Y = Sq - (n Q/Am^/^)^.

It may be assumed that both X and Y have zero values for some value of depth h

in the range 0 < h < D for pipe case or 0 < h < W for the square section case.

This initial interval is bisected and h = D/2 or w/2 for the square section)

used to evaluate X, Y. If the resulting values are positive then the root is

less than the midpoint. The upper limit is then reset equal to the h value

just used and the remaining interval bisected. The process repeats until a root is obtained. If the X or Y value had been negative then the root would

be greater than the trial h value. In this case the lower limit is reset to

the trial h value and incremented with the remaining interval bisected.

Due to the need to include the area depth relationship this solution must be

undertaken by an iterative process. The computer time taken depends on the

complexity of the area-depth function.

3.2 NUMERICAL INTEGRATION FOR SURFACE PROFILES

The integration of the position vs depth profile

L = /

1 h S “ (nQ/Am^/^)^

o o hi

is achieved by means of Simpson's Rule. Let the integral X = / F(h) dh,

ho

then if the interval hj-hQ is divided into 2 equal increments, the value of X

is given by

X = 1 dh [FCh^) + 4F(h^ + dh) + FCh^ + 2 dh) ]

As the integration moves on the length traversed may be accumulated as L = L + X at the completion of each integration.

8
3.3 PRESENTATION OF RESULTS

The transition profiles for the following cases are presented in tabular form

in Appendix I:

Flow rates 2 to 12 A/s, extended to 22 1/

for the 0.15 m diameter

pipe case

Pipe diameters: 0.075 m, 0.10 m and 0.15 m

Roughness coefficients: 0.009, 0.012, 0.015, 0.018

Pipe gradients: 1/20, 1/40, 1/60, 1/80

Entry specific energy range simulated by varying the approach pipe slope

from 15° to 90°.

In addition to tabular data, an alternative graphical technique is presented.

3.4 INPUT DATA CHOICE

As far as possible the choice of input test conditions was governed by the

range of values likely to be found in drainage systems. The pipe diameters

chosen, 0.075, 0.10 and 0.15 conform to this criterion as do the pipe gradients

used for all test cases, 1/40 to 1/80. The choice of pipe roughness or Manning

coefficient was more difficult, however values in the range 0.009 to 0.015 are recommended in many texts, i.e. Jaeger [3] and Chow [4].

Losses at the change of slope that produces the conditions conducive to full

bore flow have been ignored in this treatment. No available data on open

channel transition loss coefficients for partially filled pipes or channels

could be obtained. The program is capable of dealing with transition losses

however via an input data control variable provided the loss can be expressed

as a factor, 0 to 1.0, of the specific energy of the flow at pipe entry.

9
4. DISCUSSION OF RESULTS

The water surface profile integration downstream from pipe entry is illustrated

by figures 6 and 7, It will be seen that the transition length, or the distance to full bore flow or normal depth, whichever is less, depends on both

the flow rate and entry specific energy and hence any simplified prediction

technique would have to include both these parameters.

The determination of whether or not full bore flow will occur at any particular

combination of flow, Q, roughness, n, and pipe slope, Sq, is rather simpler,

depending on a comparison of normal depth to pipe diameter.

Figure 8 presents the normal depth to pipe diameter ratio as a function of a term nQ/S^' that may be seen to determine normal depth from the Manning

expression, equation (2). It will be seen that the curves for each of the

three pipe diameters tend to become linear at the higher values of hj^/D . Thus

a general equation may be proposed to indicate whether full bore flow is

achievable, from figure 8,

^ = 0. 14 + 0.0018 (12)

D sl/2

o

Once the establishment of full bore flow has been predicted it becomes

necessary to determine whether this will occur. within the system pipe length.

The tables presented in Appendix 1 allow this calculation provided that the

inflow rate and specific energy are known together with pipe slope, roughness

and diameter.

Obviously if the transition length predicted is less than the required pipe

length then design alternatives would include an increase in pipe slope, an

increase in pipe diameter or the use of a smoother pipe, although it is

recognized that this last alternative is unlikely to be employed.

The use of such tabular data is considered practical, however a graphical

technique would have advantages in terms of the appreciation of effect of rapid

design changes.

The problem to be solved here is the dependence of transition length on entry

energy, however this may be bypassed if the entry depth is calculated.

Figure 9 presents the entry depth for any flow rate and specific energy

combination for the three pipe diameters condensed in the form

hg/D = f(Q, E)

(hg/D)/Q = fi(E)

Thus for any Q and E values the entry depth hg may be read off figure 9.

10
It was found that the transition length at any pipe roughness, gradient, inflow

rate and specific energy could be expressed in terms of

L/D = f(hn/D - hg/D)

as illustrated in figure 10.

For example, for a given flow rate the entry depth will decrease as the entry

specific energy increases. Hence the depth change to be achieved to either

full bore flow or normal depth increases as the entry energy rises. Therefore

it would be reasonable to expect that the transition length would Increase as

the entry depth decreased, as shown in figure 10.

The curves in figure 10 apply to the specified one pipe diameter at one pipe

slope at a range of pipe roughness coefficients. Obviously such curves may be

generated from the data presented in appendix 1 for all the test cases.

It will be noted that individual points are plotted in figure 10 in the manner

normal for test results and display a degree of scatter. This is due to the use of either pipe diameter or normal depth as the depth downstream target,

whichever is the smaller value. This leads to a slight incompatibility between

transition lengths to either D or hg. However this scatter of the order of 2

to 3 percent and is well within the other uncertainties in the design of drainage systems, so that this technique may be proposed as a rapid visual method of

determining the effect of design changes.

The tabular data presented in appendix 1 may be utilized if the entry flow rate

and specific energy are known. Referring to table 1, reproduced from appendix 1, it will be seen that it will be necessary to employ an interpolation

technique to determine the transition length if the flow entry rate and specific energy do not match the values given. The curves based on the tabular

data presented above indicate that a simple linear interpolation would be sufficient. The format of the data, table 1, could be simplified as the approach

pipe slope is, as mentioned, only included as a convenient method of

determining a range in inflow specific energies.

Similarly the data could be rearranged in terms of constant inflow rate blocks

instead of the constant approach pipe slope utilized in appendix 1 and table 1.

The data presented has been based on inflow rate and specific energy and does

not include an entry loss coefficient. In practice the form of the entry junction from, for example, a vertical stack to the building drain would lead to a junction loss coefficient that would appear, for any given flow rate, as a reduced specific energy.

Although this loss coefficient is not included in the presented data, it is

automatically accounted for in the prediction method outlined above. A reduction in specific energy for any flow rate effectively increases the entry

depth, figure 9, and hence reduces the transition length, figure 10, for any

one set of pipe design parameters.

11
In the absence of published data on such loss coefficients, experimental work

is suggested to fill this gap and the inclusion of an estimated loss

coefficient is recommended in the application of the presented data.

12
5. CONCLUSIONS

In supercritical flow in a partially filled pipe a transition region may be

identified at the pipe entry that allows the flow depth to increase to that

compatible with the flow rate and pipe parameters (slope, roughness, diameter,

etc.).

This transition may lead to the establishment of full bore flow if the pipe

exceeds the necessary transition length at flow rates where the normal depth,

as predicted by Mannings equation, exceeds the pipe diameter.

This study has identified the conditions necessary for full bore flow and has

determined the transition lengths at a range of flow rates and pipe design

parameters compatible with current drainage design.

It is stressed that the design data presented is based on entry flow and

specific energy. Although no entry loss coefficient has been included, this

effect is automatically accounted for in the design curves presented as an

entry loss would merely reduce the flow specific energy at entry and would not

affect the validity of predictions based on the data presented.

13
6 REFERENCES

1. Swaf field, J. A., Prediction of the Hydraulic Jump Location Following a Change of Slope in Partially Filled Pipe Flow, NBS Report, August 1980,

2, Swaf field, J. A,, Application of the Method of Characteristics to Predict

Attenuation in Unsteady Partially Filled Pipe Flow, NBS Report, October

1980.

3, Jaeger, C., Engineering. Fluid Mechanics, Blackie and Sons, London, 1956.

4. Chow, V, T., Open Channel Hydraulics, McGraw Hill, 1970,

\ 14
From arN^r^j \ • 2

Uoisos . - P,-Pa ^ 2>-2_j

n

^\ - ^2. j ^ tjkr*^orrt\ ^\ouj ,

From rT\om«nrtu.m u.«."k i» n •^.o»^(^

+ f

S'-'® - % = o

p*-pJ. -h

f 3

^2 = 'To P s K

-f 3

i

For “t u.rW A b

= j. ^

vx>

- C y^n 5 ‘n G

® m s. B I p

Q, s C o A S't a« C

Figure 1. Derivation of Chezy' s equation for free surface flow

15
Figure 2. Relationship between flow specific energy and flow depth

16
^ C J Su.pttror\t\c,o\

^ r rvN ^

^ r\o

n

V\ ^c/ y'a u.\ k c.

K ^

“

II X +

111

1 ^J2a

l r- cin s i t ^on \ k " • i

Nl o t ^ “t r-a r\ S r b I'o jcn- K =

« "tk "t a

^A-v

U

0-^1^ K

VN '

G-O U. V ciT\

Figure 3. Transition length downstream of a pipe slope

change in partially filled pipe flow

17
. ^ W 1 \«4S CL^ *»>''‘A ba.S€eL orv Vv^aJ. \04S «

N ^ rr\OLt\f\vfN. ^

>n «r-€.

\ oS«»

Jictvon

Figure 4. Basis of gradually varied flow analysis

18
No'te. CO AL {ocr-eafe-as as \ a cw*-«.<4.

(i;') \jjo\-or ^u.r^ac-«. a ^|9r o a c V\ ^^or^^^(C\

cJLc.^'tK .o. S ^Vnowa orvV^ KA ^u^-tt^critvic a\

^\ou>

Figure 5. Schematic representation of numerical integration

to determine water surface profile

19
Figure 6. Water surface profiles for a range of pipe gradients, illustrating

iricrease in transition length as pipe slope is increased

20
. o« e

I' i

rob

XJ<Ii0V

21

Figure

7.

Water

surface

profile

fora

range

of

pipe

roughness

values,

illustrating

increased

transition

length

as

pipe

roughness

is

decreased
f=\ c

Figure

8.

Flow

normal

depth

as

a

function

of

pipe

and

flow

parameters

for

a

range

of

pipe

diameters
0*OB \ i

23

Figure

9.

Entry

depth

asa

function

of

flow

rate

and

entry

specific

energy
O . I O m

Figure 10. Transition length as a function of depth change from entry to

normal depth, note that flow rate and entry energy are subsumed in the depth change term

24
FLOW CIA. SUPPLY CRAIN DRAIN FLOW ENTRY NORMAL PI PL LENGTH TC

L/S. h. COEFf SLCPC SLCPF ENTRY depth ENcR&Y depth NORMAL ^EPTH.

• (Slh) I SlNl RATIO H/D. n. H/0. L/l).

2.00 :ft*C75 0.0090 0 .2 5bfc C.C500 0. 1493 0.3003 0.2605 53.3110

A. 00 0*0 75 0.0090 0.25t-fc C.C500 0.2384 0.4714 0.4230 9 U • 4 6 3 6.00 0.075 0.0090 0.25 Eb C.C5M0 0. 3167 0.6021 0.5796 113.9373

8.00 C.C75 0.00 yo 0 . 2 5c tJ 0.0500 0.3594 0.7091 0.724 1 13o .7733

10.00 C.C75 0.00)0 0.256c 0. C:>00 0 . 45o 7 0. 7V99 0.0647 154.67ii

12.00 C.C75 0.00^0 0.256L C.C5O0 C. 52t»9 O.&702 l.OOoO 17c. 3 3 y2

2 .00 C.C75 C.0090 0.5CCC r.6500 6.1204 0.4534 0 .260

6 i • 7 i 6 7 4.00 O.C75 0.0090 0.5CC0 C .6500 0.1906 0.7241 0.42o0 loo. d 7o0

6.00 C .675 C. 0-'90 0.5CCC C.C500 0. 2512 0.93 77 0 . 3 7 f 6 129.3334

8. CO C.L 75 0 .00)0 0. 5CCL ( .t 3 OO 6.3074 1.1143 0.7241 1 5 J . 0 39 9 10.00 6 . C 7 5 C . 0 D ) 0 0.5066 C. L50t 0 • 3606 l.t.659 0.3647 173.2-._D

12 .0c 0.0 75 0 . .1 ^ 0 0.5 C Cc C .6500 6. 4114 1.4613 I.OOjC 2ic.

j71

2.00 C.C75 c 0 0.7C7C ( . 6 . 1076 0. 36 46 0 • 2 0 0 5 64

2 3 f ) 4.06 0.675 C. 00)0 0.7C7C C .65 00 6 . 1696 0.9092 0.42=0 l 03 . 0142

6 . Oo C.t 75 0 . 00)0 0 .7076 C.6500 0. 2230 1.162^ 0 . 5 7 -y 6 1j3. o7iD

0 . 00 C .6 75 0 . 10)0 0.7C76 c.6 5 DO 0.2722 1.4117 0 . 724 1 15'#. 7 54 4

10.00 6.67 5 0. 009u 0 . 7 C 7 6 C . t 3 D J 6 . 3 I 9 1 1 .oIOd 0.3447 1 f. 1 . 7 1 1 7 12.06 C.6 75 0. 00 ^0 0.767c 6.C 5 00 6 • 3oi

l.7i72 1 .

0 0 0 2 2 3.0 7= 7

2.00 C.C75 0. 00)0 O.t ) 66 C.C‘00 0. 1Oj0 a. 6421 0.2605 65. 5239

4.00 0.675 0.00)0 0. pecc C.05O0 0 • l5o c 1.0369 0.42=0 167. 11= 3 6.0 0 C.675 6 . 1 0 J

0 .U tC f .65 10 6 . 2 0 1 1.3543 0.57^6 127.9u>2

0 . Oo 0.6 75 0 . 10) j 0. ett c C.C-5 00 6.2537 1.0213 0. 724 1 Ic j . 22 3 3

10.00 C .67 5 C. 00 >

0.6666 c. c^^oc U • 2966 l.o530 u. o6*« 7 loD.Oc /d

12.06 ( .0 75 0. 10)0 0. ht.t u C.C 510 6.3372 2 . 6 6 5 9 1. OOj U 23^ . 3060

2.00 0.075 0.10 )0 O.St59 C.CbOn 0.0974 0. 6c 72 0.2365 66. 159 = 4 .06 C.675 C . 0 1 ) 0 0.9655 C.C50C 0.1530 1.1131 0.42=0 lOc . 17*. 7 6.00 C.075 O.DOOO 0.9t59 (•.6^00 0. 20v)c 1.4367 J. 5746 1 3 4 . J i >, ) 0.06 0.675 0.10)0 1.9t59 C .C5D0 U.2444 1.7445 6. 724 1 1c4.43w3

10.00 0.075 0. CO )0 0.9659 C.C50C 6.2354 1 . 99 9 0 0. 0647 1 1 / . : 7 3 6

12.00 0.075 C.1090 0. 9()5 9 C .6516 0.324 5 2.2277 1.0060 ^ 3 c . 6 i J 7

2.00 C.075 C. Cl )0 0.596^ C.6506 6.0964 0.7611 0.2665 3 Ji 4 4.00 C.075 0.11)0 ( .65f'0 0. 1312 1.13b! 0.42.3 6 luo. 1 #*#3

6.00 C.075 0. Cl )0 1. 59t^ r. C506 6 . 1 9 .= 4 1.4=57 0. 5 7'/ 0 134. 7*ijD

8.06 C.075 C. 00')0 0.9C(_2 C.L510 6 • 2 4 1

1.7d47 6. 723 1 16 3. H?** J IC .06 O.C75 0. 10)

0 . 99 ( ^ C.C 5 00 C • 2 3 2 6 2.64 7 ‘J U a 5 6 4 7 1 3 7 . 6 >' » J 12.06 C.O 75 6 .10)0 0 . 9*^62 , 1 5 0 w 6.32/6 2.27 4.0 1 0 0 J 6 2 3 / . 6 3 3 )

T.-ihlo 1. Typical Tabular Data for O.IU m Diameter Pipe

25
APPENDIX 1

TABULAR DATA RELATING FLOW NORMAL DEPTH AND TRANSITION

LENGTH TO FLOW AND PIPE PARAMETERS

Cases included:

D = 0.075 m j Q

= 2 - 12 1/ s. n = 0o009 - 0.018

D = 0, 10 m, Q

= 2 - 12 i/Sy n = 0e009 ” 0.018

D - 0. 15 m, Q

= 2 - 12 iiSy n = 0.009 - 0.018

D = 0ol5 m, Q

= 14 - 22 l/Sy n = 0.009 - 0.018

26

F LOW DU. tlASS. SUPPLY CFAIN DRAIN FLOW Entry NORKAL PIPE length

L/S. C05FF SLCPF

1 S 1 K ) SLOPS

(SIN)

ENTRY depth

RATIO H/D.

ENERGY

n. depth

H/0*

NORMAL -»EPTH

L/0.

•

2*00 0.075 0.0090 0.25b6 0.C500 0. 1993 0.3003 0.2605 55.3110

^.00 0.075 0.0070 0.25<-fe C.C 500 0.2389 0.9719 0.9230 90 • 968 -> b.OO C . C / 5 0. 0090 0.25fct C. 0500 0.3167 0.6021 0. 5796 115.9573

8.00 C.C75 0.00/0 0 • ; 5co C.05G0 '..3 39 9 0.7091 0.729

13o , 7763

10.00 C.G75 0.00)0 0 • ?5fc

0. C*>00 0 • 95o7 0. 7999 0.8697 159.6711

12.00 C.0 75 0.00)0 0.25fcb C.0500 *^"0.52 59 0.6782 1.0000. 176.33y2 f'l

2,00 0.C75 0.0090 0.5CCC C.C 5 00 0. 1209 0.9539 0.2605 61.7167

^.00 0.C75 C. 0090 0.5CCC 0.0500 0. 1906 0.7291 0.92o0 100. 87'jO

6.00 C.075 C.0**90 0.5CCC C.C500 0. 2512 0.9377 0.5796 129 .5859

6.00 C.C 75 U. 00 )0 0. 5CCC C .C300 0.3079 1.1193 0.7291 153.0 599

10.00 C.075 0.00)0 0.5 etc C. C50U 0 • 3606 1.2659 0. 869 7 173.2926 1 1

. 0«j 0.075 0.'>0)0 0.5 cot C .C500 0.9119 1.9015 l.OOJO 210.7071

i

2.00 C.C75 0.0070 0.7C7C 0. 0500 0. 1076 0. 56 96 0. 2605 69.2399

^.00 0.0 75 C. 00)0 0.7C7C C.C5C0 0. 1696 0.9092 0.9260 105. 0192

6.00 C.C75 0.00)0 0.7C7C .C.C5 00 0.2230 1.1826 0. 5796 135. 07i.b

6.00 C.C 75 0.00)0 0.7C7C C.C900 0.2722 1.9117 0. 729 1 159 .7599

10.00 C.C75 0. 0090 0.7C7C C .03OJ 0 . 3 1 dt 1.6108 0.8597 lb 1. Oil 7 r 12.00 C.C75 0. 009 U 0.7C7C 0.0500 0. 3630 1.7S72 1.0000 225.0767 [

I

2.00 0.075 0.0090 o.t etc C.C500 0. 1008 0.6921 0.2605 65. 5268

<».00 0.C75 0.00)0 0 . 1 6 6 C C .09 00 0 . 15o c •1.0369 0. 926 0 107,1186

6.00 C.075 0.0090 0.£6t0 C. C500 6 . 2 Oo

1.3593 0.57>^6 137.9052

8 . Ou O.C 75 0. 00)0 0. FttC C.C 5 00 C.2537 1.6213 0.729 1 163 .2256

10.0 0 C.075 0. Of' )0 O.fcttC O.C‘^OC 0.2966 l.o530 J . 6 6 s 7 1 6 6 • 02 7<3 12.00 C .075 G. )0 )0 0. ettu 0.C500 0 .3372 2.0659 I.OOj 0 232 . 8vJ6*3

2.00 0.075 0.00 '0 O.St59 C.C^f'O 0.0979 0.6872 0.2605 66. 1538

A .00 C.L/75 0.00)0 o.<;c5S C.05O0 0.1530 1.1131 0,9250 lOe. 17't7

6.00 C.075 0.''09 0 0.9t55 C. 0300 0. 2006 1.9567 0, 57')6 139. 33w» ) 8.0U C.C75 0.00)0 C.C 590 0.2999 1.7995 0.7291 169.952

10.00 0.075 0. CO )0 0.9059 C.c50C 0.28d9 1.9990 0. 8697 187. 3756

12.00 C.C 75 C .00 )0 0. 9659 C .c5O0 0.3295 2.2277 i.OCJO 236.61 J 7

2.00 0.075 0. C0 )0 0.99t2 C.0500 0.0969 0,7010 0.26J5 66. 3319

M,00 C .075 0.00)0 C .0500 0,1512 1.1381 0.9260 lOa. 9 '<9 3 b.OO C.075 0. CO )0 0.99641 r.c50o O.19o9 1.9C87 0. 57vt> 139 . 7‘t J 5

6 .00 C .075 0. CO )0 C .C 5-'0 0.2916 1.7897 0. 729 1 16 5. 9 7“ J IC .Oo 0.075 0. 00)0 0.9962 C.C 500 0.2 520 2.0970 0. 8697 1 e 7 . 6 > » i 12.00 C.0 75 0.00)0 0. 94^62 c.tooo C.3210 2.2796 1.0000 237.635)

I

28
FLOW DIA. MANN. SUPPLY CPAIN 0«<A1N FLOW ENTRY NORMAL PIPt LC'iCTH TO

L/S. COFFF SLOPE

fSlH)

SLOP?

(SIN)

ENTRY DEPTH

RATIO H/D.

ENERGY

ft. DEPTH

H/0,

normal OcPTH,

L/0.

2.00 Ml5 0.0090 0.25et 0.0250 0, 1493 0.3003 0.3328 74. 7487

4.00 0«075 0. T090 0.2586 C.0250 0.238^ 0.4714 0.5542 116. 5863

6.00 0,075 0. 0090 0 .2 56C. C250 0.3167 0.6021 0.7593 147.3931

8.00 0.175 0. 00 JO 0,2*66 0.0250 0 .‘^^94 0.7091 0.9556 l6o • 7634

10.00 C.075 0. 0090 0.2566 C.0250 0.4587 0. 7999 1.0000 IOd. 4^35

12.00 0.075 0.0090 0.2566 C.0250 '^•5259 0.6782 i.OOoO- 82.4533

2.00 0.C75 0.0090 0.5C0O 0.0250 0.1204 0.4534 0.3328 80.1538

A. 00 0.075 0. 0090 0.50C0 C.0250 0.190b 0.7241 0.5542 125.5291

6.00 0.C75 0. 0090 0.5CC0 0.0250 0.2512 0.9377 0.75‘»3 159.2294

8.00 0.075 C. 00 JO 0.5 etc C.0250 0.3074 1.1143 0.9556 163.1312

10.00 0.075 0. 00 JO 0.5CC0 C . 02 5 3 0. 3606 1.2659 l.OOOO 123. 89i8

12. OJ 0.075 0.0090 0.5 etc 0.0250 0.4114 1.4015 l.OOuO 101. '^169

2.00 0.075 0.0090 0.707C 0.C250 0. 1076 0.5646 0.3326 82.4540

4.00 C.C75 0.0090 0.7C70 C.C250 0.1696 0.9092 0.5542 129. 39m9

6.00 0.075 0. 0090 0.7070 C.0250 0.2230 1.1626 0.7593 164.3577

8.00 0.075 C.0090 0.7C7C 0.0250 0.2722 1.4117 0.9566 189. 42o2

10.00 C.075 0.0090 0.7C70 C.0250 0.31»6 1.6108 1.0000 133.7221

12.00 0.075 0.0090 0.707C 0.0250 0.3630 1.7872 l.OOOO 110.6230

2.00 0.075 0.0090 0.6660 0.0250 0. 1008 0.6421 0. 3328 83. 6576

4.00 0.C75 0. 9090 0.6660 C.C250 0.1586 1.0369 0.5542 131.4030

6.00 O.C75 0. 0990 0.6660 C.C250 a.20di 1.3543 0.7593 167.07^1

8.00 C.075 C. 0090 0.6660 0.C250 C.2537 1.0213 0.9556 192. 7649

10.00 0.075 C. 3090 0.6660 C.0250 0. 2966 1.6530 1.0000 137.8971

12.00 0.C75 0.9090 0. 6660 C.0250 0.3372 2,0659 l.OQuO 115.40il

2.00 0.075 0.3090 0.9659 C.0250 0.0974 0.6372 0. 3328 84. 2522

4. OO 0.075 0.0090 0.9t59 C.0250 0.1530 1.1131 0.5542 132 . -^250

6.00 0.075 C. 3090 0.9659 C.0250 C . 20u6 1.4567 0. 7593 l6o . 9 3 1

8.00 C.075 0. 9090 0. 9659 C .0250 0 .2444 1.7445 0.9536 199.

10.00 0.075 C. 9090 0.9659 C.C250 0.2854 1.9990 I.OOjO l4o

031 7 12.00 0.075 0. '90 JO 0. 9659 0.0250 0.3245 2.2277 i.OOwiO 117.7731

2.00 0,075 0.0090 0.9962 C.0250 0.0964 0.7010 0.332b 89.4212

4.00 C.075 0.9090 0.9962 0.0250 0.1512 1.1381 0.5542 132. 73oO

6.00 0.075 0. 0090 0.996^ C.C2 5U 0. 1984 1.4687 0.75^3 l6o. 8529

8.00 C.C75 0. 9090 0 .0\3 50 0.2416 1.7657 0.9556 199 . 9 3<i2

10.00 C.075 C. 30 JO 0.9962 C.C25C 0.2820 2.J470 l.GOoO 19c. 71jZ

12.00 C.075 0.0090 0. 99c<. C.0250 0.3210 2.2756 1.0000 lie. 9130
FLOW DIA. ttANN. SUPPLY CPAIN DRAIN FLCK ENTRY NORNAL PIPE. LENGTH T

L/S. C3*=fF SLCPE SLCPE 6HTRY depth ENERCY DEPTH NORHAL DEPTH.

ISXN) (SIN) RATIO H/0. tu : K/0. L/L>.

2.00 0.0090 0.2566 0.C167 0. 1A93 0.3003 0.3850 8A. 0A5A

^.00 0.075 C. 00)0 0.25ttj C.U167 0.238A 0.A71A 0.6A70 126.7AA9

^ 6.00 0.075 0. 0090 0.25t6 0.0167 0.3167 0.O021 0.3921 155. A ] 8.00 0.075 0.0090 0.2566 C.C157 0.3 39 A 0.7091 l.OGOO I16.r939

j 10.00 0.075 C.0090 0.2566 0. 0167 0. A587 0.7999 l.uUOO Vu.OOhB

I 12.00 0.075 0.00)0 0.256b 0.0167 0.5259 0.O782 *1.000 0 73.6A58 , 1

'I

2 .00 0.075 0.0090 0.5C0C 0.0167. 0. 120A 0. a5 3A 0.3650

It' 89.2367

A. 00 0.075 0.0090 0.5CCG C.0167 0.1906 0.72A1 0.6A70 135. AAo2

6.00 C .075 0.00)0 0.5CCC 0.0167 0.2512 0.9377 0.6921 167. A6t

8.00 0.075 0.0090 0.5 OCX C.C167 0.307a 1.11A3 i.OOuO 13x. 72^0

10.00 C.075 0.00 vO 0.5 OCX C.C167 0. 3606 1.2659 1.0000 lOo. )6'oH

12.00 0.075 0. 00)0 0.5CCO C.0167 0. AllA 1.A015 1.0000 92 , o29 7

2.00 0.075 0. 00 )0 0.7C7C C.0167 0. 1076 0 . 36 A 6 0. 3850 9i.A9/i

A. CO 0.075 0. 0090 0.7C7C C.C167 0. 1696 0.9092 0.6A70 139.2919

6.00 0.075 C. 00)0 0.7C7C C.0167 0.2230 1.1826 0.6921 172.17j1

8.00 0.075 0.0090 0. 7C7C 0.0167 0.2722 1.A117 1.0000 136.3795

10.00 0.075 0. 0000 0.7C7C C.C167 0.3166 1.6108 1.0000 1 lA • 65i 0

12.00 C.075 0.0090 0.7C70 C.0167 0.3630 1.7872 1.0000 lOi.2050

2.00 0.075 0. 0090 0.6660 C.C167 0.1006 0.OA21 0.3850 92.6923

A. 00 0.075 0.0090 0. 6660 0.C167 0.1536 1.0369 0.6A70 197.0222

6.00 0.075 0.0090 0.666C C.0167 O.2O0I 1.35A3 0.692 1 170.9351

8.00 0.075 0.0090 0. btt. C.C 167 0.2537 1.6213 1.0000 lAi .9961

10.00 0.C75 0. 0090 0.6660 C. 0167 0. 2966 1.6530 1.0000 llo. 7G56

12.00 C.075 0.0090 0.6660 C.C167 0.3372 2.0659 1.0000 105.9259

2.00 0.075 0. 0090 0.9(59 0.C167 0.097A 0.6672 0.3850 93.269 7 A. 00 0.075 0.0090 0.9659 0.C167 0.1530 1.1131 0. 6 A70 155. 72X)

6.00 C.075 0. 0090 0.9659 C .0167 0 . 20ub 1.A567 0.89217u. 3251

8.00 0.075 0.0090 0.9659 C.0167 0.2AAA 1.7AA5 1. OOo 0 193 • 7ao 3 10.00 0.075 0. 0090 0.9( 59 C.0167 0.235A 1.9990 i.COuO 12 0. 6vj2

12.00 0.075 0.0090 0.9659 C.Ol 67 0.32A5 2.2277 1. 0000 106.2 7*»3

2.00 C.075 0.00)0 0.9962 C.0167 0. 096A 0.7010 0.3850 93.3151

A. 00 C.075 0.00)0 0.9962 C.C167 0.1512 1.1381 0.6A70 l5o . 9 i-# i 6.00 0.075 0.00)0 0.9962 C.0lo7 0. 19bA 1.A687 0.8921 170. lAtl

8.00 C.075 0.00)0 0.9962 C .0167 0 . 2 A I 6 1.78A7 l.OOOO 19^, 293 3 10.00 0.075 0. 00)0 0.9962 C.0167 0 . 2 S2 0 2.0A70 l.OOoO 121. 5^25

12.00 0.075 0.0090 0.9962 C.G167 0.3210 2.27A6 l.OOOO 106 . 9i02

1 30
FLOW DU. SUPPLY DP A IN OKA IN FLOW Er4TRY NORMAL PI Pc -Lt.vi

L/S. COcFF SLCPf SLCPF fWlRY OEPTh Energy depth NOkniL Jc

CSIN) (SIN) RATIO rt/U. 11. H/0. L/0,

2.00 0.075 0. 0090 0.2588 0.0123 0. 1593 0.3003 0.5280 87. bo73

A. 00 0.075 0.0070 0.25fc<- 0.0125 0.23o5 0.5715 0.7251 . 12o.25 33

6.00 C.C75 0.0070 0.2 5t

C.C125 0.3167 0.O02I 1.0000 165.25^7

6. CO 0*075 c. oc:o 0.25feb C.M25 0. 3b95 0.70'^l l.OOuO 101. j2j7

10. CO 0.075 0. OOJO 0.25L6 C.0125 u. 5537 0.799^ J..0000 83.6233

12.00 C.075 0.0070 0*2 50b C.C125 0.3259 0.c7b2 i. OOuO 7u. OiiO

2.00 C.075 0. 0070 0.5000 0.0125 0. 1205 0.5535 0.5280 93. 0596

.5.00 0.U75 0.00 JO 0.5CC0 0.0125 0.190t 0.7251 0.7251 1 3o • 966

6.00 C.075 0.0070 0.5C00 C.0125 0.2512 0.V377 1. 0000 180. iOob

3.00 C.C75 O.IOJO 0. 5CC0 C.C125 0.3075 1.1153 1.0000 116.1131

10.00 0.075 0.0070 0.5C0C C.C125 0. 3606 1.2659 1.0000 lOo. 37 j9

12.00 0.075 0. JO JO 0.5CC0 C.0125 0.5115 1.5015 1.0000 8b • 7 ou 7

2.00 0.075 0.0070 0.7C7C C.0125 0 . 1076 0.565b 0.5280 95.2693

5.00 C.C75 C. 0090 0. 7C7L C .0125 0.1696 0.'/092 0.7251 15^.5373

6.00 C.075 C. J070 0.7C7L C.C125 0.223U 1. Ic26 1.0000 16b. 7z33

6.00 C.075 0.0090 0.707C C.C125 0. 27^:2 1.5117 1.0000 122. 69^:5

10.00 0.075 0. 0090 0.7C7C C.cl?5 0.31b6 l.olOS I.OOOO 1 C o . 'J 0 *> 2

12.00 0.075 0.0070 0. 7C7u 0.0123 0 • 36iO 1.7872 1. 0000 97.2992

2.00 0.075 0. 0290 0.8660 C.C125 0.1006 0.6521 0. 52b0 95. 151

5.00 C.075 0. 00 >0 0. attO C ^C125 0.15^6 1.0369 0.7251 159 .6831

6.00 0.075 C.0070 0.6t6C C.0125 0.2081 1.3553 I.OOOO 19u. 2o J 8 5.00 C.C75 c. 0 09: 0. (r tbw C.C125 0.2537 1.6213 i.OGOO 12o.Z3c 3 10. Oo C.07 5 0. 0 0 JO O.FOtC C.Cl 25 0.2 76b 1.8530 I.OOOO 112. 0 9t i 12.00 C.0 75 0. 0090 0. bttO G.Ol 25 0.3372 2 .0659 i. OOJ 0 101. -»9Jd

2.00 C.C75 0. 0070 0.9659 C.C125 C.0975 0.68 72 0.5260 93. 57j5

5.00 C.C75 0.909J 0. 9t59 C.C125 0. 1530 1.1131 0.725

152.3165

6.00 C.075 0. )070 0.9659 t.Cl?5 0.2006 1.5567 l.OOuO 192. 0653

? .00 C.C75 c. on JO 0. 9( *9 ( .C 125 0 .2555 1.7553 l.OOu 0 12 o. GUI

IQ. 00 C.C75 G. 0 0 JO 0 9 6 59 C.Cl ?5 0.2355 1.9970 1. 0000 115. 2i j3

12.00 0^075 0 . JO 7 0 0. 9659 C.c 125 0.3255 2.2277 1.00^ 0 lot . 3 3 J 9

2 .CO P.U75 0 . 0 0 J 0 0.996

C.C175 0 • 09o5 0.7010 0.5260 93.5051

5 .CG C.075 c. >: ^0 0.996^ C.t'l?5 C.1512 I. 1381 0.725 1 15j. 11 »7

6.0u C.C75 0.00 JO 0.9962 C.C12*> C . 19 o5 1.5567 1.0000 19... 5-. J'J .00 ( .C 75 0. JO <0 0.9962 C .U ?5 0 . 2 5 16 1. /a57 1 . OOu 0 1 2 O . 5 O . o

o . o c C.0 75 G. 00 JO 0.996 2 C .0125 U.23«.0 2.0570 I.O-JgO 1 1 5 . 5 7 / 12.00 0.0 7* 0.00 JO 0.996-2 0.6125 0.3210 2 . 2756 i.OOGO 105. tOv J

31
FLOW OIA. HAHN. SUPPLY DFAIN OIUIN TLOH ENTRY NORMAL PIPE LENGTH 1 ^./S. COEFF SLCP£ SLOPE ENTRY DEPTH ener&y DEPTH NORMAL DEPTH.

» V f SIN) (SIN) RATIO H/0. N. • : H/0. L/0.

2.00 0*0?5 0.0120 0.2586 C.C500 0.1810 0.2102

f’ 0.3191 36.6319

^.00 0.0120 0.2588 0.0500 0.2913 0.3257 0.5296 57.1489

6.00 0«075 0. 0120 0.25bb C.C500 0.3894 0.4116 0.7241 72.1624

6.00 0.075 0.0120 0.258b C.0500 0.4812 0.4613 0.9116 64.3317

10.00 0.075 0.0120 0.2588 c.0!>oo 0.569d 0.5386 l.OOOO 56.6411 j 12.00 0.075 0. 0120 0.2586 C.C500 654 6 0.5901 1.0000. 37.2790 [

2.00 0.C75 0.0120 0.5CCG C.0500 0.1454 0.3157 0.3191 40. 7664

^.00 0.075 0.0120 0.5C00 C.0500 0.2316 0.4980 0.5298 63.8034

b.OO 0.075 0.0120 0.50C0 C.0500 0.3074 0.t>369 0.7241 60.7601

8.00 C.075 0.0120 0.50CC C.G-sOO 0.3777 0.7511 0.9116 94.5010

10.00 0.075 0.0 12 0 0.5C0G C.C500 0.4446 O.o483 l.OOoO 6o.5^^0 1 12.00 C.C75 0.0120 0.5CCC C.C500 0.5093 0.9326 1.00^0 50.2442

2.00 0.075 0.0120 0.7C7G C. C500 0.1296 0.3924 0.3191 42.4726

. 0 0 0.075 0.012 0 0.707C 0.C500 0.2059 0.O232 0.5298 66 .5518

6.00 0.075 0.0120 0.7C7C C.0500 0.2722 0.6030 0.7241 64.4010

8.00 0.075 0.0120 0.7070 C.C500 0.3333 0.9533 0.9116 96.9061

10.00 C.07 5 0.0120 0.7C7C 0.0500 0.3918 1.0785 1.0000 73.’oo69

12.00 0.075 0.0120 0.7070 0.C500 0. 4475 1.1918 1.0000 56-1702

2.00 0.075 0. 0120 0.8680 C.0500 0.1214 0.4463 0.3191 43. 3460

^.00 C.075 0.0120 0.8880 0.C500 0. 1923 0.7117 0.5298 67.9977

6.00 0.075 0.3120 0.86t0 C. 0500 0.2537 0.9203 0.7241 66. 3192

8. GO 0.075 0. 0120 0.8880 C.0500 0.3103 1.O940 0.9116 101. 1972

10.00 C.075 0.0120 0.8880 C .6500 0. 3640 1.2430 1. 0000 76.7646

12.00 0.075 0.0120 0.8860 C.0500 0.4153 1.3762 l.OOoO 59.3613

2.00 0.075 0.0120 0.985S C. 0.5 00 0.1172 0.4775 0.31'91 43.77o2

A. 00 0.075 0.0120 0.4854 C.0500 0. 1852 0.7o55 0.5298 6o - 741

6.00 0.075 0. 0120 0.9854 C.0500 0. 2444 0.9693 0.72‘»1 67-2762

8.00 O.C75 C.G120 O.Sfcf

C.05C0 C.293t) 1.1788 . 0:.9li6 lo2. 37i2

10.00 0.07 5 0. 0120 0.9659 C.C500 0.34-#9 1. J423 1. 0000 70-2510

12.00 C.075 0.0120 0. 9859 C.L500 0.3992 1.4657 1.0000 6W.9631

2.00 0.07 5 0.0120 0.9982 C.C50O 0.1160 0.4373 0.3191 43.9010

4.00 0.0 75 0.0120 0.9982 C.6500 0.1832 0.7ol4 0.5298 6o • 94t» 1 6.00 C.075 0.0120 0.9982 C.0500 0. 24io l.ullu 0.7241 6 7. 36 3 0

8.00 0.075 0.0120 0.9982 r.059o 0.2952 1.2055 0.9116 102. 7166

10.00 C.075 0.0120 0.99't2 C.0^00 0.343*^ 1.3719 1.0000 7 6 . 6 6 U 12.00 0.075 0. 0120 0.9982 0.6500 0.39fd 1.6180 1.0000 61 • 42:; 3

32
FLOW OIA. MANN. SJFPLY r) AIN DRAIN FLOW ENTRY NORMAL PIPt length tc

L/S, h. CJEFf SLVPt

(SIN)

SILPF

(SIN)

ENTWY UtFTH

RAl 1.0 ri/D.

Energy

fl. DEPTH

H/D.

HOknAL DEPTH.

L/0.

2.00 0.«75 0.0120 0.2566 0.0250 0.1810 0.2102 0.9099 65.3729

4.00 €•0 78 0. 312 0 0.2‘fcfa C.C250 0.2913 0. 3257 0.6919 67.293 7 6.0U 0.075 0. 312C 0.2566 C.C2‘^0 0.3399 0.9116 0.9556 6u.C2o9

8.00 C.0 75 0 , n?o 0. 25tt C .0290 O.A312 0. td 1

l.OOUO 51. 9029

10.00 0.075 0.0120 0 . ?5bfc C.C250 U . 5690 0.5363 1. OOuO 38.6536

12.00 C.0 75 0.0120 0.258c 0.C290 0.6598 0.59P1 1.0000 29.5553

2.00 0.075 0.0120 0.5CC0 C.C250 0.1959 0.3157 0.9099 99. 16S9

^.00 C.075 0.0120 C.50CC 0.C250 0.2316 0.9980 0.O919 73.1979

6.00 0.075 0. 0120 0.5CGC €.^2*^0 u. 3079 0 • o 3 6 9 0.9556 87.7921

8.00 C .0 75 0.0120 0. 50CG C . G 2 5 0 0.3777 0.7511 i. OOGO 60 • 9 >d 5

10.00 C.075 0.0120 0.5CCC C . i? 5 0 0 . 9996 0 . 69 3 3 l.OOoO 99.601

12.00 C.C75 0.0120 0. 5CCC C.C250 G.5093 0.9326 1.0000 9i , 5 bo6

2.00 C.075 0.0120 0.7C7C C.C250 0. 1296 0.3929 0. 90-#9 5o • 7931

<».00 C.C7 5 0. 0120 0.7C7C C.0290 0.2059 0.OZ32 0.6919 73. 7575

6 . Oo C.075 0.0120 0.7C70 C . G? 5 0 0.2722 0.6030 0. 9656 91.2 ‘ y 9

8.00 0.0 75 0. 0120 0.7C7C o.c,?*-.: 0.3333 0.S533 1.0000 6 3 . 9 3 J 9 10.00 C.075 0.0120 0.7C7L C.L250 0. 3918 1 • u7 c 5 1.0000 5s • 6 S3 9

12.00 0.075 0.0120 0.707C C.C250 C.9975 1.1916 1. OOv^O 97 .2546

2.00 C.075 0.0120 0. ettc r.C250 0.1219 0.9963 0.9099 51.5813

^.00 C.075 0.0120 0.^660 C .0250 0.1923 0.7117 0.6-J19 77 . l64 9

6.00 C.G7 5 0.0120 0.8660 ('• o2 50 0.2537 0.s2'J3 0.9536 93. lo75

8.00 C.l 75 C. 012 0 0. 86 tC C.L25V 0.3103 1 • g990 1.0000 b7.7^-r7

10.00 C.075 0. 012'J 0 . c ( 6 G C. l?50 0 . 3 69C 1.293D 1. OUuO 5 7.91

12.00 0.C75 C. 0120 0. t'6tO C • G 2 5 0 0 . 9 15 3 1.3762 i.OOw^O 5 0 . 3 3o -y

2.00 C.075 0.0120 O.'ft 5^i C.C250 0.1172 0.9775 0.9099 5i.99ul

A. 00 C.075 0 . 0 L 2 0 0.065s C .C2*^0 0.13?2 0.7655 0.6919 77.nSJl

6.00 C.C7 5 0.012U 0.0659 C . C 2 5 c 0.2999 0 . V: 9 3 0.9530 99 . I9w 9

iJ .00 0.075 0. 0120 0.9659 0.L2 5.J G . 29.16 1.1760 1 • G 0 0 6S. 01 #2

10.00 C.C75 0. 0120 0.9 6 59 C,.'.2‘'0 i' . 39 69 1.3923 1. GOOO 5 c • 1 9 1 s 12.00 C.075 0. 0120 0.9659 ( .G2‘

0.3 #9 4; 1.9C57 1. OOk^ 0 5 4. yii2

2.00 O.C75 0. C120 0.9961 C.G250 G' . lioO O.Hc 73 0. 9099 54 . 1173

^ .Ou C.C75 0.0120 C. 9961 C.L250 G. 1332 0.7619 0.6919 7c . J 6.00 C.075 0. 312 0 0.996 2 C.C250 0 . 2916 l.ul 16 0.953 0 99 . 9c 2

8 .00 ( 0, 012

0. 9964. c. l.:5 0 C.29:j2 1 .4 a'-o 1. 00-

6s. 37 2

1 0 . 0 j ( .075 C . 0 1 2 •

•).996l C .62 50 0. 3 9v9 1.371

1. O'JOO 5 9.2 3 / 1 12.00 0.0 75 0.0120 0.9961 f

g250 w.39SiJ 1 . o 1 d C 1 • OOw 0 52 . jsS 3

33
FLOW DU. HASN. supply CPAIN DRAIN FLOW ENTRY NORHAL PlPti LENC

L/S. .n. CO€FF SLOPE

ISIH)

SLOP?

(SIH)

ENTRY DEPTH

RATIO M/0. . Energy

«.

• DEPTH

H/D.

NORHAL 3E

L/0.

2.00 0.0120 0.2566 0.0167 o.iaio 0.2102 0.4753 46. 1400

4,00 0.075 C. 0120 0.256b 0.0167 0.2913 0.3257 0.8110 6 3 . 7 32 6

6.00 0.075 0.0120 0.2 5to 0.0167 0.3894 0.4116 1.0000 56. 906 0

d.OO 0.075 0,0120 0. 25tb C.C167 0. 4812 0.4613 I. 0000 44. 4526

10. GO 0.075 0. 0120 0.25tb 0.01 67 0.569b 0.5388 1.0000 35. 40d5

12.00 0.075 0.0120 0,2566 C.0167 0.6546 0.5901 1.0000 27. 7305

2.00 0.075 0.0120 0.5C0C C.0167 0.1454 0.3157 0.4753 49. 6925

4.00 0.075 0.0120 0.5CC0 0,0167 0.2316 0.4980 0.3110 69.6196

6.00 0.075 0.0120 0.5CCC 0.C167 0.3074 0 • 6369 I.OOjO 64.7537

a . 00 0.C75 C. U2 0 0.5CCG C.0167 0.3777 0.7511 1.0000 53. o033

10 . oc 0.075 0.0120 0.5CC0 C.C167 0,4446 O.O403 i.OOoO 46. 0944

1 2.00 0.C75 0.0120 0. 5 cot C.0167 0.5093 0.9326 l.OOOO 39.4833

2.00 0.075 0.0120 0.7C70 0,0167 0. 129t 0.3924 0.4753 51.23L7

4.00 C.075 0 . nzo 0.7C7C C.U167 0. 2059 0.O232 O.bliO 72.2713

6.00 C.G75 0. U20 0.7C7C C. C167 0.2722 0.a030 i.OOoO 6c . 359 7

8.0'J 0.075 0.0120 0.7C70 0.C167 0.3333 0.9533 1.0000 5o. 17/6

10.00 C.075 0.0120 0.7C70 C.0167 0.39itt 1.0785 l.OOuO 5i.06V4

12.00 0.C75 0.012 0 0. 7C70 C.C167 0.4475 1.1918 1.0000 45.0718

2.00 0.075 0. 0120 o.e etc 0.0167 0.1214 0^4463 0.4753 52. 1350

4.00 C.C75 0.0120 0 . 6 6 c C C.C167 0.1923 0.7117 0.8110 75.5o36

6.00 0.075 0.0120 0.66fr0 0.0167 0.2537 0.92 03 I.OOUO 70. 3122

8.00 0.C75 0. 0120 0. tttl) C.0167 0.3103 1.0940 L.OOuO 60. 5129

10. CO 0.U75 0. 0120 O.bttC 0.0167 0.3640 1.2430 1. 0000 53 . 8015

12.00 C.C75 0. 0120 0 . at to 0.0167 0.4153 1.3762 1. OOU 0 43. 1232

2.00 C.075 0.0120 0.9659 C.0167 0.1172 0.4775 0.4753 53. 2268

4.00 0.075 0. 1120 0.9659 r.C167 0.1852 0.7655 0.8110 77.3669

6.00 0.075 C. 0120 0.9659 C .Ol 6 7 0. 24h4 0.9893 1.0000 71.3004

8.00 0.075 0. 01 20 0.9659 C.0167 G a 29b 0 1.1768 1 . OOU 0 6 1 a 7246

10.00 0.075 0. 0120 0.9659 C.C167 0. 34v<9 1.3423 1.0000 5b. 21^0

12.00 0.075 0.0120 0.9659 C.0167 0.3992 1.4857 l.OOOO 49.68bl

2.00 0.075 0.0123 0.99t^ 0. 0167 • 0.1160 0.4C73 0.4753 53, 6474

4.00 0.075 0.0120 0.99t<. 0.0167 0.1332 0. 7tl4 0.8110 77. i 4b6

6.00 0.075 0. 0120 0.9962 C.C167 0.241

1.0118 l.OOOO 71.6006

8.00 0.075 0, 012

0.99t2 0.0167 U.2952 1,2055 l.OOuO 6 ^ . 0 3 U 0

10. OG C.075 0. 0120 0.9962 C.0167 0.3469 1.3719 l.OOuU 5b « ol i

12.00 0.075 0. 012u 0. 99c2 0.0167 0 . 3 99 0 1.518J 1 . ocoo 5o. 1125

34
FLOW DIA. SUPPLY CRAIN . DRAIN F LCH ENTRY NURPAL PIP& LE.'iGTH T£

L/S. ^ • COFFF SLOPE SLOPE ENTKY DEPTH Energy OEPTrt normal JsPTrl.

CSIN) ISIN) RATIO H/O. n. H/U. L/D.

2.00 0«07*> 0.0120 0.2586 C.0125 O.ldlO 0.2102 0.5296 9^.6950

A.OO 0.075 0.7120 0.25b6 C.0I2!? 0.2913 0.3257 0.9116 52.70O0

6.00 0.075 0.0120 0.2566 f .C125 0. 3d4A 0.9116 1.0000 5o • 295 3 ?J.OO C.C75 0.0120 0.2566 C.C12!? c . A 6 1

0.9S13 1.0000 91 . 62o d

10.00 C.075 0. 0120 0.2566 C.0125 0.5696 0.5386 . I.OOOG 39.0009

12.00 C.C75 0.0120 0.2 56c C.0125 0.6556 0.5901 l.OOu 0 2 6 . 6 9 9 1>

2.00 0.075 0.0120 0.5C00 C.C-125 0. 1A5A 0.3157 0.5298 96.9392

A.OO 0.075 0.0120 0.5CC0 C.C125 0.2316 0.9900 0.9116 50.2973

6.00 0.075 0.0120 0.5CC

0.0125 O.3074 O.o369 1. 0000 5 7. 99j 5

d .00 C.075 0. 0120 0.5CCO C.t 125 0.3777 0.7511 i. JOOO 5 1 • 0 b 7 5 10.00 0.075 C. 012U 0.51-CL C.0125 0.54^6 0.0903 1. COo 0 99 • 569 /

12.00 0.075 0.0120 0.5C00 C.0125 0.5093 0.9326 1. OOOO 3 o • 5 L 9 o

2.00 0.075 0. 0120 3.7C7C C.0125 0. 1296 0.3929 0. 5293 9c . 2 79

9.00 O.C 75 0.0120 0.7C7C C.tl?5 O.2059 0.O232 0.9116 60.7163

6 • CO 0.075 0.0120 0.7C70 C.Ol 25 0. 2722 0 • oO 30 1. 0000 61. 3b6 0

8.00 C .L 75 0. 0120 0.7C70 C.L125 0.3333 0.9533 1.000

5 5

9 i j b

10. OC 0.075 0. 0120 0.7C7L C.0125 0.3916 1.0765 1.0000 9'» . 5u9 3

12.00 0.075 0.0120 0. 7070 C.0125 0.9975 1.1918 1. OOOO 99. Ob/9

2.00 0.075 0.0120 0. c66C C.0125 0.1219 0.9963 0.5296 99 . 55 Jb

9.00 C.0 75 0.0120 0. i- ttc C.C125 0.1923 0.7117 0.9116 b^.. 0371

6.00 C . C 7 5 0. 0120 0 .fc 660 0.0125 0.2537 0.9203 1.0000 b 3 • 505 3 3.00 O.C75 0.012 0 0. 566. . C.^l?5 0.31J3 1.0990 1.0000 5 7.7-33 0

10.00 0.075 0. 0120 0.6660 C.C125 0 • 3690 1.2930 1.0000 5c. 1. 2 c 0

12. Ou O.C75 0. 0120 0. 6660 C.L125 0.9153 1.3762 1.0000 97 . 102 9

2.00 C.075 0. 3120 0.9659 f .0125 U. 1172 0.9775 0.5298 5o. 133 5

9.00 C.075 o.oiao 0.9659 C.0125 0.1352 0.7b55 0.9116 b^ • 7lo9

6.00 O.C75 0.0120 0.9t 59 C.Ol ?5 0 . 2 99 9 0.93Q3 1.0000 6*» • 9 c 75

8.00 C.075 0. U20 0.9659 0.0125 b . 2‘^c f> 1.1735 1 . OOuu 5c « ‘35 9

lO.O'j 0.075 0. U20 0.9659 C.0125 0.3999 1.3923 1.0000 53. 632 3 12.00 0.075 0.0120 C.9659 C.0125 0.3992 1 .9o5 7 i.OOuO 9c • 5 55 i

2.00 C.075 0.0120 0.9962 C.0125 0.1160 0.9673 0. 5298 5l. 379 5 9.0U 0.075 0.0120 0.99ti C . 1 1 2 5 C. lo32 0.7al9 0.9116 6«i .9:)bJ

b .00 C.C75 0.0120 0.9962 0.L125 0.2916 l.Uilo l.OOuO 65 • 7 1C. d

3.00 C.l 75 0.3i?o 0.9962 C.cl ’5 0 . 29b2 1 . 2 0 5 5 1 .OOjO 59.2 .. 7 10. Go C.075 0. 0120 U.‘;96<^ C.C125 0 . 395^^ 1.3719 l.OOoO 59. T2il

12.00 C.t 75 0.912'J 0.9962 C . C 1 2*' 0. 399;, 1.5160 i.GUOU 9 • j 1 2 7

35
flow CIA. hAHW. SUPPLY CPAIN DRAIN FLOW E.-4TRY NORMAL

L/S. H. COEFF SLOPE SLOPE ENTRY depth ENERGY DEPTH

• (SIN) (SIN) RAT 1

H/0. N. H/D.

2.00 M75 0.0150 0.2566 0.0500 0.2103 0.1614 D.374 3

4.00 0«0 75 0.0150 0,2566 0.C500 0.3411 0.2471 0.6284

6.00 0.075 0.0150 0 .2 5o t 0.0500 0. 45t)7 0.3100 0.8647

8.00 C.075 0.0150 0.2566 C.0500 0.5696 0.3602 1.0000

10.00 0.075 0. 0150 0.25t6 0.0500 0.67b3 0.4029 1.0000

12.00 0,015 0.0150 0.2566 C.0500 0.7806 0.4391 ' 1.0000

2.00 0.075 0.0150 0.5OCC 0.0500 0 . I6d6 0.2394 0.3743

4.00 0.075 0.0150 0.5CC0 0.0500 0.2703 0.3731 0.6264

6.00 C.075 0.0150 0,5000 0.0500 0 . 3606 0,4730 0.8647

8,00 0.075 0.0150 0.5CC0 0.0500 0,4446 0.5549 1.0000

10.00 C.075 C.0150 0.5CCC C. 05 'JO 0.5249 0.o240 1.0000

12,00 C.075 0.0150 0.5CCG C.C500 0.6C40 0.6611 l.OOJO

2 .00 0.075 0.0150 0.7C7C C.C5C0 0. 1503 0.2966 0.3743

4.00 0.075 0.0150 0.7C70 C.C500 0.2399 0.4659 0.6264

6.00 C.075 0.0150 0.7C7C C.U500 0 . 3lo6 0.5952 0. 8647

S.OO 0.075 0.0150 0. 7C70 0.0500 C.39I6 0.7008 1.0000

1C. 00 0.075 C.0150 0.7C70 0.C5OO 0.4617 0. 7904 1.0000

12.00 C.075 0.0150 0. 707u 0.0500 0.5268 0.8692 1.0000

2.00 0.075 0.0150 O.fetOO 0.C5OO 0.1405 0.3369 0.3743

4,00 0.075 0. 0150 O.tfctO C.C500 0.223b 0.5316 0. 628 4

6.00 C.075 0.0150 0.£6fc0 0. 6500 0 . 2966 0.6813 0.8647

6.00 0.075 0.0150 0.6t.

C.0500 0.3640 0.8053 1.0000

10.00 0.075 0.0150 0.6660 C.C500 0.42o0 0.9116 1.0000

12.00 C.075 0,0150 0.6660 0,0500 0.4897 1.0038 l.OOuO

2.00 C.075 0.C150 0.9659 C.C500 0. 1356 0.3605 0.3743

4.00 C.075 0.0150 0.9659 C .0500 0.2155 0.5714 0. 628 4

6.00 O.C75 0.015C 0.965<^ 0.0500 0.2a54 0.7334 0. 8647

6.00 C.075 0.3150 0.9e59 0.0503 0,34^9 0 . 8 6 s 5 i. OOoO

10.00 C.075 0.0150 0.9659 0.C500 0.4114 0.9827 1.0000

12.00 0.075 0.0150 0.9659 C.0500 0.4705 I. 0833 1.0000

2.00 O.C75 0.0150 0.9962 C.0500 0.1342 0.3661 0.3743

4.00 0.075 C.0150 0.9962 0.0500 0.2133 0.5327 0.6284

6.00 0.075 0.0150 0.996.: C.0500 0.2820 0.7505 0.8647

E .00 C.075 0.0150 0.<;962 0,0500 0.3459 0. 8374 i.OOuO

10.00 0.075 0.0150 0.9962 0.C500 U. 40o5 1,0054 1.0000

12.00 6.075 0.0150 0.9962 0.0500 0.4O51 1.1073 1. 0000

36

PI Pi Lcr^CTH T MORrtAL OEPTH.

L/0.

25.29/J9

3b. ^956

At). 9234

34.1350

21.5631

14.1641

26.1506

43,0253

52.7245

41. 1453

29.2343

22. 6614

29, 3730

45 . 0014

53. 3296

44.3932

35.0452

26.7642

30.C179

4o. 0559

56.7205

4o, 1723

35.0eo5

29 • 042 3

30. 3335

46. 6006

57,4335

47.094 7 30.1150

3o . 167 i

30. 4343

46, 7449

57.6576

47 . 35u d

3 c . 4 2 u4

3u. 5J9o

ii
FLOW CIA. MANN. 5UPFLY CPAIN DRAIN FLOW ENTRY NORMAL PIPfc L£.4 0TH Tl

L/S. CJEFF SLOPS SLOPE FNTRY depth Energy depth nop.nal depth.

i fSiM) <SJN) RATIO H/L. n. H/0. L/0.

2.00 0«075 0. 0150 0.25fcb C.u250 0.2103 0.1614 0.4632 27.6673

4.00 C.075 0.0150 0.25bb r .0250 0.3411 0.2471 0.8257 37.3730

6.00 C.075 C.0150 0.25fcb C.C250 0. 43b7 0.3100 l.COuO • 3

• 76a

tt.OO 0.075 0.0130 0.25fct C.C250 0.569b 0.3602 1.0000 23 • b'lc 5

10.00 C.075 0. 0130 0.25fcb C.C250 0 a 67o3 0.4029 1 • 00 0 0 l/.54t?

12.00 0.C75 0.0130 0. 25bo C.C250 0 • 780 o 0.4391 I.OOOO 12. iv73

2.00 0.C75 0.0150 0.5OC0 C.C250 0 . loab 0.2394 0.4632 30. 2307

4.00 C.C75 0.0150 0.50CO C .0250 0.2703 0.3731 0.8257 41.5546

6.00 0.075 C. 0150 0.5 CCC 0.0250 0 . 3606 0.4730 1. OOUO 37. 2575

8.00 C.075 0.0150 0.5CGC 0.U250 C .4446 0.5549 1.0000 30.1712

10.00 0.075 O.0130 0.5CCw 0.C250 0. 5249 0 . 62 4 0 1.0000 24.3314

12.00 C.0 75 0. 0150 0. 5CC0 C.0250 0.6040 0.6611 1 • 000 0 20.1304

2.00 C.075 0. C150 0.7C7C C.02 50 0.1503 0.2966 0. 4632 3i. 404

4.00 0.075 0.0150 0.7C7C n.u250 0.2399 0.4659 0.8237 43 . 49 i. 9

6.00 C.075 0.0130 0.7C7U C.0250 0. 31o6 0.5952 1.0 00 0 39. 3 3 j 7 b.OO C.075 0.0150 0.7C70 C.C250 0. 39i.b 0.7006 l.OOuO 33. 23b

10.00 C.C75 C. 01->0 0.7C7C C.0250 u. 4617 0. 7904 I.OOjO 26.3351

12.00 0.075 0.0130 0. 7C70 C.0250 0.523b 0.3692 1.0000 24. 0626

2.00 C.075 0.0150 0.666C C.C250 0. 1405 0. 3369 0.4632 32.0373

4.00 0.0 75 0.0150 0. C C.C-2 50 0.223b 0.5316 0.6257 44 • 54?o

6.00 C.075 0. 0150 O.fct tc C.02 50 0. 2966 0.6613 l.OOoO 4 i. 2 6 j2

8.00 C.075 0. 0130 0.8C f'.o250 O . 364 0 0.b053 i.OOOO 34.9662

10. CO 0.075 0.0150 O.i: 6t0 C.0250 0 . 42b0 0. 9116 I.OOOO 30.3131

12.00 C.075 0.0130 0.6660 C.0250 0 • 4 6 -y 7 1.O033 I.OOjO 2b.2o#5

2.00 0.075 0.0150 0.S659 C.025G 0.1356 0.3605 0.4832 32. 3aal

4.00 0.075 G. 0150 0.9659 C.G250 0.2155 0.5714 0.8257 45. 09 J

6.00 C.075 0.0130 0.9t 59 0.C250 0 . 2364 0.7334 l.UOoO 42 . JOi

5.00 C.0 75 0. 015

0.9t 59 C .0250 0. 3499 0.3665 I.OOjO 3 5 . C 5 3 J 10. CO C.C7 5 C.0150 0.9t 59 C.C250 0.4L14 0.9627 i. OOuO 31. 316

12.00 0.0 75 0. 0130 0.9659 C.0250 0.4705 1.0333 1. OOoO ^ 7 • 3 'c 9

1 2 .00 0.075 0.0150 0.9962 C.0250 0.1342 0.3681 0- 4832 • 451

4.0O C.075 0. 0130 0.9962 C.t? 50 0.2133 0.3627 U

82p 7 45. 2**4 4

6.00 O.C75 C. 0150 0.9962 C.0250 0.2a20 0./505 1. OOuO 4fc • 22 a 8.00 C:.L75 C. 0130 0.99t2 C.C250 0.3459 0.3U74 1.0000 3 o . 1 j 5 5 lo.f'o C.075 0. 01^0 0.99<2 C. 02 5u o .4 JO

1.0054 1. OOUO 3 i. . 1 J H 12.00 0.0 75 0.0130 0.9962 0.0250 0.4o51 1.1073 I.OOjO 2 7,0 >7 J

I

37
FLOW CIA. MANN. SUPPLY

L/S, N« COEFF SLOPE

(SIN)

rPAlN DRAIN FLOW ENTRY

SLOPE ENTRY DEPTH ENERGY

(SIN) RATIO H/D. n.

NORMAL PIPfc LE.4CTM 1 depth normal depth*

H/0- L/0,

2.00 «»07S 0. 0150 0.2586 0.C167 0.2103 0.1614 0.5630 23.0455

4.00 CU075 0.0150 0.2566 0.0167 0.3411 0.2471 0.9712 23.4572

6.00 0.075 0.0150 0.2566 C.0167 0.4567 0.3100 l.OQOO 27.1040

8.00 0.075 C.0150 0.2506 C.C167 0.569a 0.3602 1.0000 21.7743

10.00 0.075 0.0150 0.2566 C.C167 0.67o3 0.4029 1.0000 1<> . 556o

12.00 0.075 O.:i50 0.2566 0.U67 0.730b 0.4391 1.0000 11.663?

2,00 0.075 0.0150 0.5 COG 0,Cla7 0 . I66t> 0.2394 0.5630 25. 607 5

4.00 0.C75 0.0150 0.5C00 0.C167 0,2703 0,3731 0.9712 25.2314

6.00 0.075 0.0150 0.50C0 0.C167 0.3606 0.4730 l.OOOO 32 . 4463

3.00 0.075 0.0150 0.5CC0 C .0167 0.4446 0.5549 1.000 0 20.1049

10.00 0.075 0. 0150 0.5C00 C , 0167 0.5249 0.6240 1.0000 23. 6346

12.00 C.C75 0.0150 0.5C00 0.0167 0.6040 0.6611 1.0000 19.4231

2.00 0,075 0.0150 0.7C7G C.C167 0. 1503 0.2966 0.5630 26. 6014

4.00 0.075 0.0150 0.7C70 C.0167 0.2399 0.4659 0.9712 22. 2652

6.00 0.075 0.0150 0.7C7G O.Gl 67 0.3166 0.5952 1.0000 35. OOob

8.00 C.075 0.0150 0.7C7C C.0167 0.3916 0.7006 1.0000 31.1552

10.00 C.C75 0.0150 0.7C7C C.G167 0.4617 0.7904 1.0000 27,1436

12.00 0.075 0.0150 0.7070 0.G167 0.5266 0.6692 1.0000 23.3270

2,00 0.075 0.0150 0.6ttC C. C167 0.1405 0,3369 0.5630 27.4506

4. CO 0.075 0.0150 0. t66C C.C167 0.223O 0.5316 0.9712 34-7112

6.00 C.G75 0.0130 0 . 1 1 6 C C.C167 0. 29o6 0.t>bl3 l.OOGO 3b. 4031

8.00 0.C75 0. 0130 0. c660 0.C167 0 • 364 G 0.6053 1.0000 32 . 8464

10. CO 0.075 0.015C O.ttto C.L167 U.42o0 0.9116 1.0000 29. 09 >2

12.00 0.G75 0. 0150 0 . EttC 0.L167 0.4697 1.0036 1.0000 25.4914

2.00 0.075 0.0150 0.9t59 0.0167 0.1356 0.3605 0.56J0 27. 7777

4.00 C.C75 0.3130 0.5059 C.C167 0.2155 0.5714 0.9712 72. 5966

6.00 0.075 0.0150 0.9659 0.C167 0.2654 0.7334 1.0000 37.1311

e.oo 0.G75 0.0150 0,9659 C.C167 0.3499 0.6635 1. 0000 33. 7261

10.00 0.075 0.0150 0.9659 C.U167 0.4114 0.9o27 l.OOoO 3 0

0 Jr 0

12.00 0.075 0.0150 0.9059 C.0167 0. 4 705 1.0633 1.0000 26. 5946

2.00 0.075 0.0150 0.9962 C.0167 0.1342 0.3661 0.5630 27.5739

4.00 0.075 0.0150 0.9962 C.C167 0.2133 0.5b27 0.9712 5 7 • 7 44 y

6.00 0.075 0.0150 0.9962 0.0167 0.2b20 0. 7505 1.0000 37.3542

6.00 C.075 0.0150 0.9962 0.bl67 0.3459 0.6374 I.OO'jO 33.9733

10.00 0.C75 0. 0150 0,9 962 C. 0167 0.4J63 I.UU54 1 . ooou 30. 3«43

12.00 0.075 0.0150 0.9962 0. l1 67 0.46^1 1.1073 1.0000 2b.90o3
•LOW

iL/s.

1

I

2.00

A.Ou

6.00

9.00

10.00

12 ,0u

2.00

4.00

6.00

^ • 0 G 10.00

12.00

2.00

4.00

6.0C

8.00

10. CO

12.00

2.00

4.00

6.00

8. CO

10.00

12.00

2. CO

4.00

t .00

:5 . CO

10.00

12.00

2 .00

4.00

6.00

9 . Oo

1 0 . C J 12 . 00

CIA, HAMS. SUPPLY r PAIN DRAIN FLOW ENTRY NORNA l PIPfc length Tt

COEFF SLCPfc SLOPE ENTRY depth ENERGY DEPTH NORHAL DEPTH.

(SIH) f SIN) RATIO H/D. N. H/0. L / j .

«^75 0.0150 0.256b C.0125 0.2103 0.1614 0. 62o 4 6.5>»79

€•075 0.0150 0.2598 0.0125 0.3411 0.2471 1.0000 22.6261

C.CTS 0.0150 0.25bb 0.C125 0 . 4 5 b 7 0.3100 1.00'J 0 25.4236

C.C7S 0.0150 0.25 fcc C . C I 2 5 0.5606 0.3602 1. OOjO 20. '4 1 7 0.C75 0. 0150 0 . 2 5 1

C. U25 0.6763 0.4029 1.0000 l6. 1022

0.075 0.0150 0.2 5 b c C.012S C . 7o0 6 0.4391 1.0000 ii. 4143

0.075 0.0150 0.5 CCG C.0125 0 • L 6 b 6 0.2394 0.62o4 lb. 9 0 o 9 0.075 0.0150 0. 5CGC f .C125 0.2703 0.3731 1.0000 26.7413

C.075 0.0150 0.5 GCO 0.C125 0 . 3 6uo 0.47 30 1. 0 00 0 3 0. 7 0 i

C .C 75 C. -)l30 0. 5C0C C.0125 0.4446 0. d549 i.OOo 0 2 7.2'j7 5 C.075 0.0150 0.5 CC 0 C. C125 C. 5244 0 . o2 40 1. 0000 2 3. 1523

O.C 75 0.0150 0.5CL0 0. L135 0.6040 0.O311 i.OOoO l4.04j 7

C.075 0.0150 0.7C70 C.0125 0.1503 0.2966 0.6264 17.4946

0.0 7 5 0.0150 0.7070 0.0125 0.2399 0.4659 1.0000 26.7239

O.C 75 C. 0150 0.7C7C C.C125 0.3166 0.P952 i.OOuO 33.25j0

C.075 C . ) 1 5 0 0.7070 C .0125 0.3916 0.7003 1. 0000 30. 2323

C . C 7 5 0.0150 0.7C70 0.C125 0.4617 0. 7904 1. 0000 26.5335

C.075 0.0150 0. 7C70 0.0125 0 , 52ob 0.0692 1, OOUO 22. 9662

C.C75 0.0150 0.6660 C.0125 0.1405 0.3369 0 • 62o 4 lb • 3400

C.C75 0.0130 0 . fc 6 1 C O.Cl 25 0.2238 . 0.5316 i.OOJO 29. 3342

0.075 0.0150 0. b6 to C.C125 0.2466 0.68 13 1. OOoO 34. 6 J 9 J C.075 0. 0150 0. 6660 ( . C 1 ? 5 0 364 0 0.8053 l.OOuO 31.'4l4o

C.075 0.0150 0 . b 1 1 C C.0125 0 . 4 2 b 0 0.911b I.OOjU 2 b . 5 3i 7 C.075 0.0150 C.L 660 C.0125 0. 4397 1 . U u 3 0 1 .000 0 25. 114 3

0.075 0. 0150 0.9t 59 C.C125 0. 1356 0.3605 0.62o4 19. 172 4

C.C75 0.0150 0.9659 0.C125 0.2155 0.5714 I.OOUO 30.4169

C.C75 0.015C 0.9659 C.0125 0.2854 0.7334 1.0000 35.363 7

C .C75 0. )l30 0.*-65^ 0.012‘j u . 3 4 < 9 0. Jcb5 1 . OOo 0 3^.74.

C.C75 0.2150 0. 9< 5 9 C.0125 0.4114 0.9b 2

1.0060 2 9 . 5 1 »

C.075 €.0150 0.9659 C .0125 0.4705 1.0033 1. OOjO 26. 2 17 9

C.075 0. C150 0.9962 C.C125 0. 1342 0.36H1 0.62o4 19. 5493

C.075 0.0150 0-9962 C .61 25 0.2 133 0.5827 l.OOOG 30.5727

0.C75 0.0150 0.9962 C.C 125 0.2d20 0. 7505 I.OOuO 35 . 58

C.C 75 C . 9 1 5 0 C.99(

0.61 75 6.3469 0. 5cj74 l.OOOO 3 3 . 0 J 7 J C .675 0.0150 0.9962 0.0125 0 • 40o 5 1.6054 1, 0000 2 4 . o 1 2 4 O.C 75 C. 91 50 n.99t<: ( .0 1’5 6.4651 1.1073 1.0000 2 6 « 5 2 J J

39
FLOW DIA. HANN. SUPPLY OFAIM drain flow ENTRY NORMAL PIPt LENGTH

L/S, H. COEFF SLOPE

<S1N)

SLOPE

(SIN)

ENTRY DEPTH

RATIO N/0.

ENERGY

n. depth

H/0*

NORMAL DEPTH.

L/0.

2.00 W075 o.ouo 0.256b 0.0500 0.238A 0.1312 0.A28O 18.0963

A.OO ©AO 75 O.OHO 0.25bt C.C500 0.389A 0. 1992 0.72A1 25.850A , 6.00 0.075 O.OllO 0.2560 C.03O.) 0.5259 0.2A91 1.0000 31.1132

8.00 0.075 O.Ol iO 0.2566 C.G500 0 • 6 5A ti 0.2896 l.OOOO 15.8033

10.00 0.075 0. QUO 0.256b C • 0300 U.7308 0. 3223 1.0000 lO.lAod ; 12.00 0.075 0.0130 0.25t6 0.0500 0.9028 0.3523 * 1.0000 5. 78o0

2.00 0.075 0.0130 0.5CC0 0.C500 0. 1906 0.1917 0. A280 20. 1A23

A. 00 0.075 0.0130 0.5CC0 C.05o6 0. 307A 0.2959 0.72A1 29.07OA

6.00 0.075 0.0130 0.5CCG C.C50U 0. AHA 0.3735 1.0000 36.33AA

6.00 0.075 0.0130 0.5CC0 C.C500 0.5093 0.A357 l.OOUO 20. 6052 ' 10.00 0.075 0. 01 JO 0.5CCC C. 05 00 0. 60A0 0.AH68 1.0000 15.A670 i 11 12.00 0.075 0. 0130 0.500C C.0500 0.69AO 0.5326 1.0000 11.5A12

2.00 0.075 O.OliO 0.7C7G C.C500 0. 1696 0.2368 O.AZaO 21. 063 8 j A. 00 0.075 0.0130 0. 7C70 C.C500 0.2722 0.3682 0.72A1 30.5722 ^ 6.00 0.075 0. 01 JO 0.7C7C 0. 05 00 u • 3630 0.A672 1.0000 36.8032

8.00 0.075 0.0130 0.7070 O.CiOO O.Ah75 0.5A8A l.OOOO 22.9777 , 10.00 C.075 0.0130 0.7C7C 0.C500 0.5238 0.O157 1.0000 Ic.l6u0 j|i 12.00 0.0 75 C. 0130 0. 7C70 C.0500 0.6079 0.6733 l.OOuO lA. A672 1

2.00 0.075 C.0130 0.6660 C.0500 0. 1586 0.2682 0. A280 21.5576 2 A. 00 0.075 C.Ol JO 0.6660 C.C500 0.2537 0.A196 0.72A1 31.36‘»7

^ 6.00 0.075 C. 0130 0.6660 C.G500 0.3372 0.535a 1.0000 A U. 190 A ' j 8.00 0.0 75 0.0130 0.66. 0 C.C5O0 0.A163 0.O289 1.0000 2A.290A

, 10.00 C.C75 0.0130 0.6660 C.Ct'OO 0. A897 0. 7083 1. 0000 19.667 3 t |, 12.00 0.C75 0.0130 0.8660 C.G500 0 .5620 0. 77b5 1.0000 lb. 136 A

]

2.00 C.G75 0. Cl 30 0.9659 C.0500 0. 1530 0.2869 0. A2oO 2i.80oA . A. 00 0.075 0. 0130 0.9659 C.0500 0. 2aAA 0.AA99 0.72A1 31.7962

6.00 0.075 0.0130 0.9659 C. o50C 0. 32A5 0.5752 1. 0000 AG . b32 I

^ 6.00 C.075 C.0130 0.9t59 C.oSOG 0.3992 0.6770 l.OOoO 2A.9&52 , 10.00 C.075 0. 0130 0.9659 C. 05 00 0. A705 0.7631 1. 0000 fc 0 . A i j J ||i 12.00 0.075 0. 013 0 0.9659 C.G500 U.5396 0.O373 l.OOuO 16.9,32 7 ; jj

2.00 0.075 0.0130 0.9962 C.C500 0.1512 0.2930 0.A230 2i.abAo . A. 00 C.075 0 . ouo 0.9962 C.C500 0.2A16 0.‘t59d 0.72A1 31.9213

6.00 O.C75 0.0130 0.99C2 C. C500 0.3210 0.3867 l.OOuO A 1 . 0 6 9 6

8.00 C.C75 0. OliO 0. 9Pt2 r. 1.5 90 0. 39Si 0.6911 l.OOOO 25.151A , J 10.00 0.075 O.OHO 0.9962 C.O500 0. A651 0.7796 1. OOoO 2 0 . 6 3 J 2 j 12.00 0.075 0.0130 0.9962 C.G300 0.5337 0 . o 5 A A 1.0000

'

AO
^FLOH DIA. I8AHS. SUPPLY OPAIN OKAIN FLCW ENTRY NORrtAL PIPc LENGTH TL

•l/s. C‘J*;FF SLI PE

(SIH)

SLOPP

f SIN}

Entry depth

RATIO H/0. . ENERGY

N.

UtPTH

H/J.

normal JcPTH.

L/0.

2.00 C.0180 0.2566 0.0250 0.2334 0.1312 0.5542 15. 503 5 ^.00 €•076 0.0180 0. 2 5 tt C.C?50 0.3894 0.1992 0, 9556 14. 524 /

6.00 C.075 C'.OHO 0.25lt 0.0250 C .52d9 0.2491 1.0000 1 o . 8705

*J*00 C.075 0. 71 J

0 . 2 5 C 6 0.0:50 0.6546 0.2696 1. OQUO U. 746 3 10.00 C.C76 C. U80 0.256c C .0250 C. 7do3 0.3226 l.GOOO 0 . 7^61

12.00 C.075 0.7180 0.2566 C.0250 0.9023 0.3523 1.0000 5, lcJ4 1

2 .00 0.C75 C.OliO 0.5GCC 0,0290 0. 1906 0.1917 0.5542 17. 4220

4.00 0.C75 0.0180 0.50CG C.C 2 50 0,3074 0.2959 0,955o 20.4574

o.OO C.C75 0. 0180 0.5C0G C . 02 5 0 0.4114 0.3735 1.00 jO 2u. 74i.4

8.00 C.0 75 0.01 iO 0. 50GC 0.0250 O.5093 0.t357 i.OOOO 17.2358

10.00 C.C75 0.0180 0.5CtG 0.0250 0.6040 0 . 4 <1

3 i. 0000 13.7744

12.00 O.C75 O.Ol 80 0.50CG C .0'2 50 0.6943 0.6326 1.0000 lu, 5643

2.00 0.075 0.0180 0.7C71J C.C? 50 0. l69o 0.2366 0.5542 ic.3434

4.00 G.C75 0.0180 0. 7C7C C.G?5C- C.2722 0.3662 0.955b 21.0553

6.00 0.075 0.0180 0.707C 0.0250 C . 3630 0.4672 i. OOOO 22 . o438

3.00 C.075 C. 0180 0.707C 0.O250 0 .4475 0.5464 l.OOoO 19.5114

10.00 C.075 0. 0130 0. 7070 C .w?50 0 ,5236 O.ol57 l.OOuO io. 8055

12.00 0.075 0.0180 0.7070 C.C?90 0 . 6 07 9 0.O733 1 . 0 0 u 0 13.3952

2.00 0.075 0. C130 0.6660 c.0250 0. 1586 or . 2682 0.5542 lb. 84 J 4

4.00 C . L 7 5 0. 01 30 C. tt cC C .0250 0, 2 8J 7 0. 41 9o 0.9530 21.5995

6.00 0.075 0.0130 0 . fc < 6 0 0.0250 0. 3372 0. 53 54 i, 0000 23. 725 7 8.00 C.075 0. ni )0 0 . e f 1

( ,0250 0.4153 0.6269 i.OOOO 2 u. 7 52 o

i 0. 0^ C.075 0.0180 0.6660 C.G250 U.4397 0.7063 1 . OOoO 17.22.0

12.00 0.075 0.0180 0 . 6660 O.O250 0.5620 0.7765 1.0000 15.0123

2.00 0.075 0.0180 0.965V C .0250 0. 1530 0.2569 0, 5542 19. u 9 1

4.00 C.075 0 . n lo 0.9659 C .02 50 0.2444 0,4499 J. 9 55 6 21.8-^50

6.00 C .075 0.0130 59 C.l 25G 0.3245 0.P752 I.OOjO 24 . 27o

8.00 0.0 7 5 0. 01 :>'J 0. 9f th C .C :>5 0 0.3992 0.6770 i. 0 J jU 2 1 . H 8 8 10.00 C.075 0.0180 0.9659 ( . o:'=o 0.4 7j5 0.7631 1 . 00

lb • 5 O J 7 12.00 0.075 0. 018 0 0.9659 C.L?''0 0. 539f> O.o 873 1 , 0 0 J 0 15. b8/3

2.00 0.075 C . 0 1 8 0 0.99t^ C ,l2'^0 C. 1512 0.2930 0.5542 19.17j5

4.00 0.O75 0.0110 0.99C ^ C. C2 5tj 0 . 2 4 1 o 0. 459o 0.9556 2 i. '.>9 12

6.00 0.075 0. on 0 C.C250 0. 3210 0,5667 i.OOoO 24.4 1 -.2 .00 C.0 75 0 . 0 1 8 0 0.99t2 r. 025G 0. 3940 O.o9l

l.C JoO 2 i • *J ^ J 4 o • o c C .C 75 0. U8G 0.V96X. C. l25 V 0 . 4od 1 0. 7796 1 . u 0 u 0 lb . 77/

12 .Go C . C 7 5 0. H 8 j 0.9962 t . C2 5G U.53j7 0 , o544 1 .OOuO 1 6 . 'J 5w 1

4 ]
Flow OlA. SUPPLY DRAIN DRAIN FLOW ENTRY NORMAL

L/S. COEFF SLOPE SLOPE ENTRY DEPTH ENERGY depth

fSlNl <S IN) RATIO H/Q. n. H/0.

2.0t> 6.075 0.0130 0.2566 0.0167 0.2389 0.1312 0.6970

9.00 0.075 0. 0130 0.25t8 0.C167 0.3699 0.1992 1.0000

6.00 C.075 0.0130 0.2566 C.0167 0.5269 0.2991 1.0000

6.00 0.075 0.0130 0.256L C .0167 o.ddse 0.2896 l.OOOO

10.00 C.075 0. 0130 0.2566 0 . 6 1 6 7 0.7306 0. j228 i.OOUO

12.00 C.075 0.0130 0.2566 C.U167 0.902 b 0.3523 1.0000

2.00 0.075 0.0180 0.5C00 C.0167 0. 1906 0.1917 0.6970

9.00 0.C75 0. 0130 0.50CC C.0167 0.3079 0.2959 1. 0000

6.00 0.075 C. 0130 0.5CCC C.Cl 57 0.9119 0.3735 l.OOuO

8.00 0.C75 0. 0130 0.5 CCO C.C157 0.5093 0.9357 1.0000

10.00 0.075 C.0180 0.-5 000 C.Ol 67 Oa 6090 0.9866 1. 0000

12.00 0.075 O.OIJO 0.5CCC C.Cl 67 0.6996 0.6325 i.OOuO

2.00 0.075 0.0180 0.7C7C 0.C167 0.1696 0.2366 0.6970

9.00 C.C75 0.0130 0. 707C C.U167 0.2722 0.3682 1.0000

6.00 0.075 C.OldO 0.7C70 C. ol 67 0.3630 0.9672 1.0000

6.00 C.075 0.0130 0. 7C7C C.Cl 67 0.9975 0.5989. 1.0000

10.00 0.C75 0.3130 0.7070 0.0167 0. 5266 0.6157 l.OOoO

12.00 0.C75 0.0130 0.7C70 0.0167 0.6079 0.«>733 1.0000

2.00 0.075 0.0130 0.E660 0.0167 0. 15o6 0.2682 0. 6970

9.00 0.C75 0.0130 0. 8660 0.0167 0.2537 0.9196 1.0000

6.00 0.C75 0. 0130 0. 6660 C.Clo7 0.3372 0.5359 i.oouo

8.00 C.075 0.0130 0.6660 C.0167 0.9153 0.6289 1.0000

10.00 C.C75 C . 0 1 3 0 0.6660 C.Clo7 0.9697 0.7083 1. OOuO

12.00 C.075 0. 0130 0. 6660 C.0167 0.5620 0.7763 1.0000

2.00 0.075 0.0130 0.9659 C.Cl 67 0.1530 0.28 69 0.6^70

9.00 0.075 0.0130 0.9659 C.0167 0.2999 0.9999 1.0000

6.00 0.075 0. 0130 0.9659 C.L167 0.3295 0.5752 1. 0000

6.00 0.075 U.Olij 0.9659 C.0167 0. 39^2 0.O770 1. 0000

10.00 0.07 5 0.0130 0.9659 C.Cl 67 0.9 7j5 0.7631 1.0000

12.00 0.075 0. 013 0 0. 9659 C.0167 U.53‘<6 0.6373 i.oouo

2.00 C.C75 O.OldO 0.9962 C.Cl 67 0.1512 0.2930 0.6970

9.00 0.075 C . 0 1 3 0 0.9962 C . C 167 0.2916 0.9598 l.OOOO

6.00 0.C75 0. 0130 0.9962 C.C167 0.3210 0.5867 ' 1.0000

6.00 C.075 0.0130 0. 9962 C.Cl 67 0.399b 0.6911 l.UOuO

10.00 0.075 0.0130 0.<^962 0 . c : 6 7 0.9651 0. 779t, 1.0000

12.00 C.075 0.0130 0.996c c.0167 0.5337 0.n599 l.OOO 0

PIPE LEHCTrl T

MORTAL JEPTrt.

L/0.

2.^537

13.99^7

1!>.32^0

12.0116

O. ^16^

5.0115

a. 813<I

16.9502

19. 11^7

1 6 . 9 0 a 9

13. 3036

10. 3037

9.20‘»5

ia.<i219

20.9991

1 o .659 d

I5.d610

13. 07d 9

9. 3122

19.2992

22.0631

19.9131

17.3013

19.6792

9. 3391

19. 6663

2 2 . o 02 6

20563 3

16.0910

15.9970

9. 3396

1 9 . 79o 9

2c . 79 -/6 2 u • 7 H 0 6

1 o . 2o j 3 15.7191

42
. !?

' I ^ D “0* 10

irP •' V^ -sjv ^ "I > jDl^Ai^:

vi H r Ai:^'iSi^ Y’:j'«<iij?

^ ^ CM,: v: si ii^f,:}

fa

'-.a »

•' V,: ; i:;

a**

*^<>t A»0f

i* »' i‘ . < ^ Q ,- *t '

oc??6i>,a.':!!:;5et.o

'Vf V .'-^ <•

*(

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; *
/ flow CIA. KA^N. SUPPLY DkAIN DRAIN FLOW ENTRY Nurnal PIPE LENGTH

L/S. CUHFF SLCPt SLOPE ENTRY DEPTH Energy UEPTH NOKnAL DEPT

L/ 0 . 1 (SIN) (SIN) PATIO H/D. N. H/0.

2.00 ««1CC 0. 00 iO 0.25tt 0.0500 0. 0906 0.2566 0« 15A9 3 A . b 6 7 A A.OO 0.100 0. 0090 O.Ztlb C.C500 0.1A22 0.A17A 0.2A78 58.9953

6.00 C.IOC 0.0010 0.2 tbc 0. 0500 0 . 1 3 6A 0.5A67 0. 3293 78. 351

8*00 0.100 0. OOiO 0»2tib C.C500 o.22o7 0.6575 0. A050 9A. 2911

10.00 C . 1 C 0 0. 0090 0.25tt C . 05 00 0. 26AA 0.7555 0. A773 109.773A ' 12.00 0.1 UC 0.00^0 0.2 5cb 0.C500 0 . 30u 5 0.8A26 0.5A8 3 12^1.07^4 !

2.00 o.ioc 0.0090 o.tcoc 0.0500 0.0737 0.3330 0.15A9 3o . 92 7o j A. 00 C.i cc 0.0090 O.fCCu C.0500 0 .11A8 0.6302 0. 2a7c 65 • 7*»o 2 I 6.00 C.IOC 0. 0090 O.t COO C-0500 0. 1 A95 0.8355 0.3293 o /. A Li 5

8.00 0,1 cc 0.0090 0.5C0U C.0500 0.1313 l.OlOd O.A050 105. 35AA

1C. 00 C. ICO 0. 00 ?c O.SCCC 0. 08 0 0 0.2108 1.1679 0.A778 122.537?

12.00 O.IOC 0. 00 < 0 O.tOCu C.0500 0.2309 1.3099 0.5AO 3 13c.sajO

2.00 C.IOC 0. 0090 0.7C7C C. C500 0.0660 0.A7A9 0.15A9 A0.50AO 1 A. 00 C.iOO 0, 0090 0.707C C. C50C 0. 1026 0.78A9 0.2A73 6o. 3 77 A 6.00 O.IOC 0. 9090 0.7C70 0.0500 0. 133A I.UAAI 0. 3293 90. 9339

8.00 O.ICO 0.00 >0 0. 7C7C C.C500 0.1618 1.2663 0.A050 109.6A39

10. OC C.IOC 0. 0090 0.7C7C C.0500 0. 137A 1.A70A 0.A778 127.6A13

12.00 O.ICO 0.0090 0. 7070 0.0500 0.2120 1.6537 0.5A83 lAA.2il5 ‘h

2.00 O.ICC 0. 0090 0. 8 6 to C.C500 0.0620 0.537A 0.15A9 A1.2626

A. 00 O.ICO 0.0090 0. 86tC 0.C500 C.09ol 6.8921 0.2A73 69. 7013

6. CO O.ICC C. 0090 0 . tot c C. C500 0.12A9 1.1891 0.3293 92. 7^2 A 8.00 0.100 0.0090 0. 8660 C.0500 0.1510 1.AA57 0. A050 111.8730 ^ 10.00 C.IOC 0. 0090 O.cttO C.0500 0.1752 l.o785 0. A778 13u.21o3

12.00 0.100 C.0090 0. 8660 C.0500 0. 1979 1.S9A2 0. 5A83 lb7.l7A2

2.00 C.IOO 0. C090 0.9tt9 C. 05 O'j 0. 05‘^5 0.5752 0. 15a9 Ai.6779

A . 00 O.ICC C.OO #0 O.St 89 C .0500 ‘0.092t 0.'/555 0. 2A78 7u • 3 33 ^

^ 6.00 C.IOC 0. 0090 0.9ttV C.05O0 0. 1205 1.27A3 0. 3293 93.8111 ^ 8.00 0.1 OC 0.0999 0.9t fv C.C500 0 . 1 A5 6 1.5526 0 . A05 0 112.9936 ‘ 10.00 C.IOO 0. '9090 0.9689 C.L5'>0 0. l.*33b 1.8052 0. A773 131.5399 “ 12.00 C.I 00 0.9090 0. 9689 C.0800 0 • 19j d 2.0352 0 a 5 Ao 3 1 At.;, 33 3

2.00 O.IOC 0. 0090 0.99t2 C.C5O0 0. 0593 0.5658 0.15A9 A 1 . 7 7 /o

A. 00 0.100 0.0090 0. 99tt C.0500 0.0919 0./757 0. 2A7 8 70.5521 1 6 . Ou C.IOC 0.0090 0.99(

0.0500 0.11/3 1.3006 0.3293 93.85’/3 ^ 8 . OO C.I cc 0.0090 C.9662 C .0500 0. 1AA2 1.5839 0.A05 0 113.29-^7 ^ 10 • Ou 0.100 0. 0 0 9 0 0 • 99c^ C. U500 U a 1 6 7 1 1 • 8 A lb 0.A778 131.0^^33 9 12.00 0.1 00 0.0090 0. 996t C . 0 5 0 0 • 1 bo 8 2.0770 0. 5A3 3 1 A 9 . i-J 1 J 1

AA
FLOW DIA. MANM. SUPPLY CFAIN DRAIN FLOW ENTRY normal

L/S. . P. C3EFF SLOPE

<SIN)

SLOPE

ISIM)

ENTRY

RATIO

depth

H/0. . ENERGY

rt.

• depth

H/U2.00 ftmlOO 0.0090 0.25b6 0.0250 0.0908 0.2566 0.1964

s.oo O.ICC 0.9090 '3.2 5 bt C .02^9 0. 1S22 0.S17S 0.3157

6.00 C.IOO C * 0 0 9 0 0.25eo C • 0? 50 0 . 13oS 0. bS6 7 O.S231

h . 00 C.lOO 0.00^C a ^ 5 b c C .0250 0.22o7 0.6575 0.6239

10.00 o.ioc C. 0090 0.25ec C . l2 50 V • <: 6S4 0. 7555 G. 62 1

12.00 O.IGO o.oo>o 0.256c C.C250 0. 3006 0.os2 6 0,71o3

2.00 O.ICC 0.9 070 0.50CL C. 0250 0.0737 0.3630 0. 196S

S.OO 0.1 00 0.9090 0. 5CC0 C.C250 0.11S3 0.6302 0.3157

6.00 O.iCO C.9090 0.5 CCD r. C250 0. 1S95 0.6355 0.S231

6.00 C.IOO 0. 90^0 0.5CCC C .0250 V.1213 l.OlOo 3 .5239

*-• o . o c (.ICO 0.99^0 O.t OCO t. C25C 0 . 2 1 Jb 1.1679 3. 62 16

12.00 C.IOO 0.9090 o.tccc (.02 50 0 . 2 3c>

1.3099 0.71o3

2. CO O.ICG 0.0090 0.7C7C r.C250 0 . 06o0 0.S7S9 0. 195S

S.OO C.iCO 0.9090 0.7C7C C.C250 0.1326 0. 7oS9 0.3157

6.00 C . 1 c c 0.0090 0.7C7L C . 02 5 0 u. 133S l.OSSl 0. S23

S.OO O.ICC 0.9090 0. 707C C ,C250 0. I6i6 1.266b J.5239

1 0 . 0 j O.IOC 0. 3 0 30 0.7( 7u C.C250 c. 137S I.S70S 0. 62i

12.00 C.l cc C. 3090 0.7C?u ( .c250 O.2120 1.6537 0. 7163

2.00 O.ICC 0. 0090 0 . fc etc C.U250 0.0620 0.537s J. 19b S

S.OO C.ICC C. 0090 0 . t 9^ f O f .02*^0 0.0961 0.O921 0.3157

6.00 0 . 1 c c 0 . 0 G 9 0 0 . t etc C.C250 0. 12S9 1.1391 v). S231

8.00 C . i 0 0 0.9992 0, 6 9 cc C.C250 0.1510 1.SS57 J.5239

10.00 ( .iOC C . 9 3 9 O.btt C t . 02 5 0 6. 17a2 1 .o7 66 0. 62 16

12.00 C.IOC 0,0090 0 . bC60 C.0260 0. 1 979 1.39S2 0.7lo3

2.00 O.ICC 0. 00 9 0 0.9C59 C.C250 0 . 05v d 0.6752 0.195S

S.OO O.IOC 0. 909u 0. 59 C .C250 0 • 092 6 0,9655 0. 316 7

6.00 (-.ICC 0. 30 90 0.9C59 C .0250 0.1205 1.27Sft 0.S231

6.00 f .1 00 0 • 30 9 3 0.9659 r,o2so 0. lS50 1.5526 0.5239

1^.00 C. ICC u. ) 3-9 3 0.9f 59 ( . 0. 1 6 1 3 1. o052 0. o2 16

12.00 O.ioc c. 99 9 0 0.9C59 ( . C ? 50 0 • 1 9a c 2. j352 j • 7 16 3

2 ,0C C.ICC O.9090 0.99t*. O

IT 9 O.0593 0 . 6 ^ 5 6 0. 196S

S.OO O.ICC C. 9"» 9 0 0,99(.2 ('.C25j 0. G'91‘9 0.9757 0.3157

6,00 O.ICC 0. '''9 90 0.9Ct2 ( .0250 0.1193 1.3006 O.S23

b .(j J C . 1 0 C 0 . 9 ; 0 ‘3.9<;r^ r ,^253 0. 1SS2 1. b b9'9 0.52J 9

13.00 f . 1 C 0 C . '•993 f , 1 ?^: u. lo71 I • >s 1 3 J . 62 i

12.00 0.1 00 0. 9390 0. 0*^62 r.62 5'j U . ^ d J o 2 . J 7 7a 0. 7lai

PIPfc Lt.iCTri TO

H0KM4L JtPTrt.

L/0.

^o.222J

7<^. 0B29

10 j • >5d ) 12s • io j 3

lst.^^2 yJ

15fl. S177

51- 5902

es-7s93

111.6339

133. 5i76

15 3. 6^21

17w.63v>^

5 3. 00.1 9 67. l6:>3

llS.37j;>

13 7- oOS 7 15o.6l.>9

176. 2 3s

53. 7292

6d. so 2 3

1 16. 56 : i 139 , 71'>1

lei. 0o79

5S.099S

69, 029a

117.Si^9

Iso • 7b * j

162. 3S-J 1. IbU . S^i

5s . 1962

b9 . 2 !"• i 1 i 7 . 6 i > j 1 S i . ..

• 1 1. J 1 Oi . a - I / lco,b^

45
FLOW DU. HAHM. SUPPLY DPAIN CRAIN FLOW ENTRY NORMAL PIPE LE'JGTH

L/S. H. COEFF SLOPE

tSIN)

SLC«»F

(SIHI

ENTRY JEPTH

RATIO H/D.

Energy

N.

OcPTrt

rt /U«

normal 'ocPTr

L/D.

2.00 ft.IOG 0. no90 0.2588 C.0167 0. 09U8 0.2566 0.2242 55.3242

4.00 0«10C 0. 00 >0 0.2586 C.0167 0.1422 0.4174 0.364 5 80.3575

6.00 0.100 0.00#0 0.2566 0. 0167 0.1064 0.5467 0.4917 116.6239

6.00 0- 1 CO 0.00)0 0.256t C.C167 0.22o7 0.6575 0.6 10 0 1 3b. 5934

10. Ou o.ioc 0. 0»)-)0 0.2566 C.0167 t 0 . i 6 4 4 0.7555 0.7271 155.011a

12.00 0.100 0. ao^o 0.2566 C.0167 0.30O5 0. 04.26 0.3403 169.9533

2.00 C.ICC 0.0090 0.5CCC C.0167 0.0737 0.3830 0.2242 56. 5317

4.00 O.ICO 0. 0090 0.50CC C.C167 0. 1140 0.6302 0.3645 94. 3193

6. CU c.ico 0-0090 0.5CC0 C.C167 0. 1495 0.6355 0. 4917 124.0119 j 8.00 C.IOC 0. 0090 0.5CCU r,C167 0 • 1 d 1 3 1.010b 0.6108 145.7409

10. CO O.ICC 0. 0 09 0 0.5CC0 0.0167 0- 21‘jd 1. 1679 0. 72 71 165. 6941

12.00 0.1 oc 0.0090 0.5OCO C .0167 0.23d4 1.3099 0.8403 le2. I04b

2. CO C.lOO C.0090 0.7C70 C.C167 0.0660 0.4749 0.2242 59,9177 i 4.00 C.l CO 0.0090 0. 7C7C 0.0167 0.1026 0.7849 0.3645 96.69o4 j 6.00 0.100 0. 0090 0.7C7O 0.C167 0.1334 1.0441 0. 491

127.2047

3.00 0.100 0.0090 0. 7070 0.C167 0. 161

1-2663 0. 610 3 149. 7349

10.00 O.IOC 0. 0090 0,7C70 C.C167 0. 1874 1.4704 0. 7271 170.4153

12.00 0.100 0.0090 0-7C7C C.0167

* 0.2120 1.6537 0.8403 167, 4973

2.00 0.100 0.0090 0.6660 0.C167 0.0620 0.5374 0.2242 60«62oO

4.00 O.IOC 0. 0090 0. 6660 C.C167 0.0961 0.O921 0,364 5 97.93^3

6.00 0.100 0. 0090 0.6660 C. C167 0.1249 1.1691 0.4917 12a, 834

8.00 0.1 00 C.0070 0. 6661 C.0167 0.1510 1 •‘457 0.6103 153.115 d 10.00 O.ICO 0. 0090 0.66tC C.C167 0.1752 1.6735 0. 72 71 155,6619

12.00 0.1 CO 0.0090 0.866C C.0167 0.1979 1-6942 0. 84u 3 17o.00^6

2.0C C.ICC 0. OO 50 0-4f 54 C.C167 0.0596 0.5752 0.2242 60,9943

4.00 O.IOC 0. 0090 0.4659 C.C167 0.0923 0-9555 0.3645 96,5aa9

6.00 C.lOO 0.0090 0.9654 C. C167 0. 1205 1.2748 0. 4917 12b.91ol

8.00 0.100 0.0090 0.9654 C.Ol 67 0. 1456 1.5526 0.6103 1 5c . 36 J 3

10.00 O.IOC 0. 0090 0.4659 C.C167 0.1630 1.6052 0.7271 14^.6715 ! 12.00 0.100 0.0090 0.9659 C.U167 0.1906 2.0352 0. 840 3 174i.95ao i

2.00 O.ioc 0. 0090 0.9962 C.0167 0.0593 0.5C58 0.2242 61. 0893

4.00 O.ICO 0.0090 C.9962 C.C167 0.0919 0.9757 0.36i5 9c., 752 o 6.00 0.100 0. 0090 0.4962 C.0167 0.1193 1.3006 0.4917 126.6254 1

8.00 C.IOC 0.009U 0.996^ C.C167 0.1442 1.5039 0.6103 15 7..-Ml 7 1

10.00 C.lOO C.009G 0.9962 C.C167 0.1671 1.6413 0.72 71

12.00 0.1 OG 0.00)0 0.9962 C.C167 0. l8dU 2.0770 0.640 3 17i.5o7J I

46
FLOW CIA. SUPPLY CFAIN OKA IN FLOW Entry NURnAL

L/S. CaSFF SLDPf SLOPE ENTRY uefth Energy OEPTrt

(Sih) (SIN) RATIO H/ 0. ru H/0.

2.00 t.lOO 0.0090 0.2566 0.0125 0.09u8 0*2566 0.2478

4.00 O.ICC 0. 3090 0.25tb C.0125 0. 1422 0.4174 0. 4050

6« Oo o.icc 0. 3090 0.2566 0.C125 0 . Ido 4 0.3467 0.54o3

8.00 0.1 CO 0.0090 0. ?56o 0.0125 U.2267 0.0675 0.684 1 10.00 0.100 0. )0)0 0.258c C.C125 C. 2644 0.7555 . 0.3149

12.00 0.1 00 0.0090 0. 25bo C.Gl 25 0.3005 0.3426 0.9433

2.00 0.100 0.0090

r. 0.5CC0 0. C125 0. 0737 0.3330 0.2478

4. CO O.ICO 0.9090 0.5CC0 0.C125 0.114d 0.O302 0.4050

6.00 O.ICC 0.00)0 0.60C0 C.0125 0. 1495 0.3355 0.5433

8.00 O.ICO 0. )0 )0 0.5CCC r.0125 0.1313 1.0103 0.634 1 10.00 C.IOC 0. )090 0.5CC0 C . C 1 2 5 0. 2l0r l.lo79 0.0149

12.00 0.1 CO 0.0090 0. 5CC0 C.U125 0.2339 1.3099 0.9436

2.00 O.ICO 0.0090 0.7C7C C.C125 C. 06b0 0.4749 0.2478

4.00 O.ICO 0. 00)0 0.7076 C.CI25 U • 1 026 0.7b49 0.4050

6 . Ou C. ICC 0. 0 V)0 9.707C C.0125 6.1334 1.0441 0.5463

8.00 C . i 0 c 0.9 J90 0.7C70 0.0126 0. 1615 1.2663 0.634

10.00 O.ICO C. 00 )G 0.7070 C.U125 u • 13 7 4 1.47C4 0. 3149

12.00 O.ICO 0. OO y

0. 7076 G . C 1 2 5 0.2 120 1.6537 0.9433

2.00 O.ICC 0. 0090 0 . tctc C.Ol 26 0.0620 0.5374 0.2478

4 .00 O.icc C. 9090 0. tt 60 ( .0125 C.C9ol 0.3921 0.4050

6.00 C.iCC 0. .90 )0 0. r t6C C.cl25 C. 1249 1.1391 0. 546 3

e . 00 0.1 CC 0.90)0 0 . e t • - G.C125 0.1510 1.4457 J . 6<?4 1 10. 00 O.ICC 0.00)0 0 .tfcCC C.Cl 25 0.1762 l.o7.-5 U.3149

12.00 C.ICC 0.90)0 0. c etc 0.0125 0.1979 l.w-y 42 0.9436

2.00 C.ICC 0.00)9 0.9659 C .0125 0. 059b 0.6752 0.2473

4.0 0 C.i CO 0. 90 )J 0. 9659 C. L’l?5 0.092b 0.9555 0.4C50

6.00 c . u c 0. 00)'J 9.9659 0. cl 25 u. 12u5 1.2743 0. 54 0 3

3.0 0 0. i CC C.oo yO 0. 9).59 0 . C 1 2 6 c . I45t> 1.3526 0.6241

10.00 O.ICO 0.99)0 9 .^( 59 0.ul?6 Urn lu6 C 1.^j52 0.3149

12.00 0.1 CC c.oQy0.9659 0.0126 6.1 yo 6 2.6362 u. 94 J 3

2.00 C.ICC 0. 9090 0.9962 C.U125 6. 06‘y3 0.5t58 0.2473

4.00 C .ICO 0. 00)0 0.9962 C.U ?5 6.0919 0.9757 0.4U60

6.00 O.ICO 0. 90 >0 0.99C1. C.C125 0.1193 1.3006 0.54a 3

H ,C J c.i 60 0.90)0 0. 99«.2 C . C 1 7 5 0.1442 1.6 '09 0.6041

10.00 C.ICC t . 0 0 ) 0 0.9962 C . 1 1 7 5 c .1671 1.w413 O . 0 14 9

12.00 O.ICO 0.90)0 0.9962 ^.C176 0 • 1 J J o 2.077J 0.9433

PIPfe LEiGTH Tl HORMAL utPFH.

L/0.

t) 9 « ^oO

9^ • 3 Jo <1 12 x.^> 6 jI

l<»i . evi. i l5o« 9 bo3

1 69 • 6 J

j

o

62.61-J9

9-». 7113

12 o« 9 ib 9

loC. 9735

167.6933

1 6^. 03 j 9

tHm 0026

IG^. 0^11

13u.-»371

151.0661

17 o . 2^ 5 2

195. 326.3

6^. 602 5

107. 1073

13u.^2i2

15o . 59‘t L 1

i66 j 3

2 w2 • *t -ys J

o 9 . 3205

109..106^

13 v6 . 1 ^/^

l<t9.9 59J

Ic o . O'jO 7 20o.06-#3

6^ . ?66 1 llu. 7i-»7

1 3 W . 6 O J 3

\<i -f, Tf ^ j Ico. i ^ 7 2 C 7 3

47
flow DIA. hAHH. SUPPLY DKAIN DRAIN FLOW ENTRY NORHAL PIPE LENGTH i L/S, COSFF SLlfF

(SIN)

SLCPF

ISINJ

ENTRY DEPTH

RATIO H/0.

ENERGY

H.

DEPTH

H/0.

NORMAL DEPTH

L/0.

2.00 e.ico 0.0120 0.2586 0.05 00 0.1092 0.1819 0.1879

1 23.6006

4.00 0.100 0.0120 0.2566 0.05 00 0.1722 0.^921 0.3030 36.9856

6.00 O.IOC 0. )120 0.2566 C.050U 0.2267 0.3797 0.4050 50.6793

8.00 o.ico 0. Oi,’ 3 0.256b C.0500 0.2766 0.4540 0.5015 61.3337

10.00 C.iOO 0.0120 0.256b C. C500 G. 3235 0.5194 0.5942 70.6521

12.00 0.1 00 0. 012 0 0. 2568 o.osoo 0.366 9 0.5762 0.6847b. 246 7

2.00 O.IOC 0.0120 0.5CCC C. C500 0. 0864 0.2695 0.1879 26. 24:>4

4.00 O.i CO 0.0120 0. 5C0C C.C500 0.1365 0.4387 0.3030 43.3731

6.00 O.ICC 0. 3120 0.5CC0 C. C5 00 0.1813 0.5765 0.4050 56.5109

8.00 O.ICG 0,'^120 0.5CCC C.0500 0 . 22u 3 0.6939 0.5015 68.3643

10.00 C.lUG 0. 0120 0.5 COG C. C' 00 0. 2566 0.799b 0. 5942 76.6214

12.00 O.IGO 0. 312 J O.SOOC 0.0500 0.2917 0.6915 0^634 1 67.3712

2.00 0.1 00 0.0120 0.7C7C 0.0500 0.0792 0.3332 W.1879 27. 30o9

4.00 O.ICO 0.3120 0.707C C.C500 0.1237 0.5457 0. 3030 45. 1449

6. CO O.ICC 0.0120 0.7C7C C.u500 0. 1615 0.7196 0.4050 56. 8653

8.00 0.100 0. 3120 0.707C C .0500 0.1957 0.6715 0.5015 71.3121

10. Ou O.IOC C. 0120 0.707C C.C5C0 0.2279 1.0041 0.5942 62. 1718

12.00 O.IOC 0. 3120 0.7070 C.0500 0.25S5 1.1236 0.6341 91.1901

2.00 0.100 0. 0120 0.666C 0. 0500 0. 0743 0.3769 0. 1879 27.6400

4.00 C.ICC C. 0120 0. fc6 tC C.C5C0 0.ll5b 0.6199 0. 3030 46. 0493

6.00 O.ICC 0.C120 0.6 fete 0.0500 0. 1510 0.6196 0.4050 60.1146

6.00 C . 1 G C 0. 3123 0. 6r60 C.U500 0.1627 0.9951 0.501

72 . 82ul

10.00 O.IOC 0. 3120 0. 6 etc C.C50U 0.212 5 1.1497 0. 5942 83.944 ) 12. Ou O.IGC 0.3120 0. 6660 C .0503 0.2406 1.2694 0.634

93.2107

2.00 O.IOC 0.3120 0.965‘i C.050C 0.0717 0.4036 0.1879 26.1133

4.00 O.ICC 0.3120 0.<ife5‘J C.C500 0.1 lit 0.6641 0. 3030 4o .6043

6.00 C.ICC C. 0120 0.9C5S C . C5C0 G. 14?6 0,6797 0.4050 60. 73?7

6.00 0.1 00 G. 3123 0, 4t53 C.0500 0.1761 1.0669 0.5015 73.5614

10.00 C.ICC 0. 3123 0.9C59 C.05CO 0.2050 1.2335 0.5942 64.8119

12.00 0.1 00 0.3120 0. 9659 C. C 5 00 0.232 1 1. J662 0.684

94,2115

2.00 0.100 0.0120 0.9962 C. C500 0.0710 0.4117 0.1879 26. 1907

4.00 C.ICC 0.0120 0.9962 C.C530 0.1107 0.6771 0.3030 40.6272 , 6.00 O.IOC 0.0120 0.9<^62 C.C500 0. 1442 0.6973 0.4050 6u . 904 2

6.00 O.ICO 0. 312 0 0.9962 C. 0 5-30 0.1744 1.3894 0.5015 73.7760

10.00 O.IOC 0. 3120 0.4962 C.050C 0.2026 1.2600 0.5942 8d.0o 30

12.00 0.100 0.0123 0.9962 C . C500 0. 2290 1.4150 0.6641 94 . 4o f 1 1

48
FLOW DIA. HASN. SJfFLY DFAIN DRAIN f LL'H ENTRY NliRNAL PIPL L£-iCTH TC

L/S, - h. CTcFF SLOFE SLi.PF F.NTKY DEPTH Energy DEPTH NQRr.AL JEPTH.

. (SIN) (SIN) RATIU H/0. . «• H/0. L/0.

2.00 0.100 0.0120 0.2566 C.0167 0. 1092 0.idl9 0.2737 3^ . d456

4.00 C.ICO 0.0120 C.

r.oi^7 U.1722 0.2921 0.45O0 5o.8SiO

6.00 0.100 0.0120 0.25ft (.0167 t. 2267 0. J797 0.610O . 3 5u 0

5.00 C . ^ 0 c 0. 1120 0 . t

* 1

C . C 1 6 7 u . 2 766 0.4540 0.7651 72.512 6

10.00 c.ioc 0. 1120 0.2? tt r.ci 67 0. 3235 0.5194 0.9146 7b. o'J?6

12.00 0.1 oc C • o 0.25bt C.C167 0 . 3bd

0.6762 l.OOoO 7u. 55o4

2.00 C.IOC 0.0120 0.5 OCC O.C167 0. 0dfa4 0.2695 0.2 737 35.027d

4.00 0.1 00 0 . 112 0 0.5CCC C.C167 O.13o5 0.^387 0.450 0 54.6024

6 . C 0 C.ICO 0 . 112 0 0.5CCt C .C167 0. Idl3 0.5765 0. 610d 6d. 3 731

9.00 0.1 cc 0 . nj 0 0 . t coc C-tl 67 0.2203 0.6939 J . 765 1 7o. ho7 6

1C. 00 C-. IOC 0 . 1120 0.5 COC r.Cl67 C . 2 566 0.7'#99 0.9146 86.3197

12.00 C.IOC 0. 112 0 0. 5CCC t .ul67 0.2917 0.O915 1. OOCO 70.9110

2. CO C.ICO 0. 1120 0.707U C.Cl 67 C. 0792 0.3332 0.2737 35.9955

4.0 0 C.ICO 0.0120 0. 7C7C C.tl67 U. 12 3 7 0.5457 0. 45o 0 5o.26l7

6.00 C.ICO C.1120 0.7C7C C.C167 C . lol

0. 7196 0. 6106 7o. 6233

3.00 C.ICO 0. 012C 0.7C7C C.L 167 0.1967 0.O715 0.765 1 ei..47)5

10.06 C.IOC 0. 11 23 0.7C7C C.ol 67 w .2279 1.J041 0.9146 77.6071

12. CO C.ICC 0.‘ll2j 0. 707C C.Cl 67 0,2535 1.1233 i.OOJO 82.7311

2.00 O.ICC 0.0120 0 . fc 1 1 c C.C167 U.0743 0.3769 0.2737 36. 50i

4.00 O.IOC 0. 1121 o.f ( f

C .0167 0 . 115 6 0.6199 0.45u0 57. 1339

6.00 O.IOC C. 112 0 0.fc66t C.CL 67 0 . 1 5 i. U 0.bl9d 0 . 6 1 u 8 72,3390

3.00 C.ICC 0. 1121/ 0. C6t 6 C . C 1 6 7 0. 1 >27 0.9951 1.765 1 3u. 4 32 5 10.00 C.IOC 0 . 1 1 2 0 i.rtcc 0.0167 0.2125 1.1497 1.9146 29. 2335

12. Ou 0.100 O • O O.ttLC C.Cl 67 u. 240 8 1.4^694 i.OOu 0 04.3131

2 .CO C.ICC 0. 1121 9.9t59 C.Cl 6? 0.0717 0 , 40 3rj 0. 2737 3o. 7t/4 7 4.00 C.ICC C. 1121 0.9t59 C.Cl 67 C. 1118 0.O541 0.4500 53.222 5 6, CO O.ICC C.1120 0.9t 5 9 r .C167 0. 1450 0.&797 O.6I08 73. 0I22

8^00 C.IOC C . ) 1 > 0 0. 9659 C.Cl 67 o . 1 7o 1 1.0669 0 . 765 1 79. ol9 J 10, CO C.IOC 0. nji D.9t59 C ,C1 67 0.2 050 1 . 3 3 6 J. 9146 5. 2/32

12.00 C.l CO 0. )12 1 0. 9659 C .L167 0.2 3^1 i. 3662 1 • OOj 0 65. >5/0

2.00 O.IOC c .1120 0.9962 r.C167 0.0710 0.4117 0.2737 3o. 33/

4,00 C.ICC 0.1120 0.99(2 C .016? 0.1107 0,6771 0.4500 5c . 74 5 2 6.00 C.ICC 0. 1120 0.9962 r.L'l67 U. 1442 0.3973 0. 6 lu 0 7s • 2 l5 7 S .CC O.lCC 0. 112 1 0.tJ9c 1 C.( 1 6? w • 1 744 l.0aO4 0 .765 1 79. t ' J 5 7

1 0 . C 6 C.ICC C . 0 1 M 0.99( 2 r . c 1 6 7 u. 2025 1 . a 0 0 0. 9146 -^.7153

12.00 c.l 00 0. 112 j 0. 99t2 0 . L 1 6 7 0 , 2 2 9 0 1.4150 i.OOOO 30li ^ 9

49
T

FLOW

L/S,

2»00

-^•00

6.00

6.00

10.00

12.00

2.00

^^00

6.00

0.OU

10. CO

12.00

2.00

^.00

6.00

8.00

10.00

12.00

2.00

^.00

6.00

e.oo

10 . oc

12.00

2.00

4.00

6.00

8.00

10.00

12.00

2.00

4.00

6.00

8.00

10. CO

12.00

OlA. HAMM. SUPPLT CPAIN DRAIN FLOW ENTRY NORHAL PIPt LENGTH 1 H. COEFF SLOPE SLOPE ENTRY DEPTH ENERGY DEPTH NORflAL DEPTH.

'

' (SIN) (SIN) RATIO H/0. N. i;yX). L/D.

«^100 0.0120 0.2568 0.0250 0.1092 0.1819 0.2377 30.2759

O.IOG 0.012 0 0.25fcfc 0.C250 0.1722 0.2921 0.3879. 46 .5540

0.100 0.0120 0.2566 C.0250 0.2267 0.3797 0.5239 62.4405

0.100 0.0120 0.25C6 C.C250 0 . 2 7&6 0.4540 0.6528 73.1600

C.lOO C- 0120 0.2566 0.1250 0. 0235 0.5194 . 0.7778 61.9359

0.100 0.0120 0.2586 0.0250 0.3669 0.5762 0.8999 80.7532

C.lOO 0.0120

ri 0.5CC0 0.C25O 0 . 03a 4 0.2695 0.2377 32. 5305

0.100 0.0120 0.50CC 0.C250 0.1365 0.4387 0.3879 52. 34o7

O.IGC 0. 0120 0.5C0C C .02*^0 0.1313 0.5765 0.5239 67.5336

O.ICO 0.0120 0.5GCC C.C250 C.22U3 0.6939 0.6528 79.4039

C.lOO 0.0120 0.5CCC C. C250 0. 2566 0.7998 0.7778 69. 1369

0.100 0.0120 O.^OCO 0 .0250 0.2917 0.C.915 0.8999 9o. 9417

C.IOC 0.0120 0.7070 0.0250 0.0792 0.3332 0.2377 33. 5090

0.1 00 0.0120 0.7C7C C.0250 C.1237 0.5457 0.3879 54 . 0063

O.IOC 0. 0120 0.7C70 C.0250 0. I6l5 0.7196 0. 5239 69. 76to

O.ICO 0.0120 0. 7070 0.0250 0. 1967 0.6715 0.652 8 • 1 642

O.IOC 0.0120 0.7070 0.0250 0.2279 1.0U41 0.7778 92. 3vd2

C.lOO 0.0120 0.7070 C.G250 0.2535 I.X233 0. 8999 100.6163

C.ICO 0.0120 0.8660 C.C250 0.0743 0.3769 .0.2377 34.0io0

C.l 00 0.0120 0.8660 C.C250 0.1153 0.6199 0.3379 54.3775

O.IOC 0. 0120 0.8660 0.0250 0.1510 0.6193 0.5239 7o. 94 i4

O.IOC 0.0120 0. 86 . C.u250 0.132 7 0.9951 0.652 8 63.6623

C.IOC 0. 0120 0.0660 C.02 50 0.2125 1. 1497 0.7778 94. 1379

c.l 00 0. 0120 0.8660 ( .0250 0.24u8 1.2394 0.3999 102 .6067

C.IOC 0.0120 0.9659 C.C250 0. 0717 0.4036 0.2377 34.2793

O.ICO 0.0120 0.9659 0.0250 0.1116 0.OO41 0.3879 55.3210

C.IOC 0. 0120 0.9659 C .0250 0.1456 0.6797 0. 5239 71 . 553 3 C.lOO 0.0120 0.9659 C.C250 0.1761 I. 06 3 9 0.6528 6 4 . 4 0 1

C.IOC 0.0120 0.9659 C.C2*=0 O.2050 1.2333 0. 7778 94.9975

G.IOC 0.3120 0.9659 C.0250 0.2321 1. J362 0.8999 1 03 . 602 3

C.IOC 0.0120 0.9982 C.C250 0.0710 0.4117 0.2377 34. 3542

0.100 C. 012 0 0.9962 C.C250 0.1107 O.o771 0.3379 55.4413

O.iCC 0.0120 0.9962 C.C350 0. 1442 0.3973 0. 5239 71. 7130

O.ICC 0. 0120 0.9962 C.C250 0.1744 1.0894 0.6523 64 .5954

O.ICO 0. 0120 0.99c2 C.C250 0.2026 1.2600 0.777H 95.Ji73

O.ICO 0.0120 0. 9962 C .02 50 0.2240 1.4150 0 . 399 9 10 j . j 7v 7

; 1

i i

K

i;

2

h

6

5

IJ

2

6

t,

la,

12,

2

H

10

12

50
FLOW CIA. FtAK^. SUPPLY cfain DRAIN FLOW ENTRY NORMAL Pipe LE.iGTH Tl

L/S. F*. CT=FF SLCPF

(SIM

SILPP

(SISI

ENTRY depth

RATIO fl/0.

ENcPCY

rt. DEPTH

H/0.

NORflAL jEPTN.

L/0.

2.00 0«10C 0. 0120 0.2566 C,0125 0. 1092 0.I6I9 0.3030 32. 6191

4.00 C.lOO 0,0120 0.25Ct C.C125 0.1722 0.2921 0,5015 49 , OOo 1 6.00 c.ioc 0. 0120 0 , ? 5t c C.C125 0. 226? 0. 3797 0. 6841 5o. 8049

e.oo G . 1 C C 0. 012 0 O.Zbtt C.Cl 2b w • 276 6 0.4540 0. 35o 9 64. 1542

iO.OO C.IOC 0. 0 120 0 . 5 c 6 C.tl 25 0,323:) 0.3194 * I.OuGO 65.0a o4

12.00 0.1 00 0. 0120 0.2f6tt C.C175 0. 3689 0.5762 1. 0000 59. 3667

2.00 C.IOC 0.0120

t 0.5 OCC C.C123 0.0884 0.2695 04^^33 0 34.8062

4, 0.1 cc 0,0120 0.5 CCC 0.0125 0. 138 5 0.4387 0.5015 52. 7402

6. C.lOO 0.0120 0.5CCC C.C125 U. 1813 0.5765 0.6841 6 3. 67 fi

8.0W C.l GC 0.012 0 0.5CCC C.L 125 G.22J3 0.6939 0 . 85o 9 70.4113

1C. 00 0.100 0.0120 0.5CC0 0. C125 0.2 5o6 0. 7998 i.OOuO 72.3524

12.00 c .l 00 0.0120 0. 5CCu C.Cl 25 0.2917 0.8915 I.OOOO 67.5730

2.00 C.IOC 0.0)20 0.7070 0 . C 1 2 5 0.0792 0.3332 0.3030 35. 7892

4 • Oo O.ICG j. * 12 0 0.7C7C C .0125 0.1237 0.5457 0.5015 53.6037

6.00 0.100 Tj- '12 0 0.7C7G c . u 1 :

G . 1615 0.7196 0.6541 63. 6629

6.00 C.IOC 0.0120 C.7070 C.C125 C. 1957 0.8715 0. 85C.9 72 , 9o J 0

lO.OO c.ioc 0.0L2C 0.707c f .0125 0. 2279 I.G041 I. OOJ 0 73.6313

12 .00 C.IOC 0.0120 0.7C7C 1.0125 0.2585 1.1233 1.0000 71.33/7

2.GG C.IOC 0.0120 0 0.0125 0. C/43 0. 3769 0. 3030 3o. 063 4

4.00 C.lOO 0. 012C 0 . c 1 1 C C , 0 1

0,1158 O.ol9y 0.5013^. 51i.9

6.00 0.100 0. 0120 0 . b 1 6 0 r . 0 1 2 5 0 . 151

O.ol98 0.684 1 Ob'. 4 3 8 7 b.OO C.lOO 0. 0120 0 • P C i. w C . C 1 2 r 0.1827 0.9951 0 • 85o 9 74. 3143

1 'J . 0 0 C.IOC 0. 0120 O.fc 6CC C.C125 0 • 21Z 5 1.1497 1. OOoO 77.4303

12.00

1 C.IOC 0. 0120 0. et6u C . e 1 2 5 0.2408 1.2894 1.0000 73.4073

2.00 ColCC 0.0120 0.9659 C.0125 6. 0717 0.403b 0.3030 3o.

IjO

4.^ : 0.100 0.0120 0.9^59 0.C125 C. 1118 0.O64 1 0.5015 51 • "»45 0

6.00 C . 1 c c C. 0120 0.9P59 f .C125 0,1456 0. 8797 0.6841 o o . S 3 3 7 “ . 0 0 C.IOC 0. 0120 0.*^659 C.Cl 25 0 . 1 7o 1 1. J689 J. 3 5c 9 73. 0 0 t 3 10. Ou C . 1 0 G 0. 0120 0.9t 59 C.Ol? 0 .2 030 1.233a 1 . 0 0 u 0 78. 33. I 12.00 c.l CO 0.0120 0.965^ r.0l25 0.2 32 1 1.3362 1 . Ouu 0 7 4 « 44 4. 3

2.00 C.IOC 0. 0120 0.9 9t C. Ct25 0 . 0 7 lu 0.4117 0.3030 36. 1173

4.0C C.IOC 0.0120 0 • 9 > C C .0125 0 . 1 1 u 7 0.6771 0.501

3 i. . 7 3 ) / b.''0 r . 1

c G.0120 0.9Cfc^ C.( 1 >5 0. 1442 O.o973 0.634 I 60. 94 3 3 b.OO c . i 0 r 0.0120 0 . 9 9(- r.t 1 2' 0 . 1 7<t 4 1 • u U'»4 J .C 68 9 7 3 . 1 8 i J 10. Ou 0.100 c . n 2 0 0 . 99Gc f . U i /' t - 2 J2 1 • 2o 0 J 1. OOuO 7c . o 1.

12.00 C.IOC 0. 0120 0.99c2 C .0125 9.22 » 6 1.9150 1. OOj 0 73.73-

51
I

Flow cu. HAMN. SUfPLY CKAIN DRAIN FLOW ENTRY NORNAL PIPE LENGTH

L/S, CO«=FF SLOPE SLOPE ENTRY DEPTH ENERGY DEPTH NORnAL DEPTH

CSIN) (SIN) RATIO H/0. n. H/O. L/0.

2.00 0^0 c 0. C150 0.2586 C.C500 0.1263 0.i<i04 0.2184 16. 65o6

A. 00 0.100 0.0150 0.2586 C .05f»0 0.2001 0.2237 0.3552 27.355a

6.00 C.lCC C. 0150 0.2586 C. C500 0.26^^ 0.2669 U.4778 35.22^4

8.00 0.1 GO 0. 0150 0.2586 C.05O0 0.3235 0.3^A1 0.5942 42 . Olad

10.00 0. lOL 0.0150 0.2588 0.05 on 0-3801 0.3907 0.7056 46. 77*19

12.00 0.1 oc C. 0150 0.2586 0.O500 ‘vi.13^3 0.^325 0.8149 . 51. 1932

2.00 0.100 0.0150 0.5CCU 0.C50O 0.1020 0.2062 0.2184 16. 5129

4.00 O.IOC 0.0150 0.5CC0 C.C500 0.1605 0.3325 0.3552 30. 3949

6. 00 O.ICC C.0150 0.5 CCO C.L500 0.2108 0.4339 0.4776 39.2359

8.00 0.1 CO 0. 0150 0.5 OCC C.0500 0 a 2566 0-5211 0.59^2 40.8632

10.00 O.ICO 0.0150 0.5C CC C.C5 00 0. 30u0 0.5961 0.7056 5^.3797

12.00 0 . 1 0 c 0.0150 0. 5CC0 0.0500 0.3420 0.U616 0. 8149 57.4185

2.0C C.lCC C. 0150 0.7C7C C.u5C0 0. 0912 0.2540 0-2164 19.2631

4.00 0.1 oc 0.0150 0. 7C7C 0.0500 0.1432 0.4121 0.3552 31. 6737

6.00 O.IGC 0.0150 0.7C70 0.0600 0. 1874 0.5413 0-4778 40-9653

8.00 C.IOC 0. n5o 0.7C70 C.C500 0.2279 0.6503 0.5942 4o - 937a

10.00 C.IOC 0.0150 0.7 070 C.C500 0.2659 0.7476 0.7056 54 . 314 7 12.00 C.IOC 0. 0150 0. 7C70 C.05no 0.3020 0.8349 0.8149 60. 2076

2.00 0.100 0.0150 0.8660 C.0500 0. 0855 0.2874 0.2164 19. 6a37

4.00 C.IOC 0.0150 0.8860 C.C500 0. 1339 0.4682 0- 35 /2 32.3404

6.00 O.IOC 0.0150 0. 8 660 C.C50J 0.1752 0.615a 0-4776 41.8678

8.00 0.1 OC 0. 9150 0. 866C 0.0500 0.2125 0.7435 0.5942 50. 0500

10.00 C.IOC 0.0150 0.6660 C.0500 0. 247o 0 . 85 48 0. 7066 56. 112 0

12.00 0.1 CO 0. 0150 0-8660 0.C5O0 0.26L5 0-9544 0-814 9 61 . 65a 5

2.00 C.lCC 0.0150 0.9659 C.0500 0.0326 0.3072 0.2lo4 19. 68a2

4.0U O.ICC c.0150 0.9659 C.CaOO 0.1293 0.5009 0.3552 32.0 79 7 6.00 C.lCC 0.0150 0.9659 C.0500 0.1638 0 . o60 7 0.4778 4 ^ . 32 01

8.00 C.lCC 0.0150 0. 9659 C .o500 0.2050 0.7970 0.5942 50,697a

10.00 O.IOC 0.0150 0.9659 C. C500 0 a 2 3o6 0.'#183 0. 7066 5c. 7715

12.00 O.ICC 0.0150 0.9659 C.C500 0.27UO 1.0283 0.3149 64. . 420 5

2.00 O.ICO 0.0150 0.9962 C.C500 0.0818 0.3125 0.2184 19.9352

4.00 C.IOC 0.0150 0.9962 C.fSOO 0.127a 0.5120 0.3552 32. 7as 7 6.00 C.lCC 0.0150 0.9962 C.C500 0.1671 0.o737 0.4778 4 2. 444 4

6,00 0.1 CO C.Ol >0 0.9962 O.CSOO 0.2028 0.O137 0.5942 50.7632

10.00 O.ICC 0. 0150 0-9962 0 a Cano C.23a2 0.9371 0 .706 6 56.9430

12.00 C.lCC 0. OlaO 0. 9962 C.t50c C.267a i.OaOO 0.8149 62 .62^5

52
, Plow DU. SUPPLY CPAIN DKA IN F LOW ENTRY nor HAL PIPt length to

,^/s* COEFF SLOPE SLOPE Ent«y JEPTH Energy •depth NORMAL uEPTH.

(SlNi (SiNJ RATIO h/0. .1. H/0. L/0.

1

2.00 0«I0C 0. 0130 0. 2 0.(j250 0. 1263 0.1<|0<I 0.2776 19.0030

^.00 o«ico 0. U30 0. 2 ^ CO 0. C290 0.2001 0.2237 0.9573 3U. 7068

6.00 C.ICC C.013C 0.236O C.C250 0.2699 0.2o89 0.6216 3o .0392

a .CO C.IOL 0.0130 0.25tfc C.C230 0.3235 0.3991 0.7778 9^:. 7 30 3

10. CD C.ICC 0. 0130 O.?3to C .6250 0.3301 0.3907 0.9302 93.

12.00 O.ICO C. 3130 0.23te C.C230 0.93<»3 0.9325 l.OOoO 39.9803

2.00 C.ICC C.0150 0.5CCC C.O250 0. 1020 0.2062 0.2776 21.9309

^.00 O.ICC 0.3150 0.3 OCC C.C250 0.1603 0.3325 0.9573 33.9182

o.OO 0.1 CO 0.3130 O.tCCo 0. 0250 0.219S 0.9339 0.6216 91.6631

a.oo C.l CO 0. 3l>0 C.3CCC C.G^'-O 0 • 23o6 0.8211 0.77/8 9 / . 1 8 8 0

10 . oc C.ICC 0. 3150 0.tC(

C.C250 0.3000 0.3961 O.9302 51. 03i.8

12.00 O.ICO C. 3150 O.tOCu C.C250 0.3920 0. o6 1

l.OOJO 93. 3399

2.00 C.IOC 0.0130 0.7C7L C.C230 0.0912 0.2590 0.2776 22 . 1386

A. 00 O.ICC 0.0150 C.7C/0 C.C290 0.1932 0.9121 0.9573 39. 6397

6.00 C.ICC 0.0)30 0.7C7U C. C2‘-G C . 1879 0.3913 0. 6216 93. 33^2

8.00 O.ICO 0.3150 0. 7C7c C.C2 50 0.2279 0.630^- 0.7778 99. 2io3

10.00 C.ICC C. 0130 0.7C7C C.C25J 0.2639 0.7976 0.93o2 53. 9 373

12.00 C.i OC C. 3130 0. 707C C.C230 0.3020 0.8399 1.0000 9c. 1279

2.00 O.ICC 0.0130 0 . ectc C.C250 0. 0853 0.2879 0.2776 22. 3s22

-i. 00 c.l CO C. 3133 C. f 6LL C.C73C C.1339 0.96f- 2 0. 9573 35 . 30u 3 6.00 O.ICC C . 0 1 3 0 o.tetc 0.6250 0. 1732 0.ol53 0.6216 99.211 1 H.OO 0.1 CC 0. 015u 0. bttc C.C250 0.2125 0. 7933 0.777 8 3U .'328 0

10.00 C.ICC C. 0130 0.8,660 ( .C230 0.2971: 0 . d3 9o 0.9302 59. 7380

12.00 c.l oc 0. 3130 0. £6tC 0.C250 0.2813 0. 9599 1.0000 99.8076

2.00 C.ICC 0.0130 0.963V C.C'250 0.0826 0.3072 0.2776

<».00 C.IOC C. 0150 0.9639 C .02 50 U.1293 0.6009 0.957 3 35.6319

6.00 O.ICC' 0 . 3 1 > 3 3.9639 C. C?'0 0. 16o« 0. o607 0. 6216 99

6 9

8.00 (..ICC 0 . > 1 5 j 0.9639 C .02 30 0.2030 0. 7970 0.7778 30 . ^ : 1

1C. 00 C.IOC 0. 3130 0.9t 39 C. C2 30 0.2386 0.9188 0.9302 38.9007

12.00 O.iOO ('.31^0 0. 9639 C . C 7 5 0 0 . 2 7 j 8 1.0283 1 • 00 J 0 3u . j ^‘8

2.00 C.ICC C.0130 0.9962 C.C23G • 0.0818 0.3123 0.2776 22.7o'. 1 <1.00 C.IOC C.0130 0.9962 ( .c2 5.3 0.l27c 0.6120 0.9373 33. 736

6.00 O.ICO 0. 0130 0.996^ C.C250 0.1671 0.3737 0.6216 9 9. 7 3

H .00 C.ICC 0. 3130 C . 9 6 C .C?*^u 0.2 Ccc 0 . 0 1 J 7 0.777c 31.0923

1

. c 0 C.ICC 0.0133 0.9962 C .62 53 0.2362 0. y37i 0. 93u2 53.67)5

12 ,0u C.i oc C. 3150 0.9962 C .6290 0 .2 o7o 1 .030 J 1 . 000 C 3 0 . f 1 ^ X 9

53
FLOW

L/S.

2.00

A. 00

6.00

8.00

10.00

12.00

2.00

A. 00

6,00

e .00

10,00

12.00

2.00

^,00

6.00

8.00

10.00

12.00

2.00

^.00

6.00

8.00

10. Gu

12.00

2.00

<1.00

6.00

8.00

10.00

12.00

2 .00

<r.00

6.00

8.00

10. CO

12.00

DIA* HAWN. SUPPLY TRAIN DRAIN FLOW ENTRY MORHAL PIPE LErtCTH

H, COEFF SLOPE SLOPE ENTRY DEPTH ENERGY DEPTH NORnAL DEPTH^

ISINI ISIN) RATIO H/0. «. H/0. L/D.

ic

O.lOO 0.0150 0.2586 0,0167 0.1263 O.IAOA 0.320 1 16.9767

0.100 0, 0150 0.2586 0.C167 0.2001 0.2237 0.5317 27. <»7u0

o.ioc 0.0150 0.2566 C.C167 0.26<iA 0.2869 0.7271 31.2717

C.l cc 0.0150 0.25o8 O.Cl*i7 C.3235 0.3AA1 0.91,0 31.3958

o.ioc 0. 0150 0.2566 C. ol<^ ^ p. 3301 0.3907 1.0000 3A.2753

0.1 oc 0.0150 0.2566 0.C167 U.A353 0.A325 1.0000 • 32.0298

O.ICO 0.0150 0.5CC0 0.0167 0.1020 0.2062 0.3201 20. 5906

0.100 0.0150 0.5C0C 0.0167 0.1605 0.3325 0.53130. l3o2

O.ICO 0,0150 0.5CC0 0.0167 0.2106 0.6339 0.727 1 36.9 0^ ^ C.IOC 0. 0150 C.5CCC C.C167 0.2566 0.5211 0. 9l<i6 36. 7729

G.lCC 0.0150 0.5C00 C.C167 0. 3000 0.59bl i.OOoO 39. 39i5

0.100 0.0150 0. 5CCC 0.0167 U.3A20 0. 661

i.OOuO 37.75i.i

C.IOC 0,0150 0.7C7C C.0167 0.0912 0.2590 0.3201 21.3256

O.IOC C. 0150 0.7070 0.C167 0.1932 0.9121 0. 5317 31.9382

O.IOC 0, Ol3 0 0.7 070 C.0167 0.1879 0.5913 0. 7271 3o. 6U2

0.1 oc 0. 1150 0. 7C7G C.Ol 67 0.2279 0.o50d 0.9196 35. 7s29

O.IOC 0. 0150 0.7C70 C, 0167 0.2659 0.7976 l.OOuO 91.7859

O.IOC 0. 0150 0. 7C7C 0.6167 0.3020 0.8399 I.OOOO 90. 9953

O.IOC 0.0150 0.66fcC C.C167 0.0355 0.2879 0.3201 21. 7209

O.IOC 0.0150 0.8660 C.0167 0.1339 0.H662 0.5313.:. 179 7 C.lOO C . 0 1 5 0 0 . feeeo O.Cl 67 0.1752 0.6155 0.7271 37.5057

O.ICO 0.0150 0.8660 C.C167 0.2125 0.7935 0.919 6 35. 7701

C.IOC C. 0150 O.t 660 C.0167 0.2976 0.6D98 1.0000 93.0919

0.100 0.0130 0. 6660 0.0167 0,2815 0 . 9599 1. 0000 91.9598

C.IOC C. 0150 0.9t59 C.C167 0.0326 0.3072 0, 3201 21.9229

0.100 0.0150 0.9659 C.C167 0.1293 0.5009 0.5317 32.3039

0. ICC C.0150 0.9659 C.0167 0 . l6o 8 0 . o6 0 7 0.7271 37.96J1

c.l CO 0.0150 0.9659 r .0167 0.2050 0.7970 0.9196 35.9811

0. IOC 0.0150 0.9659 C. 0167 0.2386 0.9163 X • 0 0 u 0 93. 7o29

0*1 00 0. 0150 0. 9659 f .01 67 0. 270c 1.0283 x«oouo 92. 7326

O.ICO 0. 0150 0.9962 C.Cl 67 0.0318 0.3125 0.3201 21. 9733

c.l CO 0.0150 0.9962 O.Llb? 0.1278 0.6120 0.5317 33.00i.7

C.ICO 0.0150 0.9962 C.0167 0.1671 0.O737 0.7271 3a. I0a2

C.IOC 0. 0150 0. 99t2 0.0167 0.2028 0.8137 0. 91s 6 3b . 3 3s 9 C.lOO 0.0150 0.99c2 C.Ol 67 0. 23o2 0.93 71 I.OOoO 93. 9S33

O.lUO 0.0150 0.99t2 C , C 1 67 0.267a 1.66 00 1.0000 9t . '^9o2

It

I

8

18

\l

Ii

8,

8 ,

10 ,

L'.

8

S

10
i ftnw

L/S.

N

DU. «4-iN. SUPPLY OKAIN FLOW ENT9Y NJRHA L PIPt LENGTH

COcfF SLCPE

(SIN)

SLLP5

(SIN)

EhriiY DEPTH

PAin H/0.

EhERCY

n. DEPTH

H/0*

NOKHAL jEPTH

L/13.

2.00 0.100 0.0150 0.2566 C.C125 0*1263 0.1404 0.3552 16. 8ld2

<».00 0.100 0.0150 C.2586 C.C125 0.2001 0.2237 0.5942 16. 2155

6.00 0 . 10 c 0. 0150 0.2566 0.0125 0.2644 0.26*59 0.8149 1 b . j 6 d d 8.00 0 .

c c 0. 0150 0.2tfc6 C.C125 0.3235 0.3441 l.OOJO 2^ . 9^74

ilO.UO O.iOC C.0150 0-^566 C.C125 0*3501 0. J907 1. 0000 30. 7114

U 2 .OO 0 . 10 c 0.0150 0. 2 566 0.0125 0*4343 0.4325 *1.000 0 29. 6873

2.00 O.IOC C. 3130 0.5c6c C.0125 0. 1020 0.2062 0. 3552 17. 3246

<1.00 O.ICC 0.0150 0.5 CCO C.C125' 0* 1605 0. 3325 0.5942 23.2301

b • 0 0 O.IOC 0.01^0 0.5CC0 C.C125 0*2lu6 0.^339 0.6149 2o •

44 O

6.00 O.ICC 0.0150 0. 5CC0 C.0125 0.2566 0.5211 l.OOoO 2b. 72dd

10.00 C . 1 0 c 0.0150 0 . 5 C C 0 C . C125 0.3000 0.6961 1.0000 36. 7ol3

12.00 O.l CG C . 0150 0.50CC 0.C125 0.3420 0.O&16 1.0000 36.3444

2.00 C.ICC C.0150 0.707C C.0125 0.0912 0.2540 0. 3552 16. 00o9

<1.00 O.ICC 0.0150 0.7070 C .0125 0.1432 0.4121 0.5942 23. 77-6

6. CO C.ICC C.0150 C.7C70 C.0125 0. 1574 0.5413 0.8149 24.6054

S.QO C. ICO 0. 01 jO 0.7C7C C.C125 0.2279 0.o503 1.0000 2c . 52 6 7 10,00 ( .100 C. 3150 0.7C7C C.0125 U.2659 0.7476 1. 0000 3 0 . 1 5 5 9

12.00 O.ICC 0. 0153 0.7C7C 0.0125 0.3060 0.O349 I.OOOO 3o. Ob-»6

2 .00 C.ICC 0. 3150 0.6660 C.C125 O.0355 0.2674 0.3562 Id . 35-

<r.00 C.IOC 0.0150 0. 66t 0 O.Cl 25 0.1339 0.4682 0. 5942 2*1. 1323

6.00 O.IOC C.0150 0. 6660 C.C125 C.I 762 O. 0 I 55 0.8149 24. o6.i

6.00 0.1 CC C.0150 0. fc tt '' 0.C125 0.2125 0.7435 1. 0000 29i 53x3

10.00 C.ICC 0. 01 50 0.666c C.0125 u . 2 4 78 0.s548 1.0000 39.4697

12.00 0 .

c c C. 3150 0. 666C C .0126 0.2810.9644 1.0000 39.5213

2.00 C.ICC C.0150 0.«J655 C.0125 0. 0d26 0.3072 0.3552 lo. 53c 3 <f.00 O.IOC C. 3150 0.^65*# C.0127 0.1293 0.5009 0. 5942 24. 3idO

6.00 C.IOC C. 01 3 O 0.965S C.0125 0 • I 008 0.6607 0.8149 2*1 . 1

c • 0 0 0.1 GO C, 3153 C. 55 C . C 1 2 6 0 . 205 u 0.7970 1.000 0 30. 0373

10. CO O.ICC 0. 31>0 0.S65S C.Cl 25 0 . 2 3o6 0.9188 I.OOJO 4 V, . i 2 d > 12.00 0.1 CC 0.0150 0.S659 C.0125 0.270H 1.0283 1 .OOo G *fU . 29 5 0

2.00 O.ICC 0.0150 0.9<;62 C.0125 0. Odld 0.3125 0.3552 1 c . b -j JO

<».C0 0.1 c'C C.OIdO 0.9962 C.C 1.25 0.12/8 0.5120 0.5942

6.00 C.ICC 0.0130 0.9962 C.0125 0.1671 0.O737 0.8149 2*1 . -j^i / 7

? . Oo C.i CC c . n 5 0 0. 9962 C.I 1 25 0 . 2 02 6 O. 0 I 37 l.OOuO 3o. 1 Sd2

10.00 C.ICC C.0150 0 .‘-96 2 C.012C 0. 23o2 0.9371 l.GOdO 4 u • j J - J 12.00 0 . 1 C 0 0.0150 0.9 9t 2 C.0125 u • 2o / d 1 . -500 1 .OOdO 4u . 50 j 3

55
FLOW DIA. CRAI^ DRAIN FLOW ENTRY , NORMAL PIPc LENCThf

L/S* H. COEF-f SLOPE SLOPE Entry depth Energy DFPTh HOkrtAL OcPI

CSIN) (SIN) RATIO H/D. • n. H/D. L/0. ,

2.00 0»10C 0.0130 0.258b C.0500 0. 1422 0.1150 0.2478 12.3856 ‘ 4.00 0.100 0. 0130 0.25bc C.C500 O.22o7 0.1614 0. 4050 19.4377

6.00 O.IOC O.Oli

0.256O 0.C900 0.30U5 0.2332 0. 549 3 24.9289 1 8.00 0.1 00 0.0130 0.2 5tb C.C500 0.3669 0.2766 0.684 1 2a. 8658

10.00 O.IOC 0. 0130 0 . 2 5e c O.oSOO 0.4343 0.3136 0.8149 31.592 6 |i

12.00 0 .100 0.0130 0.25bc 0.0500 0.4976 0.3462 0.9438 33.8859 jl

2.00 O.ICC 0. 0130 0.5CC0 C.0500 0. 1143 0.1662 0. 2476 13.7195 , 4.00 C.IOC 0.0130 0.5CC0 C .0500 0.1313 0.2663 0.4050 21.6457 i 6.00 0.100 0.1130 0.5CC0 C.C500 0.2369 0.3454 0. 54d 3 27. SI >4 it

e.oo C.i GO 0.013 0 0. 5CCw C.C500 0.2917 0.4124 U.664 1 32.334 3 ! 10.00 C. 100 C. 0130 0-5CCC r.c5oo 0. 3420 0.4699 0.8149 33. 568 3

|] K 12. OU C.lOO 0.0130 0.5CC0 C .0500 0.3399 0.3216 0.9436 38.323'J 11?

j 2.00 0.100 O.C130 0.7C70 C.0500 0. 1026 0.2039 0.2478 14.3031 1 4.00 O.ICC 0.0130 0. 7070 C.L500 0. 1615 0.3288 0.4050 22.6220 ii 6.00 C.ICO 0.0130 0.7C7C C. C500 0. 2120 0.4293 0. 54b 3 29.1233 6 8.00 0.100 0.0130 0.7C70 C.C500 0.2565 0.5138 0.684 1 33.9132 8 10.00 0.100 0. OldO 0. 7 C70 0.C5O0 0.3J20 0.5690 0.6149 37.43x9 I 13 12.00 0.100 O.OldO 0. 7070 C.C500 0. 3440 0.6546 0.9438 40.4007 I 1?

2.00 O.IOC 0.0130 0.6660 0. 0500 0.0961 0.2302 0.2478 14.6122 ? 4.00 G . 1 C C 0.0130 0. tttC c.o-:oo 0.1510 0.3726 0.4050 23.1413 ^ 6.00 C.lOO 0. 0130 0.8660 c.0500 0. 1979 0.4B84 0. 54o 3 29.6223 b 8.00 0.100 0.0130 0.866O C.C500 0.240c 0 . 5 fc 64 0.684 1 34 • 7 7o I h 10.00 0.100 C. 0130 0.666C C. C500 0.2315 0.o714 0.8149 3o.4l30 lie 12.00 0.1 oc 0.0130 0. 6660 C.U500 0. 3201 0.74d4 0.943 0 41.5232 I

1^

2.00 O.IOC 0.0130 0.*;659 C. C50.0 0. 09^:3 0.245^ 0.2478 I4.7b77 i, 4.00 O.IOC 0.0^ .0.96 59 C.C500 0.1456 0.3991 0.405 0 23.4078

6.00 O.ICC 0.0130 0.9659 C . 05 00 0 . 19o b 0ri2 3l 0 . 54 3 3 3y.l730 t. 8.00 O.ICC C . 01 3 0 0.9659 C.C500 0.232 1 0.6290 0.664 1 35.2075 s. 10.00 O.IOC 0.0130 0.9659 C.G5 00 0.270c 0.7224 0.8149 3o. 9360 i 13, 12.00 0.100 0.0130 0.9659 C.C500 0.3029 0.3052 0.9433 42 . 1039 |i ii,

2.00 0.100 0.0190 0.9962 C.0500 0.0919 0.2508 0.2478 14.8130 1 4.00 C.lOO 0.0130 0.9962 C.C500 0. 1442 0.4068 0.4030 2 3. 4 8o 4

6.00 O.ICC C . 0 1 3 0 0.9962 C.0500 0 • 1 d 0 6 0.3334 0.5463 30.?6-»7

8.00 O.ICC 0.0130 0. 9C(2 C.C500 0.2296 0.6417 0.684 1 35 . 32 c 0

10.00 O.ICC 0.0130 0.9962 C. G‘^00 0 . 267c 0.7374 0. 8149 3 9 . U 7 V 3 1 [ii^^ 12.00 0.100 0. 013U 0.99c2 f .0500 0.3044 0.3223 0.943 6 4 2 • 2 7 J

56

4
f LOW

l^/S.

DIA. SUPPLY CFAI-^

h, C'HFF SLCPfc SLCP5

tSI^) <SIN)

DRAIN PLOW ENTRY

ENTRY DEPTn ENERGY

RATIO ri/D. n.

NORMAL PIPE length H

depth normal j£PTri»

h/0. L/0.

2.00 ^•100 0. OliO 0.2566 C.C250 O •

^J 0.1150 0.3157 12 • 6AA

<>•00 C«10C O.TldO 0 . ^ 5 6 L C .E 250 o . 22o7 O.ldlA 0.5239 1 0 • 3 1 0 A 6.0U o.ioc 0. 01 JO 0. 25hb C. 02 5*j 0 . 3005 0.2332 0.71i3 21. 032 7 3.00 C.ICO 0, TUO 0.25ta 0.'. ?5G U. 3669 0.2766 0 . 89'f 9 22.70^/2

10. GO C.IGO 0. Ol JU 0.2 566 0.C250 .0. A 3^13 0.3136 1.0000 22. 2029

12.00 G.IGO 0.0130 0.?56d C.C250 0.A976 0. 3A2>2 1.0000 20 . id3 ?

2.00 C.IOC 0.01 JO 0.5CCC C.0250 0. 11A8 0.1662 0.3137 13. 85A0

A. 00 O.IOC 0. 0130 0.5CCC C.G2 SO 0.1913 0.2663 0.5239 20.3515

6.C0 C . 1 G 0 0. ciso O.tOCG C.C250 0.23o9 0. 3A 5a 0. 71o3 23 . 763 8 8. GO C.ICC C . 0 1 J 'J 0. 5CC

C.C?50 0.2917 0.A12A 0. 6999 26 . 193 A 10. Ou 0.100 C . 01 3 0 0.5C0G 0.G250 0. 3A<iO 0.A699 1. OOjO 23. 9A^ J

12. CO G.l CO 0. OIJO 0.50CG C.0250 0 . 3 j 9 9 0. 5^: 18 i.OOoO 2a. 377 7

2.00 C.ICC G.OIJO 0.7C70 0.0250 0. 1026 0.2039 0.3167 lA. A22A

A. CO r .ICC 0 . T U 0 0.7C7G c.c?so C .1616 0.3289 0.5239 21. 3103

6.00 0.100 G.OIJO 0.7C7C C.G2S0 0.2120 0.A293 0. 71o3 2 6 • 0 O >J 5

8.00 0.1 CO 0. OldO 0. 707G C.G2 50 C . 2 5 0 6 0;5l33 0.999 9 2o. 6i 6 6 13.00 C.ICC c. ouo 0 . 7 C 7 0 0. G?50 0 . 30 4 0 0.3890 1.0000 27.77/1

12.00 C.l CG G.OIJO 0. 707C C.G250 0 . 3A A 0 0. 65A6 1. OOuO 2o. a262

• o o C.ICC 0. C130 O.cttO C.C250 G. 0961 0.2302 0.3157 lA. 7230

A. CO C.IGC 0.3190 O.it 6G C.G250 0.1510 0.3723 G.5239 21. 3322

c> . GO C.ICO 0. CloO 0. t 660 G.C250 0. 1979 0 .**8 8 A 0. 7163 2 5.771-/

rt • C o C.IOC G.OIJO 0. r66U r. 02 5 0 0 . 2 AO ci 0.6bbA 0. S9-. 9 2 7". Aloy

1 c.oo C.ICC C. U80 O.fcttG r.0250 G . 2 di

0. o7 1 A 1.0000 2 c . 76** o 12.00 C.ICC C. OUO 0.8660 0.O250 U.3201 0. 7A9A i.OOoO 27.6632

2.00 C.IOC 0.0180 0.9659 C.C250 C • 092 a 0.2A69 0.3157 lA « Jd^f 6

A. GO C.ICC 0. OUO 0.9659 C.0250 C . 1 A 6 6 0.3991 0. 5239 22. 101/

6 . Go C . i C C 0 . ouo 0 .*"659 C .C2 ^9 O’ . 19u d 0.6231 0.7163 26. 134 d

5.00 C.l CC 0. 3U0 0.9# 59 ( .C?5J 0.2321 0.&290 0. 8999 27. J2J3

10.00 C . lu C 0. 01 30 0.9659 C.C2 0.270d 0.7ii2A 1. 00 j 0 29. 2^ - 6 12 .00 O.ICC 0.0180 0.9659 C. 125.J U. 3079 0 • c052 l.OOJO 2o. lAi3

2.00 C.ICC G.OIJO 0.9962 C.C25C 0. 0919 0.4503 0.3157 1A.93J

A. 00 O.lcG c, n »'j 0.99t 2 r.G250 O'. lAt2 0 • A •J 6 0.5239 24.17-/9

6.00 C.IOC 0. 0 U 0 0,91^62 f . 1 2 ) U 0 . 1 3 o d 0.633a o. 7 1 6 3 2o. 2 32 3 P .00 C .1 oc 0 . 0 U 0 0. 9964 r.t?5o 0 • 2290 0.6A L 7 0. 8 y y 9 2 7. / 3 72

1 0 , . j (J o.ioc 0 . 0 U 0 0.9‘^L^ 0. C2*'.-^ 6 a 2 6 7 J 0. 737a i. OO gO 2 9. A J vj o 12.00 O.i GO 0 . n io 0. 9962 ('.0 2 5') L . 30As 0.vi22 3 1 . QOg 0 40.3373

57
FLOW OlA. nANH. SUPPLY OPAIN DPAIN FLOW FNTRY NORNA L PIPfc LENGTH

L/S. M. C3FFF SLCPF

(SIM

SLCPF

(SiN)

ENTRY DEPT40

RATIO H/D.

ENERGY

rt. DEPTH

H/0.

HORHAL jEPTh

L/0.

2.00 0.100 0.0100 0.2588 0.0167 0.1422 0.1150 0.3645 9.3670

^•00 O.IOC 0.0100 0-2588 0.C167 0.2267 0.1014 0.6108. 12. 14 /6

6.00 C.iOO 0.0100 0.2586 C.C167 0.3005 0.2332 0. 84 0 3 6.35/3

0.00 C.ICO 0.0100 0.2588 0.0167 0.3639 0.2766 1.0000 14.6103

iO.OO C. ICC 0. OHO 0.258b C. C167 0.4343 0.313b . 1.0000 l3 - 34 d i

12.00 C.ICO 0.0100 0.2588 0.0167 0.4976 0.3462 1.0000 16.0135

2.00 C.IOC 0.0100

r. 0.50CC C.C167 0. 1148 0. 1662 0 • 364 5 10.43U0

^.00 0.1 cc 0. 0 liO 0-5 COC 0.0167 0. 1813 0 .2663 0. 6108 13. 122 3 6.00 C . 1 c c C. 0100 0.5CC 0 C.Cl 67 0.2309 0.34 54 0. o4u 3 11 . 60S 5 8.00 O.IOC 0 . 0 1 0 0 0.5CCG 0 . C 1 6 7 0.2917 0.4124 1. 00 JO 17. 0343

10.00 C.ICO 0.0100 0.5C0C C- C167 0. 3420 0.4699 1. GOvjO 22.3134

12.00 0.100 0.0100 0.5CCC ( . C 1 6 7 0.3399 0.5218 1. OOUO 22.1100

2.00 C.ICO 0. 0100 0.7C70 C.C167 0. 1026 0.2039 1). 3645 10-91J1

A. 00 C.ICO 0.0100 0.7C7C C.Cl 67 0.1615 0.3280 0.61 J8 13.7936

6.00 O.IOC 0.0100 0.7C7C C.C167 0.2120 0.4293 0.8403 12. 1 J33

8.00 O.IOC 0.0100 0. 707C 0.C167 0.2535 0.5138 • l.OOuO 19. 3149

10.00 C.ICO 0. 0130 0.7C7C C . Cl 67 0. 3020 0.5890 l.OOuO 24.3296

12.00 0.1 cc 0.010 0 0. 7C7C C.C167 0 .34s0 0.6546 1.0000 24. 1419

2.00 O.ICO 0. OliO o.tet

0.0167 0.09O1 0.2302 0.3645 11. 15/6

4.00 0.1 CO C . 0 1 0 0 0 . 8 6 fc C C.C167 0.1510 0.3728 0.6 10 8 14.13/3

6.00 C.iCC 0-0130 0.8btC C. 0167 0.19/9 0.4084 0.8403 18-'2420

8.00 C.l cc C.O10O 0 . 8

" u C.Cl 67 0. 2408 0-5564 i.OOuO 2 u . 1 3/

10.00 O.IOC 0. 0100 0. 8660 0. C167 0.2315 0.6714 i.OOOO 25.303/

12.00 C.ICO 0.013 3 0.8660 C.C167 O.3201 0.7404 1.0000 25.2554

2.00 c.icc 0. C10O 0.S65S C. 0167 0.092a 0.2453 0.3645 11.2004

4.00 0.1 oc 0.0100 0.4659 0.C167 0. 1436 0.3991 0.610 6 14.3042

6.00 C.ICO 0.0100 0.965s C. 0167 0. 1900 0.5231 0. 8403 1 3 « 3o7 0 8.00 O.IOC 0.010 0 0.9659 0.0167 0.2321 0.6290 I.OOj 0 20.55/2 i 10.00 C.ICO 0.0100 0.9659 C.Ol 67 0.2708 0. 72 2 4 1.0000 23.S2H

12.00 O.IOC 0.0100 0.9659 C. C167 0.3079 0.0052 1.000 0 25. 8332

2.00 0.100 0.0100 0.9962 C.Cl 67 0.0919 0.2508 0.3645

j II. 3 I 0 I i 4.00 C.IOC 0.0100 0.9962 C .0167 0. 1442 0.4068 0.6108 14.34o7 I 6.00 C.ICC O.O10C 0.0962 C .Cl 67 C. 1800 0.3334 0.8403 13.39J5

8.00 0.100 0. 3100 0.9962 C . C 1 6 7 0.22 >6 0.6411.0000 2u.6/3 2 10.00 C.ICC 0. C10C 0.9962 C.Clt? 0.2678 0.7374 1.0000 23 .97t

12.00 O.ICO 0. 0100 0.9962 0.0167 0. 3044 0.O223 I. OOoO 2 6.0 Oi. J 1
i

i

I

II

I

D 0.15

59

L
flow ou. MANN. SUPPLY cfain DRAIN FLOW EiURY NORNAL PIPt LENGTH T L/S, COEFF SLOPE

(SIN)

SLOPF

(SIN ) ENTRY depthRATIO H/D.

ENERGY

N.

depth

H/0.

NORNAL DEPTH.

L/D.

2.00 •150 0. 0090 0.2568 C.C500 0. 046C 0.1973 0.0770 17.4232

4.00 0.15C C. OO'VO 0.2566 C.6900 0.0710 0.3303 0.1201 29. 7bd4

6.00 C.15C 0. 10)0 0.256b C.C500 0.0919 0.4433 0. 1569 41.1816

8.00 C.lbO 0 , 10)0 0 . 4686 C .0900 0.1104 0.5451 0. 1901 50.379 5 li 10.00 C.150 0.0090 0 . 256

O.Csnn 0.1278 O.o355 . 0.2211 59.6272

12.00 0.160 0.009 0 0.258b 0.05 00 0.1439 0.7215 0.2507 68.5173

2.00 0.150 0.0090

fi 0.50CC C. CoOQ 0.0375 0.2919 0.0770 1 V • 4 8 0 3

4.00 0. 15C 0. 0090 0.5CCC C.C500 0.0577 0.4924 0.1201 33.31U4

6.00 C. 150 C. QO-i C 0.5CCC C. C50C 0.0744 0 . 66 59 0. 15b9 4 6. 002 7 8.00 C.15C 0.0090 0.5C00 0.0500 0 .0594 0.C193 0.1901 5b , 7o i

10. OO C.15C 0. 0090 0.5CCC C. C500 0.1032 0. 9oCb 0.221 1 6 6 . 6 0 b 8

12.0C C.15C 0.0090 0.5CCC 0.05^0 0.1160 1.U943 0.2507 7 c . 4 6 j 2

2.00 0.1 5C 0. 0090 0.7C70 C.C5 00 0.0337 0.3592 0.0770 20. 263 7 4.00 C . 1 5 0 0.0090 0. 7C7C C.C500 0.0516 0.O064 0.1201 34.6491

6.00 C.15C 0.0090 0.7C70 C.C900 0 . 06b 7 0.6244 0. 15o9 ‘7.8109

8.00 C . 1 5 C 0. 0Q9 0 0. 7070 C.U500 0 . OHOO 1.0184 0. l-^ol 59.0642

10.00 C. 15C 0 . 0 0 0 0.7C7G C.05 00 0.0923 1.1944 0.22169.28d1

12.00 0.150 0.0090 0.7C7O C .0900 0. 1038 1.360b 0.2507 79 . 5 00 4

2.00 C.15C 0.0090 0. 86t0 C.0500 0.0316 0.4069 0. 0770 20. 6519

4.00 O.i 5C 0. 0090 0. 6 tec C.C500 0. 04b 0 O.0o«9 0.1201 36.3224

6.00 C. 15C 0. 0C9G 0. 8660 C.C900 0. Oo2b 0.9354 0.1569 4 a . 7 Z J 3 8.00 0.150 0. 0090 0.66 0 C.C500 C.0751 1.1527 0. 190 1 6u . Ibo 9

10.00 C.15C 0. 0090 0.866C 0. C500 0 . 08b 5 1.3589 0.221 1 70 . b 339

12.00 C.15C C. 0090 0. 6 66C f .0500 0.0972 1.5432 0.250 7 81.0546

2.00 0.15C 0.0090 0.9659 C . C9no 0.0306 0.4344 0.0770 20.3545

4.00 0.15C 0.0090 0.9659 C.C^-OO 0.0470 0.7373 0. 120 1 35 a bbl

6.00 0.15C C . 0 0 9 C 0.9659 C. 0500 0. 0605 0.y98d 0. 15o9 49 . I6b2

8.00 0.1 50 0.0090 0.9659 C.0500 0 .072 6 1.2344 0. 19 0 1 b Cl a 7 38 1 10.00 0.150 0. 0090 0.9659 C.C5 00 Q • 0 8 3b 1.4545 0.2211 71.3190

12.00 C.15C 0.0090 0.9659 0.C9O0 O.0938 1 . bbl0. 250 7 8 1 . 8 4 0 3

1 2.00 0.15C 0.0090 0.9962 c.0500 0.0303 0.‘»42b 0.0770 2C.9C75

4.00 C.15C 0.0090 0.9962 0.0500 0.04b5 0. 7507 0.1201 35. 7*13 1 6.00 C.15C 0.0090 0.99t2 C. 0500 0.0599 1. 0189 0. l5o9 49.2934

8.00 C.l 50 0. 0090 0.9962 0.0*^ 00 0.071O 1.2593 0. 190 1 60 . 8 9 j 7 10.00 0.15C 0. 0090 0.9962 C.C90C 0.0327 1.^844 0.2211 71.3117

12 .00 C.15C 0. 0090 0.9964: 0.0500 0.0930 1.0917 0.2507 82.0347 ,

60
FLCH DU. SUFPLY DRAIN FLOW ENTRY NORNA l PIPE length

L/S. h. COEFF SLCP£ SLOP‘D Entry UEPTh Energy OEPTrt NORnAL JcPT

«S IN) (SIN) RATIO h/D. rt. H/D. L/U.

2.00 O^ISC 0.0090 0.2586 0.C250 0.0460 0.1973 0.0960 24.4377

A. 00 C.15C o.*»o^o 0.25fct 0.0250 0.0710 0.3303 0.1508 4 1. 75 5

6.00 C.15C 0. 10)0 0. 25bt C.L250 0.0919 0.4433 0. 1976 56.304a

5.00 0.1 to 0. 00)0 0.25tt C. 1.2 50 0.1104 0.6451 0.2406 64 . o i 7 3

10. Ou 0.150 0. 0090 0.2 5Eo C .0250 0.127^1 O.o355 0.2810 6 i •

t 4 o 12.00 0.150 0.0090 0.25fcfc C .0250 0.1439 0.7215 ' 0.3196 92 . 4869

2.00 0.15C 0. 0090 0.50CG C.C25Q 0.0375 0.2919 0.09c0 26. 1320

^.00 C.150 0.0090 0.5CCC C.C250 0.0577 0.4924 0. 1508 44. co34

6.00 C.15C 0. 1090 0.5CC C C.C250 0. 0744 0.66 59 0. 1976 6 0. 29*t9

8.00 C.150 0.0090 0. 5CCt C.C250 O.0894 0.O193 0 . 2 4u 6 74. 5932

10.00 C .15 0 f. 0090 0.5 CCC f .02 50 0.1032 0. 'yoOo 0.2810 c 7 . o 1 a a 12.00 C.150 C.009J 0. 5CCC C.025& 0.1160 1.0943 0. 3196 99.5463

2.00 C . 1 5 C O.C090 0.7C70 C.C250 0.0337 0.3592 0.09o0 26.3259

4.0C C.15C 0.0090 0. 7C7C C .C25C 0. 0518 0.6084 0. 1503 46. ooi

6.00 0.15C 0. n 90 0. 7C7C C .0250 0 . 0 6 j 7 0. '42 44 0.1976 61.9^42

3.00 C.15C C. 0090 0. 7G70 C.C250 0.0800 1.01P4 0 . 2 4u 6 ?6 . 68 J 7 10.00 C. 15C 0. 0090 0.7C7C C . C’50 0.0 923 1.1944 0.2510 90. G4c2

12.00 C . 1 5 C 0. 0090 0. 7C7l C.0250 u . 1038 1.3606 0.3196 10^ • 3110

2.00 0.15C 0. CO 90 0 . r 1 6 0 C.C250 0. 031t 0.4069 0-09o0 27. 1915

4. CO 0.1 5C 0. TO 90 0. ef e 0 O.C2 5:> 0. 0456 0 . 6o 8 9 0.1508 4 o • 4 3 V 6

6.00 C.15C 0- 0090 o.teco 0.C250 U. 0626 0.9354 i). 1976 62.79i2

8.00 C.150 0 . 0 T 9 .3 O.f d ^ C . C 2 5 0 0.075

1.1527 0.2406 7 / . 6 '9 3 5 10.00 0.15C C. CO 9 0 0 . E d t C (•.L?5 0 0.0365 1.3589 0.28i.0 9 i. j214

12.00 C.15C 0.0090 0 • 6 6 6 U 0.0250 U.0972 1.8432 0.3196 10 J. 7694

2.00 C . 1 5 C C. C090 0.9659 C.C250 0.0 30o 0 . 4 3 44 0.0960 Z7<,37^7

4. CO G.15C 0. TO-JQ 0. 9659 C .C250 0.0470 0.7373 0.1508 46 • 7 fO 1 6.00 C. 150 0. 00 )0 0 . 9 1 5 9 0. 0250 0. 0603 0.99P3 0. 1976 63.2083

a .Go ( . 1 5 C u. )0>0.9659 C . c ? 5 0 0 . 0 72 6 1 .2344 9 . 2 Ru 6 7c . ^ Ji 4

10.00 0. 15C 0.0) M 0 . 9 d 5 S r .0750 U . 0 it 1.4545 0. 2310 9 i . 9 4 < 3 12.00 C .1 5C 0 . 0 ) < 0 C. 9d 59 ( .(- ?5 j 0.0938 1 .06 14 0.3196 104 . 5 1 j 0

2.00 0.15C G. CC 90 0.9962 r.62'0 0.03U3 0 . 44 2 6 0* 09oC 27. 42a2

4.00 C.15C 0 . ) ) ) j 0.<f9d2 J 0.0468 C. 7807 0.1508 4o. j 77 3 6.00 C.15C G.T) 9C 0.9C(.^ C. G2 5') 0 . 0 5 ?9 1 .0189 0. 19/6 o3. 32a9

c.OO G . 1 5 C G . 10 >0 0. 9d 2 r . (. ? 5 0 0.071 . 1.2593 0.2406 7c, . 3 ) 1 0 . C j (-.15 C G. ) ) ^0 0 .‘•96 2 ( 0 . 0 o ^ 7 1 . 1 4 4 0.2310 9,. . i 0 12. CO G.l 50 G . 0 •) 9 0 0 . S 9 1 2 C .02 5.) 0. 09 JO 1.6917 6.3196 164 . 7vln

61

I
flow DU. HANN. SUPFLY r PAIN DRAIN Flow ENTRY normal PIPE L£'4GTn If L/S. K. caEFF SLCPf

(SIH)

SLOPE

ISJN)

ENTRY DEPTH

RATIO H/D.

ENERGY

N.

depth

H/0.

normal depth

L/D. i

i

2.00 iui50 0. 0090 0.2586 0.C167 0.0^60 0^1973 0.1093 28.3700

^.00 0.15C 0. 0090 C.25bfa 0.0167 0.0710 0.3303 0. 1725 98.0323

6.0U 0.150 C. 00^0 0.25fcb 0.C167 0.0919 0.9433 0.2269 o5. 5376

8*00 0.1 50 0.0090 0. 25£6 C.0167 0.1106 0.5951 0.2766 79.5699

10.00 0.150 0. 0090 0.25£6 C.bl57 0.1278 0.t>355 0.3290 93. 39o6

: 1 12.00 0.1 50 0. 03 VO 0.2568 C.0167 •v" 0.1939 0.7215 0.3699 106.0670

2.00 0.150 0.0090 O.5OC0 0. 01 67 0.0375 0.2919 0. 1093 29.9799

h

6

1)

^.00 0.150 0.0090 0.5CCC 0.C167 0.0577 0.9929 0. 1725 51. 3783

6.00 0. 15C 0. 00 VO 0.5 CCO r.Cl67 0.0799 0.6659 0.2269 69.3157

8.00 0.150 0. 0090 0.5CC 0 O.t 167 0.0899 0.O193 0.27o6 8 9.2 7 j 3 10.00 C.150 C. 0090 0.5C0C C.C167 0.1032 0.9606 0.3290 90.9729

10U 12.00 C.150 0.0090 0.5CCC 0.0167 O.lloC 1.0993 0. 3699 112.9399

2.00 0.15C 0.0090 0. 7C7C C.C167 0.0337 0.3592 0.1093 30. 699 8

2

<1

6

S

1(1

<t.00 0.150 0. 0090 0. 7C7C r.0167 0.0516 0.6069 0. 1 725 52. 5901

6.00 0.15C 0. 0090 0.7C7t C.C'167 0 . 0667 0.6299 0.22b9 7u • 90o9

8.00 C.l 5C C . 0 3 > 0 0.7C70 C.C167 O.O-iOO 1.0169 0.2 766 86 . 2*^0 7

10.00 0.15C 0. 00 )0 0.7C70 C.C167 0.0923 1. 1999 0.3290 101.33o7 . 12.00 0.15C 0. 0090 0.7C70 C.0167 0.1038 1.3606 0.3699 115.1521 [ 12

2.00 0.15C 0.0090 o.tctc C.0167 0. 0316 0.9069 0.1093 31. 00o9

2

K

6

3

^.00 0.15C C. 0090 0. 66 to C.C167 0.09flb 0.6889 0. 172 5 53.1905

6.00 C.150 0. OOJO O.fctt 0 C .0167 0.0626 0.9359 0.22o^ 71. 795 5 8.00 C.l 50 0.0090 0. 6660 C.0167 0.0751 1.1527 0. 2766 87.3285

10.00 C . 1 5 C 0. 0090 0.b(6C C.Cl 67 0 08o5 1.3589 0.3290 102.6199 0

in 12.00 0.15C 0. 0090 0. 666C 0.C167 0.0972 1.6982 0.3699 lio.5'99 9 j

lU

12

2.00 0.15C 0. 0090 0.9659 C.C167 0.03U6 0.9399 0.1093 31. 1856

^.00 0.1 5C 0.0090 0.S659 C.C167 0.0970 0.7373 0. 172 5 53 . 95o 7 6.00 0.150 0. 0090 0.9659 C. C167 0.0605 0.9988 0.2269 72.1826 \

1 8.00 C . 1 5 C 0. 0090 0.9659 0.G167 0.072b 1.2399 0.2766 87.0093 (; 10.00 0.150 0.0 0 90 0.9659 0. Cl 67 0.0836 1.9695 0.3290 103.2932 ,

j

|a 12.00 0.150 0. D 19 0 0. 96,59 C.C167 G.093b 1.0619 0.369 9 117.335= I!*

12.

2.00 0.15C 0. 00 90 0.9962 0.C167 0.0303 0.9926 0. 109 3 31.2395 'j ^.00 0.150 0. 00 90 0.9062 C.C167 0 • 09b5 0.75C7 0.172 5 53 . 5 3

2. 6.00 C.15C 0. 0090 0.9962 C.C167 0.0599 1.0189 0.2269 72. 2739

8.00 0.1 5C 0.0090 0.99< 2 C. CJ 67 0.071O 1.2593 0. 2 7o 6 8 o • 0 X vj o

III 10.00 C.150 0.0090 0.9962 C.0167 0 . 082 7 1.9699 0.32h0 103.92 JO ,

III 12. CU 0.15C 0.0090 0.99< c C.C167 C.C930 1.0917 0. 3 69 9 117.5299 j

I'l, h

^

62
Flow DIA. rrA.SN. SUPPLY CPAIN DRAIN FLOW ENTRY NORMAL PIPE LE.<G1

!l/s. COrFF SLl Pt

CSIM

SLuI’S

( SIN)

fNT-JY DEPTH

»ATIO H/D.

Energy

N,

oepth

H/0.

NORMAL Jc

L/J,

2«00 0,150 0. 0090 0.2566 0.C125 0.0460 0.1973 0.120 1 30. 3745

4. CO 0.15C 0.0090 0. 25te C.C125 0.071U 0.3303 0. 1901 52 • 72

6.00 0,150 o.oo?o 0. 2 5bt C.U25 0.0919 0.4433 0.2507 70.vS92 0

6.00 0.15C 0.00?0 0.25et C. tl25 0.1104 U.5451 0. 3064 66 , 1x4 5 10.00 0.150 0. 00 0.25tb C.C125 ^<0.1276 0.6355 0. 3596 100. <3511

12.00 0.150 0.0090 0.2566 O.C 125 0,1439 0.7215 0.4104 llj.32.0

2.00 0.15C 0.0090 0.5CGC 0.0125 0.0375 0.2919 0. 1201 32. 4492

4.00 C.150 0.00 JO 0.5CCC C.C125 0.0577 0.4924 0.190 1 55. 42 J9

6.00 C. 15C 0.0090 0.5CC0 0.0175 0-0744 0. 06 59 u . 2 5 0 7 74.blu5

e.oo 0.15C G. 00 JO 0. 5CCC C.0125 0. 03'^4 0.O193 0. 30o 4 9C.737d

10.00 C.15C C. 0090 0.5CC

C. tl“5 0. 1032 0 . 9o 0 6 0.3596 lOo. 334 3 12. Ou 0.150 0. 00 JO 0 . 5 CO U ( .U125 0.1160 1.U943 0. 4iu4 1 19. 02*^3

2.00 0 . 1 5 C 0. C090 0. 7C70 C.C125 0.0337 0. 3592 0.120 I 33. 12j3

4.00 C.150 0. 00 JO 0. 7070 0.0125 0.051o 0,6084 0. 19ul 5o. 5o >3

6.00 0.150 0. 0090 0. 7C7u C.G125 0 . 06o 7 0,0244 0,2507 7b. 1970-

6.00 C.15C C. 00 JO 0 , 7 0 7 0 0 . C 1 2 5 0,0500 1.0184 0. 3064 92 .7538

10.00 C . 1 5 C C. C.09 0 0.7C7C C.0125 0. 0 J.:3 1.1944 0.3596 106. 70b3

12.00 0.1 50 C . 0 0 J 0 0.7C70 0.0125 0.1038 1 . 3 6 0 o 0, 4 lu 12t . 3338

2.00 C.15C C. C090 0.6660 C.0125 0. 0316 0.4069 0. 1201 33. 4793

4 , 00 0.1 5C 0. 0090 0.6660 0.0125 0,04o6 0 , 6 0 3 9 0.19^ 1 57. 1957

6.00 C . 1 5 C 0. 0090 0.6660 C.Ol 25 0 . 06^6 0.9354 0.2507 76. 70o J 3 . Ou 0.15 C C.OOJ J 0 . 6 1.

0 C.U125 u . 0 75 1 1.1527 U . 30o 4 95 . 0 90 3 10.00 C.150 C. 0 090 0.6 6.60 C.C125 C . 0365 1 . 35 J- 9 0. 3596 107. 0 It 7 12.00 0.15C 0. 00 JO 0. 6660 0.C125 0.0972 1.5482 0.4134 61 , OC4 ^

2 . Ou 0.15C 0.0090 0.9659 C. 0125 0.0306 0.4344 0. 1201 3 3 . 65 >2

4.00 C.l 5C 0, lOJO 0. 9659 C . U 1 2 5 0 .0470 0.7373 0.190 1 5o . <i 5 3 2

6.00 r . 150 0.0090 0.‘-659 C. 01 25 0.C6U5 0.9985 0.25U7 75.0131

3.00 C . 1 5 C 0. 00 JO 0. 9J 59 C.L 125 0.0726 1.2 344 0 . 30o 4 97.4x25

10.00 C.150 0 . 0 0 J 0 0.9( 59 C . C 1 2 5 u . 0 -i 36 1.4545 0, 3 59o 1 0 6 » 4 I J 7 12.0C C.15C 0 . 0 0 J 9 0.9659 C.cl25 0.093d 1.6614 0 . 4 1 U 4 5 o . 14x4

2. CO C.15C C . 0 0 J 0 0.9962 O.C 125 0 .0303 0.4426 J.1201 33. 7-x53

4.00 C . 1 5 C C. OO JO 0.996/l 0.0125 0 , 04i> 5 0. 7507 0. I'Ju I 5 C . 5 J 7 2 6.0 0 C. 15C 0.00^0 0.9962 C.01’5 0.0599 1.0189 0. 25 0 7 75 .2 79/

>'•00 C . 1 5 C 0. 3 J ) 0 . 9<^-62 C . 0 1 2 > u . 0 7 1 0 1 .2593 0 . 3 0 o 4 , J t -J 1

1 0 . 0 U C . 1 5 C C . 0 0 J 0 0. 9 9t 2 (.0125 u . 032 7 1 • 40 *1 4 0 . 35 “to 104. / 5 w' 3 i: .0 j 0 . 1 5 C 0. 0 J9 ) U.9<-6 2 0 . c 1 2 5 0.093U 1.0917 0.41U4 5 t . 3 X / X

63
FLOW DU. rtANM. SUPPLY DRAIN DRAIN FLOW ENTRY NORMAL PIPE length T, L/S, COEFF SLOPE

ISIH)

SLOPE

ISIN)

ENTRY DEPTH

RATIO H/0.

ENERGY

n. depth

H/0.

NGKnAL oEPTH.'

L/0.

2.00 •«150 0.0120 0.256t 0.C5O0 0.0550 0.1413 0.0925 11.8666 ! 4.00 ^150 0. 0120 0.25^b 0.0500 0.0551 0.2350 0. 1449 20.11UO

j 6.00 O.lbO 0.0120 0.2568 0.C500 0.1104 0.3139 0. 1901 27.64c 5 j 8.00 0.150 0. 0120 0. 2566 O.C 5 OU 0.1332 0.3a33 0.2311 35.9967

10.00 0.150 0.0120 0.2566 0.0500 0.1544 0 . 44 54 0. 2693 4o • 0662

12.00 C.l 50 0.0120 0.2566 0.0‘>00 0.1742 0.5039 0.3064 45. 123 7

2.00 C.150 0.0120 0.5;CL C.C500 0. 044o 0.2071 0- 092 5 13.2442 I 4.00 0.150 0.0120 0.5COC 0.C5OQ 0.0692 0.3472 0.1449 22.4141 1 6.00 C.15C 0.0120 0.50C0 0.0500 0. 0894 0.4667 0. 1901 30. 77o5

8.00 0.150 0.0120 0.500C 0.0500 0.1073 0.3739 0.231 1 3/.57?i , 10. 00 0.150 0.0120 0.5 CfC C.Q^'OO 0. 1244 0.bb93 0 • 2690 44 .624^

12 .00 0.150 C.0120 0.50C6 C.0500 C.1400 0.7605 0. 3064 5 0 • 3 0 a 3

2.00 0.15C 0. 0120 0.7C70 C.C5CC 0.0403 0.2546 0.0925 13.7761

4.00 0.150 0.0120 0. 7070 0.C500 0.0620 0.4290 0. 1449 23. 3326

6.00 C.15C C.0120 0.7C70 C.0500 0. 0300 0.3781 0. 1901 3 4. . 0 1 a 6

0.00 C.15C 0.012 0 0. 7C7u C.0500 0.0963 0.7099 0.2311 39.3>^42

10. 00 0.15C 0. 0120 0.7C7C C.0500 0 • 1 1 i 0 0.O334 0.2695 46 . 4a2

12.00 0.1 5C 0.0120 0. 7070 C.C500 0.1251 0.944a 0 . 30o4 52 • 3o3 5

2.00 C.15C 0. 0120 0.6t6C C.0500 0.0376 0.2873 0. 0925 14.0445

4.00 0.150 0. 012 0 0. 6660 0.0500 0. 056

0.4853 0. 144 9 23, 7953

6.00 C.15C 0.0120 o.etcc 0. 05 00 0.0751 0.6533 0. 1901 32.6333

8,00 0.150 0. 0120 0. 6660 C.C500 0. 09Ji 0.6064 0.2314u . 1649

10.00 0.150 0. 0120 o.et. : 0.C500 0.1041 0.9453 0.2698 47.3052

12.00 0.150 0. 0120 0. 8660 C.0500 0.117U 1.0765 0.3064 53.4451 '

1

2.00 0.15C C.0120 0.965S 0.C500 0.03o5 0.3073 0. 0925 l4. 1313

4.00 0.1 50 0.0120 0.<;659 0.0500 ’ 0.0562 0 . 5 1 rt 6 0. 1449 24. 02o3

6.00 C.15C 0. 0120 0.9659 C.0500 C . 0 72 0 0.6991 0.1901 3^ . 94 »1

8.00 0.1 50 0. 012 0 0.9t59 C.O500 0.067 i 0.6625 0.2311 40.5719

10.00 0.150 0. 0120 0.9659 0. 05 00 0.1004 1.0136 0.2698 4 7.63^.3

12.00 0.150 0.0120 0. 9659 0.C500 0 . 1130 1.1526 0.3064 53.9725 ; 1

2.00 0.150 0.C120 0.9962 0.C500 0.0362 0.3123 0.0925 14.2135

4.00 0.150 0.0120 0.9962 0.0500 0.053 7 0.5277 0.l4*i9 24.0534 i 6.00 0.150 0.0120 0.9962 C.0500 0. 071a 0.7131 0. 190 1 33.03^3

8.00 0.150 0.0120 0.9962 C.0500 0 . 0bo2 0.6792 0.2311 40.67/2 1^

10.00 C.15C C.0120 0.9962 C.C500 0.09^4 1.0333 0. Zb'y 8 47.9610 9

12.00 C.150 C.0120 0.9962 0.C500 0.1119 1.1751 0. 306 4 51.116 3 ||'

64
FLHW OIA. HA'IN. SJFPLY AIM CkAIN FLOW ENTRY NURNAL PI Pc LiNO

L/S, . P. COcFF SLOPE

(SIN)

SLOPE

(SIN)

e«Ti4Y oEPTn

KAl H/C. , energy

N.

^ depth

H/0.

normal 0=

L/0.

2.00 4).16C 0. C120 0.2888 0. 0250 0.0550 0.1A13 0. 1155 15. 7023

^.00 C.l 5C 0.0120 0.28tb C.C250 0.0831 0.2350 0.1825 26. 7A65

6.00 C. Ibo 0.0120 0. 28 bo C.C250 0. IlOA 0.J139 0.2A06 3 6 . 1 <j 8.00 O.lbC 0.0120 0. 28bc C.C28';> 0 . 1 3 J 2 0.3633 0.29A2 A9. 888A

10. 00 C . 1 6 C 0. 0120 0.02 so 0. 15AA 0.AA5A 0 • 3A^ 5 5 1 • A9<t 0

12.00 0.180 0. D120 0.28bb C.0250 U. 17A2 0.8039 0.39J3 5o • 5ou A

2.00 C. 18C 0. C120 0.5CO0 O.oZSO 0. OAAb 0.2071 0.1185 l6. 913?

^,00 0.18C 0.0120 0.8CC0 C .C?50 0.0692 0.3A72 0. 1325 2c. 69 3 8

6,00 C . 1 8 C b.0120 0.8Cr 0 C.C25G U. 089A 0 . A6 67 0. 2AJ6 3o . d I i 3 6.00 O.i 80 C.0120 C.8CCb C .L 2'-? 0.1078 C.8739 0. 2 9A2 A? . b 76 5 10. 00 0.18C 0. 012 0 0.8 COo ( . 02 80 f . 1 2A

0.6693 0. 3a9 8 86. 3909

12.00 C .180 0. n2 .. 0. 8 cot C- . 0 2 "^0 O.IAOO 0.7608 0. 393 3 62 . -»96 3

2.00 C.18C C. C120 0.7C70 C.0250 0. 0AO3 0.28A6 0.1185 17. A0c9

^.00 C . 1 8 0 0. U20 0. 7070 O.C28.i 0.0620 0.A29U 0.1828 29. 832

6.CC C . 1 8 0 C.0120 0 . 7 C 7 0 C.C2 so 0. 0600 0.6781 0. 2Au6 3v. 9o 07

8.00 C . 1 8 C 0.0120 0. 7070 0.C28U 0.0963 0.70^9 0. 29A2 A9 . 26-» A 1C. GO C . 1 8 C 0. 012

0.7C70 f . c2 8 0 O.lliC 0. o33A 0. 3 A'f 8 5 7 . Oo 6 3

1 2.0'J 0.1 80 0.0120 0. 7070 C.O 280 0.1281 0.9AA3 0.393 3 6

. 3936

1 2.00 C.15C 0. C120 0,btbL C.C280 0.0376 0.2673 0.1155 17.65A

1 ^.00 C.180 0 . nzo 0 • t.t.tO C .0280 0.05 )1 0 . A 6 5 3 0. 1 j25 2 . 9 Cl o i 6.00 C .180 0. ?120 Q.ttLQ C.0280 0.0781 0.6833 0

2 A 06 AO . 8A2 0

8.00 C.18C C. 012 j til C.0280 0 . 0 9 0

0 . w G t A 0.29A2 8 o . J 1 A o 10. CC 0.18C 0. 012 0 0 . b 1 1 b C .0280 O.IOaI 0.'^A83 0. 3AA6 87.9863

i. 2 . 0 0 C . 1 8 C 0. 0120 0. 8600 C.0280 0.1170 1. 3768 0. 39J 3 63.9167

, 2 .ro 1 0 . 1 8 C 0.0120 0.*/^ 8<^ C.0280 0.0368 0.3C73 0.1165 17. ?3a3

^.00 C.180 0.0120 0. 8V C .0280 0.0562 0.8188 0. 1628 3 0 . 1 6 6 6

6.00 0.18 0 0. 0120 0. 9ttS C , C2 80 C. 072c 0.6991 0.2A06 AG. dA3 ^ 8 .CO C . 1 8 C 0. 31 2

0. A<.89 r.02-0 0 . Ob ^

1 0.3628 0 . 2 9A 2 8t . 3060

10.00 0.180 0. 012U o.ottv C. v280 0. lOc- I .01 38 0. 3AA 6 6c . A J / 9

12.00 0.180 0. 0120 0. At 89 0 . c 2 8 0 0 . 1 1 3 o 1.1826 0. 3 93 3 6o. *• 2. A

2.00 0.18C 0 . C 1 2 0 0.09(2 r.c2sc • O.03t< 0.3123 0.1188 17. .160

' A. 00 C.180 0.0120 0. <-<;< 2 f .0?‘’0 0.086 7 0.62 77 0. 132 5 3 u * 2 A 'j J 6.0 0 C.180 C. ) 120 0.S9t2 ( .02*^0 0. 07ib 0. 7131 0.2Ao6 A u • 9 2 > o •'.Of 0.1 8C 0. 0120 n. •-<;( z r.c?8o C . 0162 0. >792 0.29A2 6 f . A . ^ >

I > • 0 u C . 1 8 C C. *12 J 3.99( 2 ( . (.21'f f . C 9 A 1. J333 0 . j A A 8 8 • 6 J J 7 0.180 0.0120 0.9A< ^ C .1280 0.1ii9 1.1781 0.39^3 6 o . 6 6 -> J

TH Tt

P TH,
FLOW

L/S.

2.00

A.OO

6.00

0.00

10.00

12.00

2.00

^.00

6. CO

8.00

10.00

12.00

2.00

4.00

6.00

8.00

10.00

12.00

2.00

4.00

6. CO

8.00

10.00

12.00

2.00

4.00

6.00

d.OO

10.00

12.00

2.00

4.00

6.00

8.00

10.00

12.00

OlA. HANN. SUPPLT DRAIN

. P. COEFF SLOPE SLOPE

<SIN) (SIN)

DRAIN FLOW ENTRY NORMAL

ENTRY DEPTH ENERGY • DEPTH

RATIO N/D. . n. H/0.

PIPE LENGTH T.

NORnAL DEPTH.

0.15C 0.0120 0.2568 C.0125 0.0550 0.1413 0.1449 10.0761

0.1t>C 0. 012 0 0.25fcb 0.C125 0.0351 0.2350 0.2311 30.4916

O.lbC 0.0120 0.2568 C.G125 0.1104 0.3139 0. 3064 40.2261

C .150 0. 'UZO 0.256b C.C125 0.1332 0.3833 U.37o7 48.6052

0.150 0. 0120 0.256E C.C125 0. 1544 0.4454 0.4436 55. 6009

C.150 0.0120 0.256c 0.0125 0. 17<»2 0.5039 0.50o3 61 • o54 d

0.150 0.0120 0.50CC C.Ol 25 0.0448 0.2071 0. 1449 19. lo21

0.150 0. 0120 0. 5CC0 C.C125 0.0692 0.3472 0.231 1 32.3654

0. 150 0. 3120 0.5 COO C.C125 0 .0894 0 ,4667 0. 3064 42 . 7 344

C.l 5C 0. 0120 0,5 COO 0.0125 0.1075 0.6739 0.37b7 51.804 5 0.15C 0.0120 0.5CCC C.0125 0.1244 0.O693 0. 4436 59. 39^7

0,150 0. 012 0 C.50C0 C.0125 0.1400 0.7o05 0.503 3 66.002

C.150 0.0120 0.7C7C 0.C125 C. 0403 0.2546 0. 1449 19. 642 5

0.150 0.0120 0. 7C7C C.0125 0,0 62 0 0.4290 0.2311 33,1877

C.15C 0. 012 C 0.7C7C 0. C125 o.Odoo 0.5781 0. 30o4 43.9280

0.15C 0.012 0 0. 7070 0.0125 0.0963 0.7099 0,3767 5j .2092

C . 1 5 C 0. 0120 0 . 7 C 0 C .0125 0.1110 . 0.6334 J. 44 3-0 60. 8586

0.150 0. 112 0 0.7070 C.0125 0.1251 0.9448 0.50o 3 67.5716

0,150 0. C120 0.8660 C.C125 0. 0378 0.2873 0.1449 19.6956

C.15C C . 0 1 3 0 0 . 66ec C.C125 0.0581 0.4653 0.2311 39.1313

0.150 0-0120 0 • 6c6C 0.0125 0. 0751 0,6533 0.3064 46.0365

0.15C 0.1120 0.8660 C.1125 0.0901 0 . o064 0.376 7 51.0990

C.15C a 9 o o 0.6660 C.0125 0 .104

0.9453 0. 4436 60. 1597

C . 1 5 0 0. G120 0. 6 6o0 C.0125 0.1170 1.0765 0. 50c 3 67.761

0. 15C 0.0120 0.9659 C.C125 0 . 0 3

6'5 0.3073 0. 1449 20.0315

C.150 0.0120 0. 9659 f . C125 0 • 0562 0.510b 0. 231 1 104. 5623

0.15C 0.0120 0.9659 0. C125 0 . 0 7 2' 6 0.6991 0. 3064 45.9498

0.150 0. 0120 0.9659 C.U126 0.0871 0.8625 0.3767 49, 70o 3 C.150 0. 0120 0.9659 0.C125 0, 1004 1,0138 0.4436 59.7884

0.15C 0.0120 0.9659 0.0125 0 .1130 1.1520 0.50o3 6 7. o 3 76

0.15C 0. Cl 20 0.9962 C.0125 0.0362 0.3123 0.1449 20.1161

0,150 0.0120 0.9962 C .0125 U.055 7 0.5277 0,2311 , 12U.9570

C.15C 0. 0120 0.9962 C.C125 0. 0718 0.7131 0. 30 64 46.21^4

C.150 0.1120 0.996.^ C.C125 0 . 0862 0.8792 0.3 76 7 49.3137

C.150 0.0120 0.9962 C. 0125 0.0994 1.0333 0. 44 36 5 9 . 6 8 j 3 0.150 0. 112 0 0.9962 0.0125 0.1119 1.1751 U.50o 3 6 7 • 8 5 V 6

2

! li

: 6

I 12

2V

6:

8 ,

10 ,

12 ,

: 2

6

8

10

12

8.1

k,l

66
If LOW cu. flANN. SUPPLY rPAiN OkAiN FLOW EriTRY NORMAL PIPE LEiCTH Tl

L/S. cjeff SLCPt SLOPE ENr»iY JEPTH energy depth NOknAL jcPTH.

' CSIN) (SIN) RATIO rt/D. N. H/D. L/D.

2.00 ••150 0.0120 0.2 5bO 0.C167 U.0550 O.iA 13 0.1320 17.7316

A.OO e«i5o 0. 0120 0.25bb C.C1A7 0.0551 0.2350 0. 209A 29. 7515

6.00 0.150 0.0120 0 . .. 56b C.L157 G.ilOA 0.3139 0.2 7 66 3 9 . 3 3 6 6.00 C.15C C. 0120 0.25fct C.0167 0.1332 0.3233 0.339 1 A7. 3^73

i.0.00 0.150 0. 0120 0.25fcb 0.0157 0 . 1 5 A A 0.AA5A 0. 3937 53. 6A3l

12.00 0.150 0. 012 0 0.2566 C.C167 0.17A2 0.5039 * 0.A556 62 • 0 5A >

2.00 0.150 0.0120 0.5CCO C.C167 0 . 0 AAo 0.20 71 0.1320 lo. aip6

A. 00 0.150 C. 0120 0.5C0C C . C 1 57 0.0692 0.3A72 0.2 09 A 31.6235

6. CO 0.15C 0. 0120 0.5C0C C. C157 0. 009A 0.A667 0.2766 Ai.9321

6 . OG C.15C 0.0120 0.5 tot C.C157 0.1075 0.573« 0.3391 5 i . j 96 9

10.00 C. 150 C.0120 0.5 cot C. C157 0. 1 2A0.6693 0. 39o7 59.33x9

12.00 C.15C 0.0120 0.5CGC C.0167 0. lAOO 0.7605 0 • A66 8 6c. 390 7

2.00 0.150 0.0120 0.7C7C 0.tl57 0.0A03 0 .2 5 A6 0. 1320 19. 2 -.6 5

A. 00 C.l 50 0.0120 0. 7C7t 0.01^7 0.0620 0.A290 0.209A 32. AAA6

6.00 0.150 0. 0120 0.7C7O C.C157 U . 0 i G 0 0.5761 0 . 2766 A3. 0Od9

8.00 C . X 5 C 0.0120 0.707t C.G167 G.09o3 0.7099 0.3391 52 • A 9v> 3

10.00 0.150 0.0120 0.7C70 0.C157 G.lliO 0.633a 0.3967 6 i . 0 1 3 3 12. OC 0.150 0.0120 0.707C C.C167 0.1251 0.9AA8 0. A 5 3 o 6C.29-J3

2.00 0.15C 0.0120 0 .6660 C.C167 0.0376 0.2873 0.1320 19.3 JO 3

A. 00 0.15C 0.0L20 0.6660 t .C167 0.0561 O.Ac53 0. 209 A 32. 8 7a

6.00 C.15C 0. C120 O.bttt C. C167 0.0751 0.6533 0 . 2 7 o 6 a 3. 63 uO

8.00 C.l 5C C. U20 O. fcf - . C.C167 0.09U1 0.6C6A 0. 339 1 56.2^22

10.00 C.150 0.0120 0.6660 C. C167 O. lOAl 0 . 9A 5 3 0. 3 9 0 7 6 1 . 3 c. 6 12.00 C.15C C. 0120 0. 6660 c.0167 u. 1170 1.u765 0 . A33 8 69. 33x2

. ' V > 25C 0.C120 0.«659 C.L167 0.0365 0.3073 0. 132 0 1 9 . 6 *• d

A. 00 0.15C 0.0120 0.9r59 C.C167 0 • 05 o2 0.51P8 0.209a 3 3 . 0 9 J i 6.00 C . 1 5 C 0. 0120 O.S659 0.0167 0. 0 72o 0.699

0.2766 A j . 9 3 A 0

h . 00 1' . 1 5 0 V. :l 2 'J U. 9659 C . 1 1 67 U . 0 6 / 1 0 . 0 62 5 0.3 3-1 5 J . 1 3 0

10. CO C . 1 5

0.0120 O.vc 59 {.0167 U. 1 JOA 1.0133 0.39,7 62. 3 7aO

1 2 . 0 0 C.l 50 0. 0120 0. 9659 C .116 7 U .1130 1.152r 0 • A 5j 6 7 u . j i 7 L

2.00 C.15C 0. Cl 2 0 0.9962 C.C167 0 . 0362 0.3123 0. 1320 l9 • t > J 3 A. 00 0.150 0. 1120 0.9962 C.C167 C. 0557 0.32'

0.2 09 A 3 J . 1-i 7 3 6.00 t.l5t 0.0120 0.99t^ C . 6167 0 • C 7 1 o 0.7131 U. 2 7o 6 A A . t'A i 9

n.oc C .150 0. 112 0 0.9962 ( .0167 0 .

' 6 2 0 .w ; 92 0.33/1 3 J. 7. . J 10.00 f .150 0. 112 0 0.99t 2 C. C167 0. C y9A 1.0333 0. 39c 7 tJ 9 . 1 X f J 12.00 0.1 50 C. 1120 0.Cl/>7 0.1119 1.1751 0 . A 33 d 7 i . 5 J J J

67
FLOW DIA. KAN.S« SUPPLt OFAIN DRAIN FLOW Entry NORMAL PIPE LcNCTH T

L/S, COEFf SLCPE SLOPE ENTRY DEPTH ENERGY • DEPTH normal DEPTH.

(SIN) (SIN) RATIO H/0. • rt. H/0. L/0.

2.00 0",150 0. 0150 0.2566 C.C500 0. 0633 0.1100 0. 1068 8.6502

4,00 0.1 5C 0.0150 0.2586 0.C500 C.09d2 0.1618 0. 166 1 14.6263

6.00 0.15C C.0150 0.25td C.0500 0.1278 0.2411 0.2211 19.7675

8.00 0.15C 0.0150 0.2588 C .C300 0. 1 54 4 0.2934 0.2698 24,4134

10.00 0.160 0.0150 0.2566 C.L'5 00 0.1791 0. 3408 0. 3157 2 0.5509

12.00 0.150 0.0150 0.2566 C.0500 0.2025 0.3839 0.3596 3^.2764

2.00 C.150 0.0150 0.5CC0 C.0500 0.C515 0.1597 0.1068 9.6042

^.00 C.l 50 0.0150 0.5CC0 C.C500 0.0797 0.2b59 0. 160 1 16.2471

6.00 0.150 0.0150 0.5CCG C.0500 0. 1032 0.3557 0.2211 21.9764

6.0u C.l 5C 0.0150 0.5Co0 C.C500 0.1244 0.4351 0.2698 27. 1330

10.00 0.15C 0.0150 0.5 CCC C.C500 0. 1439 0.J076 0.31o7 31.7370

12.00 0.1 50 0. 0130 0.5 COO C. C500 0.1o22 0.5752 0.3596 35.9110

2.00 C.15C 0.0150 0.7C7C C.0500 0.0462 0.1953 0. 1068 9.9902

4.00 0.1 5C 0.0150 0.7C7C C.0500 0.0714 0.3271 0.1661 16.9140

6.00 0.150 0.0150 0.7C7C C.0500 0.09i3 0.4389 0.221

22.8607

8.00 0.1 5C 0.0150 0.7070 C.C500 C . 1 1 1 0 0.5394 0.2696 2o.2656

10.00 C.15C 0.0150 0.7C7C C.05'j0 0. 1203 0.O309 0.3157 33.0702

12.00 C.150 0. 0150 0.7C70 C .05 00 0.1447 0.7146 . 0.3596 3 7 • 4 1 o 0 1

1

2.00 C.15C C. 0150 0 . etec C.C500 0.0434 0.2201 0.1068 10.1663

4.00 0.15C 0.0150 0. flCtC C.C500 0 . 0 b 7 0 0.3b94 0.1661 17.2543 . 6.00 0.150 C.0150 0.6660 0.C500 G • 0ob5 0.i975 0.221 1 23.3529

8.00 0.150 0. 0150 0 » fc 6 1

C.C50G 0.1041 0.610b 0.2 69 8 2 6 . 5 3 7 o 10.00 C.150 0.0150 O.tbtO C. o500 0. 1202 0.7151 0. 3157 33.7465

12.00 C.150 0.0150 0. 866C C.0500 U.1354 0.C114 0. 3596 36 • 1

« o o C.15C 0.0150 0.<it55 C.C^QC C . 0420 0.2350 0. lObS

1 10. 2694

4 .Co C.15C U. 0150 0. 59 C.0500 J • 0646 0.3953 0.166 1 17.4390

6.00 C.15C 0. 0150 0.9659 C.05'J0 0 . 0 '3 3 6 0.5317 0.221 1 23.5653

8.00 O.i 5C 0.0150 J. 9b59 c.csno 0. 1004 0.O542 0. 269 b 29. 1343 i { 10.00 0.150 0.0150 0.9659 c.csoo 0 . 1 1 bO 0.7652 0. 3157 34.0603

12.00 C.150 0.0150 0.965s c.0500 0 . 1 3 J 7 0. o67o 0.3596 3o.5?63 10

2.00 0.150 0.0150 0.9962 C.CSOO O.0415 0.2397 0. 10o8 10. 3 lo3

4.00 0.1 5C C.0150 0.9962 C.0500 0. 0640 0.4026 0.166 1 1 7 . 4 7 o 6 ? 6.00 C.15C 0. 0150 0.9962 0. 0500 0.0427 0.6423 0.221

23.6525 ^ 8.00 O.i 50 0.0150 0. 9962 r .l,5oo 0. 0994 0 . 666 7 0.2696 29.21^3 6 10.00 C.15C 0.0150 C.C500 C.l 143 0.7811 0.3157 34. 1C63 f 12.00 0.1 50 O.OlsO 0.9962 C.CSOO 0.12^3 0.6869 vJ. 359 6 3o.o9>3 10

68
FLOW DIA. MA^N. SUPPLY CPAIS drain FLLH ENTRY NURHAL

L/S. P.. COFFF SLCPt SLlPF Entry DEPTH ENERGY DEPTH

(Sir) (SIN) RAT lU rt/D. n. H/0.

PIPc LEflviTrl

normal i^cPTrl

L/0.

Z*00 0.0150 0.2586 C.C2 50 0.0633 0.1100 0. 1337 10.7377

<1.00 C.15C 0.01 jD 0.2566 C.C250 0.09o2 0.1815 0. 2123 l6 .06;^ 7

6.00 O.ISO 0.0150 0.2566 C.C250 0.1276 O.tAll 0.2610 25.15^2

b • 00 0.1 SC O.OI.JO 0 . 2 5 e ft C.oZSO 0 . 1 5^ <1 0.^93<» 0. 3A55 29 . 2 Ui. 3

10.00 r.isc 0.0150 0 .2566 C. 02 50 . 0.1791 0. JA0 3 0. A050 33. 75^ 7 12.00 o.iso 0, Ol^O 0.2566 C.C250 0.2025 0. J839 0.^63 1 37.5657

2.00 c.iso 0.0150 0.5C0L C.C250 0.0515 0.1597 0.1337 11.5561

^.00 o.iso 0.0150 0.5CCC.0250 0.0797 0.2659 0.2123 19, 56

6 . 0 C O.lbC C. 0150 0.5C00 C.C250 0. 1032 0.3557 0.2310 2o. 06 19

6.00 C.lSC 0.0150 0.5CCO C .C?50 0.124^ 0.<i351 0. 3<*<i5 31. 5dl2

10.00 C.ISC 0.0150 0.5( CC C .0250 0. IA39 0.6076 0.503 0 3o. 55J6

12.00 r.isc 0.0150 0.5CCC 0 .0250 U.1622 0.5752 0 . Ao3

<iO. 779

2.00 C.150 0.0150 0.7C70 f . 02 50 0. OA 62 0.1953 0. 1337 11.9190

5.00 0.1 SC 0.0130 0.7070 c.c:^o 0.0719 0.3271 0.2123 2c . 3 90 5

6.00 C.15C 0.0150 0.7070 C .l2 50 0.0923 0.9369 0. 2oi

26.9079

8.00 0.15C 0.0133 0.7C7t 0.C250 U . 1 1 1

0.3399 0. 3995 32.3975

10.00 0.15C 0. 3150 0.7C7G C.C2 50 U. 1263 0.6309 3.9050 3 7 • 6 !*« 6

12.00 f .150 0.3150 0. 7C7C C.C250 0.1997 0.7196 0.9631 92 . 21 Jo

2.00 0.150 0.0150 O.eOfcC 0.0250 0. 0939 0.2201 0. 1337 12.1030

5.00 0.150 0.0150 0. oe CO C.C25C 0.0670 • 0.3699 0.212 3 20.9161

6.00 C.15C 0.3150 o.etto C.C250 0. 06t>5 0.^975 U.2310 27.3019

8. CO 0.150 0.3150 0 . r c 1

r.C25U 0.1091 .0 .o 1 Oo 0 . 3h9 5 33.2019

10.00 0.15C 0.0150 o.tcto C. 0250 0. 1202 0.7151 0.9030 3o. 97 j9

12.00 0.15C 0.0150 O.fcCtC r.C250 0.1359 0.O119 0.963 1 9<i . 969 0

2.00 C. ISC C.0150 0.9C59 0.02 so 0. 0920 0.2350 0. 1337 12. 20.O

5.00 C.15C 0.0150 C.St59 c.c:so 0. 0696 0.3953 0. 212 3 2 2. 5 ''y o 3

6.00 0.150 C. 0150 0.9< 59 0.C250 0. 0336 0.5317 0.2310 27.5-72

6.00 0.1 5C 0.3130 0. 9t 59 c.0250 0.1009 0.6592 0.3995 33. 9 ^2 1 10.00 0.15C 0. :i30 0.9C59 f .c250 o. llcO 0.7652 0.9050 3 o . - 0 3 9

12.00 C.15C 0. 3150 C.9e59 C .0250 0. 1307 0.O678 0.9631 93 . 3 9 jo

2.00 0.15C 0.0150 0.99r

r.0250 0.0915 0.2397 0* 1337 14.22 yo

*’

I 5.00 C.iSC 0.0153 0.99C2 0 . C 2 30 t . 069 0 0.9026 0.212 3 2 0 • 6 3 ; o

, 6.00 C.15C 0.0150 n.99C2 f .c25o 0.0827 0.5923 0 • 2 c 1

27.0323

I 5.0J ( .Ate 0.3133 0. 996^ C .0250 wf . 0 3^9 O.oC 6 7 0. 59^3 33 . > (.'* 3 V 1 0 . 0 0 0.15C C .3150 0,0250 U. 1190 0. 7o 1

0. 9U3 0 3 o . 7 j - y

1 12.0C C.l 50 0. 3130 0.990^: C.U250 U. 1293 0.0669 J , 96 J 1 9 J . 9 oo 9

69
flow DU . HANS, SUPPLY CPAIN DRAIN FLOW ENTRY NORHA L piPt length

L/S. H, COEFF SLOPE SLOPE ENTRY DEPTH ENERGY depth NORMAL DEPT

(SIH2 C5IN) RATIO H/D. n. H/D, L/D.

2,00 0,13C 0.C150 0,25bo 0.C167 0,0633 0,1100 0.1527 11.0444

4.00 0.150 0.0150 0.25et 0.0167 0,09o2 0.1618 0.2438 10.3513

6.00 C.15G 0.0130 0,25efc C.0167 0,127b 0.2411 0,3240 24.0626

8,00 0.15C 0,0130 0.258t C.0167 0.1544 0.2934 0. 396 7 2fa. 7163

10. CO C . 1 5 0 0,0130 0 .2 5 fc6 0.0167 0.1 7vl 0.3406 0.4700 32. 501

12.00 C . 1 5 C 0.1150 0, 2 5Eu C.i-167 0.2025 0.3339 0.5 36 6 35. 4602

2,00 C .150 0.0130 0.5000 0.0167 0.0515 0.1597 0.1527 11.8447

4.00 C .150 0.0130 0.5CC0 0.0167 0.0747 0.2659 0.2438 19.7273

6.00 C. 15C C. 0150 0.5000 G.0167 0.1032 0.3557 0.3240 25.9749

e. 00 C.l 50 0.0150 0.5CG0 C.C167 0.1244 0.4351 0. 39o7 31. C7i3

10.00 C . 1 5 0 C. 0150 0.500C 0.0167 U. 1439 0.5076 0.4700 35.2315

12.00 C.15C O.IIjO 0.5C0O C .0167 0. 1522 0.5752 0. 5 36 6 30.6815

0.15^7 12.2030

0.2^38 2C.35iJ ; 0.3240 2b,6doO i 0,3967 32.1464 t 0.47j0 36.5600 c 0,3366 40,1363 K

1 ! 2.00 C.l 5C C.0130 o.ttoc C.0167 0.0434 0.2201 0,1527 12. 3939

4.00 0.1 50 0. r»i30 0.8660 0.0167 0.0670 0.3694 0.2436 20.6610

6.00 0.150 0.0130 0.6660 C . 0167 0.0865 0.4975 0.3240 27.2899

8. CO 0.150 0.0150 0.6660 0. C167 0.1041 O.OlOo 0. 39o7 32.7123

10.00 0.150 0.0130 0.666C C.0167 0.1202 0.7151 0.4700 37.23u i 12.00 C.l 50 0. Ol^O 0. 666C C.C167 0.1354 0.6114 0.5366 40.9677

2.00 C.15C 0.0130 0.9C59 C.0157 0.04.''0 0.2350 0.152 7 12. 4929

4. CO C . 150 0. 0130 0.9659 C.C167 0.064b 0,3953 .0.2436 20, 8t>47

6.00 C . 1 5 0 0.0130 0.9659 C. Clb7 C . 0336 0.3317 0.3240 Z7

8 . Ou C . 1 5 C 0.0130 0,9659 C .016/ 0.1004 0.6342 0. 39o 7 33. 2 4 1» o 10.00 0,150 0.0150 0.9659 C.0167 0. libu 0.7652 0.47u0 3 X • 369 0

12.00 C,15C 0. 0150 0.9659 C.C167 0. 13a7 0.0673 0 . 5 3r> 6

0 41. 603^

2.00 0.15C 0.0 130 0.9962 C.0167 0.0415 0.2397 0.1527 12. 5216

4 . CO 0,150 0. 0150 0.9962 C.C167 0. 0o40 O.'tOZb 0.2436 20.9003

6.00 0,150 0.0150 0.9962 C.0167 0.0327 0.3423 0.324C 27. 567 / 8.00 0,150 O.'013O 0.9962 C.0167 0.09w4 0.0667 0.39o7 33. 331.5

10.00 0 . 1 5 C 0.0130 0.9962 0.0167 0.1143 0.7611 0.4700 2c. 9021

12.00 0.15C C. 0160 0. 996t 0.0167 0.1293 0.6669 0.5366 4 1. C L' t 8

2.00 0.15C C.0150 0.7C7C C.0167 0. 0462 0.1953

4.00 C.150 0.3130 3.7070 C.C167 0.0714 0.3271

6.0U C.15C 0. C130 0.7C70 C.C167 0.0923 0.4389

8.00 C.150 0.3150 0.7070 C.C167 0.1110 0.5394

10.00 C.150 0 . 315 0 0.7C7C C.Ol 67 0. 1263 0.o309

12.00 0.150 0.0130 0.7C70 0.0167 0.1447 0.7146

70
FLOW cu. MANN. SUPPLY claim DRAIN FLOW ENTRY NORMAL PIPc LlnGTH T L/S. H. COSFF SLOPE SLLPF fcNTRr DEPTH Energy OEPTH NORMAL OEPTri.

f SIN) (SIM) RATIO H/0. n. H/0.

m

L/0.

2.00 O.ISO 0. 0150 0.258b C.0125 0.0633 0.1100 0« 166

10. 30a2

^.00 O.ltc 0, 0150 0.258b 0.C125 0.00«2 0.1b lb 0.269 9 16 • 945 5

6.00 C.ISC 0.0150 0.25CO C . C 1 2 5 0. 1276 0.2411 0.3596 2 1 • 6 3 'J 4

3. 00 0.150 0.0150 0. 2 5t

0.0125 0. 15^5 0.2934 0.4436 24. -:^ 77 I 10.00 C. 150 0.01^0 0.25bo C.C175 0.1791 0 . 3 4 0 •> 0.5239 27.5:?34

12.00 C.l 50 0.0150 0.25fe6 0.0125 0.2025 0.3839 0.6021 36. 1773

2.00 0.150 C.0150 0.5000 0.C125 0.0515 0.1597 0.166 1 11.1153

-^.00 0.15C 0. 0150 0.5CCO 0.0125 0.0797 0.2659 0.2698 16 » 33o9

0.00 0.150 C . 0 1 5 G 0.5C0O 0.O125 0.1032 0.3557 0. 3596 23 . 600o

t . 00 C.l 5C C.0150 C.5C0C 0.C125 0.1245 0.4351 0.4436 27. 3470

10.00 C.15C 0.0150 0.5CC0 0.C125 0. 1439 0.5076 0. 5239 30 • 3o22

12.00 0.1 5C 0. 0150 0.5CC0 0.0125 0. le>22 0.5752 0.6021 3£.« 65o2

2.0C C.15C 0.0150 0.7C70 C.C125 0.0462 0.1953 0. 1661 11.4620

4.00 0.1 5C 0.3150 C.7C7C 0.C125 0.0714 0.3271 0.269b 10.9751

6.00 0.15 0 0.0150 0.7C7C C.C125 0.0923 0.4369 0. 3596 24 . 47d

a .00 C.l 5C 6.1150 0. 7070 C.0125 U. 1110 0.j394 0.4436 2b. 4426

10.00 C.150 C.0150 0. 7070 0.0125 0. 1263 0.630 -i 0.5239 3x. 6635

12.00 C.150 0.3150 0.7C70 C.0125 0.1447 0.7146 0.602 1 33.94x7

2.00 0.150 0.0150 o.ceto C.C125 0.0434 0.2201 0 . 1 6 c 1 11. 67o2

4.00 C .1 5C 0.0150 0. xtcc C.C125 0.0670 0.3694 0.2698 19. 25o7

6 • CO C . 1 5 C 0.0150 o.etco C.C125 0.06b5 0.4975 0.3596 24.67o5

9 .Ou C.l 5C 0.3150 o.et. j C.0125 0. 1041 0.O106 0.4436 2‘?."oi3 4

10.00 C . 1 5 C C.0150 0. tbfcO C.0126 0.1202 0.7151 0.5239 3 :? Jo

12.00 0.150 C . 315

0. 8t6C C.L125 0.1364 0.S114 0.602

3*« . 5 396

2.00 C . 1 5 C C.0150 0.9t-59 C.C125 0.0420 0.2350 0. 16b I 11 . 33 y

4 .00 0.I5C 0.0150 0.9t59 0.C125 0. 064o 0.3953 0.2693 19. 3dj9

6.00 C . 1 5 C C. 3150 0.9659 C.t 125 0.0336 0.5317 0.3596 25. 06^6

J .00 C.15C C . 3 1 5 i

‘i 0. 9f 59 ( . C 1

U • 100 4 0 .o5 4 2 6.4436 29. 32^3

10. CO C.i5C C. Ol^O 3.S659 C.U25 0 • 1 1 6 0 0.7652 0.52^9 32. 7J23

12.0 0 C.l 5C 0.3150 0.9659 C . C 1 2 :) 0.13vi7 0. 0675 0.602

3 4 . 9 -y 2 i

2 .00 C.15C 0 . 3 1 5 0 3.9 9(2 C.C125 0.0415 0.2397 0. I6b 1 1 i. 9'Jod

4.00 C.l 50 0.3150 C.99t<. 0.0125 0.C640 0.402b 0.2698 19 . j /53

6 . 0 u C.15G C . J 1 5 0 0.9962 C.cl29 C . 032 7 0.5423 0.3596 25 . 124 6

•J . Co ( . 1 5 C 0. )l5 0 0.‘:9(2 r . c 1 ?

•' j • 0 >94 0 .666 7 0.4936 29.4033

10. Co t. . 1 5 C 0.0150 0.‘/9ca c.6l?5 0.114b 0.7b 11 3.5239 3<. . J J 12 .00 C.l 5C 0.3150 0.9962 c.0125 C. 12^ 3 0.d869 0.602

35 . 10 J 7

71
CIA. rtAMH. SUPPLY CF AIN DRAIN FLOW ENTRY NORNAL PIPE LENC

C3Efr SLCPt

CSlh)

SLCPr

fSlN ) ENTRY jEPTH

RAX 10 H/D.

Energy

n. depth

H/O.

NORnAL Uc

L/0.

0 0.150 0-0l‘*0 0 • 2 5d e C.0500 0.0710 0.09 0 6 0.1201 6. 55o 5

0.15C 0. IISO 0. 2 5fc6 0.C500 0. llu<i 0.1507 0.1901 11.00o9

'j 0.15C 0. OHO 0.25fct C. 0500 0. 1A39 0.1966 0.25o7 1^.7676

yj 0.1t)C o.ouo 0 . 2 5 1

C.C50C 0 .1 792 0.2335 0. 30o5 17.0602

i) c. uc 0. OloO 0 . 2 5 1 o C.O^OO 1) . 2 0^ 5 0.2759 0.3596 20.9135

0 0.1 5C 0. Dl-i 0 0.258b 0 . O' 500 U.2295 0.3100 0.5105 23.5257

0 0.15C 0.0190 0.5CCC C. 05no 0.0577 0. 1296 0. 1201 7. 1513

0 0.150 0.0190 0.500C C.0500 O.Od -^5 0.2159 0.l9ul 12. 193 3

0 0.150 0. 01 9C 0 . 5 ( C 0 r.6~oc 0 . 1 1 oO 0 • 2c 66 0.2507 16 . Jbi. 3

0 0.150 0. 31 >0 0. 5CC0 C . <. 5

0''' 0 . 1 500 0.3597 0. 30o 5 19 , 65-# 5 0 C . 1 5 0 C.OHO 0.5000 C . 05 CO b. Lb22 0.5069 0.3596 23.2511

0 0.150 0. 0190 0. 5 COO C. C50'J 0.1935 0.5562 0.5105 2 0. 065 7

0 0.15C 0.0190 0.7C70 C.C500 0.0518 0.1579 0. 1201 7. 5375

0 0.150 0.0190 0.7070 C.C500 0 . oeou 0.2b36 0. 1901 12. 7035

0 C.15C 0.0190 0.7C70 C . C 5 0 0 0.1036 0.3513 0.2507 17.06o0

0 0.15C 0.0190 0.707C C.0500 0.1251 0.5303 0. 306 5 20. 7005

0 0. 1 50 0. Ol9 0 0.7C70 C.05O0 0. I5<t 7 0.302b 0.3596 25.2570

0 ( .150 0. 3 liO 0.7C7C C.C500 C.lo32 0.5693 0 . 5 1 0 5 27.2256

0 0 . 1 5 C 0.0190 O.fcttO C.C500 0. 0596 0.1777 0. 1201 7. 5925

0 C.I 5C 0. 019 0 0 . e f to C.C'^OO 0.0751 0.2966 0. 190 1 12. 96‘t9

0 C.15C 0.0130 0. fc ttC C.0500 0.0972 0.j9«0 0. 2507 17.52^0

0 C.I 50 C. 0190 0 . bttC C.C5^0 0.1170 0.5392 0.3065 21. 15'VI

0 C.15C C. 0 19 c 0 . 6 1 1 0 C.C500 0. 135<* 0.5697 0 • 35^6 25. 7530

0 C.15C 0. Olo 0 0 . fcteo C.050C 0.1527 0.6556 0 . 5 1 (J 5 27.9291

lO 0.15C 0. G19 C Q.<;t59 C. C50C C. 0570 0.1396 0. 1201 7.6719

lO C.I 5C 0.0190 0.9659 c.cooo 0.072t 0.3163 0. 1901 13.0995

10 C . 1 5 C 0. 01 90 0.9659 c.0500 0.0 33b 0.5259 0.2507 17.6157

•0 C.I 50 0.0190 0.^65s u. 1130 0.5219 0. 305 5 2 X • 3 a 5 3

!0 0.1^0 0. 01 J 0 0.9659 C. t jO'j 0. 1307 0. 6C96 0.3596 25. 0575

>0 0.15C 0. oij 0 0.9t5> c.0500 0.1573 0.6999 0. 5 lu5 2b. 1350

)0 0.15C 0.0190 0.9962 C. C5PC 0.0565 0.1929 0.1201 7. 6925

)0 0.150 0.0190 0 • 996 c C.C500 0 • 0 7 1 o 0. 3229 0. 190 1 13. 1 j79

)0 C.I 50 0.0190 0.9962 C.0‘'00 0 • 0930 0.5335 0.2507 17.5oj2

) J 0.150 0.3190 0. 9962 C.w^OO 0.1119 0.5316 0. 30o5 21. 55-i 7

f' . 1 5 C C. 019 0 0.9962 C.L500 0.1293 0.6213 0. 3596 25. 13j2

^0 0.1 5C 0.01^0 0.9962 C .0 5 00 0 . l55'< 0.7U32 0. 5 1>J 2 o . 2 I 1

72
(If LOW Cl/ . WASN. SUPPLY DRA IN F L».H ENTRY NUftNA L PIPt L£n<^

|/s.

1

1

1

r-. COtFr SLCPt

(Sih)

SLIP*' ENTRY JEPTh

•^AT 10 H/L.

ENERGY

n. depth

H/0.

NOfcnxL j£

L/0.

2.00 0«15O o.ouo 0.266c 0.0250 0.0710 0.0906 0. 1603 7.3353

<1.00 0*160 o.ouo 0.26et C .02‘=*0 O.1105 0.1537 0.2506 12.2 laJ

6.0C 0.16C C.'UiO 0.26C6 r .0260 u. 1519 0.1966 0.3190 1 b . U 1 5 0

8.0C C .160 c . 0 n 0 0 . 2 6 1 0 C.C260 0.1752 0.2385 0.3933 19. lou5

ilO. 00 C. 160 0 . T l •* 0 0.2 6t t (>.02*^0 0. 20^6 0.2769 0 . 5b3 1 21.67/3

12.00 0.160 0. 31-JO 0. 2 6c 6 C.C250 0.229^ 0.3100 0. 6 30 6 23.6905

1 2.00 C.15C o.cuo 0.6CC0 r .02 60 0. 0677 0.1296 0 . 1 60 6 7. 955 6

A. 00 C.150 C . 3 1 i 0 0.6000 C.C260 0.0395 0.2159 0. 2 5 06 13.2C53

j 6.00 C .16 0 0. Ol-iO 0.6CC0 C. 0?‘'0 0. llbO 0.2c 66 0.3196 17. 5615

8.00 C . 1 6 0 C. 3l-)0 0.6CCC C.C263 c . 1500 0.35W7 0. 3933 20.9520

; 10. Oo C.16C 0. n-jo 0.6 OCo C.o25

j

0. Ib22 0 . 50 b 9 0.5b31 2 J • b‘»95

1 2 . 0 C

t

C .1 60 c . 3 1 0 0. 6CC 0 C .0260 0 .0 J 6 0.5562 0 . 5 3u fa 2b • OO*! fa

2.00 C . 1 6 C 0 . 31 JG 0.7C7t C.C260 0.0513 0.1679 0 . 1 5 c 3 0. 223 5 .00 0.160 0 . 3 1 -J 3 0.7C7U C.0260 0 . OoOO 0.2t3b 0 . 250 6 13.752

6.00 C . 1

C 0. 31 10 U.7C7C C • C w ^ 0 . 1030 0.3613 0. 31-/6 Ifa. 11s 5

fi . Oo 0.1 6C 0.3110 0.7070 C.0250 0.1261 0.5303 0.3933 21. 7b y

10.00 C . 1 6 0 0.3110 0.7C7C C . 0 6 0 U. 155? 0.5026 0.5631 2 5 . 7 7 0 12.00 C.l 6C 0 . 3 U 0 0.7C7O C.o2 5C 0 . lt>3

0 . 5 b c 3 0 . 6 3 0 0 2 7. 135 3

1 2.00 0.16C 0. 0110 o.tcto C.C250 0.05dt 0^1777 0. 16o3 6.3739

1 <*.0 0 C.16C 0.3130 0. ^fcCO C .C?50 0.0751 0 . 29bb 0 • 2 5 u 6 1 5 . 0 J b 2 o . 0 0 C.16G C- 3110 o.tt to C.C26U U.0972 0.3980 0.319b 10.5771

3 . C 0 C.l 60 C. 31 10 0. c< t 0 C. C26') 0.1170 0.56:2 0.3933 22. '22 a 9 ,10. 00 C.160 C. 3110 O.fctc 0 C . u2 6 0 0.1355 0.5g97 J.5o31 2 5 . 2 V i t

! 1

. 0 0 0.160 0. 31i0 tttO 0.C250 0.1627 0«o55b 0.630b 27. 7 375

i 2.00 C.16C 0.3130 3.tt6S 0 . L 2 60 U. 0570 0.1396 0.1606 0.5553

<».00 C.16C 0. 3110 0. <yt66 C .C2 60 0.072b 0 .31b6 0. 2 50

15. 1 i » 6

6.00 C.160 0.0110 '•> . 9 < 6 9 ( .0250 0. 093c 0.52 69 0. 3 1 / b 1 0 . 653 3 'i.OO C.l 0.3110 O.Sr 69 C . C ? 0 0 . 1130 0.52 Ic 0. 393 3 2 i . 5 *» 5 V 10.00 C.16C 0 . 3 1 J 0 0.9t69 o.c:*-

0. 1307 0 . oO 8 b 0. 5bJ 1 26. 5552

12.00 C.l 6C C , 3 1 1 3 0.9c69 0 . c 2 0 c . 15? 3 0.5699 0. 6 3a 6 2 0 • 05 0 2

j 2.00 C.15C O.3U0 0.99t2 C.C250 • O.05a6 0.1929 0.

606 0.5773

' H.OO 0.16C 0.3110 C.*.9t2 c . C 2 63 0 . 0 7 1 0 0.5*29 0.2506 15.1773

6.0C t .16C 0.3110 0.99fc^: C.C25C 0 . C 9 J J 0.5335 a. 3 Iv b 1 1 . 7 a / 3

it C.160 U . 3110 0.V9<<: r . c 2

J 0.111/ 0.631b J . 3 9 5 3 2 ^ . 5-/7 J

! .OU ( . 1 6 r. C . ) 1 . 0 0 .«'9t.; ( .L.?'’-! 0.12/3 0.o215 0 • 5 b J 1 2 5 . bi ; J

J 12.00 c.l 60 0.3130 0.^9t^ r.i-2S(, 0 . 1 5 5 0.7032 0 . 6 3a 0 2 o - 1 jo J

73
FLOW DIA. NAMN. SUPPLY CPAIN OkA IN FLOW ENTRY noknal

L/S. p. COFFr SLCP£

(SIN}

SLCPF

(SIN)

ENTRY UEPTH

RATIO h/D.

energy

n. OEPTHH/0.

2.00 O.l^O O.OISO 0.2568 0.0167 0.0710 0.0906 0.1725

4.00 0.130 0.3130 0.2506 0.C167 0.1104 0.1487 0.2766

6.00 C.13C 0. 0 13 0 0.2 5bb 0.ul67 0. 1439 0.1966 0.3694

3.00 C.l 3C 0.3130 0.256b 0.U167 0.1742 0.2385 0.4558

10.00 0.130 0.3130 0 . 2 5 L e C .0167 V • 2025 0.2759 0. 5 3o6

12.00 0.1 50 0. OUO 0.256c C.L167 \.2294 0.31Q0 0.619b

2.00 0.150 O.OldO 0.5 CCC C.C167 0.0577 0.1296 0. 172 5

4.00 0.150 0.3130 0. 5C00 C.0167 0.0894 0.2149 0.2766

6.00 C . 1 3 C 0. 3130 0.5 CCc C.0167 O.llbO 0. 2666 0. 3694

8.00 C . 1 5 0 0 . 3 1 1 0 0.5 COO C .0167 0. 1400 0.3497 0 • 455 o 10.00 C. 150 C . 3 1 3 0 0.5CCC C . 0167 0. Ib22 0.4069 0 . 53o6

12.00 0.150 0.3130 0.50Cl 0.1167 0.1835 0.4582 0.6196

2.00 0.150 0.0130 0.7C7G 0.0167 0.0518 0.1579 0. 1725

4.00 0.150 0.3130 0.7C7L C.C167 0.0800 0.2636 O. 2 766

6.00 0.15C 0. 0130 0.7C7C 0.0167 0. 103o 0.3518 0.3694

6.00 0.1 5C 0.3130 0. 7C70 C.0167 0.1251 0.4303 0.4558

10.00 0. 150 0 . 3 1 .3 0 0.7C7C C.0167 0. 1447 0.6u28 0.5366

12.00 C.l 5C 0 . 3 1 J 0 0. 7C70 0.0167 0.1632 0.5688 0.6196

2-00 0.150 0.0130 0. £6tc 0.0167 0.048b 0.1777 0.1725

4.00 0.15C 0. 0l3C O.t tbC C-0167 0.0751 • 0.2966 0- 2766

6.00 0.150 0 . 0 1 J 0 0-8660 C.Gl 67 0.0972 0.3980 0. 3694

8-00 0.150 0.0130 0- 8660 C.0167 0. 1170 0,.4c82 0.455b

10.00 C.150 0. 0130 0.0660 C.0167 0. 1364 0.5697 0. 5 3c6

12.00 0.150 0.0180 0.8660 0.0167 0. 162 7 0 • o4 46 0.6196

2.00 0.150 0. 3130 0.9659 C.Cl 67 0.0470 0.1396 0. 1725

4.00 0.150 0 . 0 1 1 0 0.9659 C.0167 0 . 0 72 6 0.3168 0.2766

6.00 C . 1 5 C 0 . C 1 3 0 0 .‘*659 C.tl 67 0. 093o 0.4259 0.3o94

8.00 0.150 0, Oly 0 0. 96 5*^ 0.0167 0.1130 0-6218 0.4568

10.00 0.150 C. 3130 0.9659 0.0167 0. 1307 0 . c08 6 0 . 53 5 6

12.00 0.150 0. 01.3 0 0.9659 0.0167 0.1473 0.OC99 J. 6 l^y 6

2.00 C.15C 0.0133 0.9962 C.0167 0. 0465 0.1929 0. 1725

4.00 0.150 0.313 0 0.996^ C . L i 67 0. 0718 0.3229 0.2766

6.00 0.150 0. C130 0.9962 0.0167 0.0O30 0.9334 0. 3694

8.00 C.150 0. 01 iO 0.996^ 0.c167 0. 1119 0.5316 0.4668

10. CO 0.150 C. 313

0.9962 C.Cl 67 0. 1293 C . u2 I b 0. 5386

12.00 0.150 0.3130 0.9962 0.0167 O - 1469 0. 7032 0 • 6 I 6

PlPt LhiGTH T normal JcPTrt.

L/0,

6. 5b32

10.b332

13 • 37i

Ii>.3l7-J

ltJ.93i7

lb • S*^ j 3

7. 1766

11.6926

lA. oio3

1 6 • 9 0 •} 6

1 7 • A62o

I'rf. ^ A V<»

7.A623

12. in5

13.

-H67A

17. 7oi

17. 7Ao7

2C' . ^ 60 3

7.6178

12. A5^0

13. 03a 7 1 c .' i 6 7 3

17.A6/7

21.021

7 . 69 b 5

l4.3‘Vi<t

1 6 . 0 ^ o I Ic. 39 j 7 17.033 ^ 21. 29^3

7. 71 M

12.6321

lo. <J9 h 1 ic. . A 3u 3 lb. 3 3 •> j

2i. 3792

74
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uijil ,0''

'; »-.>-•>, • w>% * »

•/ i

*>

ooiiSw

.s^y. c ^40t‘*0

C\,0^ -*' .0:

.?\>

XOCOasO

p^.

:“ ppima'”

47

'• rv >.^o

n

cc.j.vi ViVK^-a

.) :,l. yi 0,. .1

•

s'*' ^ * '

<1 -w^ ' . - *

i {%;: ’«

75
flow DIA. nASN. SUPPLY CFAIN ORA IN FLOW ENTRY NORMAL PIPc LENC

L/S. CQEFF SLOPE SLOPE ENTRY UEPTH energy depth normal OE

•

f SIM ISlsi RATIO N/D. N. H/D. L/0.

2.00 (U150 0. 0090 0.2566 C.0500 0.0f)60 0.1973 0.0770 17.9232

Ki.OO 0*L5C 0.0090 0.2566 C.O500 0.1593 0.3015 0.2791 76.2177

16.00 0.150 0. 009C 0.2566 C.0500 0.1792 0.8755 0.3069 83.2009

13.00 0.150 0.00-» 0 0.25bt C .0500 0.1866 0.9959 0.3333 9u. 628 7 20.00 0. 15C 0. 90>0 0.2566 C.C500 0.2025 1.0123 0.3596 9b. 19^7

22.00 0.150 0. )090 0.2566 C.0500 -0.2102 1.0750 0. 3850 . 103. 7190

2. CO 0.15C 0.0090 0.5CCO C.C500 0. 0375 0.2919 0.0770 19.9363

1<».00 0.15C 0.0090 0. 5C00 0.0500 0.1233 1.2181 0. 2791 85.0579

16. Ou 0.150 C. 0090 0.5CC0 C.C5 00 0. 1900 1.3357 0. 30b9 92.9312

IS. 00 C.15C 0.009 0 0. 5CCC C.C500 0.1515 1.9991 0.3333 lOi. 1729

20.00 0.15C 0. 00 >u 0.5 rcG C.0500 0. 1622 1.5595 0.3596 109.5392

22.00 C.15C 0 , 00)0 0. 5CC0 r.G5C0 0.173J 1.6596 0.3350 115. 3a32

2. CO 0.15C 0.0090 0.7C70 C.05CO 0.0337 0.3592 0.0770 2 0. 2637

1^.00 C.15C 0.0090 0. 7C7C C.C500 0. 1197 1.5175 0.2791 86.9b30

16.00 0. 15C 0.0090 0.7C7C G. 0=00 0. 1251 l.b651 0. 30o9 9b . 6r> 7 5 13.00 C.l 50 0.009 0 0. 7C7C C.0500 0.1351 1.3066 0.3333 105.3029

20.00 C. 150 0.0090 0.7C7C C.G500 0. 1997 1.9963 0.3596 113.9653

22,00 0.15C 0. 0090 0.7C7C r.u5C0 0.1592 2.0731 0.3850 120.*6912

2.00 0.15C C. 0090 0.866C c.0500 0. 031o 0.9069 0. 0770 20 . 6619

1^.00 0.15C 0.0090 o.ettc C. C50C 0. 1079 1.7281 0.2 7^1 90.2155

16.00 C.15C 0. 009Q 0. et 60 C.t500 0.1170 1.9C02 0.30o9 90.6990

18.00 0.150 0. 0090 0. 8660 C.C500 0.12b3 2.0625 0.3333 1 0 7 . 9 2 7 0

20. CO 0.15C C. 0390 0 . 6 6 G C.C5O0 0. 1359 2,2177 0. 3596 11o.2'J93

22.00 0.1 5C 0 . 0 09 0 0. 66tG C.0500 0.1992 2 .366 2 0.3850 123. 0797

2.00 0.150 0. 0090 0 .9659 C. C500 0.0306 0.9399 0.0770 2 C , o 59 5

l<i .00 0.1 5C 0.0070 0.9659 C.0500 0.1037 1.0506 0. 279

91. 0693

16.00 C.150 U.0090 0.9659 C. 05 00 0. 1130 2.0363 0. 30o9 99. 5 /3 ) 18.00 0.1 5C C . 00 7 0 0. 9t 59 C.G5G0 0. 122u 2.209b u. 333 3 lCo.9529

20.00 0.15C 0. 0090 0.9659 O.C^OO 0. 1307 2.3757 0. 3596 117. 3021

22 .00 0.15C 0.009 0 0.9659 C.C50J 0 .1390 2.5915 0.3350 12*.. 2^-3 3

2.00 0.15C 0.0090 0.9962 C.C500 0.0303 0.9926 0.0770 2 u . 9 0 7 3

1^.00 C.150 0.0070 0.9962 C.0’'00 0.102b 1.3t99 0.2 791 91. 3227

16.00 C.150 0.0070 0.9962 C.C500 0.1119 2.0759 0.3069 9 s . d 5 J 3 13.00 C.l 50 0 . 9 Q 7 0 0.996^ C.uSOO 0.120c 2.2539 0.3333 ICo. 7 Jio

20. 00 0.15C 0. 0090 0.9962 C.C500 0. 1293 2.9292 0.3596 11 7. o9c 7 2 2 . 0 0 0.15C C.0090 Q.9962 0.C500 0,137b 2.5953 0.38P 0 129.09"'!

!f. IL

'I!'

76
FLOW riA • MASN. SUPPLY CKAIN ORA IN FLOW Entry

L/S, C*3'FF SLOPE SLOPF ENTRY DEPTH Energy

ISIH) CSINI PAI 10 H/0. M.

NORMAL PIPt LENGTH TU

depth normal JEPTH.

H/D. L/J.

2.00 0.X50 0. 0070 0.2566 C.C2 50 O.OAoO 0.1973 0.0960 25. <.377

1 A.OO O.li^C 0 . 0 0 > c 0.2566 C.C250 0.1593 0.6015 0. 3567 102. 7rt56

16.00 C.lbO c. 00 >0 0.25tt ( .CZ‘^0 0. 17^2 0 .o755 0.3933 113.o7o3

16. O'' C .l 50 0 . 0 0 ro 0. 25ft f .C'»50 0 . 1660 0.9i,5^ 0.52^5 124.0251

20.00 0.150 0. 0 0 )0 0.256b C.L? 50 0.2025 1.0123 0.A63I 130.57

2 2.00 C.150 0.00^3 0.2566 C.6250 V^.21o2 1.0750 J.5976 . 139.349-#

2. CO C.15C O.OC90 0.50CC C. 0230 0.0375 0.2919 0.09o0 26. 1320

15. OC C.15C 0.0090 0.5CC0 C.C250 0. 1263 1.2181 0. 35o7 110. 23> 7 16.00 C.15C 0.00 #0 0.50CC C. 0250 0. 1500 1.3357 0.3933 121. 656 7 15.00 0.150 0.009U 0.50C 0 C . C 2 5 0 0.1515 1.5551 0.52o5 130.9J-. 7 20.00 C.150 C. 0070 0.5 00

C.L? 50 0.1642 1.5555 0.5631 150 . 15 J 5 22.00 C.150 0.0090 0. 5000 r .0250 0.1730 1.655:> 0. 5976 159. 7I7p

2.00 C.15C 0. 0070 0.7C7C C- 0250 0.0337 0.3592 0.0960 26 . 0269

15.00 0.150 0.00)0 0. 7C7L C.C250 0 . 1 15 7 1.5175 0.3567 113. 35oo

16.00 C .150 O.0C70 0.7C 7t C.C250 0. 1251 1 . 66 5 1 0.3933 12 5 • 26 «

1 3.00 C.l 50 C . 0 09 0 0. 7071 (•.02*^0 0. 1331 1.3066 u . 52 j 5 135. 722 3 20. OC C . 1 5 C 0. 0090 0.7C7C C.C?50 0 . 1557 1.9563 0.5631 155. 2312

22.00 0.150 C.0'17 0 0. 7C7C C.L 2 50 0. 1552 2.0731 0.5976 155. 0736

2.00 0.150 0. 0090 0 . h 6 6 C C.C250 0.0316 0.5069 U . 09o 0 27. 1916

15.00 0.150 O.O'^ 7 0 0. bbtC C.C250 0.1075 L.7281 0.3567 115.0039

16.00 C. 15C 0.0090 0 . 1 1 6 C C.C250 0.1170 1.9002 0.39j3 127. 09^2

18.00 C . i 5 0 0. 0090 0 • b 6 6 c < .0?50 0.1263 2.UC25 0.5235 136.722 9 2C.C0 C.150 0. 0070 0 . & 6 1

C.C250 0.1365 2.2177 0.5631 15c • 3 6 J J 22. Ou C.150 C . 7 0 9 0 0. Etec C.^'250 C .15‘t2 2 . 366 2 0.5976 156.3619

2. CO 0.15C 0.00 7 : 0.9659 C.C250 0.0306 0.5355 0.09o0 27.379/

15.00 C.150 0. 7090 0.9659 0.t250 0.1037 l.o506 0. 35o7 116.3170

16.00 ( .15C 0.0070 0.9659 C.C250 0.1130 2.036.3 0.3933 127 .99 J 3

1ft . 00 C.150 t. 00 7G n.96‘,9 C.0?66 0. 1220 2 .4 J9o U.52j5 13 7.69 ’H 20.00 C.15C 00 70 0.9f 59 C. 02*^0 u . 13 g7 2.3757 0 . 563 1 15 7. '0 -i o 22.00 C.150 0. 70 70 0.9659 C .C250 0.1390 2.65 l6 0. 5w7 6 157.5201

2.00 C.15C 0. 2070 0.996^: C.C250 0.0303 0.5526 0.09o0 27.*i2w2

1 5.0'J C- . 1 5 0 0.7070 0. 9^*62 f .or 50 0.1026 1.0699 0. 3567 ll6. GoUO

16.00 C.150 0. 0 0 #0 0.99t4 0.C25J 0.1119 2.0759 0. 3933 126. 2312

1 - .Oj C.l 50 0.0070 0.9*^ 6 2 f . t 2 - 0 C . I 4 J b 2.2539 0 • 52"

1 3 7. 9 7: 7 20 . Oo r .15C 'J . : ? 7 J 0.99t4 f.L? 0.1293 2.5292 0 • 5 c 3 1 157. 73^

2 2 .00 C- . 1 ‘ c 0.0070 0.99t2 C.L25C u. 1376 2.3963 0.5976 167, C373

77
flow OIA. MASN. SUPPLY DPAIN drain flow ENTRY NiiRNA L PIFt LENGTH TO

L/S. H. cofff SLCPe

(SIM (SINJ

ENTRY DEPTH

Ratio h/d.

Energy

rt. depth

H/D.

M0Rn6L JEPTH.

L/Li.

1

1

2.00

A 0*1 5 C 0.0090 0.2566 0.C167 0.0660 0.1973 0. 1093 26. 3700

1^.00 0.150 0. TOiO 0.2566 0.C167 0.1593 0.O015 0.6133 117. bod 3 1 16.00 0.15C 0. OO'JO 0.25tb C.C'167 0.1 762 0.o755 0.6538 127.6767 1 13.00 C.150 0. 00^0 0.258b r .C197 0.1886 0.9656 0.6976 136.975 7

1 20. OC C.15C 0. )090 0.2568 C.L 167 0 . 2 W 4. .J 1.0123 0. 53 o6 165.36^0

1 22 .00 C.15C 0. 0090 0.2586 0.0167 0.2162 1.0750 0.57^6 155.5575

I 2.00 C.15C 0.0090 0.5CCC O.Cl 67 0.0375 0.2919 0. 1093 29.9769 T

l<i.00 0.150 c.ooo 0. 5CC0 r . 0 1 67 0.1263 1.2181 0. 6133 126. 73o3

16.00 C.15C C. OO ^0 0.5CC0 0 . c 1 6 7 0.1600 1.3357 0. 6358 135. 37j3 1 1 e- . 0 0 0.1 5C 0.0090 O.5CC0 C.G167 0.1515 1.6661 0.6976 165 . 5::i 2 jl 20.00 C.15C 0. '‘0 JO 0.5CC C C.C167 0. 1622 1 . 53 6 5 0.53c6 13p.20.*0

! 1 22.00 0.15C 0.0090 0. 5 ecu C . C 1 67 0.1730 1.6566 0.5796 165.53..3

1 ^

2.00 C. 15C 0.0090 0.7C7C C.G167 0.0337 0.3592 0.1093 3u. 66 J 3 r 1^.00 C .150 C.OO JO 0.7C7C C .0167 0.1167 1.5175 0.6133 127. f 5 J6 1 16.00 C.15C C . 0 0 J 0 0. 7C7C C. C167 0.1231 1.6651 0.6356 13 o. 75 96

18.00 0.150 C.OO JO 0. 7C7C C . L 1 6 7 0. 1351 1 . d066 0.6976 169.3213 1 20.00 0.15C C. 00 JO 0 .7C7C C.C167 0.1667 1.9663 0 « 3 3b 6 159.26'JO 1 22.00 0.15C 0. 0090 0. 7C7L C.C167 0.1562 2.0731 0. 37'»6 169.5619 L

1If 2.00 0.150 C. 0090 0 . to C.C167 0. 0316 0.6069 0. 1093 31. 3089

/(u lA.OC C.15C c . 0 n 9 0 0. ettc r.Cl67 0.1076 1.7261 0.6133 129.6613

16. CO C.15C C. 0090 0. 6 fctO C.C167 C.1170 1.9002 0.6558 16 o. 5 o2 5 • 16.00 C.l 5C 0. 00 JO 0. bttb ^.0167 0. 1263 2.0625 0.6976 151 . 3129 L 20.00 0.15C 0. 0090 0.6 66 0 C.Cl^7 0. 1356 2.2177 0. 53b6 161.3570 U

22.00 C.l 50 C. 0090 0. f tec C .0167 C.1662 2.3o62 0. 5 7-»6 1 7C£ 6

1',

K.n 2.00 C.15C n C. 0090 0.9659 r.C! 67 0. 0306 0.6366 0. 1093 31 . 1

“ 36

1^.00 0 . 1 5 C C. 0^90 0. 9659 C.C167 0.1037 1.o506 0.6133 130.20./ 3 16.00 0.15C C. OO JO 0.9659 0. Cl 67 0.1130 2.0363 0.6558 163.6616

1 8.00 C.l 5C C. 00 JO 0. s 6 5-9 C'.C 167 0. 1220 2.2096 0 . 69 7 6 156. 5309 i 20.00 0.150 u 0. JO JO 0.9t59 0.C167 0. 1 307 2.3757 0. 3 3o6 1 06 • 9 Oj 3 22.00 0.150 0 . 009 0 0. 9659 C . 0 1 6 7 0.1390 2.3615 0 . 579b 167 . 553 7 u

l!

2.00 0.150 0. 0090 0.99C2 C.C167 0.0303 0.6626 0. 1093 31.2365

JC

l<r.00 0.150 0. 00 J 0 C. 99< 4: C.C167 0.1026 1.8899 0.6133 129.6370

16 . Gu C.15C 0. 00 JO 0.9962 C.C167 0.1119 2.075'J 0. 6550 165. 17d1

1 o - 0 0 C.l 5C 0 . ) 0 J 0 0.99< 2 ( .0167 u. 12oc 2.253 J 0.697 6 155. 31 J1

20.00 C.15C 0. TO JO 0.99t2 C . L 1 6 7 0.12 J3 2.6292 0. 5 3 c o 16o.L3jJ

22.00 C . 1 5 0 0.0090 0 . 9962 C.t 167 0.13/O

78

2.5953 0 . 5 7"» b 1 o o . o O .'I It.

ii,
FLOW CIA. HAHN. SUPPLY CP AIN OKA IN FLOW ENTRY NORHAL PIPE LE.hGTH TC

L/S, f . COEFF SlGF£ SLC»*F ENTkY OFPTh ENERGY OEPTh NORnAL JcPTH.

(SIM (SIN) RAT lo H/D. rt. h/0. L/U.

2.00 0.16C 0. 0090 0.25et 0.C125 0. 0660 0. 1973 0. 1201 30.5763

lA.OO 0.150 0.01*0 0. 25tc 0.0123 i/.15v3 0.OG15 0.6597 126.77^9

16.00 C.15C 0. 20 )0 D.25Pt C . 1 2 5 0.1762 0. o755 0. 503 3 1 3o. l6 i 6

1 '^.00 0.150 0.00 / .j n.zttL r.tl25 0.1 0.9656 0.5522 165.UG/ ) 20. Ou C. 15(. 0. TO *0 0. 2 5fcc C.ol?5 0. 2025 1.0123 0. 602 I l26 . 50i J 22.00 0.150 C.0090 0.25EO C.C125 0.2162 1.0750 0.6679 162. 9201

2.00 C.15C 0. 0090 G.5CCC C.G123 U.0375 0.2919 0. 1201 32. 6692

16.00 0 . 1 5 C- 0.009,) 0.5GOO C .G125 0.12O3 1.2181 0.659 7 131.3376

16.00 C. 15C 0. C VOO 0.5CGC r.tl25 0. 1600 1.3357 0.50,j3 16 J • -» 6 j o

1 6. 00 t . 1 5 C 0.00)0 0. 5 UGC t . U 1 2 5 0.1515 1 .6660.5352 153. 5332

20.00 0.15C 0. O'^OO 0.5CCC C,0125 0. 1622 1.5565 0. o02

l6j. ~f 1

. o o 0.1 5C 0.00)0 C.5CCG C . C 1 2 5 0.1730 1.0566 0.6679 17t . 3oo6

2.00 C.15C 0.0090 0.7C70 C.0125 O.0337 0.3592 0. 1201 33. I2u3

1 6 . 0 0 C . 1 5 0 0.00)0 0. 7C7o (.01?5 0. 1167 1.5175 U. 65 ) 7 137.3503

lo.OO C. 15C 0. 00)0 0.7C7G C.G125 0.1251 1.6651 0. 50o 3 166. 32o9

1-3.00 0.15C 0. TO^O 0.7G70 0.0125 0.1351 1 . 3066 0.5552 16 3 . 9 7o J

2 0.00 0 . 1 5 C 0. 00 )0 0.7C7G C.C125 0. 1667 l.'»663 0.6021 16^. 1 U30

22 .CG C.15C C. 009 3 0. 707G 0.G125 0.1562 2.0731 0.6679 1 7i . 6*1 .3 6

2.00 0.15C 0.0090 O.EEfcC c.0125 0.0316 0.6O69 0. 1201 3 3.67 >3

16.00 0.1 5C 0. 00)0 0. ettc C.0125 0. 1076 1.72t'l 0. 659 7 15o, 37.5

16.00 C . 1 5 G 0. 0090 0.fc<r t C r. C125 0. 1170 1.9002 0. 5 3 o 3 165-163)

1 ,.< • C 0 0 . 1 5 C 0.00)0 0. E 6t

C.0125 0.1263 2.0025 3.5552 176.9996

23. OC C . 1 1 C 0.33)0 0 . t ( to C.C125 0.1356 2.2177 U.602

lbO« 7 2 2 . 0 0 C.l 50 0.00)0 0 . te to 0.G125 0.1662 2.3662 0.6679 X ^ 0 ^ A ^

2 . Ou C . 1 5 C 0. 00 )0 ().9t59 C.0125 C.0306 0.6366 0. 1201 33 . 653 2 16 . Oo 0.15C C . 0 0 »

0.9659 0.0125 0.1037 1 .o50b 0.6597 l6o.*)l33

16.00 C. 15C 0. C09C 0.9( 59 C.G125 0.1130 2.0363 0.50o 3 166.53;

1 6 • OG 0.15G 0. 30 )0 0. 9659 C.L125 0.122U 2 .209^ 0.5552 ISo.^io')

20 .CO 0.15C 0. 30 )C -).9^59 C. tl?5 0 . 1 3 j 7 2.3757 0.602 1 159. 35 > 7 2 2. GO C.l 50 0.00)0 0.9659 C .01^5 O.l3#0 2.5615 0.6679 165. 5 .‘5 7

2.00 C.15C O.OC )0 0.996^ C. G1 »5 0.0303 0.6626 0.1201 33. 7od3

16.00 C.l 5C 0.00)3 0.996i C.c 125 0 • 1026 1.0699 0.659 7 172.vj6i6

It. GO C.150 0.00)0 0.99t2 C.0125 0. 1119 2.U7S9 0. 50d3 166. )

i . C 0 ( .150 0. 00 )0 0. r.L 1 ;*5 c. 1

jH 2.2539 0 . 5 55 2 l6n.5ii.3

2 3 .00 t . 15t 0.30)3 0-99t.2 r.ci 2v u. 12 9 3 2.6292 0. 6v3^ 1 l5o. 5^ «2

22 .Ou G . i 5 C 0.10)3 0. 99t^ C.C125 0.1376 2. 59 0

0 • 6. 6 7 9 1 6 5 • O 3 )

79
Flow CIA. hAMN. SUPPLY OPAIN OKAIH FLON ENTRY NGRNAL PIPb LE.4CTH TO

L/S, H. COcFF SLCPC

CSIN)

SLOP?

(SIN)

FwrRY DEPTH

RATIO ti/D.

energy

N.

depth

H/0.

MOKflAL DEPTH.

L/D.

2.00 CUISC 0. C120 0.2568 C.0500 0.0550 0.1913 0.0925 11 . 8686

Ki.OO 0.150 0.1120 0.2566 C.C500 0.1932 0.5579 0.3920 . 50.3711 1 16.00 0.15C 0.0120 0.i5fcfc C.0500 0. 2115 0.6077 0.3767 55.36/6

13.00 0.1 5C 0.0120 0.2566 C.C505 0.229<, 0.6599 0.9109 5S.777J

20.00 C.15 0 0. 0120 0.256c C.C5'>0 0.2966 0.6980 . 0. 99 69 . 29\j 9

22.00 0.150 0.1120 0.2566 0.C500 0.2639 0.7917 0.9758 67.3275

2.00 0.15C 0.0120

r. 0.5CCC 0. 0*^00. 0. 099o 0.2071 0.0925 13.2992

lA.OC C.15C C . 0 1 2 0 0. 5CC0 C .C500 0.1562 0 . o9 30 0.3920 56. 12=1

16.00 C . 1 5 0 0.1120 0.5CCC C.05nc 0. l69o 0.9219 0.3767 6 1 . 6o J 9

13.00 0.15C 0. 0120 0.5CCC C.C500 0.1835 0.9966 0.9109 6c. c3 Jo

20.00 C.15C 0. 0120 0.5CCC C.C500 0. Ho9 1.0683 0.9936 7 i. . 6 3 7 0

22.00 0.150 C.0120 O.5CC0 C.C500 O.Zlol 1.1356 0 • 975 0 75 • 60d2

2.00 C.15C 0. 0 120 0.7C/C C.C500 0.0903 0.2596 0.0925 13. 77oi

1^.00 C .15C 0.0120 0.7C7C C .C500 0.13=3 1.0523 0.39^0 5o • 9c J 0

lo. 00 0.15 0 0. 0120 0.7C70 C.0500 0. 1510 1.1530 0. 37o7 69 . 2 ns 0

18.00 0 . 1 5 C C. 012 0 0.7C70 C.C500 0. 1632 1.2991 0.910 9 6V. 93id

20. 00 C.15C 0. 012-0 0.7C7C C.C900 0. 1762 1.3337 0.9936 79 . o29 5 2 2.00 0.150 0.0120 0. 7C7C C.C 500 0.1369 1.9232 0.9758 7b.5o02 .

2.00 0.15C 0.0120 o.ettc C.C500 0.037b 0.2873 0.0925 19.0995 j 1<*.00 C . 1 5 C 0.0120 0 . 6 6 1 G C.O-On 0.12^5 1.1958 0. 3920 59,6=09

16.00 C. 150 0.0120 0 • 6c6C C. C5Q0 0.1912 1.3133 0.37o7 65. 55=0 . 18.00 C.l 5C 0. 012 0 0 • 6 6t . C.c9?o 0.1527 1.9217 0.9109 70. =-*29

j 2 0.00 C.150 0. 0120 0 .66tC O.C500 0. 1637 1.5279 0. 9936 7o.l6=2 1 2 2 . C J C.i 5C C. 012 0 0. fcCcC C.C500 0.17^9 1.6276 0.975 8 60.5359

)

2 . 00 0.15C 0.0120 0.5659 C.C500 0. 0365 0.3073 0.0925

4 19. I = i3

1^.00 C.150 0.0120 0. 9t 59 C.L 5 00 0.1299 1.2691 0.3920 60 . 29/

16.00 C.150 0. 0120 0.9659 ( .C‘ 00 0. 13o9 1.9067 0. 3767 66. l9;o ^

‘ 18.00 C.15C 0.0120 0.9659 C.C500 0.1973 1.5297 0.9109 7i.55n3 l;

20.00 C.15C 0. 012 u 0.9t 59 C.C900 0. 157o 1.O902 0.9936 7o.99ns “ 22.00 0.150 C. 0120 0. «t59 0.C5 00 0 • 1 63 3 1.7999 0.9758 Oi.3n73 "

: ?0

2.00 C. 15C 0. C120 0.99C2 0.0500 0. 0362 0.3123 0.0925

> u 19.2135

1 A . 0 0 C.15C 0.0120 0.99(2 C.c300 0.1237 1.3C90 0.392 0 60 . 9 Oo = 16.00 C.15C 0.0120 0s9CtZ C.C50u 0. 13-.9 1.9368 0. 37o7 60.391-1 /

1 3.00 C.i 5 0 0.0120 0.9962 C.C3 1.J U. 195 9 1.559= 0.9109 7i.79/o ^ 20.00 0.15 C C.0120 0.9t(

C.C 5 00 0. 1769 1.6709 0.99=6 77.1373

2 2.0J 0.150 0 . 0 1 2 j <> . 9 9fct C . C ? 0 J 0 . 1 6o6 1.7=01 0.9755 0 i . 3 7 n =

80
Flow CU« SUPPLY CF AIN OKA IN flow ENTRY NORMAL PIPf LtiG

L/S. OSFF SLl F t SLIP? TmIKY Of fth Energy OcPTH NOV.’.AL Jl

<S1N) <S1N> PATIO H/0. n. H/0. L/0.

2.00 0«1SG 0.0120 0.2566 C.C250 0.0550 0.1AI3 0.1155 15. 7823

l^i.OO e.160 0.0120 0. 2 5fcc C.C25G u.l'^J2 0.5575 0.AAO2 . faA. 3 J^2

16.00 0.160 0. 0120 0.256c C .C'2‘'0 0.2115 0.6077 0. A6b 1 69. dfac 7 18.00 C.15C 0. 0120 0.25tt C.(.250 0.22y^ 0.65A5 0. 53u d 7A . !>A^ 7 20.00 C.15C 0. 0 12 0 3 . 2 * fc fa C.C250 0 . 2^o8 0.b9fa0 •0.5757 fau . 1 1 > 3

22.00 C.l 50 0. 112 0 0.25tt C .0250 0.2c3^ 0.7A17 U . 6 lo 7 fa3.69^A

2.00 0.150 0.0120

fi 0.50CC C.C250' 0. 0<i^6 0.2071 0. 1155 lb. 91:> 7 1^.00 0.1 50 0. 0120 0.5CCU C.0250 0.1552 0.6<« 30 0. AAJ2 69. 2911

16.00 0.150 0.0120 0.5CLC C.C250 0.169b 0. 92 19 0 . A 0 fa 1 75. 31 #5

1 8.Co C.l 50 0.1120 0.5CCC C .V.2 50 o. H35 0.9966 0. 53u 8 bu . ^ 0? 3 2 0.00 0.150 C. 3120 0.5CCL C .l250 0. 1969 1.0663 0. 5 25 7 bo. 5 3 0 5 22.00 C.l 5C 0. 0120 0. 5 CLC C.02 50 0.2101 1.1356 0 . fa 1 d 7 90.532 7

2.00 C.150 0.0120 0.7C7C C.C250 0. 0A03 0.25A6 0.1155 17. A029

1 A.OO C.l 5C 0. 1120. 7C7o C . 0 ? 5 0 t .13d3 1.0523 0 . A AO 2 71.6573

16.00 C.150 0.0120 0.7C7O r.o250 0.1510 1.1530 0. Adbl 7/.7i.‘td

18.00 C .1 50 0. 112 0 0. 7C7o 0.L250 0.1632 1 .C69

0. 5 30 d d J . 1

m 9 20. Ou C.150 0.0120 0.7C7C C. C2 50 0. 1752 1 . 33 fa 7 0.5757 c9 .

m j 7 2 2.00 C . 1 5 C 0.1120 0. 7070 C.C2‘-0 U.ldfa9 1.^232 0 . 6 Id 7 9 j . 559 1

2.00 C. 15C 0.1120 0. etfac c.0250 0. 037fa> 0.2673 0.1155 1 7 . b5M A 1^.00 C.15C 0 . n?o 0. fa 66

C . 6 2 5 V.' 0.1295 1.195d 0. AA j2 7t. r7.a

Ifa.OO C . 1 5 C 0. C120 0 . fc f 6 6 C. 02^0 0. 1A12 1.3133 0 . A b b 1 7t . 9aa 5 18.00 C.l 5C C. 1120 0 . fa t t w r .C25 v7 0. 1527 I.M217 0. 5 JO d d M . 6 ^ 3 0

20 .Cw C.15C 0. 0120 O.tt tc c. 02 “'-c 0 • la j 7 1.527A 0. 5737 9v. . :'i9A

22.00 C.l 5C 0. 112 0 0. bfat t i .o?*^0 0. 1 79^ 1 .o2 7b 0 • b Ic 7 95 . 1 7a

2. CO C. 15C 0. 0123 0.9619 C. C250 0. C365 0.3073 0. 1155 17. 7 j t3

lA.OO C .15C C. 0120 0.<'*6 59 C .6210 0.1289 1.25AI 0.88O2 73. 1 a 7 3

1 b . 0 0 C. 15t 0. 0120 0.9M9 r.c?5o 0. 13o8 1.8067 0. 88bl ?9 . 5 9 j 8

1 o .00 f . 1 5 C 0. 112 1 0.9t 19 r . ^ 2 j U.1m73 1.5287 0 • 5 3u y d 3 • 1 a ^ 3 2 0 . C 0 C . 1 5 C 0. 112 0 0.9#^ 59 C.w250 t • 1 5 7 b 1.O802 0. 5757 Mi.. 5 7 3 2

2 2. CO C.l 50 0. 1120 0.9659 C . 1 2 5 u 0 • 16a 3 1.7889 0. 6 I'd 7 95 . 1

2.00 C.llC 0.1120 0.9962 C .( ?‘=0 0 . 0 3 62 0.3123 0. 1155 1 7 . : 1 3 J 18.00 0.150 0.1120 0. *> *-62 « .02*^ J 0.1237 1.309J 0.8A02 7 3 . 3 2 w J 16.00 C .15C 0. 112 0 0.9962 r. u2*=o 0 . 1 3A 9 1 • M 3 6 o 0 • A 8

> 1 7m . 7 a J 3

1 •• .‘-.6 C . 1 5C 0. 11 !0 0. ^9t i. C . 6 ? S a b . 1 8 3

'< 1.358a 0 . 5 3a b c 3 . 3 7 a 3 20.00 C.150 0. )120 0.9964. 1 . l2 5 w . 1 3 a 8 I . a 7 1 8 0.573? 9 X . 7 a 1 J 2 2.00 ('.156 0.1120 0. 9t-62 C.6?5l 6 . 1666 1.7501 0 . 6 1 0 7 9b. ;9_. i

81
< DI/ - r. 4 S ' » PLY C F ; 1 f.KA I N T L C H C.'CTkY NuP^A L PIPl Lrs:

SL' PF s L .. ^ r f ^.Y L* t P T M ENtRCY depth NOk.-AL ju-

( S If.) ( S 1 > ) ‘‘ATI .'j• t / Li • rt. M/0. L/ii,

0.15C C . Tl .! J 0 . r ' F c f . Cl 2

j

0 • oi>t)0 O.i.^ 13 0. 1A^9 1 0 . 0 7 J i :o r.ibc L . T 1

.• ' • ' * i let. c . ( 1 :

* o. 1 132 0 . 1) V 7 *t 0 • :> 7 J H 6c. A 7 y J

. 0 C . 1 ic 0 . r. 2 0 0 • <r ‘ t c r . cl r s c • 2 i i. 0.o077 v) • o 3i 3 7 V. . 7 y - 3

r. , f • 1 b L . T l 2 J n f . • ^ ,

1 ^ ^ . 1 ] ?

-’ C. 2 2‘#a 0 • 'j y ^ A J. b 7 ^ . > J i J 0 c . u c C . U 2 -y

"> “ fc • a: . c c r . c : : > ^v. • 2 A D 0 • r// r : } J . / 1’ J ^ 7 7. ' 1 J 9

C . 1 s c C . 312u P

• c C

V • ^ V.. w C . c 1 ’ ^0.263^ 0. 1

j. dl2 0 o C . ^ :> i. 5

:C J ( . c C’ . 1 V3 C.b CCC r.^] •

. C • 0 A ^ c 0.2C71 0 • 1 A <1 9 19. i Oi. 1 0 0 C . 1 bC c. 31 :) 0 . t' C c C C .1 1 j b U. IbbZ 0.OA30 U. b7u cJ 71. 3b32

C J ( . 1 bC C . ^ 1 j 0 . b f u • . ' 1 ^ - C . 1 c V c 0.92 1 4 0. o 34. 3 7o. i .7 2

J c . i e c t . 3 1 2 J 0 . * e c C . V Ob w . Ic db 0 . 'y 9 6 D 0 . b 9 c 9 CO. 39^2

J \J C . i b C 1 ^ 1 > c . t ( c c t . L I C • 1 » c.' 9 1 « \j(i 'i J •J • 7 b J ^ cr9 . 'i ^ J J 30 C . 1 b C c . 3i: :• 0 . b (. L c (.Cl o . 2 I J 1 1 . c 3 5 b U • Ty 0 o7 . 2 <9 J

0 0 C . IbC 0. noo 3. 7C7(. c .cl *> t 0.0^ 9

0.^::-Ab u • 1 9 *» '9 lb. bb2 b

C • i ^ c 9> • ^ y y n, '3 . / C / o c . c 1

“» (. C. 13^3 1 . Jr23 0 . b 7 0 c 77. 3 22 i 0 J C . 1 b C c. : 1 2 J 3 . 7 ( 7 C

<‘ . c ! c . i bi

1. x330 0 . b 3 2 3 Co. J ibi

0 C .1 bC c. '^123 0. 7C 7c r . c 1

*? C • 1 i) J 2 1.2991 0 . o ‘9 2 9 o*t • 3 y_ 9

0 L . 1 b C c3 ] 2 j 3. 7(. 7C c . 1 1 0. 1732 1. dJ -.7 0 . 7 b b 9 o c . 3 b J 9

c- 0 t . 1 b C 0. ) I

'• 0 J . 7 c y C

f 1 1 • V' «. ^3 o . 1-99 1 . 9 2 3 2 J . ^ 1 c 0 9o .

' 0 J 2

0 0 0 . IbC c. 012 0 0 . f. ( ( C ( • c 1 5 0.037b 0.2c 73 0.1999 19. 0 9 b u

• * V.; c .1:1 0 . 3

: . b . c f t c f • w 0.12/5 l.i.932 o . 5 7 o o 2b. : j 3 2

V

‘ V c . 1 b. C c . : 1 2 J V . f t ( c

r

1 0 • 1 9 1 2 1.3133 0 . 6 3 w 3 *T • b 9 > > c . : b c c . 2 4 - 4. 0. < ( f 0 C . .. i T 0 . l:-c 7 1.9.: 17 U . b 92 9 C 0/ • 3oI 7

. 'J c . o b c c

3 L 2 : e c

r • o 1 4. O’ . 1 o 3 7 1. ^2 79 0 . 7539 c. 7. _ ) b

L v' c . 1 b c o « 212 3 0. b f r.C ( • ^ o' . 1 7 b 9 1 .c2 7t. 0 • 312 0 1 O c .

' 2/2

c . 15 C r

«

1

^ 4. r ^ :.9t r r

4.4 / c . c

2 C . 0 3 c 3 0.32 73 0. 19 9 9 ^ 0 « 0 J - b

-o' c .: 5c V- • 31 ' 0 3 . b’ ( bO f .c I

"7 ^ u . 1 29 / 1 .2^91 0 . 57. d r/. : 3*1 0

Co f . lb c 0. '' 1 > 3.9^, b 9 r .c i O. I3r;9 1 . tC* f. 7 0. b 3 2 3 c c . 9 1 4. b ou c .1 bC 0 . 31 if J 3. f 9 ( .cl . c • 19 7 3 l.bc ^7 cf . b J 9 o9 . ’.,37 4 C J r .itc c

3 1

> b t tb C . c i p c. 1 .» 7 c 1 . b9 0 2 \J . -7. C J / d

“* •> c .1 bC u. 31 J C' . 0

b 9 c. c : V . 1 b 3 3 1 . / 9 9 9 •J . -12 0 ICb. , •; > V

cu C . 1 b C C . 1 1 2 0 0 . ^ C 1

C . C 1 2 b C. :3b2 0. bl2 3 \J • 1999 2o . 4. I b I

'? 0 C . 1 b c •o . 3 i 9 r .

Y t Vi. C • 1 2 J 7 1 . i ; ^ 0 0. 5 70 - w C • 9 4.

f

- .J ( . i b C c. n2 ‘) >.*.•‘•'1 2 f . i. 1 2 b (y . 1 3-»9 1 . 1 3 c b 0. o3^ 3 0 • y ~ )

J C . 1 b C C . ; L

’ 3 ) .

' ‘ f < t .

1 > . « i f V . *. */ V

•' 1 . b ^ 0. 59.. V 9o . c / b J ( . 1 b (

t ^ • .y • 4 ^ 4«

' . b ‘ r 4 c

1 * 1. C • > o . 1 -’.9 . . o7^'9 u • 7 b 3 9 c / . /* 4 J L J C .1 5c c- . ) 1 : . ‘.'9( 4. ( . V. 1 c • i 'J O f. 1 . 7 T 0 1 0 • - 1 c • y X ^ ' • 7 J. 7

82
FLOW DIA. MASN. SUPPLY ruiM GRAIN flow Ef4TRY NORMAL PIPt. Ll<CTH to

L/S. C3EFF SLC PF SLOPr FNTkV DEPTH ENERGY DEPTH norhal depth.

(SIH) (51NJ RATIO H/L. n. H/0. L/D.

2.00 0*160 0.0120 0 • 2 5 E c C .C'l 67 0. 0!?60 0.1613 0.132 0 17.7316

lA.OO 0*160 0.0120 0.25tt C.C167 C. 1V3 2 0.3576 0.6U2 67 . 70o 6

16.00 0.15C 0.3120 0 . 2 ! F fc 0.C167 0.2116 0.6077 0. 6b69 73.2216

1^.00 C.lt;C 0.0120 0.26tfc (.0167 0.22'VA 0.6666 0 . 619 o 7o . J 20.00 0.160 0. 0120 0 . 2 6 b E C. Gl 67 0 • 2 Aob 0.6^450 0. 6726 8^ . 3^ 3 3 22. Ou 0.160 0.0120 0.2 6bc C.olb^ *'-‘‘0.263 6 0.7617 0.726 1. 06.9-^27

2.00 0.15C 0.0120 0.6CCC C.0167 0.0668 0.2071 0.1320 lb . 8 1 56

16.00 0.1 6C 0.0120 0. t CCO C .G167 0.1562 0.8630 0. 5112 72.5676

16.00 C . 1 6 C 0.0120 0.6 CCO 0.C167 G . 16-^6 0.9219 0.5669 7 c . 5 7 0 ^ 18.00 C.I5C 0.012 0 0.6CCO C.C 167 0.1836 0.9966 0.6196 tf j • 97o 2 20.00 C.160 0. 0120 O.t COO C.C167 0.19o9 1. 0683 0.6726 be. 7131

22.00 0.1 6C 0. 0120 0.6CCC C.i. 167 0.2101 l.i.356 0.726 1 92 . 7 io

2. CO C.16C 0.C120 0.7C7C C .0167 0.0603 0.2666 0. 1320 19. 28o5

I6.ee 0.160 0.0120 0.7C7C (.0167 0. 13b 3 1.0523 0.6112 76. 7 i t 3 16.00 C .160 0. 3120 0 . 7 C 7 C O.U 67 0.1510 1.1630 0. 6b5"# • il-J 'i lb. GO 0.150 C. 0120 0. 7C70 C.0167 0.1632 1.2691 0. 6 1-^

bo»t

20. OG 0 . 1 5 C C. C120 0.7C7C ( .Ll 67 0. 1762 1.3387 0.6726 91. 5 J 3 0

2 2.00 C.I 60 0.0120 0. 7C7C 0.0167 0. l8o9 1.6232 0.7261 96.7536

2.00 0.15C 0. C120 o.eeec C.C167 0.0378 0.2C73 0.1320 19. 6 30 3

16.00 C.I 60 0 . T 1 2 0 0 . b f 1f .01*^7 0.1295 . 1.195b 0.6U2 76. 0 72 3

16.00 C. 16C C. 3120 0 . fe ( 6 0 C.C167 0. 1612 1.3133 0.5659 86.2333

1 8 .00 C.16C 0.0120 0. bbbO C.w 167 0. I6e7 1.6217 0. 6196 bo. 9 3 J 3 20.00 0.16C 0. :i2o 0. ctbC C.L167 u. 1637 1.3276 0 . t> 7^ 6 9l i 7*0 / vj 22.00 C . 1 5 C 0. 3120 O.bttO (. . C 1 6 7 0. 1766 l.o27b 0. 7261 29. lLi.7

2.00 0.150 0. C120 0.9(69 C.0167 0.0 3b

0.3073 0. 1320 19,6668

16.00 0.160 0.9120 0.9t5S r,C167 0. 1269 1.2861 0.6112 77.2913

1 0 . C 0 C.160 0,0120 0.9669 C.0167 0. 13b6 1.6067 0.5669 9 1 , 6o6 0

13.00 C.16C C.0120 0.9669 ( .0167 0.1673 1.5267 0.6196 80.1969

20.00 C.160 C . 3 1 2 ‘J 0.9669 C. 0167 U. 16 7b 1 . o6 02 0.6/26 91.2/33

22.00 C . i 6 C 0.0120 0.9669 r .L 167 u , l6o 3 1.7669 0.726 1 ^ 0 . '3 7 3 y

2.00 C.i5C C.0120 0.9962 C.C167 0. 03b2 0.3123 0. 1320 19. 6 -.'>3 16.00 0.1 6C 0. 1120 G .

'

> 9 6 2 C. U167 0. 12 17 1.3090 0.5112 77.7 ij J 16.00 C.15C 0.0120 0.99t2 C.0167 u . 1 3't'/ 1.6360 U.5639 93 . 9 L J J

1 . 0 0 0.160 0.0120 0. 2 ( .01 67 0 . 165 9 1 . 5 3 6 T 0. 61 y b 8 *> . 9 7 > 3 2 C . 0 0 C . 1 6 C 0. n20 0 . 9 ( 2 r . 0167 0,1 3;>6 1 .\>70 6 J.o 726 9 i . i V , 3 22. Ou 0.160 0.1120 0.9962 0.6167 0 . Ib06 1. 7bOl 0.726 1 8 «•

83
FLOW OlA. HAi.H. SUPPLY OPAIN DRAIN FLOW ENTRY NORNAL PIPE length

L/S. COtFF Slope SLOPE entky depth ENERGY depth NORflAL OEPTr

CSIN) (SIN) RAT 10 H/D. rt. H/D. L/0.

2.00 CW150 0.0150 0.25E8 C.C500 C.0633 0.1100 0. 1068 8.6502

1^.00 0«150 0.0150 0.256b C.0500 0.2230 0.5236 0.502 1 33.6599

16.00 0.15C 0.0150 0.25cb O.C^OO 0. 256b 0.5601 0.5536 3 8 . 8 j b 7 ltt.60 C.13C 0. Ol^O 0. 25fct C.0500 C.2678 0.5959 0.535 1 51.5185

20.00 c.ito 0. 0150 0.256b C.U500 y^*>0 . 2 do 3 0.5277 0.5239 55. 5238

22.00 0.1 50 0.0150 0.2566 C.C500 0.30o3 0.5568 0.5630’ 56.9523

2.00 0.15C 0.0150 0.5CG0 C.0500 0.0515 0.1597 O.lOod 9.6052

1^.00 0 . 1 5 C 0.0150 0.5CCC 0.C500 0.1801 0.6357 0.5021 39.6793

16. CO C.150 0. 0150 0.5tt 0 C.C500 0. 1969 0.o953 0.5536 53.3195

13.00 C.l 50 C. 0150 0.5CCC 0.0500 0.2133 0.7592 0.585

56 • 60o 2 20. CU 0.150 0.0150 0.5CCC C.0500 0.22V1 0.8015 0.5239 59.6710

22.00 C.i 50 C. 013 0 0. 5C0C C.C500 0.2559 0.3595 0.5630 52.397 ?

2.00 0.150 0.0150 0.7C70 C.C500 0. 0562 0.1953 0. 1068 9. 9902

lA.OO C.l 5C 0.0150 0. 7C7C C.0500 0. 1603 0.7922 0.5021 51. 37t3

16.00 0.150 0.0150 0.7C70 C .0590 0.1732 0 .8662 0. 5536 55.1762

1 8 .GO C.l 50 0, 015 0 0.7070 C.C500 0.1896 0.9361 0.585 1 58.6256

20.00 0.150 0.0130 0.7C7C 0.G500 0.2037 1.0008 0.5239 51.8258

22.00 C.15 0 0.015 0 0. 7C70 C.0500 0.2175 1.0636 0. 5630 55.7185

2.00 0.150 0. C150 0. 6660 0.0500 0.0535 0.2201 0.1068 10.1883

i-^.OO 0.1 50 0.0150 0. ettt C .0500 C.159a 0.9021 0.5021 54.2382

16.00 0.150 0. 0150 O.bfctC C. C500 0. 1637 0.9865 0.5536 5o. 1523

18.00 C.150 0.0150 0 . 6 6 1> 0 0.0500 0.1771 1.0663 0.539 1 59. 679 2 20.00 C.15C 0. 3150 OmCttO C.05 00 0.1901 1.1533 0.5239 52.9797

22.00 0.1 50 0.0150 0. 666C C.0500 0.2028 1.2157 0.5630 53.99-#!

2.00 0.150 0.0150 0.965*9 C.0500 0.0520 0.2350 0. 1068 10. 26-# 9

!*» .00 C.15C 0.0150 0.9659 0.C500 0.1557 0.9t>57 0.502 1 52 . 6 86 0

16.00 C. 150 0.0150 0.9659 C.0500 C. 1578 1.0582 0.5536 5o . 6326

18.00 C.l 50 0.0150 0.<^659 0.0500 0.1708 1.1551 0.5851 50.2036

20.00 0.150 0. 0150 0.9t 59 C. 6500 0.1832 1.^270 0. 5239 53.3570

2 2.00 0.15C 0. 0150 0.9659 C.0530 0. 1935 1.3051 0.5630 56. 3o2 5

2.00 0.15C 0.0150 0.9962 C.0500 0.0515 0.2397 0. 1068 10. 318o

1 A .00 0.15C 0.0150 0.9962 C.C5C0 0.1532 0.9839 0.502 1 52.8078

16.00 0.150 0. 0150 0.9962 0.0500 0. 1365 1.0775 0.5536 5o. 7593

19.00 0.1 50 0. C150 0.9962 C.650J 0. 1691 1 . i 660.589 1 5o. J9r 9

20.00 0-. 1 5 0 C. 0150 0.9962 0.6500 0. 18i.3 1.Z527 0. 5239 5 3 • 7 i J 3 22. OJ 0.1 50 0.0150 0.9962 0.0500 0.1935 1.3307 0 • 563 0 50.7237
FLOW EU. hANN, SUPPLY TF/IN DRAIN flow Entry normal PIPc LtMGTH T(

L/S. OEFF SLl' Pf SLOPE ENTRY DEPTH energy . DEPTH NOkflAL JcPTH*

(SIH) (SIM) RATIO n/0. H/D. L/O.

2.00 0«1SO 0.0150 0.25tfc C.C250 C.0&B3 0.1100 0.1337 10. 7377

14.00 0«150 0.0150 o.25ee C.C250 0. 2250 0.4236 0.5200 41.1627

16.00 0«1S0 C.0150 0 .2 5 1 0 r.CP'-n 0.2466 0.4601 0.5767 44 . 340 0

1 3.0U O.ISC 0, 0150 0.2 5t6 C.U750 6 • 267d 0.4940 0. 629 4 4c • 62 7 J 20.00 C.15C 0. 0l?0 0.25fcc C.U250 0.23b3 0.5277 0. 66 j 1 49. Oo9J

22.00 0.1 5C 0.0150 0.25tb C.C250 0. 30b

0.:>So6 0. 736 8 51 . 656 3

2.00 0.150 0.0150 0.5CL0 C.0250 0.0515 0.1597 0.1337 11. 55ul

14.00 C.l 50 0.0150 0.5CCC O.C250 0. IbUl 0.6357 0.5200 44.7311

16.00 0.150 0.0150 0.50C0 C.C2*10 0. 1969 0.6543 0.5757 4o . 2 biO

13.00 C.l 5C 0. Ol6U 0.5CCC C .0250 0.2133 0.7492 0.6294 5l92 7o

2 0.00 C.15C 0.0150 O.t 000 (.02 50 0.2291 0.3015 0.6631 5 3. 7 0 j o 22.00 0.150 C. U50 o.scco C.(;250 0.2449 0.6494 0.73c 8 5c . 4 6 f

2.00 C.150 0.0150 0.7C70 r. c2*^o G . 04o2 0.1953 0.133 7 11.9140

14.00 0.15C 0.0150 0.7C7C C. 025J 0.1603 0.7922 0.52J0 40. i4*»6

16.00 C.15C 0.0150 0.7C7L C.b2'^0 0.1762 0. 6062 0.5767 6 U . >>6 6 9

1 ».00 0.1 50 0.0150 0,7C7L C.l? 50 0.1396 0.9361 0.6294 54. • J c 7 7

20.00 0.150 0.0150 0.7C7C C.C?'^v 0.2337 1. j00« 0. 6831 55. 77o5

22.00 C.150 0.0150 n « ^ c 7 c C.0?5u 0.2174 1.0636 0.73o8 5o . 70i

2.00 C.150 0.0150 O.t trC C .02*=0 0. 0434 0.2201 0. 1337 12. 103 0

14.00 0.1 50 0. 0150 0. 60 0.0250 0 . 149 d 0.9021 0.5200 47.2074

16.00 C.15C 0. 015J 0 . L (. t C C .0250 u « I6d7 0.9864 0.5767 51.0013

15.00 C.l 50 0. C150 O.ftLL C .0250 0.1771 I.G663 0.6294 53. 9 J0 5 2 0 • C o C.15C 0. 3160 0 . 6 (•- L C c.crso 0.19J1 1.1433 0 . 6 b 6 1 6e.'91o ) 2 2. CO 0.1 50 0. 3150 0. tect C.0350 0.202b 1.2157 0. 736d 59 .91i

2.00 C.150 0.0150 0.9659 C.0250 0.042C 0.2350 0.1337 12 . 2o JO

14.00 C.l 50 0.0150 0. 9659 0.6250 0. 144 7 0.9647 0.5200 47 . 04:9 4

16.00 0.150 0. 0150 0.9659 r .0250 U. 1576 1.U532 0.5757 51.4567

1 r . 0 0 C .1 5C 0 . : 1 6 0 0. 9659 C.c2'C o • 1 7 j c 1.1441 0.62^4 54 . ^29 6

2C.00 r.150 0. 01 60 3.9659 C. 02*^0 0.1532 1.2270 0.6831 57. 4oi?

2 2 . 0 0 C.l 5C 0 . 0 1 6 0 0.9659 C . t ?

‘- 0 0 . 1 04 1.3051 0 .73o d 60.5247

2 .00 0.150 C. 3150 0.9962 (.0250 o. 041

0.2397 0.133 7 12.22 yJ

14 . 00 0.150 0 . 3 1 i 0 0.9964. C.C?‘^0 0.1432 0.9i39 0.5200 4 7 • 7 *1 9 ^ 16.00 C.15C 0. ni‘>o 0.9962 c.0250 C . 15o4 1.07 75 0.5757 5 i • 6 0-W

18.00 C.l 50 0.315'. 0.9 9# 2 C.0250 0 . loVl 1.1666 U.6294 54. 6721

2 0 . 0 j 0.16C 0.0150 C.9‘ 62 C.0 2‘'0 O.lbl

1.2527 0.68 J 1 5 7 . 6 4 *f J 22 .00 0.150 0. 315(3 0.9964: 0.0250 0.1936 1.J307 • J. 73o 8 60 , o 0 6 ^

85
FLOW OlA. HANN. SUPPLY OFAIM DRAIN

L/S. COEFF SLOPE SLOPE Entry

(Sib) (SIN) RATIO

FLOW ENTRY NORMAL PIPt. LENGTH T DEPTH ENERGY OEPTn N0RN4L JEPTti*

H/D, N. H/D. L/0.

2.00 0*15C 0.0150 0.2566 0.0167 0.0633 0.1100 0.1527 11.0444

1<|,00 D»150 0.0150 0.256e 0.0167 0.2230 0.4236 0.60o0 30.0321

16.00 o.isc 0.0150 0.256fc r.0167 0.246b 0.4601 0.6724 4U.1312

18.00 0.150 0.0150 <J.25Ct 0.0167 0.267b 0.4949 0.73o3 41.6353

20.00 0.15C 0. 0150 0.25fc6 C.0167 0.2bo3 0.5277 .0.8013 42.S9-y4

22.00 0.150 0. 3150 0.251b 0.0167 0.3083 0.5586 *0.8647 43.7873

2.00 C.15C 0.0150 0.50C0 C.0167. 0.0515 0.1597 0.1527 11. 84-«7

1^.00 0.15C 0.0150 0. 5000 0.0157 O.lSul 0.6357 0. 60o 0 41.6011

16.00 C.15C 0.0150 0.5 COO 0.0167 0. 1N69 0.6943 0. 6724 44 • 08 72

18.00 C.l 5C C.0150 0.5CC0 C. 0167 0.2133 0.7492 0.73o8 4b. 9458

20.00 C.150 0. 3150 0.5CC0 0.C167 0.22V1 0.b015 0.8013 47.5526

22.00 0.150 0.3150 0. 5CCC 0.0167 0.2449 0.6494 0.8 64 7 40.7473

2.0C 0.15C C.0150 0.7C7C C.L167 C. 0462 0.1953 0.1527 12.2030

14.00 0.150 0.0150 0.7C70 C.C167 0.1603 0.7922 0.6060 43.2469

16.00 C.15C 0.0150 0.7C7C C.C167 0. 1752 0. o6 62 0.6724 4b. 90^4

18. OU C.l 5C C. 315 0 0. 7C7C C.C167 0.1396 0.9361 0. 7368 47 . 925 9

20.00 C.150 0.0150 0.7C7C C.0lo7 0.2037 l.UOCb 0.6013 49. 67b

22.00 0.150 0. 3150 0.7070 C.C167 0.2174 1.0636 0 • 6o4 7 51.029J

2.00 0.15C 0. C150 0.866C C.L167 0. 0434 0.2201 0. 1527 12.3939

14.00 0.150 0.0150 0. 0 G.C167 0. 1498 0.9021 0.6060 44. 4383

16.00 C.15C 0.0150 0.6660 0. Cl 67 0. 1637 0.9864 0. 672 4 46 . 629

18.00 C.15C 0.0150 0. e 6.. C . Cl 67 0.1771 1.0663 0.7368 49. 365 7 20.00 0.150 C. 3150 0.8660 0.C167 0.1901 1.1433 0.8013 5o- 2755

22.00 C.150 0.0150 0. tt60 C.C167 0.2028 1.2157 0 . 86

7 52.2072

2.00 0.15C 0.0150 0.9659 0.C167 0. 0420 0.2350 0.1527 12.4929

14.00 C.150 0.0150 0. 9659 0.C167 0. 14t

0.9647 0.606 0 4b . 2b76

16. CO C . 1 5 C 0.0150 0.9659 0. C167 0.157O 1.05B2 0. 6724 4o. 9io 7 18.00 0.150 0. 3130 0.9659 C.wl 67 0.170b 1.1441 0.736b 5o . 1 56 3

20.00 C . 1 5 C 0. 3150 0.9659 C.C167 0.1832 1.2270 0.8013 50.571^

22. CO C.150 0. 0150 0.9659 0.0167 U. 1954 1.3051 0. 869 7 52. 5023

2.00 0.15C 0. C150 0.9962 0.C167 0.0415 0.2397 0. 1527 14..5213

14.00 0.150 0.3150 0.9962 0.C167 0.1432 0.9S39 0.6060 4b . 5 3i

16.00 C.15C 0. 0150 0.9962 P.C167 0. 1564 1.0775 0.6724 4o. 9 53 V 13.00 C.l 50 0. 3150 0.9062 C .Cl A7 0. InVl * 1.1666 0. 73o b 5 u . 3 7 J 3 20.00 0.15C 0. 0150 0.9962 C . 0 If. 7 0. 1313 1.2527 0.6013 5u.

22.00 0.I5C 0. 0150 0. 9962 C . C 1 6 7 U . 1 9 3 b 1.3307 0.664 7 52 . 9:,^ 7

ill

I

t

I

l(

1

1

I

I

1

1

1

I

1

'

l!!h

I'i 86
Flow OIA. MANN, SUPPLY CFAIM OMAlN FLOW ENTRY NORMAL PIPf LENGTH TC

L/S. C06FF SLf Pt SLfPF FNTKY Of PTH Energy depth NORftAL i^EPTH.

(SIN) (SiN) RATIO •/o. N. H/O. L/0.

2,00 0«150 0. 0150 0.2586 0.C125 0.0633 O.llCO 0. 163 1 10. 30o2

1^,00 C«150 0.7150 0.25fcfc C .0125 0.2250 0.4236 0. 67o 2 29. j i

16.00 C.ltC 0. 0150 0 . 2 1 fc 6 C.L125 0 . 24u6 O.^toOl 0.7534 29. *lo3

15. CO 0,150 0.7150 0.255c 0.0125 6 • 2c 7ti 0.4949 0.82o7 24.7 72 7 20.00 C.15C 0.7150 0.2566 C.C125 0.2363 . 0.5277 • 0. 3999 29 • 013 0

2 2.0U 0.1 50 0.0150 0.25EC o.ti:? O.30J3 0.5535 0.9722 29.0737

2.00 C.15 0 0. 0150 0.5CCC C.Cl 25‘ 0.0315 0.1597 0. 1631 11. 1153

14.00 C.15C 0.0150 0.5COC C.Cl ?5 o.ieci 0.6357 0 • 6 73 2 32. 2441

16.00 C.15C 0. 3150 0.5OC0 C.G125 0. 1969 0.6943 0.7534 34. 53t6

13.00 0.1 50 C . 7 1 5 0 C.5C(

C.6125 0.2133 0.7492 0.326? 37. 4x75

20.00 0.150 0.7150 0.5 C CO C.C125 0.2291 O.dU 15 0.8999 3 i . 4 2 74

22.00 C.l 50 0. 7150 0.5CCC C.t'l25 0.2449 0. 0494. 0.9722 3 4 • 0 u « 7

2.00 C.15C 0. U50 0.7C70 0.C125 U. 04o2 0.1953 0. 1 6o 1 li. 4320

14.00 C.15C 0.7150 0. 7C7C C.tl?5 0 • I bO 3 0.7922 0 • 6 7 w> 2 33.35>7

16.00. 0.150 0.0150 0.707C C.L125 0. 1752 0.C662 0.7534 3o . 2 6u

1 e.oc 0.15C C.7150 0. 7070 0.0125 C.1S96 0.9361 0.32b7 37.3304

20.00 C.15C 0. )150 0.7070 0.6125 0.2037 1.0003 J.3999 31. 32 J3

22.00 0.150 0.7150 0. 7070 C.C125 u . 2 174 1 .063b 0.972 2 35. 6ii

2 .00 0.15C 0. 7150 o.etto C.0125 0.0434 0.2201 0. Ibc I 1 i • b ?6 2

1 4 • C G 0.1 5C 0.3160 0 . f 6 1 6 C.C125 0.149c 0.9021 0. 67j2 3 3. 337 •j 16.00 C.15C 0. 3150 0. bOf C f .0125 0 . Ib3 7 0.9b64 0.7534 37. I 32

1 b . CO C.l 60 0.3130 0 . b 6 1 - 0.6125 0.1771 1 . 0u63 U . 62o 7 3 7 .

2 0 . 0 J 0.15C C. 7150 O.EObC r.ci?5 o.19j1 1.1433 0.6999 29. 7346

22.00 0.150 0. 3130 0. 6 1 6C 0.0126 0.2 Ox 3 1.2157 0.9722 36 . 4 33 0

2.00 0.15C 0.0150 0.9659 C.Ol 25 0.0420 0.2350 U . 1 bo 1 1 1 . 3 ^ 1 14.00 0 . 1 5 C 0.7150 O.^U 59 C.Cl 25 0.1447 0 . 9 0 4 7 0. 67x 2 34. J2j1

1 6 • 06 C.15C 0.3150 0 . 9 1 5 9 C . C 1 ? 6 6 • l67b 1.0682 0. 7534 3 7 . 5 v-< > J

1 £ .CO 0.1 5C C . 3 1 5 0 0.<t59 C.C125 0 . 1 7o'b 1.14 4 1 'J , b 2 o 7 3«-. JJ6 7 20.00 C.15C C. 3150 3.9 tt

C.Cl? 0. 1-532 1.2270 0 . >^9 2 7. 6 *

-»

2 2 • Ou C.l 50 0.3160 0.9f 59 0.61 25 0. 1954 1.3051 0 . 9 72 2 3o . .^2 6 1

2.00 C.15C C. )l60 C.‘'9t 2 0 . Cl ? 6 u, 04l

0.2397 0 . Ibb 1 11. -» .7 6 3 1 4 . Oo C . 1 5 C 0.3150 0. A4tx C.6175 u. 143x 0,->o39 0»b7^2 3*t . - 6

1 6. O'J r.i5c 0. 3160 0.996^ C . C 1 2 5 u . 1 5 b4 1.0775 0.753 4 3 7 . fc f 6 7

1 .f-b ( .1 5C 0.3150 <'. 9Cf i r . c 1

•» > 0. If) /I 1. iobb J. 0?b 7 3c . 1 1 . 6 26. Oj r,i5c 0.3160 0.99C.X C.UPe- 0 , 1 -i i 3 1 .2627 0. S9 #9 2 c . 7 1 ». y 2 2 . u J (.15 6 0 • 3 1 5 0 0.9 9( ^ C.Ol 25 0.1936 1.3307 J.97x 2 3o . 9^^ 0 'f

87
Flow ru. HASH. SUPPLY Df AIN DRAIN FLOW ENTRY NORNAL PIPE LENGTH

L/S. h. COEFF SLOPE

(SIN)

SLOPE

(SIN)

ENTRY OfcPTH

RATIO H/C.

ENERGY

n. depth

H/0.

nornal depth

L/D.

II

III

2.00 0«150 O.OliO 0.25bfc 0.0500 0.0710 0.0906 0.1201 6# 99o 5

lA.OO 0.150 C.Ol jO 0.2586 C.0500 0.2551 0.3919 0.9597 25.7216

16.00 C.15C 0 . 0 1 8 0 o • ft rr C.0500 0.2800 0.3707 0.5083 28.05x7

18.00 0.1 5C 0. OHO 0. 2 5tC.0500 0. 30^0 0.3987 0.5552 29. 7738

20.00 C.160 0. 0180 0.2586 C.C500 0. 3279 0.9238 0.6021 31. 7193 i i 22.00 C.15C O.OIjO 0.2566 C.C500 'b'.3506 0.9905 0.6979 33. 39J

1

1

''1

1 2.00 C.150 0.0130 0.5CC0 C.C500 0.0577 0.1296 0. 1201 7. 1913

1^,00 C.150 C . 0 1 3 0 0.50C0 C.0500 0.2035 0.5071 0.9597 26.8618

16.00 0.15C 0. Q180 0-50CC C-0500 0.2226 0.5527 0.5083 31.2798

10.00 C.150 o.niio 0.5CCO C.C900 0.2916 0.5952 0.5552 33.2359

1

1

jl

1

1

20.00 C.15C 0. OHO 0.5CC

0.0500 0 . 2600 0.6397 0.60235.9291

22.00 0.150 0.5130 0. 5000 C .0500 0.2781 0.6719 0.6979 37.2683

2.00 0.15C 0.0180 0.7C7C C.0500 0.0518 0.1579 0. 12G1 7.9375

l^f.OO 0.1 50 0. 0130 0.7C7C C.C500 0. 1810 0.o2«3 0.9597 29.9 90 2

16.00 C.150 0. 0130 0. 7C7C O.05QO 0.1981 0.6863 0.5083 32.6/87

18.00 0.1 5C 0.0130 0. 7C7C C.0500 0.2195 0.7913 0.5552 39. 7721

1 20.00 C.15C 0.0130 0.7C7C c.C5no 0.2306 0.7920 0.6021 37.07jJ

22.00 0.1 50 0.0130 0. 7C7C C.C530 0.2963 0.8900 0.6979 39.0296

j

1

1

2

2, 2.00 0.15C 0.0130 o.etec 0.0500 0. 0936 0.1777 0. 1201 7.5925

l^.CC C.150 C.0130 0 . c 6 6 0 C.C500 0.1691 .0.7157 0.9597 30.8337

16.00 0.15C 0. 3130 0.6C6C 0.C500 0.1399 0.7613 0.50o3 33.92od

18.00 0.1 50 0.0130 0. btt 0 C.C500 0.2003 0.8930 0.5552 35.58/7 i 20. CO 0.150 0.0130 O.f 6tc C.050C C.2152 0.9J13 0.6021 37.99V3 ‘ 22. 00 0.150 0. )l 1 0 o.ecfcc C.C500 0.2296 0.9537 0.6979 39.9792

1

if:

1?

2.00 0.1 50 0.0130 0.<5t5S C.C500 0.0970 0. 1896 0.1201 7.6719 '

23

22 1<».00 0.150 0.0130 0.<»fc59 C.C500 0. 1632 0.7653 0.9597 30.96/8

16.00 C.15C 0. 0130 0.9t59 C.C500 0.17t3 0.6371 0.5083 3 3 . 8 J 8 0

2U 18.00 C.15C C.0130 0. 9f 5S C.C50U 0. 1930 0.9097 0.5582 38.0J02

20.00 C. 150 0 . 0 1 d 0 0.9C59 C.O500 0.2079 0.9679 0. 602 1 38

39h 8 . 22.00 0.150 0. niu 0.9659 C .050 0 0.22x3 1.0231 0.6979 90. 9980

^

16

li

2.00 0.150 0. OlviO 0.99L2 C.C500 0. 0965 0.1929 0.1201

i* 7.0929 ‘

20

‘2 1^.00 0.150 0.0130 0.9962 C.C500 0.1615 0.7808 0.959 7 3 1 • 0 o 7 9

16.00 C.15C 0. 0130 0.99t2 C.0500 0.1769 0.8598 0.508 3 3 3 . 9 i. o 7 ,

2H 18.00 0.1 5C C. )13 0 0.996^ C.0500 0.1910 0 . 9 2 ? 9 0.5552 30.112 3 20.00 C.150 0.0130 0.99^2 C.C500 0.2052 0.9872 0.602

3o . 5 i / 7 22.00 C.15C G. OH J 0.9962 C.0500 0 .21o9 1.0500 0.6979 90.8895 16

l6

88
FLOW ru. «ASN. SUPPLY DPAIN OPA IN flow ENTRY ttORNAL PIPE LENGTH

L/S. tm CJcFF SLCPE SLCPE ENTRY DEPTH Energy depth normal GcPT

ISiN) CSINI RATIO h/C. n. H/D. L/0.

2.00 0. 0130 0.25Eb C.C250 0.0710 0.0906 0.1508 7.3353

lA.OO 0*1 so 0. )110 0.25EO 0.C250 0.2551 0.3Al<i 0.5972 25.3315

16.X0 c.isc 0.1130 0 . E 5 b c ( .C250 0.2300 0.3707 0. 6616 2o • 61o 7 18.00 C.liO 0. 113 0 0.25£fc 0.0250 0 . 3 0<» u 0.39H7 0 • 72o I 2 7. 3'j05

20.00 O.lbO C. OIRO 0 . 2 5 £ b C.u2 50 0.3270 0.5235 0. 7d36 2b. 55 d9

22.00 O.ldC 0.0130 o.rtefa C.C250 . 3 50 8 0.5585 0.3511 • 29. 1350

2.00 0.15C 0. 0130 0.5CCC C.0250 0.0577 0.1296 0.1508 7.95b5

lA.OO C.lbO 0.0130 0.5CCC C.C250 0.2035 0.5071 0.5972 26.0321

16.00 C.15C 0.0130 0.5 OCC O.C250 0. 2228 0.^527 0. 6616 29.5923

1«.00 i,lbC C.0130 0.5 C(

r.C25C 0.2<iib 0.5952 0.72ol 31.0135

20.00 C.160 0. 0130 o.5ect C.C2 50 0 . 2600 0 . o35 7 0. 7n ob 32. 0106

22.00 0.1 50 0.0130 0. 5CCC C.C'250 0.27<J1 0.6719 0.85il 32.5390

2. CO C.150 0.0130 0.7G7C C.0250 0.051b 0.1579 0* 1508

15.00 C.l 50 0.3130 0.7C7C C.0250 0.1810 0.O293 0- 5972 29.29 vJ

16. CO C . i b C 0. 01 3C 0.7t7c 0 .

2 5 0 0. 19dl 0. bti 6 3 O. 60 I 6 30.97d9

10.00 C.150 0.0130 0.7C70 C.C250 0.2155 0.7513 0.72ol 32 .52/2

20.00 C.15C 0.0130 0.7C7C C.C250 0 .2306 0.7920 O.70b6 33. 65 i

22. 00 C.150 0.0130 0. 7C7C C.0250 0.2563 0.b500 0.8511 35.617^

2.00 0.15C 0.0130 0 . 6 1

C C.C2 50 0.0586 0.1777 0. 15o8 0 . 3 7-^9

15.00 C.15C O.Ol^O 0 . £ t 6 0 C.C250 0.1691 .0.715 7 0. 5972 29. 9755

16.00 C.15C 0.0130 0 .6 cG C.C250 0. 1.359 0.78 13 0.6616 31. 7315

18.00 C.15C 0. 313 J 0 . £ 6 1

C.(2^0 0.20u3 0.O530 0.72ol 33. 35 J 7 20.00 C.15C 0. 3150 0 .

6 £ 0 C.L250 0.2152 0.9015 0. 78b6 39. 5319

22.00 C.15C 0.3130 0. £660 C.0250 0 • 2 29 1) 0.9507 0. b5l 1 35. 5 759

2. CO 0.15C 0.0130 o.<;(.59 C.C250 0.0570 0.1096 0. 1508 b . 55o 3 15.00 C.150 O.OISO 0.5659 C.C250 0.1632 0.7653 0.5972 30. 3153

16.00 0.150 0.01 3C 0.9t59 ( .6250 0.17o3 0.o371 0.6616 32.1153

18.00 C . 1 5 C 0. 0130 0. 9659 C.0250 6.1930 0.9057 0 . 726 1 33 . 760 / 20.00 C. 15C C. 0130 0.9659 C . 02 5 o 0.2075 0.9675 0 . 7 8 c 6 35.98^6

2 2.00 C.15C 0. 1130 0.9659 C.6290 J.2213 1.^2 01 u. d5 1

36 . U5 0 7

2 . 0 c C.150 C.0130 0.9962 C.C250 0.0565 0.1929 0. 1508 b. 5771

15.00 0.150 0 .

1 3 0 0.9962 C .C25C' 0 . 1615 0. 7:.08 0. 5972 3 C . 5 i. 3 0

16. Oo C.15C 0 .

1 i 0 0.9962 C.6?50 U. 1765 O.ci550 0.6616 32.22 3b

lb .00 C.150 0.01 50 0.9962 C . 2 9 j 0. 1910 0. i2 25 0.72ol 33 . 3 c J 7 20 . Oo f . 1 5 C C . 1 1 5 0 0.9Ot2 f .0250 0 .

Cl 3 2 0 . /o 72 0.7866 35.1151

22 .00 C.15C 0. 1130 0.9962 C.C250 0.21b9 1 .0500 0.85i.l 3o . 2 'j1 5

89
FLOW C 1 A • AANN. SUPPLY DPAIN DRAIN FLOW ENTRY NORMAL PIPE LENGTH 1 L/S. COEFF SLOPE

<Slh)

SLOPE

(SIN)

ENTRY depth

RAT iO H/0.

ENERGY depth

H/0.

NORMAL OcPTrte

L/0.

2.00 0.15C 0.0130 0.2568 0.0167 0.0710 0.0906 0.1725 6.5632

lA.CO 0.1 bC 0. OHO 0.2568 O.C 167 0.2551 0.3919 0.6978 15.1767

16.00 O.lbc 0. OHO 0.256c r.0l67 0.2800 0.3707 0.7759 16.7739

1^,00 O.lbC 0.0130 0.256t 0.0167 0.3DA0 0.3987 0.8521 16.10/9

20.00 C.lbO C. OHO 0.256c C .0167 0.3279 0.9238 0.9272 19. 2795

22.00 C.lbO O.OliO 0.2566 0.0167 0.3508 0.9985 1. 0000 15.33c?

2.00 0.150 0.0130 0.5GC0 0.0167 0.0577 0.1296 0.172 5 7. 1766

lA.OO ( .150 0. 0130 0.5CC0 C.0167 0.2035 0.5071 0.6978 22.3979

16.00 0. 150 0. 0130 0.5CC0 C.C167 0.2228 0.5527 0.7759 18.7391

1 8 .00 0.150 0. JHO 0.5CC0 0.0167 0.2916 0.5952 0.0521 l8« 88o0

20.00 C. 150 0.0130 0.5C0C C.0167 0.2600 0.&397 0.9272 10.1867

22.00 C.l 5C 0. 3130 0.5CCL C.C167 0.2781 0.8719 1.0000 17. -t7i 7

2.00 0.15C 0.0130 0.7C7u C.C167 0.0518 0.1579 0. 1725 7. 962 8 lA.OO 0.150 0. 3130 0.7C70 C.C167 0. 1-310 0.6293 0.6978 21.7122

16.00 C.l 50 0. OHO 0.7C7U C.0167 0.1981 0.O863 0.7759 19.31^7

18.00 0.150 0.0130 0.7070 C.0167 0.2195 0.7913 0.8521 20.309

20.00 0.150 O.OliO 0.7C70 C.C167 0.2306 0.7920 0.9272 25.0338

22.00 0.1 50 0.3130 0.7C7C C.C167 0.2963 0.8900 1.0000 17.995 1

2.00 C.l 50 0.0130 o.ettc 0.0167 0 . 09o6 0.1777 0.1725 7.6178

1^.00 C.15C O.OHC 0.6660 0.01 67 0.1691 0.7157 0.6978 21. >579

16.00 0.150 0.0130 0.6 tec 0. 0167 0.1899 0. 7813 0.7759 19. 3695

18.00 0.150 0 . T H 0 0.6660 0.C167 0.2003 0.O930 0.652

21.8153

20.00 0.15C 0. OHO 0.666G C. tl67 U. 2152 0.9018 0.9272 22-6173

22.00 0 . 1 5 C 0.0130 0. 6660 C.C167 0.2296 0.9587 l.OOoO 1 7 . dwn 7

2.00 C. 150 0.0130 0.9659 C .0167 0.0970 0.1896 0.1725 7 . 69a 5

lA .00 0.150 C . 3 1 3 0 0.9659 C.0167 0. 1632 0.7653 0.6973 22. 1258

16.00 C.150 0.0130 0.9659 (.0167 0.1783 0.8371 0.7759 19.2519

18.00 C.15C 0. Ol3v) 0.9659 C.Cl 67 0.1930 0.90A7 0.352 1 22. 1195

2 0 . 0 0 0.150 0. C HO 0.9659 0.01 67 O.2079 0 • 96 79 0.9272 22-2707

22.00 0.150 C . 3 1 > 0 0.9659 C.Cl 67 0.2213 1.0281 I.OOjO 17.5959

2.00 0.150 0.0130 0.9962 0.0167 0.0965 0.1929 0. 1725 7. 7199

lA.OO 0.150 0.0130 0.9«it2 C.0167 C. 1615 0.7808 0.6978 22 . 1 7dd

16.00 0.150 C.OHO 0.9962 0.0167 0. l/o9 0.8598 0. 7759 19.lS-a2

1 8.00 C.l 50 0. 0H^» 0.9962 0.C167 u. 1910 0.9229 0.852 1 22 • 193 j

2 0.00 0.150 0.0130 0.99t2 0.C167 0. 2052 0.9872 0.9272 22 . 2 I 0 O

2 2.00 0 . 1 5 C 0. OHO 0. 9962 C.Cl 67 0.2189 1.0500 l.OOJO 17.95)/ ^

90
APPENDIX 2

DESCRIPTION OF PROGRA^l PROFIT 2

91
Program PROFIL 2

This appendix presents a complete print out of this program together with

sample input data. The program was run on the NBS CBT Perkin Elmer 732

computer.

The program accepts data in SI units with the exception of flow rate which is

read in liters/second and corrected to m^/s within the program.

The program is effectively the first section of the hydraulic jump prediction

program fully described in reference [1]. For this reason no detailed flow

chart is included in this report.

92
1221

o o

o w o

rg ^ fS# ^ fsi ^ n: V N

% % % N %

% •% N' N N %

04 (St ^ f>4

f>4 ^ f\i f\4 ^ ^ -sj *N< *% ^ "V

**g ->j

«J •J ^ ^ ^ ^ j ^ ^ ^ ^ ^

N X 0 X 0 0 0 0 0 0 0 © 0 0 r* rv r>g '•g X c 0 X 0 X X e 0 0 0 0 0 0 X 0 X

Arf »N •N <*V « X c 0 0 X 0 r 0 0 0 r r

*% ^ ^g <% rw ''g X c 0 0 X 0 0 & c 0 0

(Si <N >4 w X o 0 0 X 9 o 0 0 0 0 0

fw f>4 % rvj <*g fSi % 0 0 0 X c 0 0 0 0 0 w

#v f\ fg tSd X X X 0 0 X 0 0 X 0 0 c 0 c c c 0 w C

‘X fg X <0 X 0 0 X 0 0 ' c 0 0 Q 0 0 W 0 w

^ T\ n m

c

^ ^ s> ^ s o s o » ^ 5 r ^ o o D o o r o c cor r o o o r or or 0000000

0 0 0 0 5 0

o o c ro

o o o

o o

o o

< < # < >r ^ ^ ^ ^ T ^ r ,r ^ *r -T ^ # ^ *r ^

^ ^ ^ -r ^ ^

*• » r « r r orxr.’orixr —

0-0 G .; c O <0 A wC o O W JD * * X c X j; X ® O ® X T* X

o

r c o c c o c ^ o o o o r> r o r o o o or 00 c © o c c o 00 or 0000000 o o o c r o

o c c

5

0 o o oo

oo

o

oo

o c o o

<s. ^

X X r i

*** O X X -

r» n r s X C X 1

' XX XX

X o XX

X o x r o r .-» XXX X

I ^ ^

o o 000000 or - ooo crorcoooro c c r c r c c 00 r o r r 000 00 00 00^00 o c c c c c. r o <- occcocorc0 0-5

g^ iT' A ^ ^ g>

JN ^^ 4

’' r

g^ r» ^ w*i X iT ^

• ^ ^ »Tv -.A

j*' r> y^ ^

J^r

^ .•

O O 000rorrpoo :*2 rorrr. *^^?r or r o r r o 00 00.' r ^ o c c r o o ' occcroccc,.. Orcocoo^c

: ^ ^ O ^ -V 'S > X X

CJ. ^ X ^ ^ ^ sc w o

W w X’ W U W

w> w w w^ow«^ww»wwx>w

00 %; so

X x> X X 0 X X A X ‘X X XX

X X ^

Or «X X X X X X X X X

X X «> XX

X X

X X

c r

C Ooo

o

o

0

oo

OCOCOCw o oOwwxot:r;.

W W W X W ^ O O O X ^ o o O O c ^ orow-^rr 3

o. c> c. c

a. G. a o> a. o. •:<<<<<<«3

^ <

^.Ok. A aa.AaA.AXo.A

« «

<

•* «t -t < « < -r

93
. f

SiATiH t

• C PROGRAM PROFILE CALCJUATES THE WATEk SURFACE PRLF IL£

c IN Supercritical flo^* frun an fmry comlition

C REPPcSFNTlNC TFRNISAL CINCITICNS IN A STEEP SUPPLY PIPE

C TO Tmc f STAf LiSFPf" U OF INF NOFfAL OtPT.M. IT. IS IJ dc

: NOTED THAT THIS TRANilTIUN CUES NOT ^ffgUikt A HYDRAULIC

Z JUffP mS tie fLCh IS SUPHkCPITICAL AT ITS FULLY

C JEVELOPFO CCPTH.

OlrtFNSION >l2*10C)tF(^,lOO)»IMM

JIrtENSION SIE> «EN<2,l JC)tLH iEtlCC)

MTECER ShAPt

J.*lN ON / C"lyF»L fCfC IN«SO*CAh fKt*t IT* mNLK ^*AR t'A *P fcR *FPM*t NE R S

C'inMOw/CN2/ SHAPE

CONhON/ChT/ 12

RcAn(ii ,702 )5 I-aPE

702 r.jRMATdi)

RE AO(<i . 120 ) Nk, NS* ICON

AO(A , 12UF *^ F*rtN

121 FuKr^AT { 3F.lC-.4i

•^-9.^1

IRUN.Q

12*0

300 IF ( IZ.OT.i) IM 12 J»I S I2-T2^l

IF( IZ.GT.2} 12-1

RtA0(^,i0'j)PL*SC,C,HC)NT,6N2

S( 12) =S0

C IF ICCN*1 THE FLOW AN^LTSIS IS J N AN INPuT cNERoY AT

: £.4T;RY to If f MLD iL !’>" PIFF* TFFk ^N2. S^tIlARLY THl cUSS

C :0EFFlCI£fH7 AT PIP= ENTRY rAY tF kXPRiSSEu AS A FaCTO-‘*GcN,

C /ALUE 0 TO l.C* TC RE nULTlPLUI k.r T-- t N2 IlKN.

C AS THE ENTFY FLOW QEPTH IS TC FF CALCULATED FxvjH EnZ^jFN

C 4>tO SCT E-SIL Lk Fl:r critical LEPT^S T-.E CC^rkCL TE-^n

C riCuNT IS SET TO 1.0. ThE OTHER PAnAiErERS REFEk Tb PIPE ^lDW

C RATE AND OIPEnSIOnS.

100 F JR'^AT ( 6Fi.C .*)

IF (Pl.EwO.o.C )CCTO )U

C PL-PIPE LENGTH B-WIOTH* FH-H/nNINO CjEFF* SO-SLOPc*

C J-FLOWRATC IN L/S TO IC USED IN P«»3/S* rCoNT-CCNTROL OFPTH

C SET TO 2FKL IF CRITICAL DEPTH ASSLHCO.

J»3/lC00.u

RHO'1000.0

DJN*®r A Z/S

:a.i*carhc

C PRJCRA.-I CuNTPLL DATA.

120 FJR.HATOIt)

C '4W-SI2E OF THE DH STEP IN SiNfSCNS p.UlE*nS-nJ.

C STEPS IN OEFTH CALC. .ICON CETLFHInES iHETnER EnEkoY

c Input or upstream slt’E is lsec* cfn is the energy

C wJSS factor for the pipe entry, IN EIT.rtR cNTRY CASE,

c enz-input energy to replace slipe if icon • 1 . IF (ICON.LO.l) GOTO 630

SOTO 6Sl II 650 EN2-OENAEN2

Call b0UN0(FN2*C,8*HA)

12-2

GOTO Id

651 CJr4TlNUE

IFIHCONT.EO. 1.0) con 17

;.)T!' i

* 94

17 £NGO»Gi N*t HOC

Call pton j ( e ncu *c, uh » j
4C0NT-HB “ CUNTINUF

JcTFRMlNATiO CF CRITiCAL AhC NCFhAL ^EPTHi. . rUS SECTILN CaLCULUES Till NLRI-AL ANJ CRITICAL OtPTH IN

£aCH pipe LEhCTh f IR .ATEk CCfPAflSPN TC TMF v.ONTii'JL ,cP7

I.<PUT.

CALCULATION f-P CRITICAL OcPTh,

JP*B

JN*0«0

IC-UP/2.0

CJNTINUE

CALL C ALC(f C L ) Ir (HCkI T ) j .A,ij

ON-HC

;aro t. JP»HC ^ HCN»(UP CN) /2*U ^ IF(A3S( (HCN-HC)/hC) .LE. 0.001) CGTC « <C«HCN

coin 7

iC«hcn

IF (HCGNT.l t.C. C )HC J>IT=«HC

CALCULATION CF N0F1#L DEPTH.

JP«P

)N*0.0

1.4*UP/2.

CJi'iTiNUc

CALL LALC(hN,CL)

IFCHNC-t-) 1C*11,12

)N»HN

;^To ij

JP=HN

i 4N=(up^(;> ) /?. c IF (A'iS ( i/J•^ ) ,lG .O.-Ci J LCTl Ih

:jto ^

iN = HN.'< CONTINUE

T-lIS SECTION PkfcPARES PGR THE P ELF I LE 0 ALLUL AT i ONS

if SORTiNu FLOWS faASEJ ON HFt SLC®E -NO THE nuRNAL AnO

CRITICAL OEPTH. values.

IF(HN.LT.nC) GOTO 50

1IL0 SLOPE.

IFtHCJNT.LT.HC ) GOTO <i 5

iUiCPlTICAL FLOW, HC04T CT. HL.

SIGN=-l.C

JH* (HCGNT-HN)/FLGAT IN 4

SOTO oO

iUPERCRITICAL FLOW, HCONT LT. hC.

SICN-L.O

JH* IHC-HCuM)/FLOAT (NN ) GOTO 60

STEEP SLOPE , hN LT HC.

IFCHCOnT.LE .HC

CCTT 55

SU8CRITICAL FLOW, HCONT CT hC.

SI CN-- l.O

OH- (HCUNT-HC) /FLOAT (N.N)

GOTn 60

iUPERCRITIOAL FLOW, HCONT LT HC.

i iUM»l .0

N2-NN*

)H- (HN-HCUF 1)/FLCAT(N!»
r»

o

.V

o

o

o

60 iL>0.0

IS-l

IF ( 12 .EQ. 1) tCTC 0<i7

<»HCOnT

:all calcu- .rt >

F.1«FPrt

If (IZ.CT.l)Ml^-l,ISI=f 1 IF( 12. FQ.2 )X Cl ,1S1 = 3.)

IF ( 17. GT.l )LE F C 12-1 . 1 v ) »H

IF ( 17. CT.l ) f h ( 12-i. IS) =r

IF ( 12 .FC. 2 ) C LTC U1

C

cc

9<t7 CGNTiNiJc

I'H? A?P'-cACF pipe LFMOTH rAY jF IF T:.kMNAL GCnGITI JnS

ASSUTtC. THIS Sf^CTIOw USES This GPTiLN 3Y CrcCi^lNC Tmc

PIPP NU^bFF , I 7 ,AND the VaH'F if ICTN -(‘MCH IS SET TO 2.

ri*HN

CALL C/LCC),LL)

ENCO=E'Hf^C

ic NT *r N eent=engc

^GT'T r^OC

13 CG'><TInUE

^aTFP S'JFF/C[ PFCFIL" CalLLL/TI'FS using illPiLl-S ^UL2

TJ rVALUATr TF E I^T•i:^>AL.

JJ *0 1*1. NS.

slo=sl

:s = is^ 1 H2*"CCNT^SlCr«uH«FL3AT( I»i)

1 3=HC J.nT»S I CN«f LTaT ( I » call CaLC(H.CL)

call CALC(H2.LL2)

CALL CALC(H3tLL2)

J < = 0 H L * C L 2 ^ . C * ) L 3 ) / 3 . C

SL*SL»CX

C»H2

call CALCi H.CL ) 3 * c N E K. G

F.i=F Pri X( 1 , I 5 ) =SL

JEPC I, IS)=H

IF (H. GE.0.97S«t ) GGTJ 90N

IF ( H. CE .0.97t «HN ) GOTO

30 continue

599 continue

xFIn-x(1,I5)

HF IN*H.N

Q*0 A1 000.

HENT* n£NT/E

riF lN*HF In/B

IF (Hf IN. GT.C. 999) HFlH-l.C

aF IN*X ( 1 1 S-1 ) ( C.) 7-j»NN-CEF (l,IS-l))*(X(l,IS)-X<l»iS-in/

I (OEPC I , I S )-r E P ( 1 , I S-l }

<F IN*XF IN/P

I RUN= I t UN4

iF { i-uN,t c . 1 ) m i r : ( 3, 7 ).‘j

I r ( 0 . i u , 4 . ( ) r F n t ( 3 , 7 J 9 )

96
709

70L

700

9Cl

Cc

cr

r

75

76

2

3

1

FGRHATf/lC'XI

M9ITE(3«70I»0tetRH«Sf I}«SC2)tHFHT«ED4T«HFlH*XFIK

FORHATI lCXtFt*2»F6. 3t 3F7 .a«3F10.A«F12.A)

FORMAT! 1H1»////»10X** FLOW S* tlA, *,* MANN.

I

* SUPPLY*** Lfc^lh

2* NORMAL •*

JlOX,* L/S. **• A* ENTRY DC P7H

% /#29X** C5IN)

§* PATIO h/C.

OkAlM flCh *** tMTkY

PIPE LENGTH TO*,/*

P* •*• COIFF **• SLO

ehcROy depth normal LEPTH,**

CSIMI *,

*,* SLJFf

M . H/C. ;./ n .* ,//)

IF! IRUS.LC ,3fc| IkJS- J GOTO »00

CONTINUE

END

SuaROuTiNE P.CLhCIE* T, 1,NR)

iNTEGt^i Sn/P£

CJ/1MCN/CM2/5FAP E SUbPOUTiNfc ECi SC CALCJLATfcS THE ENTRY COnCITIJN TO THt

1ILD SLOPE FIFE !IZ»2» BY k£Ftf-fECE TJ THE ENE.yOY AT

discharge FF(M the steep SLCPE PIPr <I2=U, OR SIMPLY

= kOM THE ENEPtY INPUT DATA IF TH/T M(j.)£ IS CnOOStN

BY Trk Ii'FlT lF ICJ^ * I I N Tht IMTUL READ >TATtMENfS.

PIPE CRCSS SELTICn IS CGNTKCLLtr tY TnE tALUt t-F TERM SHAPE, l*kbCTAMC JLAfi tk ^=CIrCULAk, iN ThL InPUT.

D * 9.61

IF! SHAPE. GT.l) GCTJ 2 Yi»0.0

Ho»C/( a«(2 .C*C £ )*P :.5 ) iX*HP/2.0

)0 75 I«1,1CC

IF(I.GT.l) Y1*Y

iK -I x * n >* IFU .EO.DCrTC 75

IF(Yl.GF.U.O.ANC.Y.L-.O.O) GCTC 7fc IFCVI.LS.G.C.ANC.Y.OE.O.O) goto 7fc CONTINUE

GOTO I CONTINUE

•1 * 0.0

£CL=0.0

J£LH»c/20u .0

^I*3.1<.2

.<• 6 / 2*0

1*H*D£LH

IF Ch.LT.P) THE T A»2 . 0*A T AN( SORT U )/(k-nJ»

IF(H.£Q.RJ THETA*PI

IFIH.GT.R) THETA-PI *2. C*ATaN((H-P)/(

3RT(h*(9-hJ ))

}

AREA-! (B**2)/b.C)*(THtTA-SlN!lHFTA) ) SC2«H^!Q**2 )/! (AFEA*A2 I«2.0*G)

IF ( EC2.LE.E ./ND.ECl .02 .E) CCTC A FCL-EC2

SOTO 3 Ha-H

continue

RETURN

END

iUBPnoTlME CALCCHtOL)

SUHROuTlNt CALC IS USED THpruOMlT T'-. PFUCRAfI TL

IcTfOrlNf THE FLl.H-^IP*: PAEAHLTEVS SUCH AS FLU97
o

oo

oo

o

o IM THE eiSrCTICh HETHJO CALCULATICN OF HOkHAL itHO

CRITICAL OEFTbS IH EACH OF Ihk FIFE

Irt THE CIRCULAR FIFE CROSS SECTION CASE IT ALSO \

CALCULATES SUBTENOEO ANCLE AK; THE NAIER SURFACE

^IiiTH AS uETTh CHANScS*

AS IN 6CUNI ANC NAIN AKOCRAF THE FIFE SHaFE IS CETERnInEO

ir the value CF TH:' term ShAFE INPUT AS CAT A.

Integer shape

CJNRnN/CMl/E «C,C«CQN«S 0«CAN,Fh(},hC('IT«HNJkNt area tFER ,FFH«EN€Rw

cjn-on/c^^/skape

:a*iH0.></rM3/w

IFI sv aPE.UT.I )CCTO I IF( IZ.EO. J.ANL.H.CE.a)H*B

AREA»H*B

PER«?*2.0»h

ICRrT«I.O-(Cct; )*B/ (GA APE A* A3)

(AREa»F 3.333)/(»*£R**1.3J j) ) 3u«HCR IT/(HNCRN4S0I

FP‘1»{G^«'/^^{A•N/2.0^^ RHn^C<-C/ AM A)

= n£RC-H»( )

n AR£^R*2 ) P2 .OFC)

GOTO 2

•

1 PI=3,i^?

If nZ.EQ.3.AhL.h.Ct .3) OQU 20

If (H.LT.RI THE! A-2.3^ATAMSC.RT(H^C3-hJ I/U/2.0-H))

IF(H.£C.K) Tf£TA»PI

If ( n.CT.R ) Tffc TA«PI *2. 0»ATAM(h-l / 2.0) / ( SwkT (-1 A( b-^ll )J ) GOTO 22

20 ^*3

THETA«2 .0»f I AR£A»P I 9(t/2.0 )««2

?£R*PI<'3

<o = f /: .0

i-»ir 21

22 continue

ARE As{ (BF22 )/». ,0)»( THETA-SI MTHfc 7 a) ) ?FR=3«TM£ TA/2. U

r«2.C*( (H* <E-F ) )«) .5

-ICRIT* l.0-(C*«2.01^T/(G*A^f a*»3)

^N0R‘1=1.0-(CA2.O)»C lN/( (ARfcA*^3.333)/(P£K«*l.333 ) ) 3L«HCKlT/UiNLKhFSOI

<0- (2.9/3 .C )«t b/2.0 ) ( 3.Q*S lMTf£TA/2. > )-SI N(3-C*TriETA/2. 0) } l/( A.C- ( TmcTA/a .C-0.S#S INI THETm) ) ) 21 HdAR*XO^rt-t /2.

f PH* CA.nA AREA LAS RHC*U« C/ ARIA

cN£PC-H*( QR»2) /( (AREAA*2)*2.C*C)

2 continue

RcTUON

ENO

13ENJ

98
Sample data program PROFIL 2

Line 1. SHAPE, Format 1 3.

Geometry indicator 2 = circular pipe

VV2

Line 2. NN, NS, ICON, Format 314

NN - dh interval on depth profile

NS - N° calculation steps, max., Simposn Rule

ICON - 2 assumes terminal conditions in approach pipe

VV30V200VVV2

Line 3. B, RM, DEN, Format 3F10.4

B - pipe diameter, RM - Manning Coeff.,

DEN - entry energy loss coefficient

VVVVO . 1500 VVVVO. 0090 VVVVl . 0000

Line 4. PL, SO, Q, HCONT, ECZ, Format 5F10.4

PL - pipe length, SO - pipe slope, Q

” flow rate

HCONT - control depth Indicator, 0 value

indicates upstream critical control,

ENZ - entry energy, zero unless ICON = 1.

VVVV40. 0000 VVVVO. 0070 VVVV4. 0000 VVVVO. 0000 VVVVO. 0000

Note, line 4 is approach pipe data.

Line 5. PL, SO, Q, HCONT, ENZ, Format 5F10.4

HCONT = 1 indicates entry depth as control

Line 5 is test pipe data

VVVV40. 0000 VVVVO. 0250 VVVV4. 0000 VVVVl .0000 VVVVO. 0000

Line 6, 7; 8, 9; etc repeat format 4, 5; for all test cases

Last line. PL, SQ, Q, HCONT, ENZ, Format 5F10.4 zero values terminate run.

VVVVO. 0000 VVVVO. 0000 VVVVO. 0000 VVVVO. 0000 VVVVO. 0000

99
NBS-114A (REV. 2-80) U.S. DEPT. OF COMM. 1. PUBLICATION OR 2. Performing Organ. Report No. 3. Publication Date ’ ! BIBLIOGRAPHIC DATA

REPORT NO. ii June 1981 SHEET (See instructions) NBSIR j| 81-2290

4. TITLE AND SUBTITLE 1

I

Entry Transition Water Surface Profile Prediction in Supercritical

Partially Filled Pipe Flow

5. AUTHOR(S)

John Swaf field

6. PERFORMING ORGANIZATION (If joint or other than NBS, see instructions)

national bureau of standards

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7.

Contract/Grant No. H-48-78

8.

Type of Report & Period Covered

9.

SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street, City, State, ZIP)

Department of Housing and Urban Development

451 7th Street, SW

Washington, D.C. 20410

10.

SUPPLEMENTARY NOTES

I I Document describes a computer program; SF-185, FIPS Software Summary, is attached.

11.

ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here)

The criteria governing the development of steady partially filled supercritical

pipe flow are presented together with the necessary techniques to determine the

water surface profile in the pipe entry transition length.

The establishment of full bore flow is predicted for a range of flow rates and

pipe design parameters. Based on the water surface profile calculation technique

pipe length predictions are presented to avoid the air pressure fluctuations in the

drainage system that result from full bore flow establishment.

Tabular data is presented to allow design decisions to be made that link pipe

slope, diameter and roughness to the need to avoid full bore flow. A graphical

technique is also presented that removes the necessity to interpolate from the

tabular data.

The effect of entry geometry loss coefficients is included in the techniques

presented.

12.

KEY WORDS (S/x to twelve entries; alphabetical order; capitalize only proper names; and separate key words by semicolons)

Building drainage; supercritical flow; transition length; vertical stack drain

entry.

13.

AVAILABILITY

Unl i mi ted

I I For Official Distribution. Do Not Release to NTIS

I I Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.

20402.

Order From National Technical Information Service (NTIS), Springfield, VA. 22161

14. NO. OF

PRINTED PAGES

107

15. Price

$11.00

USCOMM-DC 6043-P80

•V