NASA Contractor Report 4129 

Part III 

NASA-CR-41/9 

19 - -PT 3 880014369 -

Acoustically Excited Heated Jets 

Ill-Mean Flow Data 

J. Lepicovsky, K. K. Ahuja, W. H. Brown, 

M. Salikuddin, and P. J. Morris 

CONTRACT NAS3-23708 

JUNE 1988 

NI\S/\ 1111111111111 1111111111111111/11 ///11 /////111 

NF01833 

llBHARV COpy 

, I I I j 

U,NGLEy' RES::::ARCH CENTER 

LlEl,,';RY, NASA 

HAMPTON, VIP2'NIA 

https://ntrs.nasa.gov/search.jsp?R=19880014369 2019-03-14T19:39:57+00:00Z
NASA Contractor Report 4129 

Part III 

Acoustically Excited Heated Jets 

III-Mean Flow Data 

J. Lepicovsky, K. K. Ahuja, 

W. H. Brown, and M. Salikuddin 

Lockheed Aeronautical Systems Company-Georgia 

Marietta, Georgia 

P. J. Morris 

Pennsylvania State University 

University Park, Pennsylvania 

Prepared for 

LewIs Research Center 

under Contract NAS3-23708 

NI\SI\ 

National Aero"nautlcs 

and Space Administration 

Scientific and Techmcal 

Information Division 

1988 
FOREWORD 

This report was prepared by Lockheed Aeronautical Systems CompanyGeorgia Division, Marietta, Georgia for NASA-Lewis Research Center, 

Cleveland, Ohio under Contract NAS3-23708, entitled "Experimental 

Investigation of the Effects of Acoustic Excitation on Hot Jet Mixing." 

The work was performed under a two phase effort. 

Mr. James R. Stone was the Project 

Phase I effort. Lockheed's Program 

Rice was the Project Manager for 

effort. Lockheed's Program Manager 

Manager for NASA-Lewis Center for the 

Manager was Dr. H. K. Tanna. Dr. Ed 

NASA-Lewis Center for the Phase II 

was Dr. K. K. Ahuja. 

Technical help from Messrs. R. H. Burrin, C. R. Huie, and J. F. Songer is 

particularly acknowledged. 

The authors are particularly grateful to Mr. Uwe von Glahn of NASA-Lewis 

for his continuous support, various lively discussions and useful 

suggestions during the course of this work. 

iii 
This Page Intentionally Left Blank 
1.0 

2.0 

3.0 

LIST 

CONTENTS 

Page 

INTRODUCTION ....•.•.••...•.•••••.....•••.....•••.••••.••••••••..• 

FLOYFIELD MEASUREMENTS ••••••••••••••••••••••••••••••••••••••••••• 

2.1 

2.2 

2.3 

Test Conditions ........................................... . 

Centerline Distributions and Radial Profiles ••••••••••••.•• 

Temperature Probe Calibration ••••.••••••••••••••••.•••••••• 

TABULATED FLOW DATA •.••.•••.....•••.•••.••.•••••••••••••••...••.• 

OF SyMBOLS ••••••••••.••••••••••••••••••••••••••.•.•••••••••••••••• 

v 

1 

2 

2 

4 

4 

54 

111 
1.0 INTRODUCTION 

This report is Part 3 of a three-part report on the excitability of heated 

jets under the influence of acoustic excitation. The effects of upstream 

internal acoustic excitation on jet mlxlng were described in detail in 

Part I. Part 2 describes the effects of external excitation on flow 

mixing. Part 3 contains detailed quantitative results from the 

measurements of mean Mach number and temperature and consists of radial 

profiles and centerline distributions measured at selected jet operating 

conditions for internally excited and unexcited jets. The mean flow data 

are presented in both graphical and tabulated forms. For the sake of 

completeness, this part contains temperature probe calibration curves 

also. 
2.0 FLOWFIELD MEASUREMENTS 

The objective of these experiments was to obtain a general mean flow 

survey of the acoustically excited heated jets. The measurements 

consisted of the flow total pressure and total temperature measurements 

along the jet centerline and selected jet radial locations. The data in 

this section are presented as measured. The corresponding corrected 

temperature data and computed velocities are presented in a tabular form 

in Section 3. 

2.1 TEST CONDITIONS 

The flow parameters were measured at twelve equally-spaced axial stations 

from the nozzle exit plane to X/D = 12. The radial profiles were measured 

at five axial stations X/D = 1, 3, 5, 7, and 9, with a reasonably fine 

space resolution in the radial direction. The mean flow experiments were 

conducted only for those jet operating conditions, where strong effects of 

upstream acoustic excitation in terms of the changes in the mean 

velocities were found during the optimization experiment. 

It should be emphasized here that the data presented are raw, experimental 

data uncorrected for thermocouple recovery. Before using these data for 

velocity or other computations, therefore, the measured temperatures have 

to be corrected using temperature probe correction curves, which are 

presented in Section 2.3. However, as already mentioned above, the 

corrected data are readily available in Section 3. 

The velocity and temperature distributions and profiles were measured at 

jet operating conditions corresponding to Test Points 1 through 6, and 8 

in the Test Matrix presented in Table 2.1. The results for both excited 

and unexcited jets are presented for Test Points 1 through 3, and 6; while 

for Test Points 4, 5, and 8, only the experimental results for the 

unexcited jet are shown. 

A limited number of flowfield measurements was carried out at the 

excitation level of Le = 150 dB and excitation Strouhal number of Stj = 

0.4 at Test Points 4, 5 and 8. These measurements were taken for the sake 

of completeness, even though no effects of the upstream acoustic 

excitation were observed during the optimization experiments at these jet 

operating conditions. In all these cases (Test Points 4, 5, and 8), the 

2 
measurements have yielded either the identical velocity and temperature 

values as for the unexcited cases, or the difference between these sets of 

measurements were random and always within the experimental error band. 

Velocity and 

dimensionless 

number ratio 

dimensionless 

measurements, 

dimensionless 

temperature distributions and profiles are plotted in 

coordinate systems. For velocity measurements, the Mach 

Mp/Mj (for definition see below) is plotted versus the 

axial or radial station, and in the cases of temperature 

the temperature ratio (Tp-To}/(Tt-To> is plotted against 

axial or radial station. 

The Mach number ratio Mp/Mj is defined as 

(y-l)/y (p /p ) - 1 

M /M. 

P 0 

P J (y-l)/y 

(Pt /p 0) 1 

where Mp is the local flow Mach number, 

M· J is the jet exit Mach number, 

Pp is the measured local flow total pressure, 

Pt is the plenum total pressure 

Po is the ambient, barometer pressure, and 

y is the specific heat ratio. 

The temperature ratio is defined by expression 

where 

and 

Tp is the measured, uncorrected local flow total temperature, 

Tt is the plenum total temperature, 

TO is the ambient temperature. 

3 
2.2 CENTERLINE DISTRIBUTIONS AND RADIAL PROFILES 

The velocity centerline distributions 

2.11, and the temperature centerline 

2.12 through 2.20. The particular 

experiments are given in Table 2.2. 

are show in Figures 2.1 through 

distributions are shown in Figures 

ambient conditions of each of the 

The radial velocity and temperature profiles were measured at five axial 

stations at X/D = 1, 3, 5, 7, and 9. The velocity radial profiles are 

shown in Figures 2.21 through 2.31, and the temperature radial profiles 

are shown in Figures 2.32 through 2.40. The particular ambient conditions 

of each of the tests are summarized in Table 2.3. 

2.3 TEMPERATURE PROBE CALIBRATION 

For temperature measurements involving the immersion of a temperature 

probe in heated free jets, corrections to the temperature, indicated by 

the probe, are necessary for accurate quantification. The reason for 

these corrections is that the probe junction attains thermal equilibrium 

at a temperature other than that of the undisturbed free jet. The 

equilibrium temperature results from a balance between heat transferred to 

and from the probe. Convective heat transfer between gas and probe is 

balanced against radiative heat transfer between the probe and 

surroundings and simultaneously against conductive heat transfer between 

the probe stem and its support. The heat transfer between the probe and 

its support is particularly severe for a probe immersed in heated free jet 

of small diameter with the temperature probe supported in the unheated 

surroundings. At low Mach numbers and high jet temperatures, the 

temperature indicated by the probe is particularly influenced more by 

probe stem heat conduction and radiation than by convective heat transfer. 

In this case, the temperature indicated by the probe will differ 

significantly from the jet total temperature. Vithout going into further 

details, the dynamic calibration of the temperature probe is clearly 

needed and the dynamic correction ratio has to be applied to all measured 

temperatures to correct the temperature readings. 

4 
TOTAL PRESSURE JET MACH REYNOLDS VELOCITY I 

TEST TEMPERATURE RATIO NUMBER NUMBER RATIO 

POINT Tt ReJ I 

E MJ (MILLION) UJ/ao 

K ( oF) 

1 294 (70) 1.50 0.78 1.0 0.74 

2 367 (200) 1.50 0.78 0.8 0.83 I 

3 489 (420) 1.50 0.78 0.5 0.95 

4 672 (750) 1.50 0.78 0.4 1.12 

5 811 (1000) 1.50 0.78 0.3 1.23 

6 489 (420) 1.17 0.48 0.3 0.60 

7 489 (420) 2.43 1.20 1.0 1.36 

8 672 (750) 1.88 0.99 0.5 1.38 '----~ -- --

Table 2.1 Test matr1x of jet operating conditions. 

VI 
0" 

VELOCITY AXIAL DISTRIBUTION 

. ...., 

:2 -0 0 I 

"- 0 

0 

Cl. 0 :2 0 

0.8 0 

0 0 

~ 0 

0::: 0.6 I0::: 

W 

ill 

:2 

~ 0.4 \-

Z 

I 

U « 02 I 

:2 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.798 Tt = 291.5 K Le = a dB 

Uj = 257.5 m . S 

-1 Tt/To= 0.99 fe = a Hz 

Z/R= 0000 ReJ = 1,056,475 StJ = 0.00 

Figure 2.1 Unexcited unheated jet centerline velocity decay. 

Test Point 1. 
VELOCITY AXIAL DISTRIBUTION 

'--' 

~ 

"'-... 0 6 

0- 0 

~ 0 

0.8 0 

0 0 

~ 0 

0::: 0.6 0 

0::: 0 

W 

m 

~ 0.4 I- ::> 

Z 

I 

(.) 

<{ 02 I 

~ 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.799 Tt = 290.9 K Le = 149 dB 

Uj = 257.4 m . S 

-1 Tt/TO = 0.99 fe = 2080 Hz 

Z/R = 0.000 ReJ = 1,063,573 Stj = 0.41 

Figure 2.2 Tone excited unheated jet centerline velocity decay. 

~ Test Point 1. 
00 

VELOCITY AXIAL DISTRIBUTION 

....... ~ 

"- 0 

0.. 0 

~ 0 

0.8 0 

0 0 0 

~ 0 

n::: 0.6 

n::: 

W 

m 

~ 0.4 I- ::::> 

Z 

:r: 

U 

<{ 02 I ~ 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.799 Tt = 365.7 K La = a dB 

Uj = 288.7 m . S 

-1 T/To = 1.24 fa = a Hz 

Z/R = 0.000 Rej = 799,139 Stj = 0.00 

Figure 2.3 Unexcited heated jet centerline velocity decay. 

Test Point 2. 
\0 

VELOCITY AXIAL DISTRIBUTION 

'--' 

::2 

""- 1 0 0 0 0 6 

c... o 

::2 

o 0.8 I- - o o 

~ o 

0::: o 0.6 I- -

8S o 

o 

m 

::2 ::::) 0.4 I- - Z 

I 

~ 02 

::2 o 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.798 

Uj = 289.5 m .5-1 

Z/R= 0.000 

Tt = 368.6 K 

Tt/To = 1.25 

Rej = 786,906 

La = 149 dB 

fa = 2240 Hz 

Stj = 0.39 

Figure 2.4 Tone excited heated jet centerline velocity decay. 

Test Point 2. 
t-' 

o 

VELOCITY AXIAL DISTRIBUTION 

......... :2 

"'- 0 

Q. 0 

:2 0 

0.8 0 

0 0 

~ 0 

0 0::: 0.6 

8S 

m 

::2 

::::> 0.4 r 

z 

:r: 

0 « 02 I 

:2 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.800 Tt = 488.8 K Le = 0 dB 

Uj = 333.5 m . S 

-1 Tt/TO = 1.66 fe = 0 Hz 

Z/R = 0.000 Rej = 557,005 Stj = 0.00 

Figure 2.5 Unexcited heated jet centerline velocity decay. 

Test Point 3. 
t-' 

t-' 

~-. 

"-

0.. 

~ 

o 

~ 0::: 

es 

0.8 I0.6 ICD 

~ 

::> 0.4 IZ 

:r: 

VELOCITY AXIAL DISTRIBUTION 

~ 

o 

o 

o -

o 

o 

o - o 

-

~ 0.2 LI ----L_...L..---L---L_..l...---L---L_...L..---L---L_.1..---'-----'-_.l.--1 

2 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.802 

Uj = 334.5 m. 5-1 

Z/R= 0.000 

Tt = 490.2 K 

Tt/To = 1.67 

Rej = 555,333 

La = 147 dB 

fa = 2280 Hz 

Stj = 0.35 

Figure 2.6 Tone excited heated jet centerline velocity decay. 

Test Point 3. 
...... 

'" 

VELOCITY AXIAL DISTRIBUTION 

'-' 

:2 

~ 0 I 

0 

Q. 0 ~ 

0.8 0 

0 0 

~ 0 

0 0::: 0.6 0 

0::: 0 

W 

CD 

~ 

:::) 0.4 IZ 

I 

<-) 

« 02 I 

2 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.482 Tt = 490.0 K La = 0 dB 

Uj = 2083 m. S 

-1 Tt/To = 1.66 fa = 0 Hz 

Z/R= 0000 Rej = 305,107 Stj = 0.00 

Figure 2.7 Unexcited heated jet centerline velocity decay. 

Test Point 6. 
t-' 

W 

~-. 

""'-

Q. 

~ 

o 

~ 0:: 

8S 

0.8 t0.6 tVELOCITY AXIAL DISTRIBUTION 

-U 0 0 6 I 

o 

o 

o 

o 

o 

o 

o 

o 

-

-

OJ 

~ 

:::::> 0.4 t- - Z 

I 

~ ~ 

0.2 ~1 __ ~~ __ ~ __ L-~ __ ~ __ ~~ __ ~ __ L-~ __ ~~~-L~ 

o 5 10 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.481 

Uj = 207.8 m 5-1 

Z/R = 0.000 

Tt = 489.3 K 

Tt/To= 1.67 

Rej = 304,111 

La = 149 dB 

fa = 1780 Hz 

Stj = 0.44 

15 

Figure 2.8 Tone excited heated jet centerline velocity profile. 

Test Point 6. 
I-' 

.j::-

VELOCITY AXIAL DISTRIBUTION 

.~ 

2 

"- 0 

0 

Q. 0 2 

0.8 0 

0 0 

~ 0 

0::: 0 

0.6 0 

0::: 

W 

CO 

2 0.4 t- ::::> 

Z 

I 

U « 02 I 

2 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.806 Tt = 671.7 K La = 0 dB 

Uj = 3919 m . 8-1 Tt/To = 2.28 fa = a Hz 

Z/R= 0000 Rej = 381,185 stj = 0.00 

Figure 2.9 Unexcited heated jet centerline velocity decay. 

Test Point 4. 
t-' 

VI 

VELOCITY AXIAL DISTRIBUTION 

'''''' ~ 

"-... ---.-' -.-----. 

0 

0.. 0 

~ 

0.8 0 

0 0 

~ 0 

0::: 0 0.6 0 

0::: 0 W 

CD 

~ 

:::::> 0.4 .- z 

:r: 

~ 02 I 

:2 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.809 Tt = 8110 K La = 0 dB 

Uj = 431.0 m . 5-1 Tt/To = 2.76 fe = 0 Hz 

Z/R = 0.000 Rej = 305,038 Stj = 0.00 

Figure 2.10 Unexcited heated jet centerline velocity decay. 

Test Point 5. 
..... 

0\ 

VELOCITY AXIAL DISTRIBUTION 

........ ~ 

"'-

a. 0 

~ 0 

0.8 0 

0 0 

0 

~ 0 

et: 0.6 0 

0::: 

W 

(0 

~ 

::) 0.4 IZ 

:r: 

U « 02 I 

~ 0 5 10 15 

DIMENSIONLESS DISTANCE, X/D 

Mj = 0.995 Tt = 671.9 K La = 0 dB 

Uj = 471.2 m . S 

-1 Tt/To = 2.28 fa = 0 Hz 

Z/R = 0000 Rej = 503,739 Stj = 0.00 

Figure 2.11 Unexcited heated jet centerline velocity decay. 

Test Point 8. 
...... 

....... 

TEMPERATURE AXIAL DISTRIBUTION 

Figure 2.12 Unexcited heated jet centerline temperature decay. 

Test Point 2 • 
I-' 

00 

TEMPERATURE AXIAL DISTRIBUTION 

.......... 0 

lI 

....... 

t:.- 0 o 0 0 

~ 0 

0 0 

I- 0.8 I 0 

0-

I-

'-" 0 

0 

0 0.6 I 0 

~ 0 

0 

0:::: 

W 0.4 I0:::: 

0:::: 

~ 0.2 I 

W 

0... 0 5 10 15 

:2 

I=! DIMENSIONLESS DISTANCE, X/D 

Mj = 0.799 Tt = 3687 K Le = 149 dB 

Uj = 289.6 m . S 

-1 Tt/T 0 = 1.25 fe = 2240 Hz 

Z/R = 0.000 Rej = 787,130 Stj = 0.39 

Figure 2.13 Tone excited heated jet centerline temperature decay. 

Test Point 2. 
t-' 

\0 

TEMPERATURE AXIAL DISTRIBUTION 

,--... 0 

lI 

...... 0 0 t 0 

0 

~ 0 0 0 

I- 0.8 0 I 

0.. 0 

t 0 

0 

0 0.6 I 0 

~ 0 

0::: 

W 0.4 I0::: 

:::> 

~ 0::: 0.2 I 

W 0 5 10 15 0.. 

:2 

~ DIMENSIONLESS DISTANCE, X/D 

Mj = 0.801 Tt = 488.7 K La = 0 dB 

U j = 333.7 m . S 

-1 Tt/To = 166 fe = 0 Hz 

Z/R= 0000 Rej = 557,485 StJ = 0.00 

Figure 2.14 Unexcited heated jet centerline temperature decay. 

Test Point 3. 
t-l 

o 

TEMPERATURE AXIAL DISTRIBUTION 

.--.. 0 

lI 1 -T ...... 0 0 I- 0 ............ 0 

~ 0 0 

I- 0.8 I 0 

0. 

t 0 

0 

0 0.6 0 

~ 0 

0 0::: 0 

W 0.4 

0:: 

:::::> 

~ 0::: 02 I 

W 0 5 10 15 Cl. 

2 

~ DIMENSIONLESS DISTANCE, X/D 

Mj = 0.803 Tt = 4891 K Le = 147 dB 

Uj = 334.7 m . S 

-1 Tt/TO = 1.66 fe = 2280 Hz 

Z/R = 0.000 Rej = 558,319 Stj = 0.35 

Figure 2.15 Tone excited heated jet centerline temperature decay. 

Test Point 3. 
'" t-' 

TEMPERATURE AXIAL DISTRIBUTION 

r---0 

fI 

o+J 0 0 t 0 

~ 0 0 

f- O.B I 0 

0. 

t I- 0 

0.6 [ 

0 

0 0 

~ 0 

0::: 0 

0.4 0 

W 0 

0::: 

:::> 

t( 

0::: 02 I 

W 0 5 10 15 0.... 

2 

~ DIMENSIONLESS DISTANCE, X/D 

Mj = 0.481 Tt = 489.7 K La = 0 dB 

Uj = 208.0 m . S 

-1 Tt/To = 1.66 fa = 0 Hz 

Z/R = 0.000 Rej = 304,857 stj = 0.00 

Figure 2.16 Unexcited heated jet centerline temperature decay. 

Test Point 6. 
'" '" 

,.-.... o 

lI 

..... c 

~ 

TEMPERATURE AXIAL DISTRIBUTION 

o 0 I 

o 

~ 0.8 to - o. 

C 

o 

~ 0::: 

W 

0::: 

::J 

~ 

8J 

0.... 

~ 

o 

o 

0.6 I- o 

o 

o 

0.4 Io 

02 

o 5 10 

DIMENSIONLESS DISTANCE, 

Mj = 0.481 

Uj = 207.8 m 5-1 

Z/R = 0.000 

Tt = 489.1 K 

Tt/To = 1.67 

Rej = 304,328 

o 

-

- o 

X/D 

Le = 149 dB 

fe = V80 Hz 

Stj = 0.44 

15 

Figure 2.17 Tone excited heated jet centerline temperature decay. 

Test Point 6. 
t-) 

w 

.....-... o 

lI 

-+oJ 

§;; 

o 

lI 

0. 

t 

o 

~ n:::: 

w 

0::: 

::::> 

~ 

8J 

0.... 

~ 

TEMPERATURE AXIAL DISTRIBUTION 

000 I I 

o 

o 

0.8 t- o 

o 

o 

0.6 to 

o 

0.4 I0.2 

o 5 10 

DIMENSIONLESS DISTANCE, 

Mj = 0.805 

Uj = 391.6 m . 5-1 

Z/R= 0000 

Tt = 6711 K 

Tt/To = 2.28 

Rej = 381,348 

o 

o 

X/D 

La = 0 dB 

fa = 0 Hz 

Stj = 0.00 

-

-

-

15 

Figure 2.18 Unexcited heated jet centerline temperature decay. 

Test Point 4. 
f\,) 

.s::-

TEMPERATURE AXIAL DISTRIBUTION 

r--. 0 

lI '10 ...... I-------.----------T '~ 

0 t::.- o 

~ 0 

~: 0.8 ~ 0 

t::.-

o 

0 0.6 0 

~ 0 

0::: 0 

0.4 0 

W 0 

0::: 0 

:::) 

~ 0::: 0.2 I 

W 0 5 10 15 0.. 

2 

~ DIMENSIONLESS DISTANCE, X/D 

Mj = 0.809 Tt = 811.0 K Le = 0 dB 

Uj = 430.9 m . S 

-1 Tt/TO = 2.76 fe = 0 Hz 

Z/R = 0.000 Rej = 304,983 Stj = 0.00 

Figure 2.19 Unexcited heated jet centerline temperature decay. 

Test Point 5. 
I') 

V1 

TEMPERATURE AXIAL DISTRIBUTION 

..-.... 0 

.-

I ------.----------.----~ 

...... 0 0 .t::.- o 

~ 0 

0 0 

.-

I O.B 0 

c. 0 .t::.-

o 

0.6 [ 

0 

0 0 

~ 0 

0::: 0 

W 0.4 

~ 

:J 

~ 02 I 8J 

0.... 0 5 10 15 

~ 

~ DIMENSIONLESS DISTANCE, X/D 

Mj = 0.995 Tt = 672.0 K Le = 0 dB 

Uj = 471.0 m. S-1 Tt/To = 2.28 fe = 0 Hz 

Z/R = 0.000 Rej = 503,302 Stj = 0.00 

Figure 2.20 Unexcited heated jet centerline temperature decay. 

Test Point 8. 
Po T 

Figure 0 

( kPa ) ( K ) 

2.1 98.339 294.3 

2.2 98.615 294.8 

2.3. 2.12 99.305 294.3 

2.4 2.13 98.960 294.8 

2.5, 2.14 99.236 294.3 

2.6, 2.15 99.098 294.3 

2.7, 2.16 99.167 294.3 

2.8, 2.17 98.891 292.6 

2.9, 2.18 99.098 294.3 

2.10, 2.19 98.822 293.7 

2.11, 2.20 99.098 294.3 

Table 2.2 Ambient conditions. 

26 
I\.) 

"'-l 

'--' 

2 

"-

D.. 

~ 

0 

~ n::: 

n::: 

W 

m 

~ 

::::J 

Z 

I 

u 

« 

2: 

0.8 [ 

06 

04 

0.: t 

0.8 

0.6 

04 t 

02 

0 

-4 

VELOCITY RADIAL 

X/D= 1 

~ 

8 

0 

0 

0 

0 

0 

0 

~I 

X/D=5 

0 

0 

0 

0 

0 

-3 -2 -1 0 1 -4 

PROFILES 

X/D=3 

0 

0 

0 

0 

0 

0 

0 

X/D= 7 

oePoo 0 

0 

0 

0 

0 

0 

0 

0 

-3 -2 -1 0 

MJ = 0.799 

UJ = 2572 m . 8-1 

Tt = 290.2 K 

Tt/To = 0.99 

Rej = 1,064,744 

Le = 0 dB 

fe = 0 Hz 

stj = 0.00 

X/D=9 

T 

0000 

o 

0

0 

o 

o 

I- o 0 

o 

o 

o 

o 

0 0 

....cOo? 

-4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.21 Unexcited unheated jet radial velocity profiles. 

Test Point 1. 
I'-) 

00 

VELOCITY RADIAL PROFILES MJ = 0799 

X/D= 1 X/D=3 UJ = 257.5 m . S 

-1 

0 0 

Tt = 290.7 K 

'--' 

0.8 f 0 0 Tt/T 0 = 0.49 2 0 

0 

'-...... 0 ReJ = 1,065,201 06 0 0 

0... 0 Le = 149 dB 2 0 

04 0 0 fe = 2080 Hz 

0 0 

0 0.2 t 0 StJ = 0.41 

0 

~ 0 

0 0::: X/O=5 X/O= 7 X/O=9 

0::: 0° 

r--r 

w 

m 0.8 0 cPOo 

0 0 

2 0 

0000 

::> 0 0 

0

0 

Z 0.6 0 0 0 0 0 

I 0 0 0 

04 t 0 0 

U 0 0 00 

« 0 0 0 0 

L 02 0 

0 0 0 

0 0 

0 0 0 

0 0 0 

0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.22 Tone excited unheated jet radial velocity profiles. 

Test Point 1. 
\0 '"

'--' 

2 

'--... 

0. 

2 

0 

~ 0::: 

0::: 

W 

m 

2 

::::> 

Z 

:r: 

0 

« 

2 

0.8 t 

06 

04 

0.2 

0 

0.8 

0.6 

04 t 

02 

0 

-4 

VELOCITY RADIAL PROFILES Mj = 0800 

X/D = 1 X/D=3 Uj = 289.0 m . S 

-1 

0 0 Tt = 366.0 K 

0 0 

0 Tt/T 0 = 0.41 

0 0 

0 9 Rej = 799,459 

0 0 Le = 0 dB 

0 0 

fe = a Hz 

0 0 

0 Stj = 0.00 0 

0 

X/D=5 X/D=7 X/D=9 

00 

I i 

ocPo 

0 0 oclJo 0 - 0 0 

0 0 

0 0 0 0 

0 0 0 

0 0 

0 0 0 0 

0 0 

0

0 

0 

0 0 

00 

0° 

-3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.23 Unexcited heated jet radial velocity profiles. 

Test Point 2. 
w 

o 

2 '---

"-... 

Q.. 

2 

:. 

0 

~ ct:: 

ct:: 

W 

rn 

:2 

::> 

Z 

I 

0 

« 

2 

VELOCITY RADIAL PROFILES MJ = 0.799 

X/D= 1 X/O= 3 u -1 j = 290.0 m . S 

0 0 Tt = 369.3 K 

0.8 0 0 

0 Tt/T 0 = 0.31 0 0 

06 0 0 Rej = 786,060 

0 Le = 149 dB 04 0 0 0 0 fe = 2240 Hz 

0 0 

0.2 0 StJ = 0.39 

0 

0 

X/D=5 1 ~ ___ ~ ___ X/O= 7 X/O=9 

0.8 t 0 oct::Joo 0 

0 0 oc/JO 0.6 0 0 0 0 0 0 0 

0 0 cPo 

04 t 0 

0 

0 0 0 

0 0 0 

0 0 00 

02 0 0 

0 00 i J 

0 0 00 000 

0 0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.24 Tone excited heated jet radial velocity profiles. 

Test Point 2. 
W 

I-' 

.- 2 

'-...... 

0.. 

2 

0 

~ cr 

cr 

W 

m 

2 

:::> 

Z 

:r: 

~ 2 

VELOCITY RADIAL PROFILES Mj = 0.801 

xjO= 1 XjO=3 UJ = 334.1 m . s 

-1 

1 

e Tt = 489.4 K 

0 0 

08 f 0 Tt/To = 0.33 0 0 

06 0 0 Rej = 557,038 

0 0 

Le = 0 dB 

04 0 0 

0 fe = 0 Hz 0 

0 

0.: t 0 

0 StJ = 0.00 

0 

xjO= 5 XjO=7 XjD= 9 

0

0 0 

0 0000 

0 0 0.8 r- - 0000 - 0 0 0 

0 0 

0 

0.6 f0 

0 0 

0 0 0 

0 0 

0.4 t 0 0 0 0 

0 0 0 

0 0 

02 0 0 00 

0 0 0 

0 1.0

0 I I I 0 00 

0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.25 Unexcited heated jet radial velocity profiles. 

Test Point 3. 
W 

N 

VELOCITY RADIAL PROFILES MJ = 0801 

X/D= 1 X/D=3 UJ = 333.9 m . S 

-1 

0 Tt = 489.2 K 

0.6 t 0 0 

Tt/To = 0.28 '--' 0 :2 0 

0 

" 0 06 0 Rej = 556,122 

0.. 0 0 Le = 147 dB :2 04 0 0 

0 0 fa = 2280 Hz 

0 

0 0.2 0 0 Stj = 0.35 

~ 0 

0 0::: X/D=5 X/D=7 X/D=9 

0::: 

:.: f 

I I 0 0000 W 0 

0000 rn 0 0 

0 :2 0 0 0000 

:::::> 0 0 

0 0 

Z 0 0 0 

0 0

0 

I 

04 t 0 0 0 

U 0 0 0 <{ 0 

:2 02 0 0 

0 0 

0 0 

0 000 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.26 Tone excited heated jet radial velocity profiles. 

Test Point 3. 
w 

w 

'--' 

2 

""-

c.. 

2 

0 

~ 0::: 

0:: 

w 

OJ 

2 

~ 

Z 

:r: 

0 « 

2 

0.8 f 

06 

04 

0.: t 

O.~ f 

0.6 

04 t 

02 

0 

-4 

VELOCITY RADIAL PROFILES MJ = 0481 

X/D = 1 X/D= 3 UJ = 207.8 m . S 

-1 

0 0 Tt = 489.6 K 

0 0 

0 0 Tt/To = 0.24 

0 0 

0 Rej = 304,752 0 0 

0 0 Le = 0 dB 0 

0 0 

0 0 fe = 0 Hz 

0 0 

0 0 Stj = 0.00 

I 0 am 

X/D=5 X/D=7 X/D=9 

i i 

/o~o J or:J:Joo 

0 

0 0 000 

0 0 0 

0 

0 0 0 0 0 

0 0 0 0 0 0 0 0 0 

0 

0 0 

0

0 

00 

0 0 

0 00 0 

0 0 0 

-3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.27 Unexcited heated jet radial velocity profiles. 

Test Point 6. 
W 

.I:'-

VELOCITY RADIAL PROFILES MJ = 0.481 

X/O= 1 X/O=3 UJ = 207.9 m . S -1 

0 Tt = 488.8 K '--' 

0.6 f 0 0 

2 Tt/T 0 = 0.21 0 0 

0 0 "'" 06 0 0 Rej = 304,834 

0... 0 

0 0 ~ Le = 149 dB 04 0 0 0 

0 0 fe = 1780 Hz 

0.: r 0 0 0 0 0 Stj = 0.44 

~ 0 0 

'eBB 0::: X/O=5 X/D= 7 X/O=9 

0::: 1 I I I 060~ I I I I -- I 

W 

CD 

~ 0.8 [ or::POo -1 t- 0 

0 :::::> 0 0 

Z 0.6 ooCCOo 0 0 

0 0 0 

0 0 0 0 I 

04 t 0 0 

00 0 0 0 0 0 « 0 

0

0 0 0 

L 02 0 ~ 0 cPo 

0 0 

0 0 

00° 000 

0' I!l~ 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.28 Tone excited heated jet radial velocity profiles. 

Test Point 6. 
VELOCITY RADIAL PROFILES M· = 0806 J 

X/O= 1 X/O= 3 UJ = 391.9 m . S 

-1 

0 0 

Tt = 671.8 K 

'--, 

0,8 f 0 0 2 0 Tt/To = 0.25 0 

"" 0 0 

06 ReJ = 381,815 0 0 

0.. 0 0 Le = 0 dB 2 04 0 0 

0 

0 fe = 0 Hz 0 

0 0.2 I 0 

Stj = 0.00 0 

~ 0 

0 

0 n::: X/O=5 X/D= 7 X/O=9 

n::: 0 i i , W 0 0 

OJ 0 0°0000 O.B 2 0 0 

0 00000 0 ::::> 0 0 

Z 0.6 0 0 0 0 ° 0 0 

:r: 0 0 

04 t 0 0 U 0 0 0 

« 0 0 ° 2 02 0 ° 0 0 

0 0 0 0

0 

0 00 00 

0 

0 

-4 -3 -2 -1 a -4 -3 -2 -1 a 1 -4 -3 -2 -1 a 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.29 Unexcited heated jet radial velocity profiles. 

Test Point 4. w 

\J1 
W 

0\ 

0.6 r '--' 

2 

'-.... 06 

0.. 

2 04 

0.: r 0 

~ 0:::: 

0:::: 

O.~ f w 

m 

2 

:::> 

Z 0.6 

:r: 

U 04 t « 

2 02 

0 

-4 

VELOCITY RADIAL 

X/D= 1 

I tI 

0 

° 

0 

0 

0 

0 

0 

0 

0 

0 

0 

leIiB 

X/D=5 

I I 

PROFILES 

X/D= 3 

° 

0 

0 

0 

0 

0 

0 

0 

0 

0 

0 

X/D= 7 

MJ = 0.809 

U

J 

= 430.6 m . S-1 

Tt = 810.6 K 

Tt/T 0 = 0.28 

Rej = 305,556 

Le = 0 dB 

fe = 0 Hz 

Stj = 0.00 

X/D=9 

o 0 

0 o~ J 

0 

0 

0 

0 

° 

0 

0 

° 

-3 -2 -1 

0°0000 -

0 

0 

0 

0 

0 

0 

0 

0

0 

0 

0 0 

0 

00 

0 1 -4 -3 -2 -1 0 

0 00000 

0 0 

o 

00 

o 

00 

o 

I- 0 0 

00 

cPo 

10 , 

-4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.30 Unexcited heated jet radial velocity profiles. 

Test Point 5. 

-
w 

..... 

'--' 

2 

'-..... 

0.. 

2 

0 

~ 0::: 

0::: 

W 

m 

2 

:::::> 

Z 

:r: 

u « 

2 

06 f 

06 

04 

0.2, 

0 

0.8 

0.6 

04 t 

02 

0 1 

-4 

VELOCITY 

X/D = 1 

0 

0 

0 

0 

0 

0 

0 

0 

X/D=5 

0 

0 

0 

0 

0 

0 

0 

0 

0 

moe::: 

-3 -2 -1 

RADIAL PROFILES 

X/D= 3 

1 1 C 

0 

0 

0 

0 

0 

0 

0 

0 

0 

0 

0 

0 

X/D= 7 

0 

0 

0 

0 

0 

0 

0 

0 

0 

0 

0

0 

I oDQOf£.O 

0 1 -4 -3 -2 -1 

0 0000 

a 

ttMJ = 0995 

-1 UJ = 471.1 m . 5 

Tt = 671.7 K 

Tt/T 0 = 0.21 

Rej = 503,437 

Le = 0 dB 

fe = 0 Hz 

Stj = 0.00 

X/D=9 

o°cPo 

o 

o 

o 

o 

o 

o 

o 

o 

0 0 

0

0 

-

-

-

0 00 

,00 I 

-4 -3 -2 -1 a 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.31 Unexcited heated jet radial velocity profiles. 

Test Point 8. 
w 

00 

TEMPERATURE RADIAL PROFILES MJ = 0.800 

X/D= 1 X/D=3 UJ 

= 289.0 m . S-1 

".-.... 

r 0 Tt = 366.0 K lI O.B ........ Tt/T 0 = 0.10 

0 I- 0 

'-'" 0 Rej = 799.459 ~ 0.6 

0 0 0 

Le = 0 dB I- 0 

I 04 8 

0. 0 fe = 0 Hz 

C 0.2 0 

Stj 0 = 0.00 

0' g 

0 X/D= 5 X/D=7 X/D=9 

~ I I I 

0::: 000000 

0 O.B o o_ 00000 

W 0 0 oCIXXJo n:::: 0 0 

0

0 

:::::> 0.6 0 - 0 

~ 0 0

0 

0 0 0 

n:::: 04 0 - 0 0 

W 0 0 

D.... 0 0 0° 

° :2 02 0 - 0 0° 

0 0 0 

000 W 0° .-- 0 I I I I 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.32 Unexcited heated jet radial velocity profiles. 

Test Point 2. 
W 

\0 

~----

~ 

0 

r 

I 0.8 ....... 

t-

~ 06 

0 

~ 04 

0.. 

t- 0.2 

0 0 1 

!« 1 

0::: 

W 0.8 

0::: 

:::;, 0.6 

~ 0::: 04 

W 

(L 

2 02 

W 

I- o I 

-4 

1P2-"" 

TEMPERATURE RADIAL PROFILES MJ = 0799 

X/O= 1 X/O= 3 UJ = 290.0 m . S 

-1 

Tt = 369.3 K 

0 Tt/T 0 = 0.10 

o 

0 0 Rej = 786,060 0 0 

0 

0 Le = 149 dB 

0 0 

0 fe = 2240 Hz 

o 0 

6> 0 Stj = 0.39 

X/O=5 X/D=7 X/D=9 

0 000 

o 0 -I I0 OOOg o 0 

0 

00000000 OJ 0 

0 

0 

0 [ 0 00 

00 ~- 0 0 00 

0 

00 0#0 00 00 

00 0 00 0 00 

-3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.33 Tone excited heated jet radial temperature profiles. 

Test Point 2. 
~ 

0 

TEMPERATURE RADIAL PROFILES MJ = 0.801 

X/D= 1 X/D=3 Uj = 334.1 m . S 

-1 

-.... Tt = 489.4 K 0 

lI O.B ...... Tt/T 0 = 0.12 0 C 0 Rej = 557,038 ~ 06 0 

0 0 0 Le = 0 dB I- 0 0 I 04 0 

0- fe = 0 Hz 

C 0 0 0.2 

0 Stj = 0.00 

r:9 

0 0' 

~ X/D=5 X/D= 7 X/D=9 

r-r 

0:::: ooCJOoo 

W 

O.B 0 0 00000 

0 0

0 

0 0:::: 0 000000 0 ::J 0.6 0 00 -

~ 0 0 0 

0 0 0 0 0::: 04 0 0 0

0 

W 0 

0.... 0 0 0° 

::2 02 0 0

0 0 0 

0 

0 0 0 0 

W 0 C;O 

I- 0 00 

0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.34 Unexcited heated jet radial temperature profiles. 

Test Point 3. 
J:-

I-' 

,.--... 

0 

~ ...o-J 

C 

~ 0 

~ 0. 

C 

0 

~ n:: 

W 

0::: 

~ 0::: 

W 

0.. 

2 

W 

I1 

O.B 

06 

04 

0.2 

o I 

O.B 

0.6 

04 

02 

0 

-4 

TEMPERATURE RADIAL PROFILES MJ = 0801 

X/D= 1 X/D=3 UJ = 333.9 m. S 

-1 

Tt = 489.2 K 

0 Tt/T 0 = 0.11 

e 

Rej = 556,122 0 

0 

0 0 Le = 147 dB 

0 0 

0 

0 fe = 2280 Hz 0 

0 0 StJ = 0.35 

0 

09 1 

0 

1 

X/D=5 X/D=7 X/D=9 

I I I I -. 

0 000 

0 0 -I I0 0 ocPoo 0 o 0 

0 0 o°cPOoo - 0 0 

0 0 0 0 

0 0 0 

0 0 00 

0 0 0 

0 0 

0 0 

0 0 0 0 0 

OOel' 0 0 0 0 

0 0 0 

-3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.35 Tone excited heated jet radial temperature profiles. 

Test Point 3. 
~ 

N 

TEMPERATURE RADIAL PROFILES M. = 0481 J 

X/D= 1 X/D= 3 UJ = 207.8 m . S 

-1 

"........, 

roo Tt = 489.6 K 0 

lI 0.8 0 

...... 0 Tt/T 0= 0.10 

c 0 

e 0 Rej = 304,752 ~ 0.6 8 

0 ! 8 Le = 0 dB 

~ 0 0 

04 0 0 

0 0 

0.. fe = 0 Hz 0 0 I-

'-...../ 0.2 0 0 Stj = 0.00 0 

0 0 

o I 

0 X/D=5 X/D= 7 X/D= 9 

~ 0::: 

0.8 orPoo 

-I I- -I ILLJ 

0::: o 0 

::::> 0.6 0 

0 o°cf=OOoo 

~ 0 

0 

0 

0 o~ 

0::: 04 0 0 00 

W 0 0

0 00 

00 0... 0 00 0° :2 02 0 0

0 0 0 0 

W 00 00 r;po 

0 0 00 ~ 00 0 

0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.36 Unexcited heated Jet radial temperature profiles. 

Test Point 6. 
TEMPERATURE RADIAL PROFILES MJ = 0481 

X/D= 1 X/D=3 UJ = 207.9 m . S 

-1 

--... Tt 0 roo = 488.8 K lI 

...... 0.8 8 0 Tt/T 0 = 0.10 

C 0 

I 0 Rej = 304,834 ~ 06 

0 I Le = 149 dB lI 04 8 8 

0.. 8 0 fe = 1780 Hz 

C 0.2 0 0 

Stj = 0.44 

0 

0 0 

~ X/D=5 X/D=7 X/D=9 

1 I 

0::: 

0.8 -l J- -l Jw 000°0 0::: 0 0 

:::> 0.6 0 o~o 

~ 0 

0 0 0 

0 ooor:POOoo 0 

0::: 04 0 0 0 

0° W 0 0 0 0 

D- o 0 0 0 0 

:2 02 00 0° 0° -I 

0 0 0 0 00°0 

W 00 00 

f- 0 

0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.37 Tone Excited heated jet radial temperature profiles. 

.!=- Test Point 6 • w 
ol:-

ol:-

TEMPERATURE RADIAL PROFILES M. = 0806 J 

X/D= 1 X/D= 3 Uj = 391.9 m . S-1 

,-...... 

Tt = 671.8 K a 

lI 0.8 0 Tt/T 0 = 0.13 0 ...... 0 C- o 8 Rej = 381,815 0 

~ 0.6 0 0 

0 a 0 0 Le = 0 dB I- 04 0 I 0 

0 c- fe = 0 Hz o C- o 0.2 0 0 St· = 000 0 J 

0 

0 o ' 

~ X/O= 5 X/O= 7 X/O=9 

et:: 

0 000 0.8 -I IW o 0 

0 0 00000 et:: 0 

::) 0.6 0 

o 0 

oocPOoOo- 0 

~ 0 0 

0 00 

et:: 04 0 0 

0 0 

0 0 W 0 0 0 00 

0... 0 0 0 0 0 

2 02 0 0 0 0 

00 0 0 

W 00 00 0 00 

I- 0 

0 

-4 -3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS. Z/R 

Figure 2.38 Unexcited heated jet radial temperature profiles. 

Test Point 4. 
.j:oo 

U1 

,..-..... 0 

lI 

...... 

t 

~ 0 

II 

a. 

t 

0 

~ n::: 

W 

0::: 

:::> 

~ 0::: 

w 

0.. 

2 

W 

I0.8 

06 

04 

0.2 

0' 

O.B t 

0.6 

0.4 

02 

0 

-4 

TEMPERATURE RADIAL PROFILES MJ = 0.809 

X/D= 1 X/D=3 U -1 j = 430.6 m. S 

roo Tt = 810.6 K 

0 Tt/T 0 = 0.15 

8 

0 Rej = 305,556 8 8 

J Le = 0 dB 0 

0 0 fe = 0 Hz 

0 0 

0 stj = 0.00 0 0 

0 

I 

X/D=5 X/D= 7 X/D=9 

oootl -I t- -I to 0 

0 0 0 0 00000 0 0 0 0 

0 0 0 

0 00000000 0 

0 0 0 00 - 0 

0

0 0 0 0 

0 0 00 

00 cPo 0 0 

0 0 

0 00 ~o 

-3 -2 -1 0 1 -4 -3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, Z/R 

Figure 2.39 Unexcited heated jet radial temperature profiles. 

Test Point 5 • 
~ 

0'1 

....--.. 0 

lI O.B ........ 

I-

'-'" 

~ 06 

0 

I- 04 I 

0-

I-

'-'" 0.2 

0 0 

~ 0:::: 

W O.B 

a:: 

::::> 0.6 

~ a:: 04 

W 

0.... 

:2 02 

W 

f- 0 

-4 

TEMPERATURE RADIAL PROFILES 

x/o= 1 

0 

0 

0 0 

0 0 

0 0 

0 0 0 

0 

0 0 

0 

° 

X/O= 5 X/O= 7 

cPOo o 0 - ° ooogo 0 o 0 

° 0 

0 0 

0 

0 0 

0 

° ° 0 

0° 

0° 

0 0 

° 

-3 -2 -1 0 1 -4 -3 -2 -1 0 

DIMENSIONLESS RADIUS, 

MJ = 0.995 

UJ = 471.1 m .5-1 

Tt = 671.7 K 

Tt/T 0= 0.11 

ReJ = 503,437 

Le = 0 dB 

fe = 0 Hz 

stj = 0.00 

X/O=9 

-

I- 0°00000-

o 

° I- 0

0 

0°0 

I- 0

0 

0 0 

0 00 

cP', 

-4 -3 -2 -1 0 

Z/R 

Figure 2.40 Unexcited heated jet radial temperature profiles. 

Test Point 8. 
Po T 

Figure 0 

( kPa ) ( K ) 

2.21 98.408 294.8 

2.22 98.615 294.3 

2.23 2.32 99.443 293.7 

2.24 2.33 98.960 294.3 

2.25 2.34 99.236 292.0 

2.26 2.35 99.098 293.7 

2.27 2.36 99.167 294.3 

2.28 2.37 98.891 292.0 

2.29 2.38 99.374 294.3 

2.30 2.39 99.098 294.3 

2.31 2.40 98.822 294.3 

Table 2. 3 Ambient conditions. 

47 
The probe dynamic corrective curves, for five different jet total 

temperatures Tt = 287 K, 367 K, 490 K, 672 K, and 802 K, are shown in 

Figures 2.41 through 2.45. The correction curve at the total temperature 

of Tt = 367 K could not be completed at low Mach numbers. The reason for 

this was that the flame in the burner in the test facility becomes 

unstable at moderate flow temperatures and low air mass flows. Thus the 

values of the dynamic correction ratio for these flow and temperature 

conditions have to be interpolated from correction curves measured at the 

other flow and temperature conditions. 

48 
~ 

\0 

~ 

o 

~ 0:: 

Z 

o 

IW 

0:: 

0:: 

o 

(.) 

(.) 

~ « 

z 

5 

1f 

0.9 I-

-.. ,.,..... ----------",..,~ 

................ .... ...... -........ .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... .... .... .. .... .... .... ...... 

O.B , ____ ...a..._-'-_---' __ ...L...-_-'-_......r. __ .a...-_ ....... _.-.._---' 

o 0.2 0.4 06 0.8 1 

PROBE A01 

MACH NUMBER, M 

Tt = 287.3 K To = 291.5 K Tt / To = 0.99 

-0-- DYNAMIC CORRECTION RATIO, K = T p / T t 

_ ••• _._- STATIC TEMPERATURE, Ts / Tt 

Figure 2.41 Temperature probe dynamic calibration curve. 
VI 

0 

~ 

0 

~ ~ 

Z 

0 

I-

~ ~ 

0::: 

0 

U 

U 

~ « 

z 

6 

1 I 

0.9 t08 ..l 

0 0.2 

PROBE A01 

I ,..." 

~ .rL '" _()_~ o \J" 

.... .... .... .... .... 

0.4 0.6 

.... .... .... 

MACH NUMBER, M 

" .. .... 

Tt = 3665 K To = 292.6 K 

"" .... .... .... 

..l 

0.8 

.... .... .... .... 

"V 

.... ..... 

1 

Tt / To = 1.25 

----0-- DYNAMIC CORRECTION RATIO, K = T p / T t 

•••••••• STATIC TEMPERATURE, T s / T t 

Figure 2.42 Temperature probe dynamic calibration curve. 
VI 

~ 

~ 1 

o 

~ 0:: 

Z 

o 

I-

&3 

0:: 

0:: 

o 

o 

(.) 

2 

« 

z 

b 

0.9 

0.8 

o 

PROBE A01 

0.2 

"'''-4t __ _ 

---flit ... .... .... .... .... .... .... .... .... .... .... .... .... .... 

0.4 0 6 0.8 

MACH NUMBER, M 

T.t = 489.7 K To = 293.2 K 

.... .... .... .... .... .... 

1 

Tt I To = 1.67 

---0-- DYNAMIC CORRECTION RATIO. K = T piTt 

-------- STATIC TEMPERATURE, Ts / Tt 

Figure 2.43 Temperature probe dynamic calibration curve. 
VI 

I\.) 

~ 

0 

~ n::: 

z 

0 

n::: 

~ n::: 

0 

() 

u 

2 

« 

z 

>- 0 

1 

0.9 

O.B 

0 

PROBE A01 

................. 

.... , ........ ~1Iti_"", 

.... .... .... " . .... .... 

0.4 0.6 

.... .... 

MACH NUMBER, M 

.... .... .... .... 

Tt = 671.6 K To = 292.6 K 

.... .... .... 

0.8 

..... .... .... ..... .... ...... 

1 

Tt / To = 2.30 

~ DYNAMIC CORRECTION RATIO. K = T p / T t 

•••••••• STATIC TEMPERATURE, Ts / Tt 

Figure 2.44 Temperature probe dynamic calibration curve. 
VI 

W 

~ 

0 

~ a::: 

z 

0 

f= 

&3 

a::: 

a::: 

0 

() 

() 

2: 

« 

z 

6 

1 

0.9 

0.8 

0 

PROBE A01 

.. 'II ................ .. 

....... .., ... ,-

o 

o 

~ 

0.2 

B ..... ., ..... lIt ... 4t4it _, 

.... .... .... .... .... .... .... 

o 

~D 

0.4 0.6 

MACH NUMBER. M 

Tt = 801.5 K To = 294.3 K 

.... .... .... 

08 

.... .... .... 

1 

T t / T" = 2.72 

--<>- DYNAMIC CORRECTION RATIO. K = T p / T t 

-------- STATIC TEMPERATURE. Ts / Tt 

Figure 2.45 Temperature probe dynamic calibration curve. 
3.0 TABULATED FLOW DATA 

This section presents tabulated flow data duly corrected for the 

thermocouple recovery. The temperature corrections were made using the 

probe dynamic correction curves presented in Section 2.3. The correction 

procedure started with computation of local Mach number values using the 

measured total, probe, and ambient pressures, as mentioned in Section 2.1. 

Then, for a given plenum total temperature Tt and computed local Mach 

number, a value of a temperature probe correction ratio K was found using 

probe dynamic calibration curves, presented in Section 2.3. Finally, 

using the ratio K, a corrected local total temperature Tt was computed. 

The corrected local total temperatures and flow local Mach number data 

were used to compute flow local velocities and flow local static 

temperatures, also presented in this appendix. 

Tone excitation and jet operating conditions are presented at the head of 

each table. A summary of results presented is given in Table 3.1. 

54 
Table Excitation Jet exit Reservoir Test 

number Srouhal Mach number total point 

number temperature number 

3 .2 0 0.80 290 K 1 

3.3 0.41 0.80 291 K 1 

3.4 0 0.80 366 K 2 

3.5 0.39 0.80 369 K 2 

3.6 0 0.80 489 K 3 

3.7 0.35 0.80 489 K 3 

3.8 0 0.48 490 K 6 

3 .9 0.44 0.48 489 K 6 

3.10 0 0.81 672 K 4 

3 .11 0 0.81 810 K 5 

3.12 0 1.00 672 K 8 

Table 3.1 Summary of tabulated results. 

55 
56 

--------------------------------------------------------------------

Axial distance : X/D = 1 --------------------------------------------------------------------

Jet mean flow parameters 

Mj = 0.80 

Uj = 257 m/s 

Tt = 290 K 

Tt/To = 0.99 

Rej = 1.06 x 1,000,000 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.359 0.05 -1.219 292 284 127 

-1.312 0.22 -1.125 292 274 190 

-1.265 0.28 -1.078 292 270 213 

-1.219 0.38 -1.031 294 267 230 

-1.172 0.50 -0.984 295 267 239 

-1.125 0.57 -0.937 295 265 248 

-1.078 0.65 -0.890 295 263 255 

-1.031 0.70 -0.844 294 261 256 

-0.984 0.73 -0.797 292 259 257 

-0.937 0.76 -0.750 291 258 257 

-0.891 0.78 -0.703 290 257 257 

-0.844 0.79 -0.656 289 257 257 

-0.797 0.79 -0.609 289 256 257 

-0.750 0.80 -0.562 290 257 258 

-0.656 0.80 -0.516 290 257 258 

-0.562 0.80 -0.469 289 256 257 

-0.468 0.80 -0.422 289 256 257 

-0.375 0.80 -0.375 289 256 256 

-0.188 0.80 -0.281 289 256 256 

0.000 0.80 -0.187 289 256 256 

-0.093 289 256 257 

0.000 289 256 257 

--------------------------------------------------------------------

Table 3.2 Unexcited unheated jet. Test Point 1. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj == 257 m/s 

Tt = 290 K 

Tt/To = 0.99 

Rej = 1.06 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.687 0.11 -1.500 292 289 88 

-1.594 0.17 -1.312 292 282 137 

-1.500 0.26 -1.219 292 279 163 

-1.406 0.32 -1.125 292 275 186 

-1.312 0.41 -1.031 293 271 208 

-1.219 0.49 -0.937 294 270 220 

-1.125 0.56 -0.844 294 267 233 

-1.031 0.63 -0.750 295 266 241 

-0.937 0.67 -0.656 294 264 247 

-0.844 0.71 -0.562 294 262 252 

-0.750 0.74 -0.469 293 260 255 

-0.656 0.76 -0.375 292 259 257 

-0.562 0.78 -0.281 291 258 257 

-0.468 0.79 -0.187 290 257 257 

-0.375 0.79 -0.093 290 257 257 

-0.188 0.80 0.000 289 257 256 

0.000 0.80 

--------------------------------------------------------------------

Table 3.2 (continued) Unexcited unheated jet. Test Point 1. 

57 
58 

--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 257 m/s 

Tt = 290 K 

Tt/To = 0.99 

Rej = 1.07 x 1,000,000 

X/D = 5 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.062 0.10 -1.687 292 288 84 

-1.875 0.17 -1.500 291 285 113 

-1.687 0.25 -1.312 291 281 146 

-1.500 0.33 -1.125 292 276 177 

-1.312 0.43 -0.937 293 272 204 

-1.125 0.53 -0.750 294 268 227 

-0.937 0.62 -0.562 294 265 240 

-0.750 0.69 -0.375 293 262 250 

-0.562 0.74 -0.187 292 260 254 

-0.375 0.77 0.000 291 259 255 

-0.188 0.79 

0.000 0.79 

Table 3.2 (continued) Unexcited unheated jet. Test Point 1. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 258 mls 

Tt = 290 K 

Tt/To = 0.98 

Rej = 1.07 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.05 -1.875 293 290 81 

-2.437 0.09 -1.687 293 287 101 

-2.250 0.14 -1.500 292 285 123 

-2.062 0.18 -1.312 293 282 145 

-1.875 0.24 -1.125 293 279 167 

-1.687 0.30 -0.937 294 276 187 

-1.500 0.36 -0.750 295 273 207 

-1.312 0.43 -0.562 295 271 222 

-1.125 0.50 -0.375 296 269 232 

-0.937 0.56 -0.187 295 267 239 

-0.750 0.62 0.000 295 266 243 

-0.562 0.67 

-0.375 0.71 

-0.188 0.73 

0.000 0.74 

--------------------------------------------------------------------

Table 3.2 (continued) Unexcited unheated jet. Test Point 1. 

59 
60 

--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj :: 257 m/s 

Tt = 290 K 

Tt/To = 0.98 

Rej = 1.06 x 1,000,000 

X/D :: 9 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.000 0.05 -2.250 294 292 64 

-2.813 0.08 -2.062 293 290 76 

-2.625 0.11 -1.875 293 289 92 

-2.437 0.15 -1.687 293 287 110 

-2.250 0.19 -1.500 293 285 124 

-2.062 0.22 -1.312 293 283 142 

-1.875 0.27 -1.125 293 280 160 

-1.687 0.32 -0.937 294 278 176 

-1.500 0.37 -0.750 294 277 187 

-1.312 0.42 -0.562 295 275 199 

-1.125 0.48 -0.375 295 273 211 

-0.937 0.53 -0.187 296 272 218 

-0.750 0.56 0.000 296 273 218 

-0.562 0.60 

-0.375 0.64 

-0.188 0.66 

0.000 0.66 

--------------------------------------------------------------------

Table 3.2 (concluded) Unexcited unheated jet. Test Point 1. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 257 m/s 

Tt = 291 K 

Tt/To = 0.99 

Rej = 1.07 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Stj = 0.41 

fe = 2080 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.359 0.07 -1.219 291 283 126 

-1.312 0.22 -1.125 293 276 187 

-1.265 0.30 -1.078 295 273 208 

-1.219 0.37 -1.031 296 271 226 

-1.172 0.49 -0.984 297 269 239 

-1.125 0.56 -0.937 297 267 247 

-1.078 0.63 -0.890 297 265 251 

-1.031 0.68 -0.844 296 263 255 

-0.984 0.73 -0.797 294 261 255 

-0.937 0.75 -0.750 293 260 256 

-0.891 0.77 -0.703 292 259 255 

-0.844 0.78 -0.656 291 258 255 

-0.797 0.79 -0.609 290 258 255 

-0.750 0.79 -0.562 290 258 256 

-0.656 0.79 -0.516 290 258 256 

-0.562 0.79 -0.469 290 258 256 

-0.468 0.79 -0.422 290 258 256 

-0.375 0.79 -0.375 290 258 256 

-0.188 0.79 -0.281 291 258 255 

0.000 0.79 -0.187 291 258 255 

-0.093 291 258 256 

0.000 291 258 256 

--------------------------------------------------------------------

Table 3.3 Tone excited unheated jet. Test Point 1. 

61 
62 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 257 m/s 

Tt = 291 K 

Tt/To = 0.99 

Rej = 1.06 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Stj = 0.41 

fe = 2080 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.687 0.11 -1.500 292 289 70 

-1.594 0.15 -1.312 292 285 125 

-1.500 0.20 -1.219 294 282 154 

-1.406 0.29 -1.125 295 280 176 

-1.312 0.37 -1.031 298 278 197 

-1.219 0.46 -0.937 299 276 212 

-1.125 0.52 -0.844 299 274 227 

-1.031 0.59 -0.750 299 271 238 

-0.937 0.64 -0.656 298 268 245 

-0.844 0.68 -0.562 297 265 252 

-0.750 0.72 -0.469 295 263 255 

-0.656 0.75 -0.375 294 261 256 

-0.562 0.77 -0.281 293 260 256 

-0.468 0.78 -0.187 292 259 257 

-0.375 0.79 -0.093 291 259 256 

-0.188 0.79 0.000 291 258 256 

0.000 0.79 

--------------------------------------------------------------------

Table 3.3 (continued) Tone excited unheated jet. Test Point 1. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 257 m/s 

Tt = 291 K 

Tt/To = 0.99 

Rej = 1.07 x 1,000,000 

X/D = 5 

Acoustic excitation parameters 

Stj = 0.41 

fe = 2080 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.062 0.09 -1.687 293 291 72 

-1.875 0.13 -1.500 293 289 91 

-1.687 0.21 -1.312 293 287 118 

-1.500 0.27 -1.125 295 283 153 

-1.312 0.35 -0.937 297 281 179 

-1.125 0.45 -0.750 298 277 207 

-0.937 0.53 -0.562 299 274 223 

-0.750 0.62 -0.375 299 270 238 

-0.562 0.67 -0.187 298 268 246 

-0.375 0.72 0.000 296 265 251 

-0.188 0.75 . 

0.000 0.77 

Table 3.3 (continued) Tone excited unheated jet. Test Point 1. 

63 
64 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 258 m/s 

Tt = 291 K 

Tt/To = 0.99 

Rej = 1.07 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Stj = 0.41 

fe = 2080 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.07 -1.875 296 294 72 

-2.437 0.10 -1.687 296 292 88 

-2.250 0.12 -1.500 296 290 106 

-2.062 0.17 -1.312 296 289 124 

-1.875 0.21 -1.125 297 286 144 

-1.687 0.26 -0.937 297 284 163 

-1.500 0.31 -0.750 298 282 182 

-1.312 0.37 -0.562 299 279 197 

-1.125 0.42 -0.375 299 277 212 

-0.937 0.48 -0.187 300 275 222 

-0.750 0.54 0.000 300 274 226 

-0.562 0.59 

-0.375 0.63 

-0.188 0.67 

0.000 0.68 

Table 3.3 (continued) Tone excited unheated jet. Test Point 1. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 258 mls 

Tt = 291 K 

Tt/To = 0.99 

Rej = 1.07 x 1,000,000 

X/D = 9 

Acoustic excitation parameters 

Stj = 0.41 

fe = 2080 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.187 0.06 -2.250 295 293 65 

-3.000 0.08 -2.062 295 292 74 

-2.813 0.10 -1.875 295 291 86 

-2.625 0.13 -1.687 295 290 96 

-2.437 0.15 -1.500 295 289 111 

-2.250 0.19 -1.312 295 288 121 

-2.062 0.22 -1.125 296 286 140 

-1.875 0.25 -0.937 296 285 152 

-1.687 0.28 -0.750 297 283 164 

-1.500 0.33 -0.562 297 282 174 

-1.312 0.36 -0.375 298 281 185 

-1.125 0.41 -0.187 299 280 191 

-0.937 0.45 0.000 299 281 191 

-0.750 0.49 

-0.562 0.52 

-0.375 0.55 

-0.188 0.57 

0.000 0.57 

Table 3.3 (concluded) Tone excited unheated jet. Test Point 1. 

65 
66 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 289 m/s 

Tt = 366 K 

Tt/To = 1.24 

Rej = 0.80 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.265 0.21 -1.219 318 313 103 

-1.219 0.29 -1.125 332 319 164 

-1.172 0.38 -1.031 348 322 228 

-1.125 0.46 -0.937 357 323 263 

-1.078 0.55 -0.890 358 321 273 

-1.031 0.63 -0.844 358 319 279 

-0.984 0.69 -0.797 359 319 284 

-0.937 0.73 -0.750 358 318 284 

-0.891 0.76 -0.703 358 318 284 

-0.844 0.78 -0.656 359 318 285 

-0.797 0.79 -0.609 359 319 285 

-0.750 0.79 -0.562 360 320 285 

-0.656 0.80 -0.516 362 321 286 

-0.562 0.79 -0.469 362 322 286 

-0.468 0.80 -0.422 363 322 287 

-0.375 0.80 -0.375 363 322 288 

-0.188 0.80 -0.281 365 323 288 

0.000 0.80 -0.187 365 324 288 

-0.093 365 324 288 

0.000 365 324 288 

--------------------------------------------------------------------

Table 3.4 Unexcited heated jet. Test Point 2. 
--------------------------------------------------------------------

Axial distance : X/D = 3 

--------------------------------------------------------------------

Jet mean flow parameters 

Mj = 0.80 

Uj = 289 m/s 

Tt = 365 K 

Tt/To = 1.24 

Rej = 0.80 x 1,000,000 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.688 0.10 -1.500 313 310 79 

-1.687 0.11 -1.313 323 314 135 

-1.594 0.16 -1.312 324 315 135 

-1.500 0.22 -1.219 329 315 166 

-1.406 0.30 -1.125 334 316 193 

-1.312 0.38 -1.031 340 316 218 

-1.219 0.47 -0.937 346 318 237 

-1.125 0.54 -0.844 350 319 252 

-1.031 0.61 -0.750 353 319 262 

-0.937 0.66 -0.656 354 317 271 

-0.844 0.70 -0.562 356 318 278 

-0.750 0.73 -0.469 358 318 283 

-0.656 0.76 -0.375 359 319 285 

-0.562 0.78 -0.281 361 320 286 

-0.468 0.79 -0.187 362 321 287 

-0.375 0.80 -0.093 363 322 288 

-0.188 0.80 0.000 364 323 288 

0.000 0.80 

--------------------------------------------------------------------

Table 3.4 (continued) Unexcited heated jet. Test Point 2. 

67 
68 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 289 m/s 

Tt = 366 K 

Tt/To = 1.24 

Rej = 0.80 x 1,000,000 

X/D = 5 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.250 0.05 -1.687 318 314 85 

-2.062 0.10 -1.500 324 316 120 

-1.875 0.16 -1.312 330 318 154 

-1.687 0.24 -1.125 337 320 185 

-1.500 0.34 -0.937 344 321 219 

-1.312 0.43 -0.750 351 321 244 

-1.125 0.52 -0.562 356 321 263 

-0.937 0.61 -0.375 360 322 274 

-0.750 0.68 -0.187 362 323 281 

-0.562 0.73 0.000 363 323 283 

-0.375 0.76 

-0.188 0.78 

0.000 0.79 

Table 3.4 (continued) Unexcited heated jet. Test Point 2. 
--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 289 m/s 

Tt = 366 K 

Tt/To = 1.25 

Rej = 0.80 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.06 -1.875 316 312 84 

-2.437 0.10 -1.687 320 314 106 

-2.250 0.14 -1.500 324 315 130 

-2.062 0.18 -1.312 329 317 154 

-1.875 0.24 -1.125 334 318 177 

-1.687 0.30 -0.937 340 320 200 

-1.500 0.36 -0.750 345 320 223 

-1.312 0.43 -0.562 350 321 242 

-1.125 0.49 -0.375 354 321 258 

-0.937 0.56 -0.187 357 322 264 

-0.750 0.62 0.000 358 323 267 

-0.562 0.67 

-0.375 0.72 

-0.188 0.73 

0.000 0.74 

--------------------------------------------------------------------

Table 3.4 (continued) Unexcited heated jet. Test PoinL 2. 

69 
70 

--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 289 m/s 

Tt = 367 K 

Tt/To = 1.25 

Rej = 0.80 x 1,000,000 

X/D = 9 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.000 0.07 -2.437 310 309 55 

-2.812 0.09 -2.250 312 310 71 

-2.625 0.13 -2.062 315 312 82 

-2.437 0.16 -1.875 318 313 99 

-2.250 0.20 -1.687 321 315 116 

-2.062 0.23 -1.500 324 315 134 

-1.875 0.28 -1.312 329 317 150 

-1.687 0.33 -1.125 333 318 171 

-1.500 0.38 -0.937 336 319 188 

-1.312 0.42 -0.750 341 321 204 

-1.125 0.48 -0.562 345 321 219 

-0.937 0.52 -0.375 348 322 228 

-0.750 0.57 -0.187 351 323 235 

-0.562 0.61 0.000 351 323 237 

-0.375 0.63 

-0.188 0.65 

0.000 0.66 

Table 3.4 (concluded) Unexcited heated jet. Test Point 2. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 290 m/s 

Tt = 369 K 

Tt/To = 1.25 

Rej = 0.79 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Stj = 0.39 

fe = 2240 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.312 0.20 -1.219 325 317 127 

-1.265 0.28 -1.125 340 321 196 

-1.219 0.36 -1.078 346 320 230 

-1.172 0.47 -1.031 355 324 248 

-1.125 0.54 -0.984 357 323 262 

-1.078 0.64 -0.937 359 323 271 

-1.031 0.69 -0.890 360 322 276 

-0.984 0.73 -0.844 359 320 282 

-0.937 0.75 -0.797 359 319 284 

-0.876 0.77 -0.750 360 319 285 

-0.844 0.79 -0.703 360 319 285 

-0.797 0.79 -0.656 360 320 285 

-0.750 0.79 -0.609 362 321 286 

-0.656 0.80 -0.562 363 322 286 

-0.562 0.80 -0.501 364 323 287 

-0.468 0.80 -0.469 365 324 287 

-0.375 0.80 -0.422 366 325 288 

-0.188 0.80 -0.375 367 326 288 

0.000 0.80 -0.281 368 327 289 

-0.187 369 327 289 

-0.093 369 328 289 

0.000 369 328 289 

--------------------------------------------------------------------

Table 3.5 Tone excited heated jet. Test Point 2. 

71 
72 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 290 m/s 

Tt = 370 K 

Tt/To = 1.26 

Rej = 0.78 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Stj = 0.39 

fe = 2240 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.875 0.09 -1.687 321 319 61 

-1.687 0.17 -1.500 327 322 98 

-1.594 0.23 -1.312 331 321 144 

-1.500 0.27 -1.219 336 322 168 

-1.406 0.33 -1.125 340 321 195 

-1.312 0.40 -1.031 345 321 219 

-1.219 0.47 -0.937 350 322 239 

-1.125 0.54 -0.844 354 322 254 

-1.031 0.61 -0.750 358 322 266 

-0.937 0.66 -0.656 360 323 275 

-0.844 0.70 -0.562 363 324 279 

-0.750 0.74 -0.469 364 325 283 

-0.656 0.76 -0.375 366 325 285 

-0.562 0.77 -0.281 367 326 287 

-0.468 0.78 -0.187 368 327 288 

-0.375 0.79 -0.093 369 327 288 

-0.188 0.80 0.000 369 328 288 

0.000 0.79 

--------------------------------------------------------------------

Table 3.5 (continued) Tone excited heated jet. Test Point 2. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 290 m/s 

Tt = 369 K 

Tt/To = 1.25 

Rej = 0.79 x 1,000,000 

X/D = 5 

Acoustic excitation parameters 

Stj = 0.39 

fe = 2240 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.07 -1.875 322 318 84 

-2.437 0.10 -1.687 325 320 102 

-2.250 0.13 -1.500 328 320 126 

-2.062 0.18 -1.312 331 321 142 

-1.875 0.23 -1.125 336 323 166 

-1.687 0.28 -0.937 341 322 195 

-1.500 0.35 -0.750 347 321 227 

-1.312 0.39 -0.562 353 322 249 

-1.125 0.46 -0.375 359 324 267 

-0.937 0.54 -0.187 363 325 276 

-0.750 0.63 0.000 364 326 278 

-0.562 0.69 

-0.375 0.74 

-0.188 0.76 

0.000 0.77 

Table 3.5 (continued) Tone excited heated jet. Test Point 2. 

73 
74 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 290 m/s 

Tt = 370 K 

Tt/To = 1.26 

Rej = 0.78 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Stj = 0.39 

fe = 2240 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.000 0.09 -2.250 319 316 71 

-2.812 0.10 -2.062 321 318 78 

-2.625 0.12 -1.875 324 319 93 

-2.437 0.14 -1.687 325 320 103 

-2.250 0.20 -1.500 328 320 127 

-2.062 0.22 -1.312 332 322 137 

-1.875 0.26 -1.125 335 323 157 

-1.687 0.29 -0.937 338 322 180 

-1.500 0.35 -0.750 343 323 198 

-1.312 0.38 -0.562 347 324 216 

-1.125 0.44 -0.375 351 324 230 

-0.937 0.50 -0.187 353 325 239 

-0.750 0.55 0.000 355 326 241 

-0.562 0.60 

-0.375 0.64 

-0.188 0.66 

0.000 0.67 

Table 3.5 (continued) Tone excited heated jet. Test Point 2. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 290 m/s 

Tt = 369 K 

Tt/To = 1.25 

Rej = 0.79 x 1,000,000 

x/n = 9 

Acoustic excitation parameters 

Stj = 0.39 

fe = 2240 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.750 0.06 -2.625 317 314 70 

-3.562 0.07 -2.555 318 316 72 

-3.375 0.09 -2.437 321 318 74 

-3.187 0.11 -2.062 321 317 92 

-3.000 0.13 -1.875 324 319 97 

-2.930 0.15 -1.687 325 319 117 

-2.812 0.19 -1.500 326 318 127 

-2.437 0.21 -1.312 330 321 132 

-2.250 0.24 -1.125 332 322 142 

-2.062 0.26 -0.937 333 321 154 

-1.875 0.27 -0.750 335 321 167 

-1.687 0.33 -0.562 338 322 176 

-1.500 0.36 -0.375 340 323 184 

-1.312 0.37 -0.187 341 323 189 

-1.125 0.39 0.000 343 324 193 

-0.937 0.43 

-0.750 0.46 

-0.562 0.49 

-0.375 0.51 

-0.188 0.53 

0.000 0.54 

Table 3.5 (concluded) Tone excited heated jet. Test Point 2. 

75 
76 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (ml s) 

--------------------------------------------------------------------

-1.265 0.11 -1.125 386 372 171 

-1.219 0.24 -1.078 401 381 200 

-1.172 0.34 -1.031 424 396 237 

-1.125 0.44 -0.984 439 403 268 

-1.078 0.51 -0.937 455 412 293 

-1.031 0.59 -0.890 461 416 300 

-0.984 0.67 -0.844 466 417 315 

-0.937 0.72 -0.797 462 411 319 

-0.891 0.74 -0.750 464 412 322 

-0.844 0.77 -0.703 467 415 324 

-0.797 0.79 -0.656 468 416 325 

-0.750 0.79 -0.609 472 419 325 

-0.656 0.80 -0.562 475 422 326 

-0.562 0.79 -0.516 477 424 327 

-0.468 0.79 -0.469 481 427 328 

-0.375 0.80 -0.422 483 428 330 

-0.188 0.80 -0.375 483 429 331 

0.000 0.80 -0.281 487 432 331 

-0.187 490 435 332 

-0.093 490 435 332 

0.000 489 434 332 

--------------------------------------------------------------------

Table 3.6 Unexcited heated jet. Test Point 3. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.687 0.09 -1.500 351 348 77 

-1.594 0.14 -1.312 369 360 135 

-1.500 0.20 -1.219 381 368 166 

-1.406 0.28 -1.125 398 378 198 

-1.312 0.35 -1.031 413 387 228 

-1.219 0.43 -0.937 429 396 255 

-1.125 0.51 -0.844 440 401 277 

-1.031 0.58 -0.750 447 405 292 

-0.937 0.64 -0.656 445 399 301 

-0.844 0.69 -0.562 449 401 309 

-0.750 0.73 -0.469 455 405 315 

-0.656 0.75 -0.375 463 412 321 

-0.562 0.77 -0.281 468 416 324 

-0.468 0.78 -0.187 476 422 327 

-0.375 0.79 -0.093 482 427 329 

-0.188 0.80 0.000 483 429 330 

0.000 0.80 

--------------------------------------------------------------------

Table 3.6 (continued) Unexcited heated jet. Test Point 3. 

71 
78 

--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 5 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.437 0.06 -1.687 355 351 93 

-2.062 0.10 -1.500 370 362 127 

-1.875 0.17 -1.312 383 369 167 

-1.687 0.25 -1.125 402 381 203 

-1.500 0.33 -0.937 423 394 243 

-1.312 0.43 -0.750 437 399 274 

-1.125 0.52 -0.562 449 405 297 

-0.937 0.61 -0.375 458 411 310 

-0.750 0.69 -0.187 468 417 320 

-0.562 0.74 0.000 473 421 323 

-0.375 0.76 

-0.188 0.78 

0.000 0.79 

Table 3.6 (continued) Unexcited heated jet. Test Point 3. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 490 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.06 -1.875 355 351 89 

-2.437 0.10 -1.687 365 359 112 

-2.250 0.14 -1.500 374 364 138 

-2.062 0.19 -1.312 385 371 165 

-1.875 0.24 -1.125 397 379 189 

-1.687 0.30 -0.937 411 388 218 

-1.500 0.36 -0.750 423 394 242 

-1.312 0.43 -0.562 436 400 267 

-1.125 0.49 -0.375 444 404 284 

-0.937 0.55 -0.187 451 408 294 

-0.750 0.61 0.000 456 411 300 

-0.562 0.67 

-0.375 0.71 

-0.188 0.73 

0.000 0.74 

--------------------------------------------------------------------

Table 3.6 (continued) Unexcited heated jet. Test Point 3. 

79 
80 

--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 490 K 

Tt/To = 1.68 

Rej = 0.56 x 1,000,000 

X/D = 9 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.000 0.06 -2.437 343 341 56 

-2.812 0.10 -2.250 346 343 72 

-2.625 0.12 -2.062 352 348 89 

-2.437 0.15 -1.875 359 353 103 

-2.250 0.19 -1.687 366 359 121 

-2.062 0.24 -1.500 373 363 141 

-1.875 0.27 -1.312 382 369 159 

-1.687 0.32 -1.125 391 375 181 

-1.500 0.37 -0.937 400 380 202 

-1.312 0.41 -0.750 410 386 220 

-1.125 0.47 -0.562 418 390 236 

-0.937 0.52 -0.375 426 394 250 

-0.750 0.56 -0.187 430 397 257 

-0.562 0.60 0.000 433 399 260 

-0.375 0.63 

-0.188 0.64 

0.000 0.65 

--------------------------------------------------------------------

Table 3.6 (concluded) Unexcited heated iet. Test Point 3. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Stj = 0.35 

fe = 2280 Hz 

Le = 147 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.219 0.15 -1.125 363 356 123 

-1.172 0.25 -1.078 379 366 161 

-1.125 0.33 -1.031 394 373 203 

-1.078 0.42 -0.984 412 384 234 

-1.031 0.52 -0.937 429 393 267 

-0.984 0.60 -0.890 439 397 290 

-0.937 0.67 -0.844 445 400 302 

-0.891 0.73 -0.797 452 404 311 

-0.844 0.75 -0.750 454 404 316 

-0.797 0.77 -0.703 455 404 317 

-0.750 0.79 -0.656 456 405 318 

-0.656 0.79 -0.609 458 407 319 

-0.562 0.79 -0.562 462 410 321 

-0.468 0.79 -0.516 467 415 323 

-0.375 0.79 -0.469 470 417 325 

-0.188 0.79 -0.422 474 421 326 

0.000 0.79 -0.375 478 425 328 

-0.281 482 428 329 

-0.187 485 431 330 

-0.093 487 433 331 

0.000 488 433 331 

--------------------------------------------------------------------

Table 3.7 Tone excited heated jet. Test Point 3. 

81 
82 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 490 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Stj = 0.35 

fe = 2280 Hz 

Le = 147 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.875 0.06 -1.500 355 351 95 

-1.687 0.15 -1.312 376 364 154 

-1.594 0.20 -1.219 385 368 189 

-1.500 0.25 -1.125 398 375 214 

-1.406 0.33 -1.031 409 379 244 

-1.312 0.40 -0.937 420 385 265 

-1.219 0.49 -0.844 431 392 281 

-1.125 0.55 -0.750 438 395 294 

-1.031 0.63 -0.656 449 402 306 

-0.937 0.67 -0.562 457 407 314 

-0.844 0.71 -0.469 465 413 321 

-0.750 0.74 -0.375 473 420 325 

-0.656 0.76 -0.281 479 425 327 

-0.562 0.78 -0.187 483 429 329 

-0.468 0.79 -0.093 486 432 330 

-0.375 0.79 0.000 489 434 331 

-0.188 0.80 

0.000 0.79 

--------------------------------------------------------------------

Table 3.7 (continued) Tone excited heated jet. Test Point 3. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 489 K 

Tt/To = 1.67 

Rej = 0.56 x 1,000,000 

X/D = 5 

Acoustic excitation parameters 

Stj = 0.35 

fe = 2280 Hz 

Le = 147 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.250 0.08 -1.687 353 348 99 

-2.062 0.13 -1.500 365 357 130 

-1.875 0.19 -1.312 380 366 163 

-1.687 0.26 -1.125 395 376 198 

-1.500 0.34 -0.937 409 382 235 

-1.312 0.43 -0.750 423 389 264 

-1.125 0.51 -0.562 441 399 288 

-0.937 0.60 -0.375 453 407 306 

-0.750 0.67 -0.187 464 414 316 

-0.562 0.72 0.000 470 419 319 

-0.375 0.76 

-0.188 0.78 

0.000 0.78 

Table 3.7 (continued) Tone excited heated jet. Test Point 3. 

83 
84 

Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 mls 

Tt = 489 K 

Tt/To = 1.67 

Rej = 0.56 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Stj = 0.35 

fe = 2280 Hz 

Le = 147 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.07 -2.250 336 334 60 

-2.437 0.12 -2.062 345 342 72 

-2.250 0.16 -1.875 353 349 90 

-2.062 0.20 -1.687 359 353 105 

-1.875 0.24 -1.500 367 359 131 

-1.687 0.28 -1.312 375 364 152 

-1.500 0.34 -1.125 386 371 177 

-1.312 0.40 -0.937 396 375 206 

-1.125 0.46 -0.750 406 380 229 

-0.937 0.53 -0.562 420 389 250 

-0.750 0.59 -0.375 429 393 268 

-0.562 0.63 -0.187 434 396 276 

-0.375 0.67 0.000 437 399 277 

-0.188 0.69 

0.000 0.69 

--------------------------------------------------------------------

Table 3.7 (continued) Tone excited heated jet. Test Point 3. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.80 

Uj = 334 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.56 x 1,000,000 

X/D = 9 

Acoustic excitation parameters 

Stj = 0.35 

fe = 2280 Hz 

Le = 147 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tern. St. tern. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.187 0.06 -2.250 342 340 67 

-3.000 0.07 -2.062 346 342 84 

-2.812 0.10 -1.875 351 346 100 

-2.625 0.13 -1.687 359 353 113 

-2.437 0.15 -1.500 365 356 128 

-2.250 0.18 -1.303 370 360 148 

-2.062 0.23 -1.125 377 364 160 

-1.875 0.27 -0.937 385 369 178 

-1.678 0.30 -0.750 390 371 195 

-1.500 0.34 -0.562 399 377 208 

-1.312 0.39 -0.375 405 380 222 

-1.125 0.42 -0.187 408 383 228 

-0.937 0.46 0.000 411 385 228 

-0.750 0.50 

-0.562 0.54 

-0.375 0.57 

-0.188 0.58 

0.000 0.58 

Table 3.7 (concluded) Tone excited heated jet. Test Point 3. 

85 
86 

Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 mls 

Tt = 490 K 

Tt/To = 1.66 

Rej = 0.30 x 1,000,000 

XID = 1 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.406 0.07 -1.219 380 376 90 

-1.359 0.10 -1.172 389 383 109 

-1.312 0.15 -1.125 396 388 126 

-1.265 0.19 -1.078 399 389 142 

-1.219 0.23 -1.031 401 389 156 

-1.172 0.28 -0.984 408 394 168 

-1.125 0.32 -0.937 416 400 178 

-1.078 0.36 -0.890 421 404 185 

-1.031 0.39 -0.844 429 411 189 

-0.984 0.42 -0.797 433 414 192 

-0.937 0.44 -0.750 440 421 195 

-0.891 0.46 -0.703 446 427 197 

-0.844 0.47 -0.656 450 430 198 

-0.797 0.47 -0.609 455 435 199 

-0.750 0.47 -0.562 462 441 201 

-0.656 0.48 -0.516 468 448 202 

-0.562 0.48 -0.469 471 450 202 

-0.468 0.48 -0.422 475 454 202 

-0.375 0.47 -0.375 478 458 203 

-0.188 0.48 -0.281 482 461 204 

0.000 0.48 -0.187 484 463 204 

-0.093 485 464 205 

0.000 486 465 206 

--------------------------------------------------------------------

Table 3.8 Unexcited heated jet. Test Point 6. 
--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.30 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.875 0.07 -1.500 360 358 67 

-1.687 0.12 -1.312 374 370 92 

-1.594 0.15 -1.219 383 377 106 

-1.500 0.18 -1.125 390 383 120 

-1.406 0.21 -1.031 398 389 133 

-1.312 0.24 -0.937 403 393 145 

-1.219 0.27 -0.844 413 400 159 

-1.125 0.31 -0.750 418 404 170 

-1.031 0.34 -0.656 427 411 180 

-0.937 0.37 -0.562 436 419 187 

-0.844 0.40 -0.469 446 428 193 

-0.750 0.42 -0.375 455 436 198 

-0.656 0.44 -0.281 464 444 200 

-0.562 0.46 -0.187 471 451 202 

-0.468 0.47 -0.093 477 457 203 

-0.375 0.47 0.000 481 460 204 

-0.188 0.48 

0.000 0.48 

--------------------------------------------------------------------

Table 3.8 (continued) Unexcited heated jet. Test Point 6. 

87 
88 

Axial distance : 

Jet mean flow parameters I 

Mj = 0.48 

Uj = 208 m/s 

Tt = 490 K 

Tt/To = 1.66 

Rej = 0.30 x 1,000,000 

x/n = 5 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.250 0.07 -1.687 356 354 65 

-2.062 0.10 -1.500 366 363 79 

-1.875 0.13 -1.312 378 373 99 

-1.687 0.17 -1.125 387 381 115 

-1.500 0.21 -0.937 400 391 132 

-1.312 0.26 -0.750 409 397 150 

-1.125 0.29 -0.562 419 406 166 

-0.937 0.33 -0.375 432 416 179 

-0.750 0.38 -0.187 442 425 187 

-0.562 0.41 0.000 450 431 191 

-0.375 0.44 

-0.188 0.45 

0.000 0.46 

Table 3.8 (continued) Unexcited heated jet. Test Point 6. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 490 K 

Tt/To = 1.66 

Rej = 0.31 x 1,000,000 

Radius Mach no. 

Z/R M 

-2.812 0.06 

-2.625 0.07 

-2.437 0.10 

-2.250 0.11 

-2.062 0.14 

-1.875 0.16 

-1.687 0.19 

-1.500 0.22 

-1.312 0.24 

-1.125 0.28 

-0.937 0.31 

-0.750 0.34 

-0.562 0.36 

-0.375 0.38 

-0.188 0.40 

0.000 0.40 

Radius 

Z/R 

-1.687 

-1.500 

-1.312 

-1.125 

-0.937 

-0.750 

-0.562 

-0.375 

-0.187 

0.000 

X/D = 7 

Acoustic excitation parameters 

Unexcited 

Tot. tem. St. tem. Velocity 

T (K) Ts (K) U (m/s) 

360 357 73 

368 365 83 

375 370 93 

382 376 108 

389 382 122 

398 389 133 

405 395 143 

410 398 153 

415 402 160 

418 405 162 

--------------------------------------------------------------------

Table 3.8 (continued) Unexcited heated jet. Test Point 6. 

89 
90 

--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 207 m/s 

Tt = 489 K 

Tt/To = 1.68 

Rej = 0.30 x 1,000,000 

Radius Mach no. 

Z/R M 

-3.187 0.06 

-3.000 0.06 

-2.812 0.08 

-2.625 0.10 

-2.437 0.11 

-2.250 0.13 

-2.062 0.15 

-1.875 0.17 

-1.687 0.19 

-1.500 0.21 

-1.312 0.24 

-1.125 0.26 

-0.937 0.27 

-0.750 0.29 

-0.562 0.31 

-0.375 0.32 

-0.188 0.33 

0.000 0.33 

Radius 

Z/R 

-1.875 

-1.687 

-1.500 

-1.312 

-1.125 

-0.937 

-0.750 

-0.562 

-0.375 

-0.187 

0.000 

X/D = 9 

Acoustic excitation parameters 

Unexcited 

Tot. tern. St. tern. Velocity 

T (K) Ts (K) U (m/s) 

353 351 62 

358 355 71 

363 359 79 

368 364 90 

373 368 98 

380 375 105 

385 378 114 

388 381 121 

392 384 126 

394 386 130 

396 388 131 

Table 3.8 (concluded) Unexcited heated jet. Test Point 6. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 489 K 

Tt/To = 1.67 

Rej = 0.30 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Stj = 0.44 

fe = 1780 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.406 0.07 -1.219 381 377 90 

-1.359 0.10 -1.172 385 380 108 

-1.312 0.14 -1.125 391 384 126 

-1.265 0.19 -1.078 394 384 141 

-1.219 0.23 -1.031 399 387 154 

-1.172 0.28 -0.984 406 392 165 

-1.125 0.32 -0.937 412 397 175 

-1.078 0.36 -0.890 419 403 183 

-1.031 0.39 -0.844 421 404 186 

-0.984 0.42 -0.797 428 410 190 

-0.937 0.44 -0.750 438 419 193 

-0.891 0.46 -0.703 442 423 195 

-0.844 0.46 -0.656 447 428 196 

-0.797 0.47 -0.609 452 433 197 

-0.750 0.47 -0.562 459 439 199 

-0.656 0.47 -0.516 464 444 200 

-0.562 0.47 -0.469 468 448 200 

-0.468 0.47 -0.422 471 451 201 

-0.375 0.47 -0.375 474 454 202 

-0.188 0.47 -0.281 480 459 203 

0.000 0.47 -0.187 483 462 203 

-0.093 485 465 204 

0.000 487 466 204 

--------------------------------------------------------------------

Table 3.9 Tone excited heated jet. Test Point 6. 

91 
92 

Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.31 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Stj = 0.44 

fe = 1780 Hz 

Le = 149 dB 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.875 0.07 -1.500 363 361 67 

-1.687 0.12 -1.312 377 373 89 

-1.594 0.15 -1.219 383 378 102 

-1.500 0.18 -1.125 390 383 117 

-1.406 0.20 -1.031 395 387 131 

-1.312 0.23 -0.937 399 389 144 

-1.219 0.26 -0.844 403 391 157 

-1.125 0.30 -0.750 411 397 167 

-1.031 0.33 -0.656 417 402 175 

-0.937 0.36 -0.562 427 410 183 

-0.844 0.40 -0.469 437 419 190 

-0.750 0.42 -0.375 445 427 194 

-0.656 0.44 -0.281 454 435 197 

-0.562 0.45 -0.187 465 445 201 

-0.468 0.46 -0.093 472 451 202 

-0.375 0.47 0.000 477 457 204 

-0.188 0.48 

0.000 0.48 

--------------------------------------------------------------------

Table 3.9 (continued) Tone excited heated jet. Test Point 6. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 489 K 

Tt/To = 1.66 

Rej = 0.31 x 1,000,000 

Radius Mach no. 

Z/R M 

Radius 

Z/R 

X/D = 5 

Acoustic excitation parameters 

Stj = 0.44 

fe = 1780 Hz 

Le = 149 dB 

Tot. tem. 

T (K) 

St. 

Ts 

tem. Velocity 

(K) U (m/s) 

--------------------------------------------------------------------

-2.437 0.06 -1.687 359 357 64 

-2.250 0.08 -1.500 367 364 77 

-2.062 0.11 -1.312 376 372 93 

-1.875 0.14 -1.125 384 378 109 

-1.687 0.17 -0.937 393 385 128 

-1.500 0.20 -0.750 402 392 144 

-1.312 0.24 -0.562 411 399 160 

-1.125 0.28 -0.375 421 406 173 

-0.937 0.32 -0.187 431 414 183 

-0.750 0.36 0.000 439 422 186 

-0.562 0.40 

-0.375 0.43 

-0.188 0.45 

0.000 0.45 

Table 3.9 (continued) Tone excited heated jet. Test Point 6. 

93 
94 

Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 488 K 

Tt/To = 1.67 

Rej = 0.30 x 1,000,000 

Radius Mach no. 

Z/R M 

-2.812 0.06 

-2.625 0.07 

-2.437 0.09 

-2.250 0.12 

-2.062 0.14 

-1.875 0.16 

-1.687 0.19 

-1.500 0.21 

-1.312 0.24 

-1.125 0.26 

-0.937 0.29 

-0.750 0.32 

-0.562 0.35 

-0.375 0.36 

-0.188 0.38 

0.000 0.38 

Radius 

Z/R 

-1.687 

-1.500 

-1.312 

-1.125 

-0.937 

-0.750 

-0.562 

-0.375 

-0.187 

0.000 

X/D = 7 

Acoustic excitation parameters 

Stj = 0.44 

fe = 1780 Hz 

Le = 149 dB 

Tot. tem. 

T (K) 

359 

366 

372 

379 

386 

391 

396 

402 

408 

410 

St. tem. Velocity 

Ts (K) U (m/s) 

356 71 

363 79 

368 91 

374 102 

379 114 

383 126 

387 137 

392 143 

397 150 

399 153 

Table 3.9 (continued) Tone excited heated jet. Test Point 6. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.48 

Uj = 208 m/s 

Tt = 489 K 

Tt/To = 1.67 

Rej = 0.30 x 1,000,000 

Radius Mach no. 

Z/R M 

-3.187 0.06 

-3.000 0.07 

-2.812 0.09 

-2.625 0.10 

-2.437 0.11 

-2.250 0.13 

-2.062 0.15 

-1.875 0.17 

-1.687 0.19 

-1.500 0.20 

-1.312 0.23 

-1.125 0.24 

-0.937 0.26 

-0.750 0.28 

-0.562 0.30 

-0.375 0.31 

-0.188 0.31 

0.000 0.32 

Radius 

Z/R 

-1.687 

-1.500 

-1.312 

-1.125 

-0.937 

-0.750 

-0.562 

-0.375 

-0.187 

0.000 

X/D = 9 

Acoustic excitation parameters 

Stj = 0.44 

fe = 1780 Hz 

Le = 149 dB 

Tot. tem. St. tem. Velocity 

T (K) Ts (K) U (m/s) 

358 355 71 

363 360 77 

366 362 86 

372 367 93 

376 371 101 

380 374 108 

383 377 115 

386 379 120 

388 381 123 

390 383 124 

Table 3.9 (concluded) Tone excited heated jet. Test Point 6. 

95 
96 

Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 392 m/s 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.38 x 1.000,000 

X/D = 1 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.500 0.11 -1.406 413 408 101 

-1.453 0.18 -1.312 447 434 163 

-1.406 0.25 -1.219 483 457 231 

-1.359 0.32 -1.125 518 476 288 

-1.312 0.39 -1.078 539 490 314 

-1.265 0.47 -1.031 554 498 332 

-1.219 0.54 -0.984 574 513 348 

-1.172 0.61 -0.937 579 515 357 

-1.125 0.66 -0.890 589 523 362 

-1.078 0.71 -0.844 598 531 366 

-1.031 0.74 -0.797 605 536 369 

-0.984 0.77 -0.750 611 542 371 

-0.937 0.79 -0.703 620 549 373 

-0.891 0.79 -0.656 630 559 376 

-0.844 0.80 -0.609 638 566 378 

-0.797 0.80 -0.562 647 573 381 

-0.750 0.80 -0.516 653 579 383 

-0.656 0.80 -0.469 658 583 384 

-0.562 0.80 -0.422 661 586 386 

-0.468 0.80 -0.375 664 588 387 

-0.375 0.80 -0.281 667 591 387 

-0.188 0.80 -0.187 669 593 387 

0.000 0.80 -0.093 671 595 388 

0.000 674 598 389 

Table 3.10 Unexcited heated jet. Test Point 4. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 392 m/s 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.38 x 1,000,000 

x/n = 3 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.062 0.06 -1.687 401 397 91 

-1.875 0.15 -1.500 427 417 141 

-1.687 0.23 -1.312 457 437 196 

-1.594 0.28 -1.219 476 452 223 

-1.500 0.35 -1.125 501 468 255 

-1.406 0.40 -1.031 523 483 280 

-1.312 0.47 -0.937 545 498 306 

-1.219 0.52 -0.844 560 504 332 

-1.125 0.59 -0.750 579 518 347 

-1.031 0.64 -0.656 597 532 360 

-0.937 0.69 -0.562 614 545 368 

-0.844 0.74 -0.469 632 560 377 

-0.750 0.76 -0.375 644 571 380 

-0.656 0.78 -0.281 655 581 384 

-0.563 0.79 -0.188 659 585 385 

-0.468 0.80 -0.093 666 590 387 

-0.375 0.80 0.000 668 592 387 

-0.188 0.80 

0.000 0.80 

--------------------------------------------------------------------

Table 3.10 (continued) unexcited heated jet. Test Point 4. 

97 
--------------------------------------------------------------------

Axial distance : X/D = 5 

98 

Jet mean flow parameters 

Mj = 0.81 

Uj = 392 m/s 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.38 x 1,000,000 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.437 0.09 -1.875 400 395 95 

-2.250 0.12 -1.687 418 410 123 

-2.062 0.18 -1.500 438 426 156 

-1.875 0.24 -1.312 460 441 195 

-1.687 0.30 -1.125 486 460 229 

-1.500 0.38 -0.937 522 485 272 

-1.312 0.46 -0.750 547 500 308 

-1.125 0.53 -0.562 575 518 337 

-0.937 0.62 -0.375 600 535 358 

-0.750 0.69 -0.187 621 552 369 

-0.562 0.74 0.000 631 561 372 

-0.375 0.78 

-0.188 0.79 

0.000 0.79 

Table 3.10 (continued) Unexcited heated jet. Test Point 4. 
Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 392 mls 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.38 x 1,000,000 

XID = 7 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

z/R M z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.000 0.06 -2.250 388 386 76 

-2.812 0.09 -2.062 397 393 95 

-2.625 0.12 -1.875 413 406 114 

-2.437 0.15 -1.687 422 413 137 

-2.250 0.19 -1.500 439 426 160 

-2.062 0.24 -1.312 458 440 188 

-1.875 0.28 -1.125 475 452 214 

-1.687 0.34 -0.937 497 467 243 

-1.500 0.39 -0.750 516 480 268 

-1.312 0.45 -0.562 536 493 290 

-1.125 0.50 -0.375 551 503 309 

-0.937 0.56 -0.187 563 512 320 

-0.750 0.61 0.000 570 517 323 

-0.562 0.65 

-0.375 0.69 

-0.188 0.71 

0.000 0.71 

Table 3.10 (continued) Unexcited heated jet. Test Point 4. 

99 
--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 392 mls 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.38 x 1,000,000 

XID = 9 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.187 0.08 -2.437 384 381 74 

-3.000 0.10 -2.250 393 389 84 

-2.812 0.13 -2.062 401 396 100 

-2.625 0.16 -1.875 411 405 115 

-2.437 0.19 -1.687 421 412 133 

-2.250 0.21 -1.500 431 420 152 

-2.062 0.25 -1.312 443 428 172 

-1.875 0.28 -1.125 456 438 191 

-1.687 0.33 -0.937 469 447 209 

-1.500 0.37 -0.750 482 456 227 

-1.312 0.42 -0.562 494 465 242 

-1.125 0.46 -0.375 504 471 255 

-0.937 0.49 -0.187 511 476 262 

-0.750 0.53 0.000 515 480 264 

-0.562 0.56 

-0.375 0.59 

-0.188 0.60 

0.000 0.60 

--------------------------------------------------------------------

Table 3.10 (concluded) Unexcited heated jet. Test Point 4. 

100 
--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 431 m/s 

Tt = 810 K 

Tt/To = 2.75 

Rej = 0.31 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.500 0.07 -1.312 485 475 143 

-1.453 0.14 -1.219 526 503 212 

-1.406 0.19 -1.125 573 534 279 

-1.359 0.26 -1.078 593 542 317 

-1.312 0.33 -1.031 621 563 340 

-1.265 0.40 -0.984 639 573 361 

-1.219 0.47 -0.937 658 587 375 

-1.172 0.54 -0.890 672 598 383 

-1.125 0.61 -0.844 693 614 393 

-1.078 0.68 -0.797 692 613 394 

-1.031 0.72 -0.750 711 630 400 

-0.984 0.76 -0.703 726 643 404 

-0.937 0.78 -0.656 734 650 406 

-0.891 0.79 -0.609 751 665 411 

-0.844 0.80 -0.562 762 675 414 

-0.797 0.80 -0.516 774 685 417 

-0.750 0.80 -0.469 784 694 420 

-0.656 0.80 -0.422 789 698 421 

-0.562 0.80 -0.375 795 704 423 

-0.468 0.80 -0.281 800 708 424 

-0.375 0.81 -0.187 805 712 425 

-0.188 0.81 -0.093 808 715 426 

0.000 0.80 0.000 810 717 426 

--------------------------------------------------------------------

Table 3.11 Unexcited heated jet. Test Point 5. 

101 
--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 431 m/s 

Tt = 811 K 

Tt/To = 2.75 

Rej = 0.31 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.062 0.07 -1.687 437 432 102 

-1.875 0.15 -1.500 467 457 143 

-1.687 0.24 -1.312 510 491 193 

-1.594 0.28 -1.219 530 505 224 

-1.500 0.33 -1.125 550 518 252 

-1.406 0.39 -1.031 579 539 280 

-1.312 0.44 -0.937 597 550 304 

-1.219 0.50 -0.844 623 566 337 

-1.125 0.56 -0.750 647 584 355 

-1.031 0.60 -0.656 669 599 372 

-0.937 0.65 -0.562 691 615 386 

-0.844 0.71 -0.469 722 641 400 

-0.750 0.74 -0.375 740 657 405 

-0.656 0.76 -0.281 758 672 411 

-0.562 0.78 -0.187 774 686 415 

-0.468 0.80 -0.093 787 697 419 

-0.375 0.80 0.000 795 704 422 

-0.188 0.80 

0.000 0.80 

--------------------------------------------------------------------

Table 3.11 (continued) Unexcited heated jet. Test Point 5. 

102 
Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 430 m/s 

Tt = 811 K 

Tt/To = 2.76 

Rej = 0.30 x 1.000.000 

X/D = 5 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.625 0.07 -2.250 400 398 62 

-2.437 0.10 -2.062 416 412 81 

-2.250 0.15 -1.875 439 434 107 

-2.062 0.20 -1.687 458 449 135 

-1.875 0.26 -1.500 483 469 166 

-1.687 0.32 -1.312 509 489 200 

-1.500 0.38 -1.125 545 516 242 

-1.312 0.45 -0.937 577 538 277 

-1.125 0.53 -0.750 614 563 316 

-0.937 0.60 -0.562 641 581 343 

-0.750 0.67 -0.375 673 604 367 

-0.562 0.71 -0.187 694 618 385 

-0.375 0.75 0.000 708 631 389 

-0.188 0.78 

0.000 0.78 

Table 3.11 (continued) Unexcited heated jet. Test Point 5. 

103 
Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 431 m/s 

Tt = 811 K 

Tt/To = 2.75 

Rej = 0.30 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.187 0.05 -2.437 408 405 69 

-3.000 0.09 -2.250 419 415 90 

-2.812 0.11 -2.062 433 428 105 

-2.625 0.14 -1.875 447 439 124 

-2.437 0.17 -1.687 466 455 144 

-2.250 0.22 -1.500 482 467 168 

-2.062 0.25 -1.312 498 480 190 

-1.875 0.30 -1.125 522 499 215 

-1.687 0.34 -0.937 545 515 243 

-1.500 0.39 -0.750 566 531 265 

-1.312 0.44 -0.562 587 545 290 

-1.125 0.48 -0.375 601 555 304 

-0.937 0.54 -0.187 617 567 315 

-0.750 0.58 0.000 622 572 317 

-0.562 0.62 

-0.375 0.65 

-0.188 0.67 

0.000 0.67 

Table 3.11 (continued) Unexcited heated jet. Test Point 5. 

104 
Axial distance : 

Jet mean flow parameters 

Mj = 0.81 

Uj = 431 m/s 

Tt = 810 K 

Tt/To = 2.75 

Rej = 0.31 x 1,000,000 

x/n = 9 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-3.562 0.06 -2.437 414 410 79 

-3.375 0.07 -2.250 422 417 94 

-3.187 0.10 -2.062 434 428 109 

-3.000 0.12 -1.875 446 438 122 

-2.812 0.14 -1.687 457 447 138 

-2.625 0.18 -1.500 468 456 154 

-2.437 0.19 -1.312 479 465 168 

-2.250 0.23 -1.125 492 475 185 

-2.062 0.26 -0.937 504 483 204 

-1.875 0.29 -0.750 517 494 217 

-1.687 0.33 -0.562 531 504 232 

-1.500 0.36 -0.375 539 511 240 

-1.312 0.39 -0.187 547 516 248 

-1.125 0.42 0.000 546 515 248 

-0.937 0.46 

-0.750 0.49 

-0.562 0.52 

-0.375 0.53 

-0.188 0.55 

0.000 0.55 

--------------------------------------------------------------------

Table 3.11 (concluded) Unexcited heated jet. Test Point 5. 

105 
Axial distance : 

Jet mean flow parameters 

Mi = 1.00 

Uj = 471 m/s 

Tt = 672 K 

Tt/To = 2.30 

Rej = 0.50 x 1,000,000 

X/D = 1 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/ s) 

--------------------------------------------------------------------

-1.312 0.16 -1.219 393 383 140 

-1.265 0.26 -1.125 458 430 233 

-1.219 0.36 -1.078 488 448 280 

-1.152 0.46 -1.031 518 464 328 

-1.125 0.56 -0.984 547 478 371 

-1.078 0.66 -0.937 570 487 407 

-1.031 0.76 -0.890 595 502 430 

-0.984 0.85 -0.844 615 516 444 

-0.937 0.92 -0.777 624 521 452 

-0.891 0.96 -0.750 625 521 455 

-0.844 0.98 -0.703 621 518 453 

-0.797 0.99 -0.656 620 517 451 

-0.750 1.00 -0.609 630 526 455 

-0.656 0.99 -0.562 640 534 458 

-0.562 1.00 -0.516 646 539 460 

-0.468 0.99 -0.469 650 543 462 

-0.375 1.00 -0.422 656 548 464 

-0.188 1.00 -0.375 662 552 466 

0.000 1.00 -0.281 666 556 468 

-0.187 669 558 469 

-0.093 669 558 469 

0.000 668 557 469 

--------------------------------------------------------------------

Table 3.12 Unexcited heated jet. Test Point 8. 

106 
Axial distance : 

Jet mean flow parameters 

Mj = 0.99 

Uj = 471 m/s 

Tt = 672 K 

Tt/To = 2.29 

Rej = 0.50 x 1,000,000 

X/D = 3 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-1.687 0.11 -1.500 372 368 85 

-1.594 0.16 -1.312 406 395 149 

-1.500 0.22 -1.219 424 407 182 

-1.406 0.30 -1.125 449 424 223 

-1.312 0.37 -1.031 475 441 262 

-1.219 0.45 -0.937 504 457 304 

-1.125 0.54 -0.844 529 470 342 

-1.031 0.62 -0.750 554 483 376 

-0.937 0.71 -0.656 579 496 406 

-0.844 0.79 -0.562 597 505 428 

-0.750 0.86 -0.469 616 517 443 

-0.656 0.91 -0.375 630 527 453 

-0.562 0.95 -0.281 644 538 459 

-0.468 0.98 -0.187 653 545 463 

-0.375 0.99 -0.093 660 551 465 

-0.188 0.99 0.000 666 555 467 

0.000 1.00 

--------------------------------------------------------------------

Table 3.12 (continued) Unexcited heated jet. Test Point 8. 

107 
Axial distance : 

Jet mean flow parameters 

M; = 1.00 

Uj = 471 m/s 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.50 x 1.000,000 

X/D = 5 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.250 0.07 -1.687 382 376 105 

-2.062 0.11 -1.500 404 394 142 

-1.875 0.19 -1.312 428 411 186 

-1.687 0.27 -1.125 458 431 232 

-1.500 0.36 -0.937 496 455 284 

-1.312 0.46 -0.750 527 472 333 

-1.125 0.56 -0.562 563 492 377 

-0.937 0.67 -0.375 592 506 413 

-0.750 0.77 -0.187 614 520 433 

-0.562 0.85 0.000 630 530 445 

-0.375 0.92 

-0.188 0.95 

0.000 0.97 

Table 3.12 (continued) Unexcited heated jet. Test Point 8. 

108 
Axial distance : 

Jet mean flow parameters 

Mj = 0.99 

Uj = 471 mls 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.50 x 1,000,000 

X/D = 7 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/s) 

--------------------------------------------------------------------

-2.812 0.05 -2.250 363 360 68 

-2.625 0.09 -2.062 376 372 86 

-2.437 0.13 -1.875 388 382 112 

-2.250 0.18 -1.687 402 392 138 

-2.062 0.22 -1.500 420 407 163 

-1.875 0.29 -1.312 440 420 198 

-1.687 0.35 -1.125 461 434 233 

-1.500 0.40 -0.937 487 450 271 

-1.312 0.48 -0.750 512 464 307 

-1.125 0.56 -0.562 534 476 341 

-0.937 0.64 -0.375 555 487 369 

-0.750 0.71 -0.187 573 498 387 

-0.562 0.78 0.000 585 506 397 

-0.375 0.84 

-0.188 0.87 

0.000 0.89 

--------------------------------------------------------------------

Table 3.12 (continued) Unexcited heated jet. Test Point 8. 

109 
--------------------------------------------------------------------

Axial distance : 

Jet mean flow parameters 

Mj = 1.00 

Uj = 471 m/s 

Tt = 672 K 

Tt/To = 2.28 

Rej = 0.50 x 1,000,000 

X/D = 9 

Acoustic excitation parameters 

Unexcited 

--------------------------------------------------------------------

Radius Mach no. Radius Tot. tem. St. tem. Velocity 

Z/R M Z/R T (K) Ts (K) U (m/ s) 

--------------------------------------------------------------------

-3.375 0.07 -2.625 364 362 72 

-3.187 0.09 -2.437 372 368 90 

-3.000 0.12 -2.250 384 379 104 

-2.812 0.15 -2.062 395 386 128 

-2.625 0.19 -1.875 406 395 149 

-2.437 0.23 -1.687 420 405 173 

-2.250 0.27 -1.500 434 414 199 

-2.062 0.32 -1.312 453 427 225 

-1.875 0.37 -1.125 471 440 250 

-1.687 0.43 -0.937 487 448 278 

-1.500 0.49 -0.750 505 459 305 

-1.312 0.54 -0.562 523 469 326 

-1.125 0.60 -0.375 534 476 341 

-0.937 0.66 -0.187 544 481 352 

-0.750 0.71 0.000 545 481 358 

-0.562 0.75 

-0.375 0.78 

-0.188 0.80 

0.000 0.82 

Table 3.12 (concluded) Unexcited heated jet. Test Point 8. 

110 
o 

f 

K 

L 

M 

P 

R 

Re 

St 

T 

U 

X 

Z 

Y 

~ 

Subscripts 

e 

j 

p 

s 

t 

o 

LIST OF SYMBOLS 

nozzle exit diameter 

frequency 

dynamic correction ratio 

level 

Mach number 

pressure 

nozzle exit radius 

Reynolds number 

Strouhal number 

temperature 

velocity 

axial coordinate 

radial coordinate 

specific heat ratio 

pressure ratio 

excited 

jet, based on nozzle diameter 

probe 

static 

total 

ambient 
NI\S/\ Report Documentation Page National Aeronautics and 

Space Administration 

1 Report No 2 Government Accession No 3 RecIpient's Catalog No 

NASA CR-4129, Part III - 4 TItle and Subtitle 5 Report Date 

ACoustlca11y Excited Heated Jets June 1988 

III - Mean Flow Data 6 Performing Organization Code 

7 Author(s) 8 Performing OrganizallOn Report No 

J Lepicovsky, K.K. Ahuja, W. H. Brown, LG86ER0022 <E-4003) 

M Sa1ikuddin, and P.J. Morris 

10 Work Unit No 

505-62-91 

9 Performing Organization Name and Address 

Lockheed Aeronautical Systems Company - Georgla 11 Contract or Grant No 

Dept. 72-74, Zone 403 NAS3-23708 

Marietta, Georgia 30063 

13 Type 01 Report and Penod Covered 

12 Sponsoring Agency Name and Address Contractor Report 

National Aeronautics and Space Administration Final 

Lewis Research Center 14 Sponsoring Agency Code 

Cleveland, OH 44135-3191 

15 Supplementary Notes 

Project Manager, Edward J. Rice, Internal Fluid Mechanics Division, NASA Lewi s 

Research Center J. Lepicovsky, K.K. Ahuja, W.H. Brown, and M. Sa1ikuddin, 

Lockheed Aeronautical Systems Company - Georgia. P.J. Morris, Pennsylvania 

State University, University Park, Pennsylvania. 

16 Abstract 

This report is part of a three-part report on the excitability of heated jets 

under the influence of acoustic excltation. The effects of upstream internal 

acoustic excitation on jet mixing were described in detail in Part I. Part II 

describes the effects of external excitation on flow mixlng. Part III contains 

detailed quantitative results from the measurements of mean Mach number and temperature and consists of radial profiles and centerline distributions measured at 

selected jet operating conditions for internally excited and unexcited jets. The 

mean flow data are presented in both graphical and tabulated forms. For the sake 

of completeness, this part contains temperature probe calibration curves also. 

17 Key Words (Suggested by Author(s)) 18 Distribution Statement 

Sound-flow interaction; Jet mlxlng; Flow Unclassified - Unlimited 

vlsua1ization; Velocity and temperature Subject Category 02 

measurement; Large-scale structures 

19 Security Ciassil (01 this report) 20 Security Ciassil (01 this page) 21 No 01 pages 22 Price" 

Unc1assifled Unc1aSSlfled 115 A06 NASA FORM 1626 OCT 86 'For sale by the National Technical Information SerVice, Springfield, Virginia 22161 

NASA-Langley, 1988 
End of Document