of Shock-Containing SupersonicJe s - NASA · 2013-08-31 · A program to investigate the aeroacoustics of shock-containing supersonic jets was undertaken at NASA Langley Research

NASA-TM-84521 19820025274 /NASA Technical Memorandum 84521 ,

Measurements of Mean StaticPressure and Far-FieldAcousticsof Shock-Containing SupersonicJets

• . p • _o: • . . • !. , J

Thomas D. Norum and John M. Seiner L_,._..:L .._ _-......... ....•_-,-

SEPTEMBER 1982

https://ntrs.nasa.gov/search.jsp?R=19820025274 2020-05-04T23:35:35+00:00Z

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NASA Technical Memorandum 84521

Measurements of Mean StaticPressure and-Far-Field Acousticsof Shock-Containing Supersonic Jets

Thomas D. Norum and John M. SeinerLangley Research CenterHampton, Virginia

NI ANational Aeronauticsand Space Administration

Scientific and TechnicalInformation Branch

1982

SUMMARY

The far-field acoustic data base generated in studies of broadband shock noisefrom supersonic jets is presented. Both conical and contoured nozzles of exit Machnumbers 1.0, 1.5, and 2.0 were tested using unheated air at pressure ratios rangingfrom 1.9 to 14. Tests were performed both with and without screech suppression tabs.Results include overall sound pressure variations and representative I/3-octave andnarrowband spectra. This data report also presents surveys of the mean static pres-sure measured within these jets.

INTRODUCTION

A program to investigate the aeroacoustics of shock-containing supersonic jetswas undertaken at NASA Langley Research Center beginning in 1978. A primary goal ofthis research was to aid the development of a supersonic cruise commercial aircraftby generating a data base for supersonic jet noise. Particular attention was paid tothe noise associated with the shock structure within the jet. The program wasdesigned to enhance and supplement work performed by the Lockheed-Georgia Company(refs. I and 2) and the General Electric Company (refs. 3 and 4) that had been sup-ported by the Air Force and the Department of Transportation a few years earlier.

Shock-associated noise from supersonic jets can contain two components. Thefirst consists of high-amplitude discrete tones, called screech, which was firststudied by Powell (ref. 5). He inferred that the mechanism of screech generation wasa resonant loop consisting of acoustic feedback of noise generated by the passage ofdisturbances through a shock. This process results in the creation of additionaldisturbances at the nozzle exit. The second component is the broadband component.Its spectrum rises rapidly with frequency to a well-defined peak and then decreasesat higher frequencies. Harper-Bourne and Fisher (ref. 6) were the first to investi-gate the broadband component in detail. They proposed an array of noise sourcesformed through turbulence-shock interaction. To aid in their study of the broadbandnoise, a small projection, or tab, was inserted into the jet at the nozzle exit tosuppress the screech.

The desire to better understand the noise generation process in supersonic jetsled to several related studies at NASA. These studies incorporated extensive meas-urements of near- and far-field acoustic pressures, mean static and total pressuresusing inflow probes, and turbulence fluctuations within the jet utilizing hot-filmprobes. Analyses of the data, highlighting the relationship between the jet shockstructure and the radiated broadband noise, have been presented in references 7through 11.

The primary purpose of this report is to document the far-field acoustic database generated during the NASA experiments. Results from both conical and contouredconvergent and convergent-divergent (C-D) nozzles were obtained. Tests were per-formed with and without screech suppression tabs at nozzle pressure ratios rangingfrom the sonic condition to a fully expanded Mach number of about 2.4. Overall soundpressure levels and I/3-octave and narrowband spectra were generated and are pre-sented herein.

To aid in the interpretation of these supersonic-jet noise measurements, thedetailed mean static pressures obtained within these jets are also presented. Thesemeasurements have proven useful in evaluating jet-plume prediction schemes and indetermining the strength and spacing of the shocks. (See refs. 7 through 9.)

SYMBOLS

C-D convergent-divergent

d nozzle exit diameter

dt nozzle throat diameter

Mj fully expanded Mach number

OASPL overall sound pressure level

p static pressure in jet plume

Pa ambient static pressure

Pt jet total pressure

SPL sound pressure level

Ta ambient temperature

T. fully expanded jet static temperature3

Vj fully expanded jet velocity

x distance from nozzle exit to probe tip

x nozzle inlet-to-exit distances

xt nozzle throat-to-exit distance

y distance from nozzle centerline to probe tip

=IM 2 _ 1V 3

_d _ for perfect expansion based on one-dimensional isentropic flow

pj fully expanded jet static density

relative humidity

microphone far-field angle measured from inlet axis

EXPERIMENTAL DETAILS

The mean static pressure measurements were performed in the Langley Jet-NoiseLaboratory (LJNL). This facility is supplied with a continuous flow of dry, unheatedair at a maximum flow rate of 4.1 kg/s and is controlled electronically to maintainnozzle pressure ratios within 0.3 percent of the desired set point. The pressureprobe was housed in a minimum-drag supersonic wing and positioned within the flowwith a spatial accuracy of 0.03 mm via a computer-controlled, three-dimensional drivemechanism. The output of the static-pressure transducer was recorded by a minicom-puter through a digital multimeter. The data averaging time of the multimeter waschosen to limit data scatter to 0.2 percent, the accuracy of the transducer. Fig-ure I is a photograph of the drive mechanism installed adjacent to a test nozzle inthe LJNL.

The static-pressure probe used was designed by Pinckney (ref. 12). Its dualconical sections (fig. 2) permit a faster recovery than a conventional supersonicprobe, which allows the pressure ports to be located much closer to the probe tip.This is a distinct advantage in shock-containing flow, since it permits static pres-sure to be measured in the neighborhood of the shocks. As seen in figure 2, thepressure ports are less than 5 mm from the probe tip. This distance corresponds toabout a tenth of a diameter of the nozzles tested. The static-pressure error due toincomplete recovery was calculated for this geometry probe at zero angle of attackand was found to be less than I percent for free-stream Mach numbers from 2.5 down toat least 1.45. No corrections are applied to the data given in this report.

The far-field acoustic measurements were performed in the Langley Anechoic NoiseFacility. This facility has interior dimensions of 6.7 m × 8.4 m x 7.2 m and uti-lizes the same air supply as the LJNL. Free-field, I/4-inch condenser microphoneswere positioned on an arc in 7.5° increments from 30° to 157.5° from the nozzle inletaxis. The microphone arc was initially 3.66 m from the jet exit. During a secondphase of acoustic testing, the radius of the arc was reduced to 3.05 m. For bothphases, the test nozzles were covered with fiberglass as shown in figure 3.

Five nozzles were tested, two of which were convergent nozzles. One convergentnozzle was contoured for exit flow parallel to the jet axis, and the other had aconical internal contour, and hence, a convergent exit flow. The remaining nozzleswere convergent-divergent; two were designed for an exit Mach number of 1.5 and theother for 2.0. One Mach 1.5 nozzle consisted of two conical sections, and hence, adivergent exit flow. The other two C-D nozzles were designed for parallel flow atthe exit. Their contraction section was developed using the method of Hopkins andHill (ref. 13), which permits optimization of the sonic surface for a given contrac-tion area ratio. The contour generated by this method was matched with a method-of-characteristics solution for the supersonic section (ref. 14). Actual dimensions ofthe five nozzles are given in figure 4.

Tabs, in the form of a small protrusion into each jet at the nozzle exit, weredesigned to suppress screech. The tab data reported herein were derived from asingle rectangular-shaped tab for each nozzle. Their design was based on that usedin reference 2, 0.125d wide and extending 0.063d into the jet. Figure 5 is a sche-matic of a nozzle with a tab installed.

Several nozzle pressure ratios were investigated and are reported in terms ofthe shock parameter _. A summary of jet parameters for most of the conditionstested is given in table I. Additional pressure ratios near the perfectly expanded

condition of the contoured C-D nozzles were attained during the second phase ofacoustic tests.

PRESENTATION OF RESULTS

The static-pressure surveys were obtained by traversing the probe downstream inincrements of I to 2 mm. The size of the increment was dependent upon the region ofthe jet being investigated. Only the three contoured nozzles were investigated, andthe results are given in appendix A. The jet static pressure nondimensionalized bythe ambient pressure is plotted against the distance to the probe tip from the nozzleexit normalized by the diameter. The value of _ and the nondimensional distancefrom the jet centerline, at which the axial survey was made, is given on each plot.

The acoustic data are presented in appendixes B through E. For the acoustictests, the data were recorded on a 14-channel FM magnetic tape recorder with a flatfrequency response to above 80 kHz. Because 18 microphones were used, two runs werenecessary at each test condition. Hence, two data segments were obtained for anglesbetween 67.5° and 120°. Overall sound pressure levels (OASPL) were obtained for eachdata segment and results for the same test condition and angle agreed generally towithin 1.0 dB.

Values of OASPL plotted against _ are presented in appendix B for each of thefive nozzles with and without tab. The far-field measurement angle and maximum OASPLattained for each curve are given at the right of the figures. Data from the secondphase of acoustic testing are given as solid symbols. Because exact far-field condi-tions were not met, no data corrections were applied to account for the differentmicrophone positions during the two acoustic test phases.

The variations of sound pressure level with far-field angle are given inappendix C for each value of _ tested during the first phase. Again, the maximumOASPL for each curve is given at the far right along with the 8 value.

Measured I/3-octave levels for each of the three contoured nozzles and most

operating conditions are shown in appendix D. The values of ambient temperature andrelative humidity are listed for each condition to allow for atmospheric absorptioncorrections. The dB level listed to the right of each curve represents the maximumI/3-octave level of that curve.

Power spectra for each of the contoured nozzles without tab and the contouredconvergent nozzle with tab are given in appendix E. The analysis bandwidth of allthe spectra was 40 Hz. Angles from 30° to 120° are given to highlight the broadband,shock-associated noise component. The maximum level of each curve is given at itsright in the figures along with the far-field measurement angle.

CONCLUDING REMARKS

A NASA Langley Research Center program to investigate the noise associated withthe shock structure in supersonic jets has produced a data base for the radiatednoise from both convergent and convergent-divergent nozzles. Far-field acousticresults of overall sound pressure level and I/3-octave and narrowband spectra were

obtainedwith and without screechsuppressionat nozzle pressure ratiosfrom 1.9 to14. Detailedmean static-pressuresurveys,depictingthe shock structurewithin thejet plume, have also been generated. These as-measured,far-fieldacousticpressuresand inflow staticpressuresare presentedin this data report.

Langley Research CenterNational Aeronautics and Space AdministrationHampton, VA 23665August 2, 1982

APPENDIX A

LONGITUDINAL STATIC-PRESSURE SURVEYS

Nozzle confi@uration _ y/d Page

Mach 1.0 contoured nozzle without tab 0.40 0 80.60 0 80.70 0 80.80 0 90.80 0.45 90.94 0 100.94 0.45 101.00 0 111.00 0.45 111.10 0.45 121.34 0.45 121.50 0.45 131.72 0.55 13

Mach 1.5 contoured nozzle without tab 0.40 0 14

0.60 0.25 14

0.70 0 15

0.70 0.23 150.70 0.45 150.80 0 16

0.80 0.25 16

0.94 0 17

0.94 0.30 17

0.94 0.45 17

I.34 0 18

I.34 0.45 18

I.50 0 19

I.50 0.45 19

I.72 0 20

I.72 0.42 20I.85 0.45 21

2.00 0.51 21

6

APPENDIX A

Nozzle confi@uration _ y/d Page

Mach 2.0 contoured nozzle without tab 0.70 0.25 22

0.80 0.25 22

0.94 0.25 22

1.10 0 23

I.10 0.25 23

I.34 0 24

1.34 0.25 24

I.50 0 25

I.50 0.38 25

I.60 0 26

I.60 0.38 26

1.72 0 26

1.85 0 27

I.85 0.38 27

I.85 0.45 27

2.00 0 28

2.00 0.25 29

2.00 0.45 29

APPENDIX A

Maeh 1.0 confoured nozzle wifhouf lab

1.'_- #= 0.40! y/d

1.2- !0.00

.a-II I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I i0 5 10 15 20 25 30

x/d

1.6 -- 18= 0.60

1.4 / y/d = 0.00

n" 1.2

1.0

.8

•6 II I I I I I I I I I I I I II II I I I I I I I I II I I II II II0 5 10 15 20 25 30

x/d

1.6 -- ,8 ==0.70

1.4 y/d '= 0.00

1.2

1.0

.8

.4__1111111111111111111111111111111111110 5 10 15 20 25 30

×/d

APPENDIX A

Mach 1.0 confoured nozzle wifhouf lab

1.8 -- p = 0.80y/d = 0.00

1.6--

1.4

1.2

.8--

.6--

.4--0 5 10 15 20 25 30

x/d

1.8 -- p = 0.80y/d = 0.45

1.6 1

1.4

.._1.2

1.0

.8--

•°-'''''' ""'o ',"" ',"" "o'" ""' "o'' 'x/d

APPENDIX A

Mach 1.0 confoured nozzle wlthouf tab

2.0 -- p '_ 0.94y/d = 0.00

1.8

1.6

1.4

Q.."_ 1.9.Q.

1.0

.8

°_ _

.___! I I I I I I I I I I I I I I I I I I I I I I I I J i I I I I I I IJ0 5 10 15 20 25 3O

x/d

2.0 -- _8= 0.94y/d = 0.45

1.8--

1.6 m

1.4 --

_'1.2--

1,0 m

.8--

"6--1 I I I I I I / [ I IIO 1101 I ] I /I I I I /I I I II1 2 25 I I I I I I I130

x/d

10

APPENDIXA


2.0 p = 1.00y/d = O.OO

1.8

1.6

1.4

,, 1.2a.

_" 1.0

.8--

.6--

.4--

.2__1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 5 10 15 20 25 30

x/d

2.0 -- p "; 1.00y/d = 0.4.5

1.8--

1.6 m

,, 1.4 --m.

n.l. 2 --

I oO m

.8--

.,_,,,,,,,,,,,,,,,,,,,,,,;o,,,,,,,,,,,,,x/d

11

APPENDIX A

Mach 1.0 confoured nozzle wlfhouf lab

2.0 -- 18= 1.10y/d = 0.45

1.8--

1.6

1.4 --

1.2 --

1.0--o_ _

.6__! I I I I I I I I I I I I I I I I I I ! I I I I I I I I I I I I I I I I0 5 10 15 20 _ 30

×/d

1.8 _p = 1.34

y/d = 0.451.6--

12

APPENDIX A


1.8 -- p = 1.50y/d = 0.45

1.6--

1.4 B

1 °2 m

1.0 -

.8-- 1

.6

.2__! I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

×/a

1.8 -- _ = 1.72y/d = 0.55

1.6--

1.4

1.2--

m.1.0 --

m.

.8 m

.8

.4--

_ '"'""'" ,'o''''_"" "o'" ""' '_" ' '×/d

13

APPENDIX A


1._- mp = 0.40

y/d = 0.001.2--

a 1.0 --12.

Q" .B --

.6 --

J,__! I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

×/d

1.4

I p = 0.60y/d = 0.251.2--

1=1.0 --n

m. .8--

14

APPENDIX A

Mach 1.5 confoured nozzle wifhouf fob

1.6 t8 0.70y/d 0.00

1.4

1.2

1.0

.8

•' " '"'_'"'""'"'"'o'"'"' '_""0 1 1 2 2

x/d

1.6 -- p = 0.70y/d = 0.23

1.4--

= 1.2 --a.

o. 1.0 --

.B--

.6__1111111111111111111111111111111111110 5 10 15 20 25 30

×/d

1.2 -- 18= 0.70y/d = 0.45

,..1.o-

°' o' " ,"' "'_ _' "_' _' 'x/d

15

APPENDIX A


1.8 -- _ = 0.80y/d = 0.001.6

1.4

1.2 1.B

.6

.!:__! I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

x/d

p = 0.80

,,1"2 -- I IIII y/d = 0.25m..

•_ 1.0 -

.8-- .,j

,, ,, ,' _, _'',,x/d

16

APPENDIX A

Moch 1.5 confoured nozzle wifhouf fob

1.6 -- p = 0.94y/d = 0.00

1.4--

1.2

0m.

1.0 -D.

.6--

.4__1111111111111111111111111111111111110 5 10 15 20 25 30

×/d

1.2 -- _ = 0,94

1.0 -- /_]_ /k/_ y/d = 0,300

D. .8--

.6__1111111111111111111111111111111111110 5 10 15 20 25 30

×/d

1.2 -- _ = 0.94

y/d '= 0.4.5e 1.0 --

D..8--

.,_!''''' '_'''' Io''' '1_''' '21oI'' '_''' '31o'''0

x/d

17

APPENDIX A


1.6 m= 1.3J,

• y/d = 0.001.4--%/!

1.2--

,, 1.0 --n

Q" .8--

.6--

.4--

.2__11 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

x/d

1.2 -- p = 1.34y/d = 0.45

,, 1.0 --m.

m. .8--

'"' 'o ,"' _' '_'' '_',' '_' 'x/d

18

APPENDIX A

Mach 1.5 confoured nozzle withouf lab

2.0 -- p ,= 1.50y/d = 0.00

1.8--

1.6-- j

1.2--

imm.

-_ 1.0 --tD.

oB B

.6--

.4--

.2--

0.__! I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

×/d

1.8-- p'- 1.50y/d = 0.45

1.4--

1.2 --

1.0 --

×/d

19

APPENDIX A

Mach 1.5 contoured nozzle without tab

2.0 -- p = 1.72y/d = 0.001.8--

1.6--1.4--

u 1.2 --

D. 1.0 --

.8--

.6--

.4--

.2-11 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

×/d

1.8 D

p = 1.72y/d = 0.421.6--

1.4 n

12 IJD.

_" 1.0 --

bJ

.4__1111111111111111111111111111111111110 5 10 15 20 25 30

x/d

2O

APPENDIX A


1.8 -- p = 1.B5

y/d = 0.4.51.6--

1.4

,, 1.2 -- fCu

1.0 --D.

.6--

.2__11 I I I I I I I I. I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

x/d

1.8 -- p = 2.00y/d = 0.51

1.6--

1,4

1.2--

n.1.0 --

Q.

o6 m

.6--

.4--

.,_,,,,,, ,,,,, ,,,,, ,,,,, ,,0,,, ,,,,, ,,,,,x/d

21

APPENDIX A

Mach 2.0 contoured nozzle wifhout $ab

1.4 .8 = 0.70y/d= 0.25

1.2

1.0

Q" .8

.6

.4 II IIII IIII IIII IIIIIIII IIII IIII IIII0 s _0 _5 20 25 so

×/d

1.4 -- p = O.BOy/d = 0"25

1.2--

Q.

-_ 1.o- ___.Q.

.6__! I I I I I I I I I I I I I I I I I I I I I I I I [ I I I I I i I I I I0 5 10 15 20 25 30

×/d

1.6 -- .8 = 0.94

y/d = 0.251.4--

ul-2 --

_" 1.0 -

.8 _

°'' o ,' ,' "o" _o×/d

22

APPENDIX A


2.0 ,8 = 1.10y/d = 0.00

1.8

1.6

1.4

. 1.2

n 1.0 --

.8--

.6--

.4--

.2__! I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I !_/._!0 5 10 15 20 25 30

x/d

1.8 -- _ = 1.10y/d = 0.25

1.6--

1 o_

-_1.2 --m..

1.0--

.8--

°_,,,,,,,, ,,, ,,,, ,,o,,, ,,,, ,,, u×/d

23

APPENDIX A


2.2 -- p = 1.34y/d = 0.00

2.0--

.6--

.4--

.2_11 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 50

x/d

1.6 -- _ = 1.54y/d = 0.25

1.4--

.1.2 -- I _cu jv1.0--m.

.8--

.6--

•'-"o''''',''"','o'''',""'_"" '_"" '," ' 'x/a

24

APPENDIX A


2.2 -- _ = 1.50y/d = 0.00

2.0-

1.8

1.6 B

0I:1.

1.2 --_..

1.0--

.B-- /,,

.6--

.4--

.___! I I I I I I I I I l 1 I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

x/d

1.2 -- p = 1.50y/d = 0.38

.1.0 --m.

_" .8--

.8__1111111111111111111111111111111111110 5 10 15 20 25 30

x/d

25

APPENDIX A


1.6 -- _8= 1.60

y/d = 0.001.4--

1.2 m

1.0 --

°8 m

.6--

.4__! I I I I I ! I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

x/d

1.2 -- _ = 1.60

1.0-- _ i _ /_ ,_ ^ y/d= 0.38um_ jV_vvm. .8 --

.6__III II III IIII III II IIII III IIII II II III I0 5 10 15 20 25 50

×/d

1.2 -- I I _ = 1.72

1.0 -- _U_%_'_ /_ /-_ _-. y/d= 0.00n

m. .8--

.o_,,,,,, ,,,,. ,,,,..,,,, ,,,,, ,,,,, ,,,,,0

x/d

26

APPENDIX A


.6--

.4__!111111111111111111111111111111111110 5 10 15 20 25 30

x/d

1.4 -- _ = 1.85y/d = 0.38

1.2--

1.0

.6_! I I I ] I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 _0

×/d

1.4 -- _ = 1.85

1._- _ y/d= o.,_s1.0

.-' "' ',' ,"" _'" '_"" '_'o''×/d

27

APPENDIX A


2.0 - p = 2.00y/d = 0.00

1.8--

.2--

o, ;,, ,;, ;_ ,,,.x/d

28

APPENDIX A

Mach 2.0 confoured nozzle withouf fob

.6--

._,__1 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I0 5 10 15 20 25 30

x/d

29

APPENDIX B

VARIATION OF OVERALL SOUND PRESSURE LEVEL WITH _ FOR DIFFERENT

VALUES OF

Nozzle configuration Page

Mach 1.0 contoured nozzle without tab 31

Mach I.0 contoured nozzle with tab 32


Mach I.5 contoured nozzle with tab 34


Mach 2.0 contoured nozzle with tab 36

Mach 1.0 conical nozzle without tab 37

Mach I.0 conical nozzle with tab 38


Mach I.5 conical nozzle with tab 40

3O

_EZVDZX B

Maeh 1.0 contoured

_B nozzle Without fob

_ _a_ €lB

30.0° 123.0

37.So 122.S

4_'0° 126,0

S_5,123.3o

0 60.0° 123.867.So 124,4

] o 7S.O°E 124,5_" /- 0

62.s,12s.s_" "'""'°'--_ ,_°_-'__°_,_ -" --_° "°'o'12s.6

0 " - 0 97"S° 12B._

o..__.o___o..._o...o-_O-_o 1os.o.125.6112.5 •

0 126.4

<>--00 120"0° 127.1127.5,

°'-- _-_o---oJ_'°--°_°----o--o--_ o-oo '_a.o13,_.0o

130,20142.5°

131.6

ISo,o°

--0"-00 157.5 ° 134.9136.0

.5

,.....C

0...:toC'I

CD.......,.m"C....Jc..Ul0«o

APPENDIX B

Mach 1.0 contoured nozzle with tab

110 dB

1? max dB

30.0° 121.7

37.5° 122.7

45.0° 124.1

52.5° 124.2

60.0° 124.6

67.5° 125.2

75.0° 125.5

82.5° 126.4

90.0° 127.0

97.5° 126.6

105.0° 126.2

112.5° 126.7

120.0° 127.5

127.5° 128.6

135.0° 130.7

142.5° 132.9

150.0° 134.9

157.5° 135.4

32

I , I I I IO. .5

I I I I I1.0

I ,

1.5I I

2.0I I

2.5

APPENDIX B


I I I I I IO. .5

I I

• second-phase testsI I I I I I

1.0 1.5

fJ

I I2.0

I I2.5

33

APPENDIX B


--i _ max dB10 dB

__1=_O.L=10_e--d'_-"--_O__ 30.0 = 124.5

-- nt/_OI"r"o._____ O,,..O__QO' -00_ 37.5 = 125.0

-o__o_.--o/__.._ .__-'°_"_ _ o .o0°_.s

75.0 = 126.2

-- ,',-"0-----'0"-'--'0'/- ,-"--_ll_q_e_eeo ._---0 B2.5 = 126.5

--,_r._ _'_"_ _lqll:_l_ 0 =_--qlP'_ 0 90.0" 127.1

-- _ Ol "t'l'" - _ 97.5" 127.4

__--- __o----o-----°_ o_"'_" _.__ -

112.5 = 127.3

- __._" oI_---___ lZ5.o= 1_2.6_-._ -

--_ _/_ 142"5=135"2"

_-- • second-phase _es_s_1,,,, I,,,, I,,,, I,,,, I,,,, I

O. .5 1.0 1.5 2.0 2.5

#

34

APPENDIX B


, I2.0

I I1.0 1.5

P

• second-phase testsI I I I I I, II I I I

1 .", max dB10 dB

1 30.0° 127.6

37.5° 129.0

45.0° 129.1

52.5° 128.2

60.0° 128.4

67.5° 129.1

75.0° 129.3

82.5° 130.1""c~ 90.0° 130.2

0---0

97.5° 131.4C"lQ)I.

105.0° 131.6....-.m"'0

112.5° 132.2..0--..J

a..120.0°en 133.6

-<0

127.5° 132.4

0 135.0° 133.8

142.5° 138.0

150.0° 139.1

157.5° 138.4

35

APPENDIX B


I I2.5

-{I max dB

30.0° 128.0

135.0° 134.7

142.5° 139.0

150.0° 138.1

157.50 136.4

I I2.0• 1.5

• second-phase t sfI I I e s

1 0 I I I I I

0---0---0---0-

I10 dB

I

m"'C

36

APPENDIX B

Mach 1.0 conical nozzle without tab

o. .5 1.0I I

1.5I I

2.0I I

2.5

37

APPENDIX B

Mach 1.0 conical nozzle with tab

38

I , I , I I I I

o. .5 1.0I I

{l

1.5I I

2.0, I

2.5

....Ja..(f)

<o

10 dB

APPENDIX B


" max dB

30.0· 128.6

37.5· 127.9

45.00 127.7

52.5° 125.1

60.0· 125.5

67.5° 125.8

75.0· 125.6

82.5° 126.3

90.0° 126.7

97.5° 126.5

105.0· 126.9

112.5· 126.9

120.0· 127.6

127.5· 128.6

135.0· 130.3

142.5· 133.8

150.0· 137.0

157.5° 136.2

I I I I I I I I I I I I I I I I I Io. .5 1.0 1.5 2.0 2.5

{J

39

....JD.U1<o

APPENDIX B


-; max dB

30.0· 123.7

37.5· 124.7

45.0· 125.5

!2.5· 124.7

60.0· 125.2

67.5· 125.7

75.0· 126.0

82.5· 126.3

90.0° 127.0

97.5· 126.9

105.0· 127.1

112.5° 127.4

120.0· 127.9

127.S· 128.1

135.0° 132.4

142.5· 134.8

150.0· 135.7

157.5° 134.!

40

o. .S 1.0I I

1.5I I

2.0I I

2.5

APPENDIX C

VARIATION OF OVERALL SOUND PRESSURE LEVEL WITH ~ FOR DIFFERENT

VALUES OF ~

Nozzle configuration Page








Mach 1 .0 conical nozzle with tab 49


Mach 1.5 conical nozzle with tab 51

41

APPENDIX C


fl max dB

10 dB 2.15 136.0

I2.10 136.0

2.00 13.4.9

1.72 132.2

1.50 129.6

1.34 127.7

,..... 0--c 1.10 124.4~0C'I

1.00 122.8CD..........m"tJ 0.94 123.0....Jn- 0.80 120.0(IJ

-<0

0.70 119.9

0.60 116.9

0.40 109.7

0.20 108.0

0.00 106.8

42

30 60 90

1/1, deg

120 150 180

APPENDIX C


~ max dB

2.15 135.4

2.10 134.3

2.00 134.0

o 1.72 131.1

1.50 128.5

1.34 126.7

,..... 1.10 123.5c

~ 1.00 121.30C'IG 0.94 120.4~~

m-c 0.80 117.0......Ja.. 0.70 115.3(IIoct0

0.60 113.2

0.40 111.3

0.20 108.3

0.00 107.8

30 60 90

1/J. deg

120 150 180

43

APPENDIX C


113.8

109.8

1 t 1.3

fJ max dB

1.00 123.0

0.94 121.4

~ 0.80 118.8

...(r--O 0.70 115.9

r.--o---«.r--"O 0.00 109.0

~o--o 2.15 138.4

/ / 2.10 138.3

___-"--o----Q---O--O--O-O---V /' 2.00 137.1~o.-.a--o--v---"" ~ ./

0--0--0--0----o--n...-o--e--o--O--o--v- - 0--0---0--0--0-- ~ 1.72 134.9

o----Q-- ~~o 1.50 132.4

-~/'" 1.34 129.9\--0--0--.o--o--o--o---o--o--a--u----o"

v ~ 1.10 124.5u---o---v........-,;:>---o---v--c)--o--cr--o-o-~ if

~

I10 dB

I

..-1a..en-<o

oN

f-

30 60 90 120 150 180

V, deg

44

APPENDIX C


I p max dB10 dB

~<Y'~oI 2.00 136.9

o--c/0--0--0----<>--0--0--0--0--0--0-- 0--0--0 1.72 133.5

0--0-- c/~~~~o1.50 131.7

0--0--0.........0--0--0-0-0-0-0-0-0--0-- ~o--o 1.34- 129.5

~o--o--e>--o--o--O-o--o-o-o--o-o--~ 0--0--

0 1.10 124.6

c/'~~~~~~~~~1.00 121.4

,-...0 o--~~o--o--o-~~o-o--o-o--~ ~o

Q.. 0.94- 120.8::t

0 ~o.........o-o--o--o-o-o--O--O--~~o---"C"oI

CD 0--0--0-- 0--0-0 0.80 117.1s.."-'" 0--0--0--0-0--0-0-- 0--0--m 0-0--0-- 0-0 0.70 115.2"0 cr-o--~o-o-o-o--o---c>--o-o--~C:-~..-oJ ~o-o 0.60 113.5Q..(f)« ~e>--o-o--o--o-o--o-o--o--o--o--~ 0--0 0-0--- 0 0.40 110.1

o--o--~~o-----o--o-~ ~o 0.20 108.6

~o--o--~o--o-o--o--o--o--o-- 0--0--0-0 0.00 107.4-

cY"~o--<>--o---o--o--o-a----o----~

c/

30 60 90

'I/J, deg

120 150 180

45

Jn..VI-<o

46

APPENDIX C


1/1, deg

fJ max dB

APPENDIX C


p max dB

~2.00 139.0

1.72 135.0o---o-o--o--cr- /0--0.-.. cr-o--cr-0--- cr-

o--e--o--cr-cr-~ 0--0-0 1.50 131.6

o-o--O--o--cr-O-O-- /

128.70..- o--Q--o--(}--O--O--o-- ~o 1.34-0--0-- 0--0-0--~

~~~~~~~~o--o-- ~1.10 122.8

o-a--o..-(}--o--o--o-o--o-o-~o--o-o--o--"0-0 1.00 121.7",......

0--0---co--"~~O--~~~~~~o--o--o-~ ~n-

0.94- 119.0::t

~o--O-o--~o--o00.80 117.3C'l

en~~

~o--<>---o-----o ~C>--o 0.70 116.0m"'C

o-a--O--O-o-o-o--(}--cr--O- a--c--o--o..0.60 113.8--J

~o-<>-cr-~Q.(fJ0«

~~o--o 0.40 111.30~ cr-(}--o--~O--O-

~ o--~~o--~~o.-o 0.20 109.7~ ~~

~~o0.00 108.8

30 60 90 120 150 180

1/J, deg

47

APPENDIX C


48

1fI, deg

120I

150

fJ max dB

I180

JQ.(fJ«o

APPENDIX C


I30

I60 90

1/1, deg

120I

150I

180

49

'"CQ.:to

""CD............m"'C

Ja.en-<o

APPENDIX C


50

I30

I60

I I90 120

1fI, deg

150I

180

APPENDIX C


~ max dB

/o-~ 2.00 135.7

a---r/0...- 0--<>-0--0-0--0--0---0-- ~o-O-O 1.72 133.5

rr-~ 0-

~~~ 1.50 129.9

o--o--O--o--a---o--o--o--o---o--o--o--~

lfD--O 1.34- 128.4-

~C--O-C>--.o--o--D--o--o-o-~o--~ 0--0--0 1.10 123.2

~~o1.00 121.4-,-...c

o--~o..-a.-o--O--o--O--O--o--o--o-- ~Oa.. 0.94- 120.0:t0 ~o...-o--o--O-o--o-D--o--o-o--o--~~

CD ~o--O 0.80 116.7...o--~o--o--O-o----o.-a-.......

m e>--o--o-- ~o-O 0.70 115.1"'0.. o--o--<>-o-----o--o-C>---O--o-o-o--o-~ 0--<>-0 0.60 113.0...JQ. cr-~VJ< ~o--~~: 0.40 , 10.00

0.20 107.7a--o-o-c--o-o--o--o--o--a---o- o--~

0.00 107.0~ ~ a---e-oC>--.o--a--a-o-o--o--o--a---o- ~

~ 0--0--0--0---<>-0--~D--o--O--<>-O--~

30 60 90 120 150 180

t, deg

51

52

APPENDIX D

1/3-0CTAVE SOUND PRESSURE LEVELS FOR DIFFERENT VALUES OF C/J

Nozzle configuration Pages

Mach 1.0 contoured nozzle without tab 53-67

Mach 1.0 contoured nozzle with tab 68-82

Mach 1 .5 contoured nozzle without tab 83-97




APPENDIX D

Mach 1.0 contoured nozzle without tab, f3 - 0.00-I ~O--()..O-

10 dB

~~ ;, max dBr:I o-o--~

r:f /' ()-O'""O-o-O-O-O-cro-.o-~ 30.0· 84.3

~/ cI/ oP ~o-O-~Q.O- 37.5· 84.8

?'" r:I o-o-o-o-o-~o- 45.0· 89.7

r//~"-o- 52..5° 85.2

~aP'::n~~~ 60.0· 84.5......

oP'~ crt p--O--o.-o-O-O-O-O-O--O-c 67.5· 85.1'!t eyrY' o-"'~ r~ 75.0· 85.40 a"~0'" o"~Zo--o-o--o-.o-o-o-o-o-o-o-o.... 0 82.5° 85.8C'l

f ?: a"if/'/ ~ 90.0· 86.20....; r/" if c?' ~ 97.5· 86.4m

~ ~~105.0."'D.. 87.6-CD> ~ ~~~ ~ 112.5· 88.5CD

"'D cr- ?'c:T'Cf'cf.CT'~o--o--o--o-o-o-o-o...o- ~ , 20.0 Cl 89.5c ~a"cfc?' 0- ~ ,tJ.c Z r:T~ 0.. 127.5· 91.1

CD cY (j'r:I' r/ ~ ()..> 93.4tJ /c:T'r:I'a.rf.~~ 135.0°-u0:?~/I 142.5° 95.1"'D

L

~if ~<Y-.c...~

150.011 98.2

99.1

.1 1I I I I " .I

10I I I! "

100

Frequency, kHz

53

..; max dB

m"0

...

~-"'Cs:::c.a

CD

~uoI:g

..cI-

54

J10 dB

.1

APPENDIX D

T.=19.1°C

f/J =42.1 "1111.1 I 1"""

1 10

Frequency, kHz

30.00

37.50

45.00

100

0.20

85.3

85.890.7

85.6

85.7

85.885.986.3

87.087.2

88.389.0

90.3

91.8

94.2

95.9

98.9

99.8

APPENDIX D

157.5° 102.3

1 I I II I

F

1iftO-_-l..---L1-.1-.1..1-1 ..L.L1 ,I

requency, kHz 'u ' 1 '~OD

T. c 19.2°C

; c 42.5%

I I " "1 I 1 I

55

m"tJ..

CD

~-"Cc:o.c

CD>ouoI

'E-.c:t-

APPENDIX D

Mach 1.0 contoured nozzle without tab, {3 = 0.60

I10 dBI

56

.1

Ta = 19.3°C

f/l :: 42.3"

l....llla! I I llllli1 10

Frequency, kHz

I I lId100

APPENDIX D

T. = 19.5°C

.; = 42.2.%

I " " I-1----- I I I

Frequency, kHz

0.70

142.5° 108.6

o 150.0° 110.9

o 157.5° 109.3

57

APPENDIX D

Mach 1.0 contoured nozzle without tab, {3 - 0.80

I ~10 dB

7\O""cYO"'~I0,

0...0-0...0... 0...0..0...0- f'. 0 ...0.... 0'0... "It max dB

0-'1-7 ~ CH>-o-~ ~ 0-r ~o... 0.... "'0 30.00 113.2

cf o-ifYtf O-dl-o-ro-o.. "-0..0-.0..'

O-o-o-o-o-c1 r:F o-cr ~o..... 0...0..0 D..-o..." 0 37.50 115.6

cf cI i 0..."-o-~, 0.." 45.0 0 114.1o-o-o-o-~ ~cfO-cf0.. rI 0..0-0...0 '0-0..." 0..0.....

52.50 108.2,-... ~ 0-<1 errc:;;.o..cfcI,"-o.. '''-0.. 0c ~ if ~ ~o.... 0.. 0..."a..0-0-0-0-0'00' ;lrl~o.~o 60.00 109.0::t

0 o.o-c:ArfJ if cY"-o- ~j; "" "'0 67.50 109.3N if 0-0_ ~o..."cu

0-0-0-0-0-" c?';/~~~ "'-- 0-0.,0 75.00 109.2

s..82.50 110.8......... cf 0" o-o-if "'0- 0... 0

0- o-o-<Y' if.... 0.....al0- ""if cfQ""? o-oAf' 0_0-0-0...'0-0...

00...0 90.00 111.0"C.. O-o-o-o-~if""if p- ~ "'o..c-"-o.. '0.0 97.5' 111.4

cu cf' 0 ~o- 0-0....> 0-0-0-0- 0"" O"o"if cf'~o-O- 0...0-0- 0...0..."cu

ero'"cfQ""if"" ~o- ..o-o-D-O-~ D....a..,o- 0 105.011 106.0"C 0-0-0-0.... 0..... Y cf 0-0-0-0-0-0 0-0-..0... 0...0 112 5 11c 104.9c cf 0 Q"" if 0-0-0- o-o-o...~ .

..a O-o-o-O-~ ...cI 0.... 0-0-0- 0-0- 0 ..."'0105.0

cu cF0 . cI' if ~ 120.011

> ~ ,If if ct'~O-D-o-o_ 0-c o <Y'O- cf 0-0-0-0-0-0... 0...0 127.511 105.3- if~ if cf 0-0-0... 0...u0- ? Q"" cr 0-0... 0-0...0

J (f'if 0.... r!~?~ 0-..0-0... 0..."C Z cf 0'" o-o-o-D...e-. 0...0 135.0° 106.9L.- o-cf cI cl'dP C>...c.. ,.c-:/ ~ cf' 0"'0-0...0-0..... o...Q...o....

... cI<Y'~o-O... 0...0 -0 -o-O-o...e- '0..0 142.5° 109.9

O-/§ 0 '<>-0-0.'0"" rl7 ~ 0 150.0° 112.1

o-rr(f'~ 0.....0...?cr 0.....0..0 157.511 110.8err

T.= 19.5 11 C

q, =42.4 ~

58

.1I II I I I I I I I I I I

10

Frequency, kHz

" " I100

APPENDIX D


m"t:J..

CD>CD

"t:JCg.c

CD>guoI

"t:JI.--.cJ-

I II I! I1

I I I I " I I10

Frequency, kHz

I I " .I100

59

c\oC'I

E........m'"0

m>II)

"0Co.0

CD>C-UoJ

"0~.t:....

APPENDIX D

Mach 1.0 contoured nozzle without tab, f3 - 1.00

"" max dB

30.0° 118.8

52.5· 113.3

.1

4J = 42.1 r.! I " Ill! ! I

1 10 100

60

Frequency, kHz

APPENDIX D


..CD

~

"CCQ.c

CD>QuoI

"C.=.c....

T. = 19.5°C

f/J =42.1 %

-/I max dB

.1I I If rI

1I I I II II I

10

Frequency, kHz

I I If rI100

61

APPENDIX D


a'0~

L~~C>-o-~~~,'

"/I max dB

30.0° 114..0

~~~~ 37.5° 114..8

~~::?~~~ 4.5.0° 116.6

0-0-0-A J r ~ o-o-~ 52.5° 114..5

cri 0- ~0-0-0-0... O-~0....0 60.0° 114..7,.......

/~~~~0

\ 67.5° 115.10

~ 0'0?O-if j ~~ 75.0° 114..2N

CD

~~ ~ (K}'0-4c-I "-0-0-0-82.50 115.4...- crif ? '0'" 0-0... 0 90.0° 114..8

m ~O' ~ ~""'-o- D-o..o 97.5" 114.2"0..~r/~~'CD

> 113.0CD 0'0' 0-0-0--0-0" r Oo..o..a..O-a 105.0"-"0 00' o..c ()..0112.5" 113.0c o-ercT o-<>-o-o--CYO"" 0-0-.. '0-0...0...0

%0 ~~~ ~ "-<>-0 120.0".a 113.7CD cr 0-0- "'0.-> (Y??, cr 0-0-0-0-0-0-0-0-0-0-0..Q..0... 0...0 127.5Qtl 114.1-(J /'/:~~ ().."""0J cT ?cr ~Q'" o-o~ 0-0 135.0° 110.9"0L rfY 0'" crdcf crey-O"""O-O-~o...c- 0-",-.cf- rfYO'cr'" .;1cryo-e-o-~ ~ ()..C>.o 142.5" 114..4.

~cr "c:f' Z 0 150.0° 118.1

~ '-.,157.5" 118.5

T. = 19.5°C

f/! = 4.1.9"

L_~-<--~,.......' ......' ......' ,~I_----'----11---'-,--1'--11--..'->.1......."'---_~-'--L..-L-I ..L-'.L-,'IL..L.III.1 1 10 100

frequency, kHz

62

"CI:g.c

~g(J

oI

~.r:.....

APPENDIX D

y, max dB

30.0° 113.7

o 157.5° 120.3

T. =19.5°C

1__-'--L-'-L...LJ~~f/J-==~4~1'7~": -L.w.~~_-,--,-.L.l...J. , ,1

I I I I• I " I

1I I I

II " "

Frequency, kHz 10 I I I Ii~o

63

APPENDIX D


m"0

~"0Co.a

CD

~uoI:g

.cJ-

64

T. == 20.0 0 C

'" == 42.3";:_--1.---JL-.L-l1-l1....1.'...L1II II1 __L'~I-i'L..L.L..L1 ,, I , II I

F 10requency, kHz

'if max dB

52.5- 112.2

122.8

, "" I100

APPENDIX D

Mach 1.0 contoured nozzle without tab, {3 2.00

'f max dB

30.0° 111.7

37.5° 113.545.0° 115.6

52.5° 112.7

60.0° 112.9

~ 67.5° 113.0c

75.0° 113.3'!t 82.5° 114.20N 90.0° 114.2lD 97.5° 113.6~........m"0 113.8..

114.2CD>lD 115.0"0E: 116.6c.c

CD 117.4>c-()0

120.2J"0L.-.E:.... 124.4

125.6

.1

T. = 19.9°C

; = 41.1 "1111.1 111111.1

1 10

Frequency, kHz

, I II .I100

65

APPENDIX D

Mach 1.0 contoured nozzle without tab, {3 2.10

~ -{I max dBif if 0-0-0-0-0-0.. 0-0..

~~~~~ 30.0° 112.7

rI o-~ 37.5° 114.3

a~ 45.00 116.6r ~~52.5° 112.7

~~ ~O-<l-O.-c.. "-060.0° 113.1

Zrl ~67.S"113.5,-...c 0- 7500 114.3\ ~/~08~S" 115.20 ~~ r-o-o- "-0 90.0" 115.2N

f o-cr~ ~:~~o-.o--C>-o..o..o- 97.50 114.7

........

~~~105.0"m115.0"'0

~ ~~112.S".. 115.0CD

~/ /~<>-o.. 120.0"> 116.0CD

"'0 ~oP'~~ "-<>-0127.S" 117.1s:::::C

~ ~~135.0·.c119.2CD

> ~~~~O-O~~ ~c- /h~~~142.S·u 120.70J

"'0

~y ~~ISo.o"L.-..c: 125.4...? o...~~ 0..0 157.50 126.6

T. =20.1°C

." = 40.3"

66

.1 " " "1 I I I II " I10

Frequency, kHz

I I I " I100

T. = 19.50 C

9 = 42.9%

oN

f........m"'C

"'0CC.c

CD>CuoI

"E-.cI-

.1I , II "

1

APPENDIX D

, I , , II .I10

Frequency, kHz

I I II .I100

67

APPENDIX D

Mach 1.0 contoured nozzle with tab, p = 0.00

"/I max dB

30.0° 86.3

37.5° 86.9

45.0° 88.4-

52.5° 87.2

60.0° 87.4-

67.5° 87.1,....,75.0° 87.2c

\ 82.5° 88.30 88.5N

cu 89.3~'-"

m 89.7"'0.. 90.7

CD> 92.1CD

"'0 92.9cc.c

CD 95.4>c-(J0 98.3I

"'0L.-.c 99.5I-

157.5° 98.9

T. = 19.aoc

; = 45.2~

.1I I ,,"

1I I I "II I

10, " "I

100

Frequency, kHz

68

APPENDIX D

Mach 1.0 contoured nozzle with tab, fJ = 0.20

157.5° 100.1

""max dB

30.0° 86.3

37.5° 87.4

45.0° 88.9

52.5° 88.0

60.0° 87.9

67.5° 88.3,.....c 75.0° 87.9'!t 82.5° 88.60 90.0° 88.5N

f 97.5° 89.8-m 105.0· 90.7"C.. 112.5° 91.2CD> 120.0° 82.6.!"Cc 12.7.5· 94.2.c.alD 135.0° 96.2~-ua 142.5° 98.0I

"E-.r:.150.0· 100.2I-

T. =19.5oC

; =44.2"

.1I I ,,"

1I I I "" ,

10" "I100

Frequency, kHz

69

APPENDIX D

Mach 1.0 contoured nozzle with = 0.40

m"C

"Cr:c.a

~.E(J

oI].r:J-

70

.1

T.=19.5D C

~ = 44.3%

I " "I1 I I I I I I " IFr ---:;;,O~---L- I

equency, kHz

t max dB

30.00 95.5

92.5

92.9

94.3

95.9

98.4

157.5D 102.4

I I I " I100

APPENDIX D

Mach 1.0 contoured p - 0.60

0...o 135.0° 100.7

"/J max dB

30.00 103.3

98.4

96.996.9

97.3

127.5°

I " II I

F

'4'j1O)o---JL.-...L-.L..1.'...L.L , I I

requency. kHz " I I '~OO

T. =19.5°C

; =44.1 ,:;

I I " " 1 I"

oN

m"C

CD

~

"CCo.c

CD>.EuoI

"E-.c~

71

APPENDIX D


l' max dB

30.00 106.1

37.5° 106.145.00 106.4

52.5° 105.2

60.0° 104.9

"""067.5° 104.6'!t 75.0° 103.9

0N 82.5° 104.1

CD90.0° 103.0So......,.

m 97.5° 102.0"'C..

CD 100.7>

99.9CD-"'C

100.3c0.c

CD 99.7>tJ-0 102.40I

"'C.!::.t: 106.0....

107.0

157.5D 106.1

T. ;:: 19.5° C

; =43.7"

.1I I " .I

1I I I " II I

10I I 11.1

100

Frequency, kHz

72

APPENDIX D

Mach 1.0 contoured nozzle with tab, fJ - 0.80

" max dB

30.0° 107.8

37.5° 107.745.0· 108.452.5° 107.7

60.0° 107.1"......c\ 67.5· 106.6

075.0· 106.7

C'I 82.5° 105.6f 90.0· 105.0......,m 97.5· 104.0"'C.."i 103.2~ 102.9-

"'Cc 120.0· 103.5a.ae 127.5° 102.9>a-u0 135.0· 104.2I

"E-.c~ 142.5· 107.5

150.0· 108.7

157.5· 108.1

T. = 19.5°C

~ = 43.6Y.

.1I I ,,"

1I I I I II "

10 100

Frequency, kHz

73

APPENDIX D


t max dB

30.0° 110.1

37.5° 110.9

45.00 111.2

52.5° 109.5

60.0° 109.4,.....c

67.5° 109.3\109.40

N108.8

f 108.2'-"m 106.8"'C..

CD106.0>

CD105.6

"'Cc

107.0c.c

CD 105.9>c-u0 106.7I"E-.c....

110.5

112.0

111.4

T.=19.5°C

~ = 43.8"

.1" ".I

1I I I I ".I

10I I" .I

100

Frequency, kHz

74

APPENDIX D

Mach 1.0 contoured nozzle with tab, f3 = 1.00

T.=19.5°C

; = 43.3"

L-~-..L--L.-J.I--II--II,-1.I..L..lL--_.L---&I~'.....I1.....II-IU',-1.1.L-I_.--L.--,I~I--,-I..1-1-4-'L..L.>'.I.1 1 10 100

Frequency, kHz

75

APPENDIX D

Mach 1.0 contoured nozzle with tab, p = 1.1 0

""max dB

30.0° 112.1

37.5° 111.9

45.0° 112.7

52.5° 110.7

60.0° 111.1.......c%. 67.5° 110.4

75.0° 109.90N 82.5° 109.8

CD 90.0° 110.0...-...;

m 108.5"'0..

CD 108.7> 108.4CD-

"'0 109.7t:0.c

CD 109.3>0-(J 107.90I

"E-.s:: 112.2I-

114.7

157.50 114.1

T. =19.5°C

f/I == 43.2 %

L----JL..--...L...--.J.........., -L.'.......L.LII-L.I_--L..----L•.....;..·..J-I.......'....&'.......I..J-'~,,__-----I_.L-...J""----L-'......' .L.I'.~.1.1 1 10 100

Frequency, kHz

76

Mach 1.0 contoured

APPENDIX D

fJ = 1 3. 4

m"0..

CD>.!"Cs::c.c

CD>.EuoI:g

.c~

T. = 19.5°C

; &:: 43.1 "_.L.-.I.-L.ILIWII:..l..!LI_

1.1- ---Lo'--l1L.L.L-L..L 1 I

I I " "10 __--L... _I-4.-LI I

frequency, kHz I I I I~Jo

-; max dB

111.7

77

APPENDIX D

Mach 1.0 contoured nozzle with tab, f3 == 1.50

T. I:: 19.5°0

'" I:: 43.1 r.....1 _---L_~.L.-J,I_lI~IUI....l..I~1__----l......_. .L.1--1-1 ....L1...l1.....l1-L1..J,.1J....I_---J._~.L..-I.I-II-II...lI.u"

.1 1 10 100

Frequency, kHz

~b dBI

" max dB

30.0° 109.8

37.5° 110.945.0° , 11.4

52.5° 110.2

60.0° 110.6

67.5° 110.8,-...c 75.0° 110.9\ 82.5° 11 1.30 112.0C'I

f 111.0"'-J

m 110.4"tJ.. 112.5° 111.1CD>

o-~120.0.CD 112.8-"tJ

-o-O--o-o..o-o-~ 127.5°c 112.3c.a

~CD> 0...0 135.0· 114.2tJ-u0

142.5°I 117.2'E-.c

150.0°... 118.7

157.5° 118.1

78

oN

f'-'

m"'0..

CD

~"'0t:o.c

CD>CUoI

"E-.t:.-.

APPENDIX D

Mach 1.0 contoured nozzle with tab, fJrl10 dBI

1.72

" max dB

30.0° 110.6

37.5° 111.645.00 112.452.50 111.7

60.0° 112.6

67.5° 113.375.0° 113.4

82.5° 114.1113.7113.5

112.9112.8

113.3

113.9

116.7

119.7

121.2

120.8

.1

T. =: 19.6°C

fit =: 43.2%

II!I.I IIII!I.I

1 10

Frequency, kHz

I I !I .I

100

79

APPENDIX D


..ID>Q)

"'Cc:C.aID>C-ooJ

"E-.c....

I10 dBI

T. = 19.5°C

q, =42.1 ~

fI max dB

111.1

112.9114-.4

114.0

60.0° 114-.6

67.5° 115.375.0° 115.7

82.5° 116.1116.7115.8

115.4115.1

116.0

116.4-

119.1

121.5

123.4

123.1

80

.1I I I II I

1I I I I II "

10

Frequency, kHz

I I II "100

APPENDIX D

Mach 1.0 contoured nozzle with tab, {3 = 2.1 0

" max dB

30.0° 111.8

37.5° 113.145.0° 115.1

52.5° 1' ....7

60.0° 115.1

67.5° 115.3

,-... 75.0° 116.2c

82.5° 116.8'S.0 90.0· 117.0

0C'I 97.5° 116.8cu...'-'m 115.9"0 116.1..cu 117.0>4D-

"0 117.9ctJ.c 119.9

CD

£;- 122.0uaI

"E 124.4-..c:~

124.3

.1

T. =19.3°C

f/I = 42.0"1111.1 11111,,1

1 10

Frequency, kHz

100

81

APPENDIX D


y, max dB

30.0° 111.8

37.5° 113.645.0° 115.4

52.5° 115.0

60.0° 115.4

67.5° 116.175.0° 116.9...-..

c82.5°%. 117.6

0 90.0° 117.2N 117.0CD~-m 116.7

"'C 116.1..CD 117.5>CD-

"'C 118.1t:c

120•.4-.aCD>

O-.e-.o 142.SQC

122.2-u0I

'E 124.2-..c:I-

124.6

T. = 19.0Q C

; =42.3";

l.1 1

I I I " "I10

I I " .I100

Frequency, kHz

82

APPENDIX D

Mach 1.5 contoured nozzle without tab, f3 0.00

" max dB

30.0° 88.0

37.5° 90.1.c5.0° 92.2

52.5° 90.8

60.0° 90.6

,.... 67.5° 91.40 75.0° 91.0~ 82.5° 91.70C"ol 90.0° 92.2

f 97.5° 92.3.....,at-0 105.0° 92.8..

112.5° 93.1CD>.!! 12.0.0° 93.8"Cc 127.5° 95.40.a

CD 135.0° 97.4>.,-u 99.10I

"E- 150.0° 100.3.c~

157.5° 101.0

T. = 20.8°C

; = 46.3~

.1I I II "

1I I I " "I

10" "I100

Frequency, kHz

83

APPENDIX D

Mach 1.5 contoured nozzle without tab, f1 = 0.20

y max dB

30.0° 89.3

37.5° 91.945.0· 94.0

52.5° 92.6

60.0° 92.1

"67.5° 92.2

c 75.0° 91.8~ 82.5° 92.40 90.0° 92.7N

CD 97.5° 92.8a..'-'

m 105.0· 93.3"'0.. 112.5· 93.6CD> 120.0· 9.4..84)

"'0 127.5· 96.1t:C

..a 135.0· 98."CD>C- 142.5° 100.1(J

0I

"'0L. 150.0· 101.6-.c....

157.5· 101.5

T. c 20.7·C

~ =44.7~

.1I I ".I

1I I I I " "

10I I I " I

100

Frequency, kHz

84

APPENDIX D

150.0· 103.1

142.5° 101.6

y max dB

30.0· 91.5

37.5· 93.445.0· 95.2

52.5° 93.6

60.0· 93.4

67.5° 93.275.0· 93.3

82.5· 93.7

90.0· 94.097.5· 93.8

105.0· 94.0112.5· 94.6

120.0· 95.8

127.5° 97•.4

135.0· 99.7

Mach 1.5 contoured nozzle without tab, {J - 0.40

I10 dBI

m"C..CD

~-'CCo.c

CD>ouoI:g

.c...

T. == 20.5°C

f/J == 4.4.4 %

.1I I ,,"

1I I I " II I

10I I " ,J

100

Frequency, kHz

85

oN

f'-'

m"'0..Q)

~-"'0CC.a

CD>CUoI

'E:ct-

APPENDIX D

Mach 1.5 contoured nozzle without tab, (3 = 0.60

" max dB

30.0° 102.5

37.5° 103.945.0° 104.5

52.5° 103.1

60.0° 103.1

67.5° 102.275.0° 101.5

82.5° 101.2

90.0° 100.597.5° 99.2

97.797.5

97.7

98.9

135.0· 101.4

103.6

105.8

105.7

Tel =20.4·C

; = 44.9"

86

.1I I I " I

1I I I "" I

10

Frequency, kHz

I I " "100

APPENDIX D

m"0

-:

j"0Ca.c

CD

~(,JoI

"0.!::.s::I-

I , " .Ir 1100_--l...--L.--l...'..1.1...L1-.1-1 II 1"

requency. kHz lIio

T. = 20.4.° C

; =45.1 "

, I " "

87

APPENDIX D

142.5° 107.1

110.2

109.8

Mach 1.5 contoured nozzle without tab, (:J = 0.80

I10 dBI

" max dB

30.0° 111.3

37.5° 111.7

45.0° 112.2

52.5° 110.6,-..

60.0° 110.4c.

as. 67.5° 109.70 75.0° 109.8C'l

CD 82.5° 109.5......-m 90.0° 108.0"0 97.5° 106.8..

CD>C) 105.5

"0 104.8s:c 105.5..cCD> 127.5° 105.1tJ-00I 135.0° 103.9

"0L.-..c:....

.1I I ".I

1L"'''.!

10" "I

100

Frequency, kHz

88

APPENDIX D

Mach 1.5 contoured nozzle without tab, {J = 0.94

m"1J.."ii~

"1JCC.c

CD

~uoI:g

.s::.~

10 dB

.1

Ta =: 20.4°C

f/J ::: 44.8 ~

11".1 ",,,,,11 10

Frequency, kHz

" max dB

30.0" 112.8

37.5· 111.2

45.0· 112.3

52.5" 106.6

60.0° 105.9

67.50 106.275.00 106.5

82.5° 108.0

90.0° 107.297.5° 105.3

105.0· 103.5112.5° 102.8

103.3

103.8

135.0· 106.2

1.42.5° 109.9

150.0° 112.6

157.5" 112.7

" "I100

89

APPENDIX D

Mach 1.5 contoured nozzle without tab, f:J 1.00

oN

f.......m"C..

CD

~-"'Ct:C.c

CD>C(J

oI

"E-.t:...

II10 dBI

y max dB

30.0° 105.3

37.5· 105.1

45.0° 105.7

52.5· 104.3

60.0° 104.1

67.5° 103.775.0° 103.3

82.5° 102.9

90.0° 102.497.5° 102.0

101.7101.9

102.2

102.9

105.9

110.1

150.0° 113.1

157.5° 113.2

90

T. = 20.4°C

; = 44.5 '-=L_--L_L.-...I--L.!..&..1..&..1.1-,;11L..I.1__1---I.1--1.1....II~Iwi1u,1..&..1_---1_.l-.L-I.-I.1-I.1..L.I.LId

.1 1 10 100

Frequency, kHz

APPENDIX D

Mach 1.5 contoured nozzle without tab, {3 = 1.1 0

111.9

115.5

107....

114.8

100I I " .r

10I I I II "I

T. = 20.4°C

tit = 44.7"

1I I " .r

.1

;, max dB

30.0° 102.8

37.5° 102.9

.c.s.0° 10....7

52.5· 102.8

.-.. 60.0° 103.4c~ 67.5° 103.2

0 75.0· 102.5N

82.5° 102.9CD'- 102.4-m 102.2

"C...

CD 101.5>CD 101.9--c

102.8s::::c.a

CD 10....6>c-<:0I

"CL.-.s::....

Frequency, kHz

91

APPENDIX D

Mach 1.5 contoured nozzle without tab, fJ = 1.34

100I '" d

:-1

~? dB

;, max dB

30.0° 119.0

37.5° 117.6

45.0° 116.2

52.5° 114.8

60.0° 115.4

67.5° 115.475.0° 115.3

82.5° 115.9m

114.9"'0.. 114.8CD>CD-

"C 113.5t: 113.1c

.CI

CD 114.5>c- 115.6u0I

"'C112.2...-.c

t-

117.1

120.3

120.2

Frequency, kHz

92

APPENDIX D


m"'0

"'0c:o.c

Q)

>oooJ

"'0L-.c:t-

I10 dBI

Ttl = 20.5°C

q, = 45.4 %

"/I max dB

.1I I II .I

1I 11111.1

10

Frequency, kHz

I II II I100

93

tIl-0

CD>CD-

"'CCo.c

CD>o-ooI

"E-..c:I-

APPENDIX D


Til = 20.5°C

." = 43.8"

94

.1I I I " I

1I I I II " I

10

Frequency, kHz

I I " .I100

Td = 20.3°C

.p = 43.3"

m"0..-CD

~-"'CCo.c

CD>oooI

"E-.c...

.1 I I " " 1

APPENDIX D

I I I I " "10

Frequency, kHz

I I " .I100

95

m"C

"CCtJ

..cCU>tJooJ

"'CL.-.c...

96

APPENDIX D

Td = 20.1°C

if! = 43.3 %

.,~_---'---..1..---1........1..• ...1..'...1..'l.J1't;---L_'L-l.I......JIL'LJIU.'.l;-~k-~ _-L---L-L.-1.'..l.'-1.'.uJ'1'60

Frequency, kHz

APPENDIX D

Mach 1.5 contoured nozzle without tab p = 2.15t

10 dB o-et:()..O"'~~?- r ~C>-<l-o-~~::~, " max dB

o-;;;~ ~o. 30.0~ 114.0

37.50 115.7

cr ~~,45.00 116.0

cI ' 0

52.50 114.6

~ rr<:~ "'0..~ 60.0° 114.9

,.....

~~~~~c67.50 116.0

'!t 75.0° 115.3

0 r? «~~082.5'N

116.2

f/ ~~ 0-0.."-0 90.0'

116.5

'-' ~?' if :::;: 97.5'm

116.5

"'0 ~?~~10~O'.. 116.3

GJ> ~ r:?' ~ <>-0-"-0-0... 0 112.5'

116.4

GJ- if?'L~~120.0'"'0

116.8

cc ~/~~ "-0127.5'.a

118.1

CD Z /~~~~135.D'>121.2

c-u0 /' if~~ 0-0142.5'I

124.6

"'0a.. ~ <>-0..0... "'0-0 150.0'-.cI-

129.6

rr/ ~oP ~00..0 157.5° 129.7

T. =19.7°C

." = 44.0 %

;1-_---I......---L.--LL'LI.L.JI'U:'f-I_---L-l..---L...L..J...J....LJ.;~---L---L.--L..L.L.L.L.LJ1

. . . I , , , '" I• 1 .... ""1110 100

Frequency, kHz

97

APPENDIX D

= 0.00

92.7

93.594-.4-

91.191.291.2

91.692.2

'" max dB

30.0° 85.8

37.50 88.545.00 91.3

90.4-

60.0° 90.6

67.5°75.0°82.50

90.0°97.5°

m"'C..Gi~"'CCo.c

juoI

"E-.cto-

T. = 10.0°C

'i----'----'--'-..Ll...LL't-;:==27~.~5:"-'-..Ll...LL*_---'---'--'-...L..I...LLL.1 I I , I , I1 I 111,"1

Frequency, kHz 10 I I ";~o

98

m"'0..

CD

~

"'CCo.c

~oooI

"E-.ct-

APPENDIX D

T. = 10.0°C

if! = 27.5%

.1I I " rI

1I I I " "I

10

Frequency, kHz

I I " rI100

99

..CD

~

"Cs::C.c

CD>C-ooI

"E-.s::....

I10 dBI

APPENDIX D

Ttl = 9.9°C

q, c 27.5 %

.1 I I " "1I I " " I

10Illd

100

100

Frequency, kHz

APPENDIX D

m"'0

...:

j"'0CC.c

juoI

"E-.r....

I " "I

F

1ftO_---L.--L-L...L1 ...LLJI ,Irequency. kHz U • I I ';00

T.= 9.9 D C

~ = 27.4%

I I I " I1 I I ,

101

APPENDIX D

Mach 1.5 contoured fJ = 0.70

j"Cc:o.c

juaI:g

.cI-

102

T. =: 10.0o C

; &: 27.3"

_ ........' -1.'...L'...L.' Ll.l_-1 .'-----I1'---.l.I....L-LLJ4_, , " "F 10requency, kHz

" max dB

30.0° 104..8

I I "" I100

APPENDIX D

Mach 1.5 contoured nozzle

I I II "F 1(1O)--1.-.JL...LI-11....JI~1'"I I

requency, kHz 100

T. = 10.0°C

t/J =27.2 %

I I II " .1 I I I

m"'C..

CD

.!"'CCtJ.c

CD>tJUoI

"'tJL.:c....

103

APPENDIX D

1 max dB

30.0° 107.6

I I " "Frequency, kHZ1C1Ol--l_I.-.L_LILjlII ";60

Til = 10.0°C

q, c 27.1 %

I , " I I1 I I I


104

APPENDIX D


T.. = 10.1°C

1;------1.----1 ." = 26.9 %.1 I I I I , I I I1 I I I I I I " I

r

-:;';1OO---lL--.L.....Jl-L.1 .LUI , II

requency. kHz " ' I ';OD

105

APPENDIX D

Mach 1.5 contoured nozzle with tab, fJ = 1.1 0

'fjI max dB

30.0° 108.8

37.5· 109.2

45.0° 109.8

52.5° 108.6

60.0· 108.2

67.5° 108.4,.....c 75.0° 108.7%.

108.20

108.1C'I

lD 107.7..'-'m 106.9"0.. 106.4-Qj> 106.9lD

"0CC.clD

~-u0I

'E-.c~

T. = 10.2°C

; =26.4%

.1, , ,,"

1, , , "" I

10 I , " "100

Frequency, kHz

106

APPENDIX D

Mach 1.5 contoured nozzle w'ith tab, fJ = 1.34

..:

j"'CI:C.c

CD>.EuoI

'E~

"" max dB

30.0° 115.3

37.5° 115.545.0· 116.0

52.5° 114.6

60.0· 114.7

112.8113.0

o 157.5° 118.9

T. =10.0·C

.11_-1.........1.'-1...'.1.'.1.'.1.'J.J''~I'"_=a--=27~..2~"~• ..L.LJ...~i--.L-..L..J....l...w-'-LI I I. ' , " I

Frequency, kHz 10 I I I I~~oII

: 107

APPENDIX D


100I I " .II , , I ".I

10

T. =10.1°e

." = 27.0"

1, , I " I

.1

11 max dB

30.0· , 17.6

37.5° 118.0

45.0° , 18.0

52.5° , 16.1

60.0° , 16.2,....a 67.5° , 16.9'S. 75.0° , 17.50

82.5° , 16.2C'I

CD~

, 17.3.......m ' 15.9"0..CD 115.5>CD 116.0-

"0E: 117.2a

..cCD 116.5>a-u 115.10I

'E- 120.'.c:....122.4-

121.2

Frequency, kHz

108

APPENDIX D


123.7

"/J max dB

30.0° 117.9

37.5° 119.045.0° 118.5

52.5° 116.9

60.0° 117.7

67.5° , 17.6,.....c 75.0° 117.5\ 82.5° 118.00

117.8C'I

CD , 17.7I.-m

"0 117.0..116.7CD

>CD 117.7-

"0s:: 118.0c.c

CD 117.8>c-u0 122.9I'E-.c

124.9...

T. =10.2°C

" = 26.8"

.1I I " .I

1I I I I " ,I

10I I I " I

100

Frequency, kHz

109

APPENDIX D


""max dB

30.0° 113.4

37.5° 115.045.0° 116.0

52.5° 114.4

60.0° 115.4

67.5° 115.9

75.0° 116.2".....a 82.5° 116.5~ 117.30

116.9N

f- 117.0m117.0"'C..

CD 118.0>CD- , 18.0

"'CCa

122.1..cCD>a- 125.1u0I

'E 126.4-os=.to-

125.2

T.= 10.SoC

; = 26.0"

.1 I I " " 1I I I I " .I

10 I I " "100

Frequency, kHz

110

APPENDIX D


..C)

~-'CCa

eO

CD

.EuoI

"E-.c....

T. =16.7°C

~ = 46.4%111111 I 1111,,1

1 10

Frequency, kHz

y max dB

30.0° 88.1

37.5· 90.4

45.0· 93.752.5° 92.5

60.0· 93.0

67.5° 94.675.0° 94.4

82.5° 95.690.0° 95.897.5° 95.4

95.695.7

95.8

96.1

97.6

99.2

99.8

157.5° 100.4

I I II I100

111

m"tJ..

CD>CD

"CCC.c

CD>C(J

oI

"E-.c...

APPENDIX D

Mach 2.0 contoured nozzle without tab, (3 - 0.20-

""max dB

30.0° 89.6

37.5° 91.7

45.0° 95.3

52.5° 93.5

60.0° 94.8

67.5° 95.875.0° 95.682.5° 96.1

96.196.1

96.196.2

96.5

96.6

135.0° 98.1

99.5

101.1

100.6

112

L.1

I I ,,"1

I I I " "I10

Frequency, kHz

I "" I100

m"0..

CD

~

"0t:C

.D

CD>CuoI

'E-.c....

APPENDIX D

Mach 2.0 contoured nozzle without tab, {:J = 0.40

t max dB

30.00 93.6

37.5° 96.245.00 99.1

52.5° 97.0

60.00 97.8

67.50 98.175.00 97.4-

82.5° 97.8

97.697.1

97.197.2

97.5

97.8

100.1

101.7

103.1

157.5° 103.1

T. ::: 16.5° C

; ::: 45.2%

.1I I I II rI

1I I , I II "

10

Frequency, kHz

,,,"100

113

APPENDIX D


n10 dB

114

.1

Ta =16.5°C

; ::; 45.0"1!lId . I ",,,,,1

1 10

Frequency, kHz

I I I II I100

APPENDIX D


y max dB

30.0° 99.6

37.5° 101.2

45.0° 103.652.5° 102.0

60.0° 101.6

67.5° 102.1,-.. 75.0° 101.4c\ 82.5° 100.9

99.90C'I

99.9CD...-m 100.3

"'C100.4..

CD101.7>

CD-"C 101.8ctJ 103.6.0G)

>tJ 106.0-u0I

"C 107.3L.-..c...106.9

T. == 16.5°C

f/J = 45.1 "L_-!----L-~L..!.1-.1 .LJ''u'...1-I_~_..1-.'.....J'L.-L..!...1-'...1-'.LJ'I~L:-------J~..L.-.L-L'-J.'-J.'..L'.LI"

.1 1 10 100

Frequency, kHz

115

APPENDIX D


CD

~-"0t:C.a

CD>CQoI

"E:c...

116

~dB

LL..._...L_ I.1

T. == 16.4°C

9 == 51.2"I I I I I I _. I I _ I I II I I I

1 10

Frequency, kHz

V max dB

30.0° 102.8

37.50 103.945.00 105.9

52.5° 103.8

60.0° 103.1

67.5° 103.1

75.0° 102.4

82.5° 102.1

101.6101.9

101.1101.6

102.0

102.7

105.1

107.2

109.0

108.6

1111.1100

APPENDIX D


~dB""

max dBI.I

~ 30.0° 106.6I

37.5° 107.245.0° 108.9

52.5° 106.3

60.0° 106.6,...... 67.5° 107.1c%. 75.0° 106.7

0 82.5° 105.4C'IG) 90.0° 104.1'- 0 97.5° 103.9.........m"'0.. 103.3G) 102.9>G)-

"'0 103.7t:c 103.7.cG)

> 105.60-u0I 108.2"CL.-.cf- 110.6

110.4

T. ::= 16.2° C

4/J ::= 54.8 %

L_--l.-...-L......L..L.LLul__----L.----L.,.........I~!.L...!......1 I..L,!~I_~--,-~ ......I ..1.-1 -l-JI1..........1.1 1 10 100

Frequency, kHz

117

m'"0

CD>CD

'"0Co.c

CD>o-uoI

'"0L.

~....

APPENDIX 0


"" max dB

T.. = 16.4°C

~ =53.6"

118

.1I I I " I I I I I II I I

10

Frequency, kHz

" " I100

o~

CD...'-

m"'0..

CD>CD

"'0t:o

.Q

CD>oooI

"'CL..-.c

to-

APPENDIX D


110 dB

1

Til a::: 16.4°C

.p =52.2%

.1I I I " I

1I I I I " .I

10

Freqliency, kHz

I I " "100

---~----

119

m"'0

CD>CD

"tJCC.c

CD>C-(JoI

"tJL..-.s:::.~

120

APPENDIX D


APPENDIX D

T. = 16.5°C

; = 49.1 %

,_L-..l-l...L1 ..1.1..1.1l.J1Iii~1 _______.1..l..-L1

1 ~--L-.L--L..LL.L.LL__ u_ I ""IFrequency, kHz 10 I I I I~Jo

121

APPENDIX D


~~~~~~~ ? max dB

<:I 0-0.-. cI o...~D..a... 0 30.0° 106.4

ctf' c/~ ~'"~if / 0...0- O-.~ 0 37.5° 108.2

rj5~~ ~C>-~~ 45.0° 109.2crY~ o-o-<>-o-o-<ro-~ ~ 52.5° 107.8

c/O-~~~"'-~ 60.0° 107.8,-..

~if~c

67.5° 107.2%. ~ p-o-o--O-O-O-O-o-o-o- D...a 75.0 0 107.70 ~/Yo-o-o-"-~~ 82.5°C'l 10B.2

CDif / Y:::~~~o 9D.D

o 10B.1~'"-J'

~/ ~ ~97.5O 109.2m"'C~ fl aff ~O-O-O-O-O-O-o-~..

~",c:f d'~o-o-o-o-o-o-o-o-~ D....e..o... 0 105.0° 109.3CD> ~o"'Or~ 0-0-0-0-0-0..' 0-.0... 0-.0 112.5° 110.2CD

"C /~~~~12D.D' 111.5cc

~/ rI(fcIcrO ~"'o.. ~ 0 127.5' 113.6.cCD ?" cf... cr-CY o....~ 0..> /'/?~~ ~135.DO 118.1c-(J

?-,,:/clc/cr ~ 0 142.50 124.50

I"C /0' d'~d'O-O-O-~ C>...o-~L.- ?"I:,cf'cf' O-o...a...o...a... ~o 150.0°.c 125.3l-

e?' ;:t'/ ~'-.,c?:~ 157.5° 123.6

?

Ta = 16.6°C

q, = 48.B r.

122

.1I I " "

1I I I " " I

10

Frequency, kHz

I I " "100

m"0..

CD

~

"'CCtJ.a

CD>tJ(J

oI

"E-.c...

APPENDIX D


T. =16.7°C

9 = 48.5"

.1I I I II I

1I I I " "I

10

Frequency, kHz

I I " .I100

123

m"tJ

CD

~-"'0CC.c

CD>o(J

oI

"E-.c....

APPENDIX D


'"max dB

30.0° 119.4

37.5° 120.545.0° 122.252.5° 119.8

60.0° 120.6

67.5° 120.775.0° 120.7

82.5° 122.2

121.6122.4

123.1122.0

122.0

122.8

o 135.0° 122.6

~ 142.5° 128.7

~~o 150.0° 130.3

o-o-~

~ 157.5° 129.1

To:: 16.7°C

; :: 47.7 '?

124

.1I I " I I

1I I I " II I

10

Frequency, kHz

I I I " I100

APPENDIX D


1 max dB

30.0° 119.9

37.5° 120.545.0° 122.452.5° 120.3

60.0° 120.8,.....67.5° 121.4c

'a 75.0° 121.0

0 82.5° 122.7C'I

Q) 90.0° 122.9~ 97.5° 122.9......,.m"'0.. 122.6Q)

> 122.2Q)-

"'0 122.8cc 123.5.aQ)

> 135.0° 123.3c-00I 129.2"'0

.!::

.cI-

130.5

.1I I ,,"

1I I I I ".I

10I I I " I

100

Frequency, kHz

125

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

APPENDIX D


m"'0..~-"'CCa..c

~(J

oJ

"E-.c...

I10 dBI

T. =12.4°C

~ = 30.3~

89.093.293.294.4

95.797.4

97.596.896.6

96.197.0

96.2

95.3

126

.1I I " "

1I I I I " "

10

Frequency. kHz

I I " "100

m"'0.."ii~"'0CtJ

..cCD

.ECJoI

"'0...-~

APPENDIX 0


T. I:: 12.3°C

; I:: 30.o"

.1, " "I

1, I I "" I

10

Frequency, kHz

, , " "100

127

128

APPENDIX D

99.4

157.5° 102.6

T. = 12.3°C

I ~ =29.7"

.1 --'-----'-'--'-,l...LJ.!"+"~~~--'-...L....L..L..LJ...L1 '" I , " "

Frequency, kHz 10 I I I I I~~O

m"0

...

~-"0CC.a

CD>.EuoI

"E-..c...

APPENDIX 0

Mach 2.0 contoured nozzle with

110 dB1

I I I " "II.1

T. =12.3°C

; = 29.6"

I I ,,"

1

Frequency, kHz

10I I " ,I

100

129

APPENDIX D

Mach 2.0 contoured nozzle with fab, p = 0.70

I10 dB Y max dBI

30.0· 96.5

37.5- 99.745.0· 103.0

52.5° 101.4

60.0· 102.4

67.5° 102.575.0· 101.6

~ 82.5· 101.5a

90.0· 100.8%.97.5° 100.0

0N

E o-~~ 105.0· 99.1....,en o-~112.S. 100.0"C 0--0-0-0-0- 120.0· 100.4..

~o 127.5°CD> 100.9.!

~13S.0~"C 102.1cc.a

CD 142.SD 104.7>a

~ 150.0·-u0 106.4I

"CI.-

157.5· 106.4-~

T. I: 12.3D C

4/! I: 29.8 %

.1I I " .I

1I I I "" I

10I I " tI

100

rrequency, kHz

130

APPENDIX D


" max dB

30.0° 100.0

37.5° 102.745.0· 104.752.5° 103.5

60.0° 102.9

67.5· 103.0

75.0· 102.4

""""c 82.5· 102.8

~ 101.8

0 101.3C'lCD.. 100.8'-'II] 101.0"0.. 101.7Gi>CD 102.2-

"t:JCc 103.6.c

CD> 105.9c-CJ0I 108.4

"CL-..c:t- O 157.5° 108.4

T. =12.3°C

f/I = 29.9 ~

.1, , " d

1" ""d10

, I " rI100

Frequency, kHz

131

APPENDIX D


157.5° 110.4

105.1

103.6103.5

104.4

104.7

106.5

max dB

107.9

~ 150.0° 110.7

Frequency, kHz

T. =12.2°C

~ = 29.9 ~

'

1 _--L----L.-l.-.L'.LIl.J1'L.L'f-I_-L--L-L..L.l..~ik--...L--L......L...J....LL.uJ• l' ,"".110 ' I '" I100

110 dB1

OJ"0

CD

~

"0t:tI

.Q

CD>.2ooI:g

.t:to-

132

APPENDIX D


'it max dB

30.0· 109.7

37.50 112.045.00 113.2

52.5° 110.5

60.00 110.7

~ 67.5° 110.3c~

75.0° 109.2

0 82.5° 109.3C'l

f90.0° 108.3

'-' 107.1

m"'C.. 105.8

CD 106.0~- 106.1

"'Ccc 105.9.a

CD> 107.4-c-u0I 109.9"'C...

:E...112.4-

112.9

T. =12.1°C

-f, = 29.8 %

.1I I " .I

1I I I " "I

10I I " "

100

Frequency, kHz

133

m"'0

CD

~-"'0Ca.c

CD

~uoI:g~

134

APPENDIX D

Mach 2.0 contoured nozzle with tcb, fJ - 1.1 0

? max dB

110.9

113.2

157.511 113.4

T. = 12.1 11 C

; = 29.1 r._

-...L.'..1.1 ...1..1.w''f'_--L--l-.L...L L1 " ,

F

I II-'Vi010-_...1.-.-L-.L.L..1...L' II " I

requency, kHz I I I ~OD

APPENDIX D


T. =12.1°C

4{! = 28.2~

.1I " I! I

1I I I "I! I

10

Frequency, kHz

I I " .I100

135

APPENDIX D


" max dB

30.0° 114.5

37.5° 115.0

45.0° 115.5

52.5° 114.2

60.0° 114.4,-...

67.5° 114.6tJ

'!t 75.0° 114.70 114.3N

f 113.9'-' 113.3m"C.. 112.8GJ> 112.8CD

-0 113.7cc

113.9.aGJ>c 117.1-u0I

~ 142.5° 120.9-0L.

~ 150.0°-.c... 121.9

~ 157.5° 120.9

Ta I: 12.3° C

9 I: 27.4"

.1 I I " "1

I I I " "I10 " "I100

Frequencyt kHz

136

APPENDIX D


.; max dB

30.0· 110.7

37.5° 112.245.0· 112.7

52.5° 111.7

60.0° 112.2

67.5· 112.8,..... 75.0· 112.7a~ 82.5° 112.50 90.0· 112.6C'l

97.5· 113.1e-at 112.8"'C.. 113.0

CD120.0· 113.9>

CD

"'C 127.5· 116.2ca.a

CD 135.0· 121.6>a- 142.5· 124.7u0I

"'C 150.0· 125.6L.:c....157.5· 124....

T. I; 12.4·C

tit I; 26.1 "

I I " .I1

I I I I " "

10I I " .I

100

Frequency, kHz

137

APPENDIX D


157.5° 127.4

y max dB

30.0· 119.2

37.5° 120.245.0° 120.5

52.5° 118.7

60.0· 119.4

67.50 119.3,.....75.0· 119.4c

~ 82.50 120.50 90.0· 120.6C'l

121.1E-m121.3-a.. 120.3'ii

> 120.9CD-'t:J

127.50 120.7cc.a

CD 135.00 124.1>c 0-.0..-u o-o..a 142.50 129.70I

't:J.=.c

150.0° 129.1....

Ta =12.7°C

9 = 25.9"

.1I I II "

1, I I "" I

10,",1

100

Frequency, kHz

138

APPENDIX E

POWER SPECTRA WITH 40 HZ BANDWIDTH FOR DIFFERENT VALUES OF <\J

Nozzle configuration Pages





139

APPENDIX E

Mach 1.0 contoured nozzle without tab, p = 0.401

10 dB1

'fj1 max dB

30" 91.1

1050 87.9

- .c.So 97.1c'S-0C'I4D~

'-

m 60" 84..2"C.."CCC.a

750 87.5N:t:0~

.E

...J 90" 88.5a..en

1200 83.8

o, I

5 10 15 20 25

Frequency. kHz

I I I

30, I

35

140

APPENDIX E


;, max dB

30° 107.4

45° 108.6

--..c'S.0C'l

CD 60° 93.1'--m-a..-ac 75° 92.9c.aN:I:0~

.E90° 94.2

..Jn.(/1

105° 94.9

" , , I ,10

I , I , , , , I " ,I ,15 20 25

Frequency. kHz

, I ,30

, I35

141

APPENDIX E


y max dB

30° 105.1

45° 111.7'"0~0('{

G)L-

60° 99.9"'-m"'C..-ac0 75° 105.3.cN:J:0~

.E90· 107.9...J

0..en

105- 98.7

120- 93.7

142

oI I

5I I I I I I I I I I I I I I I I

10 15 20 25

frequency. kHz

I I I

30I I35

APPENDIX E


.; max dB

30· 111.9

90· 110.0

105· 104.6

30 35

120· 99.7I I I I I I

15 20 25

Frequency. kHz

I I I I I I I I I I I I I

10I I I

5o

.-...0

'5.0 .f.5. 114.8C'lCD~.......m't'-"'0C0 60· 109.5.aN

::I:

0~

.= 75· 106.4

...Jn.en

143

APPENDIX E


" max dB

30° 118.4

-0~c 45° 117.6N

CD~---m

"0.. 60a 103.4"CC0.aN

:J:C 7Sa 106.1~

c-...JD..en

90a 116.4

105° 107.4

144

o 5, I ,

10I I I , , I I I " I I ,

15 20 2S

frequency t kHz

,I 'I' I30 35

APPENDIX E


"" max dB

30· 117.3

,......c'3- 45· 115.8

0C\ICD..........m 60· 106.3"0.."1::JCC.cN 75° 106.1

:J:

0~

.E

...JD..

90·en 116.5

105· 104.8

120· 101.3

o, I

5, I, "I", I I " ,I ,

10 15 20 25

Frequency, kHz

I I ,30

, I35

145

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

APPENDIX E


11 max dB

30· 114.8

,..... 45· 112.2c

~0~

CD...60· 104.2...-

m"C.."CCc 75· 104.4.Q

N:t:0"¢

c 90· 104.2--Ia.en

105· 100.0

120· 98.1

146

o 5 10 15 20 25

Frequency, kHz

I I I

30I I

35

APPENDIX E


120- 99.7

" max dB

30" 107.0

.es- 108.1,-..c'5.0C'I

f 60- 105.0......III"0..-a 75-t: 104.6c.aN:r:0~ 90- 104.1c--J0-en

105- 101.8

oI I

5I I, " I I I I I I " ,I I

10 15 20 25

Frequency. kHz

, I ,30

, I35

147

APPENDIX E


1 max dB

30· 108.5

........c~ 60· 103.7

0N

CD..........- 75· 103.9m"tS.."t:Jt:C.a 90· 103.7N:t:0~

s:; 105· 101.9-..Ja..(f1

120· 99.7

oI I


10 15 20 25

Frequency. kHz

I I I

30I I

35

148

APPENDIX E


;, max dB

30° 109.1

450 106.7-0~0C'l 60° 103.5f

"'-'m"0

..."t:J 75° 104.6c0.cN:I:

0 90° 103.7~

.E

...Ja..VJ 105° 101.7

1200 101.9

o 5I I, 'I I I , , , I 'I ,I I

10 15 20 25

Frequency, kHz

, I I

30, I

35

149

APPENDIX E


1 max dB

30° 107.3

45° 108.5~

0

'!t0C'l 60° 104.6CD...'-

m"C.. 75° 105.1"'0c0.aN

:I:0 90° 105.0~

.E

....J0-

1050 104.1en

1200 105.6

o 5I I I

10I I I I I I I I I I

15 20

Frequency, kHz

I I I

25I I I

30I I

35

150

APPENDIX E


1 max dB

300 107.6

45° 109.9

'"'c'5.0C'I 60° 105.5f

""-'m'0.. 75° 105.8"Ccc.aN:z:0 90° 105.6'''It

c-...Ja... 1050 105.1en

120· 107.0

o, I

5, I, I' I , , , , I I I I I ,

10 15 20 25

Frequency, kHz

, J I

30, I

35

151

APPENDIX E

Mach 1.0 contoured nozzle without ta b, {3 = 2. 15

"/J max dB

30a 107.7

120· 107.6

45° 109.3,.....a~0~

f60a 106.3

.......m'tJ.. 75a 106.0"'0t:a.cN

:I:0 90a 106.4~

oS--In.en 105· 105.8

oI I


10 15 20 25

Frequency, kHz

I I I

30I I

35

152

APPENDIX E

Mach 1.0 contoured nozzle with tab, p = 0.40I

10 dBI

'f/1 max dB

30° 81.2

45° 82.4

~

60° 81.8a

~0N

f 75° 84.1'-'"m"C..'t2c::tJ

90° 83.4,g

N:z:0""t

c 105° 83.4-..JQ.en

120· 84.9

o 5I I I I I I I I I I I I I I I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

153

APPENDIX E


10 dBI

y max dB

30° 90.7

4,5G 90.5

,......c'a.0 60G 88.1N

f-m-a.. 750 87.0"Ccc.aN:I:0 gOG 85.7-'It

c--J0..CI1

1050 86.0

1200 86.9

o, I

5, I, I I I , , , , I " ,I ,

10 15 20 25

Frequency, kHz

, I ,30

, I35

154

APPENDIX E

1.0 contoured nozzle with tab, p = 0.70

-; max dB

30· 93.8

450 95.0

600 91.3,.....a

~0~ 750 90.1

f.....,m-a..-a 900 87.5ca.aN:I:0-.t 1050 87.4c-

...JD.en

120· 89.0

oI I

5I I J I I I I I I I I I J I I I

10 15 20 25

Frequency, kHz

J I I

30I I

35

155

APPENDIX E


y max dB

30· 99.5

45 11 100.0

,....60· 94.0tJ

~0('oJ

f 7511 93.3'-m"a.."'CCtJ 90· 90.8.aN

::J:

~C 10511 88.9-

..Ja..en

120· 90.0

oI I


10 15 20 25

Frequency, kHz

I I I

30I I

35

156

APPENDIX E


10 dBI

" max dB

30° 102.0

.c.s0 101.5~

c~0C'I 60° 97.4~'-'en"'g.."C 75° 96.6cc,g

N::I:

0'''It 90° 94.7c-~Q.en

105° 91.5

120° 92.1

oI I


10 15 20 25

Frequency, kHz

I I I

30I I

35

157

APPENDIX E


;, max dB

30° 101.2

158

o 5 10 15 20 25

Frequency, kHz

I I I

30I I

35

APPENDIX E


l' max dB

30· 101.5

45° 102.2,.....0

'a.0~ 60· 99.2f......m"a..

75° 98.7-aI::0.aN::I:

0 90° 97.4~

c--I0..en

105° 95.0

oI I

5I I I I I I I I I I I I I ,I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

159

APPENDIX E


1 max dB

30° 101.9

.c.s0 102.2,....c'3.0

60°C'j 99.8CD...

'-"m"0.. 75° 99.3"CcC.cN:I:

C 90° 98....~

c---1Q..VI 105- 98.5

120° 97.1

35, I

30, I ,

10 15 20 25

Frequency. kHz

, I, "I"" I " ,I ,5

, Io

160

APPENDIX E


y max dB

30· 102.1

45° 102.1

"......a~ 60· 100.00C'l

f.......m 7S· 99.9"C.."CI:a.cN 10· 18.7

:I:

~I:- 105· 97.9

...Ja..en

120· 99.1

o, I

5I I I I I I I I I I I " ,I I

10 15 20 25

Frequency, kHz

, I I

30, I

35

161

--------- -

APPENDIX E


1/1 max dB

30 0 99.5

450 101.4

--..0

%.0 600 100.2C'lQ)...

"'-

m"tJ 750 101.1.."0c:0,g

N:I: 900 100.20~

.E-l

1050 100.2a.en

1200 101.8

oI I' I

5I I I

10 15 20

Frequency t kHz

I I I

25I I I

30I I

35

162

APPENDIX E


"" max dB

30° 102.6

45G 103.9-0~0

60 G 102.5C'lCD10...-m"0

7SG 103.5.."0C0.cN:I: 900 102.70~

.E

..J0- 105 0 102.5en

1200 104.7

o 5I I, I I I I I I I I I II I I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

163

APPENDIX E

Mach 1.0 contoured nozzle with tab, fJ = 2.1 0

~ max dB

30 0 103.3

4.50 104..6,-..c

~0

600 103.6NCD...

---m"'tI 750 103.7.."'CCC

.£J

N:I: 900 103.60~

.E-Ja.. 1050 103.5en

1200 105.7

o 5I I I


15 20

Frequency, kHz

I I I

25I I ,

30I I

35

164

APPENDIX E


;, max dB

30· 103.5

45· 105.1,.....c~0C"I 60· 103.8

CD...........m'tJ.. 75· 105.0'tJt:C.cN

:I:0

90· 103.9"¢

.=-1D..VI 105· 104.1

120· 105.8

o 5I I I "I, I , I I " ,I I

10 15 20 25

Frequency, kHz

I I I

30, I

35

165

APPENDIX E


.." max dB

30D 79.3

1200 86.7

4SD 83.7---.c

~0

60DN 83.7CD~......m"'C.. 7SD 85.3"C£:C.cN:I:

0 gOD 85.4-~

.E

..Ja.en 1050 86.1


10 15 20 25

Frequency, kHz

I I I

30I I

35

166

APPENDIX E


'f/J max dB

30° 90.3

45° 91.<4-,....,c~0N 60· 89.2CD.........m"'C.. 75° 87.5"'Ccc.cN

::J:

0 90° 86.1~

.E-10..VJ

105· 86.0

120° 87.7


10 15 20 25

Frequencyt kHz

I I I

30I I

35

167

APPENDIX E

Mach 1.5 contoured nozzle without tab, f3 = 0.80I

10 dBI

1 max dB

30° 100.5

45° 101.4.......c'S.0N

CD 60° 98.3.....-m"a.."t:It: 75° 97.3c.aN:I:0.q-

90° 95.5t:--Ja..VJ

1050 91.0

1200 91.3

o 5 10 15 20 25

Frequency t kHz

I I I

30I I

35

168

APPENDIX E

'" max dB

30· 111.2

1050 97.3

Mach 1.5 contoured nozzle without tab, fJ = 0.94I

10 dBI

-a~0 45· 112.0N

f.......m"C.. 60· 100.4"'CCa.cN:I:

075· 100.3

.q-

.E

...JQ.(IJ

90· 103.2

120· 97.4

o 5I I I " I I I I I I " I I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

169

APPENDIX E


"/I max dB

30° 99.7

ASO 98.2

~c'5. 60° 91.5

0N

CDL.- 75° 92.3m"C.."CJ:C.cN 90° 90.8

:J:

~c

105°- 91.1...Ja.en

1200 92.5

o 5 10 15 20 25

Frequency, kHz

I I I

30I I

35

170

APPENDIX E

'" max dB

30- 92.9

Mach 1.5 contoured nozzle without tab, f1 = 1.1 0I

10 dBI

45- 93.3,.....a~cC'I 60- 91.6

CD........".

m"0.. 75- 93.9"Ccc.cN::t:C 90- 92.2"lilt

c-...Ja..en 105- 93.4

o 5 10 15 20 25

Frequency, kHz

I I ,30

, I35

171

APPENDIX E


11 max dB

300 117.3

120· 100.5

45- 114.2,.....a

-a.0N 600 105.5f-...m"'C.. 75· 105.7"'CCa.aN

:I:0 90· 105.8"lit

c-...10..en

105· 102.3

o 5I I I I I I I I I I I 1« I I I

10 15 20 25

Frequency. kHz

I I I

30I I

35

172

APPENDIX E


" max dB

30° 120.2

45° 117.9,....c'3.0C'I

CD 60 Cl 109.2...---m"C.."C 75 Cl 109.3cc.cN

::I:0 90 Cl 109.4"'It

.E

...Ja.en

105Cl 106.6

120· 105.7

o 5 10 15 20 25

Frequency, kHz

, I I

30I I

35

173

APPENDIX E


If/! max dB

30° 113.6

,-...0 45° 111.4~0C'I

CD~

60° 109.4"'-'m"'0..'aC0 75° 109.6.cN:I:0~

.E 90· 109.9

--Ja..en

1050 107.9

120 0 105.2

174

o 5I I I I I I I I I I I I I ,I I

10 15 20 25

Frequency, kHz

I I I

30, I

35

APPENDIX E


.." max dB

30° 111.0

"" 45° 109.3c~0N

f 60° 108.0.........m"'C..'C 75° 107.6cc.aN

::I:

0900 108.5"lit

.E

..Ja.VI 105° 107.3

120· 108.0

o 5I I, " I , I , I I I I I I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

175

APPENDIX E


V max dB

30° 110.4

.c.s0 109.8

"'"c-s.0C'l

l GO· 107.3f.....m"C.. 75· 107.0't:Jcc.aN::t:

00· 10iJ.S0-.;t

c-..Ja. 1050 107.2en

1200 109.4

176

oI I

5 10 15 20 25

Frequency, kHz

I I I

30I I

35

APPENDIX E


'¥J max dB

30° 109.9

-.. 45° 110.4c~0C'l

CD I 60° 107.4Lo......m

"..-a 75° 107.4cc.cN::c0 90° 108.5~

c-..JQ.en 105° 107.7

120· 109.4

oI I

5I I I I I I I I I I I I I I I I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

177

APPENDIX E


10 dBI

"" max dB

30° 85.9

4SO 87.9

........a\ 60° 87.20C'lQJ..........

to 75° 88.4-"C.."'CCa..aN 90° 88.6:x:

0~

c-....J 105· 88.6a..en

I Io 5

, I, I I I , , , I I I I I I I

10 15 20 25

Frequency. kHz

I I I

30I I

35

178

APPENDIX E


't/I max dB

30· 86.7

45· 89.8

....... 60· 88.0a'3.0~

f75· 89.5

......m"0..-ac 90· 88.9a.cNX0~ 105· 89.5c--Ja..en

120· 90.9

o, I

5, I I " I I , , I I " ,I ,

10 15 20 25

Frequency, kHz

I I ,30

, I35

·179

APPENDIX E


? max dB

30 11 90.4

450 93.5

,....c 600 90.2'3.0~

f 75 11 91.1....,m'tJ.."CCC

eO 900 89.4N:I:0~

c 1050 90.6--In.(f1

1200 91.2


10 15 20 25

Frequency, kHz

I I I

30I I

35

180

APPENDIX E


"" max dB

30° 95.5

45° 97.7

~

c

~0 60° 94.4N

CDL....-

f]]"0 75° 93.3.."CCC.cN

::I:

0 90° 91.1~

.E

...Ja.en 1050 90.3

1200 92.9

o 5, I I

10 15 20

Frequency, kHz

I I I

25I I I

30I I

35

181

APPENDIX E


"" max dB

30 0 99.7

450 101.5

,-.. 600 98.4c

~0N

CD 750 97.810........m"0.."Cr::: 90· 95.2c.cN:I:0..q

.E105· 94.5

-Ja.en

120· 95.4

o 5I I I


15 20

Frequency, kHz

I I I

25I I I

30I I

35

182

APPENDIX E


.; max dB

30° 110.8

45° 111.0

~c~0 60° 102.1~

CD...-m"a.. 75° 101.5"Ccc.aN:t:0 90· 100.4~

.5

...J0-(fl

105° 96.7

120· 95.8

o 5I I I I , I I I I I I I I I I I

10 15 20 25

Frequency. kHz

I I ,30

I I35

183

APPENDIX E


~ max dB

30° 124.9

,.......c

~0('II

CD 45° 126.5a..-m"0.."'Cc:c 60° 107.7.aN

:I:

0~

.E75° 107.3

...Jn.en

90° 118.7

105° 108.3

120° 105.9

184

o 5I I I


15 20

F"requency. kHz

I I I

25I I I I I I

30 35

APPENDIX E

Mach 2.0 contoured nozzle without tab, f3 1.50

"" max dB

30· 110.2

120· 100.3

45· 110.7

-c'S.

60· 104.40N

cu..."'-'OJ"'C 75· 104.0.."'CCC

..cN 90· 103.7:I:

0..q.

c--l 105· 102.1a.en

a 5I I I

10I I I I I , I I I I

15 20

Frequency, kHz

I I I

25, I I

30I I

35

185

APPENDIX E


'f/I max dB

300 98.8

1200 103.7

186

o 5I I I

10 15 20

Frequency, kHz

I I I

25I I I

30I I

35

APPENDIX E

y max dB

30 11I 114.6

Mach 2.0 contoured nozzle without tab, p = 2.00I

10 dBI

,.....4511I 113.7a

~0N

f....., 60D 112.0m"a.."aCa 75D 111.5.aN:t:0"'It

SlOD 112.3.E...J0..VJ

105D 111.0

120D 108.3

oI I

5I I I I I I I I I I I I I I I

10 15 20 25

Frequency, kHz

I I I

30I I

35

187

APPENDIX E


-; max dB

30" 115.9

""" .csll 115.0c~0C'J

f 6011 113.0.......m"0.."Cc: 7511 113.0C.g

N::I:0~ 9011 114.4C-

..Jn.(IJ

105· 112.9

120· 110.2

188

o 5 10 15 20 25

Frequency, kHz

J I J

30J I

35

APPENDIX E


"" max dB

30a 116.6

,....45a 115.6c

~0N

CD"- 60a 113.6'-'m-a

...-ct:c 75a 113.7.cN:I:0~ SOa 115.2t:--JQ..VJ

1050 113.7

120a 111.1

o 5 10 15 20 25

Frequency. kHz

I I I

30I I

35

189

1. Plumblee, Harry E.;sonic Jet Noise.TR-72-53, Vol~ I,AD 749 428.)

REFERENCES

and Doak, Philip E.: The Generation and Radiation of SuperVolume I - Summary of Supersonic Jet Noise Studies. AFAPLu.S. Air Force, July 1972. (Available from DTIC as

2. Plumblee, Harry E., Jr.: The Generation and Radiation of Supersonic Jet Noise.Volume I - Summary. AFAPL-TR-76-65-Vol. I, U.S. Air Force, Sept. 1976.

3. Benzakein, Meyer J.; and Knott, Paul R.: Supersonic Jet Exhaust Noise.AFAPL-TR-72-52, u.S. Air Force, Aug. 1972. (Available from DTIC asAD 747 774.)

4. Knott, Paul R.: Supersonic Jet Exhaust Noise Investigation.Report. AFAPL-TR-76-68, Vol. I, U.S. Air Force, July 1976.DTIC as AD A038 682.)

Volume I - Summary(Available from

5. Powell, A.: On the Mechanism of Choked Jet Noise. Proc. Phys. Soc. (London),vol. 66, pt. 12, no. 408B, Dec. 1, 1953, pp. 1039-1056.

6. Harper-Bourne, M.; and Fisher, M. J.: The Noise From Shock Waves in SupersonicJets. Noise Mechanisms, AGARD-CP-131, Mar. 1974, pp. 11-1 - 11-13.

7. Seiner, John M.; and Norum, Thomas D.: Experiments on Shock Associated Noise ofSupersonic Jets. AIAA Paper 79-1526, July 1979.

8. Norum, T. D.; and Seiner, J. M.: Location and propagation of Shock AssociatedNoise From Supersonic Jets. AIAA-80-0983, June 1980.

9. Seiner, J.Plumes.

M.; and Norum, T. D.: Aerodynamic Aspects of Shock Containing JetAIAA-80-0965, June 1980.

10. McLaughlin, D. K.; Seiner, J. M.; and Liu, C. H.: On the Noise Generated byLarge Scale Instabilities in Supersonic Jets. AIAA-80-0964, June 1980.

11. Seiner, J. M.; and Yu, J. C.: Acoustic Near Field and Local Flow PropertiesAssociated with Broadband Shock Noise. AIAA-81-1975, Oct. 1981.

12. Pinckney, S. Z.: A Short Static-Pressure Probe Design for Supersonic Flow. NASATN D-7978, 1975.

13. Hopkins, D. F.; and Hill, D. E.: Effect of Small Radius of Curvature on Transonic Flow in Axisymmetric Nozzles. AIAA J., vol. 4, no. 8, Aug. 1966,pp. 1337-1343.

14. Johnson, Charles B.; and Boney, Lillian R.: A Method for Calculating a Real-GasTwo-Dimensional Nozzle Contour Including the Effects of Gamma. NASA TM X-3243,1975.

190

TABLE 1.- JET PARAMETERS AT TEST CONDITIONS

V. T j Pj~ Pt/Pa Mj

J(m/s) (K) (kg/m3 )

0.00 1.893 1.000 313.2 244.2 1.446.20 1.937 1.020 318.4 242.5 1.455.40 2.076 1.077 332.9 237.8 1.484.60 2.321 1.166 354.8 230.3 1.532.70 2.492 1.221 367.6 225.7 1.564.80 2.699 1.281 381.3 220.6 1.600.94 3.062 1.372 401.3 212.8 1.658

1.00 3.247 1.414 410.1 209.3 1.687_1.10 3.601 1.487 424.8 203.2 1.7371.34 4.732 1.672 459.4 187.9 1.8781.50 5.770 1.803 481.5 177.6 1.9881.60 6.565 1.887 494.8 171.1 2.0621.72 7.699 1.990 510.0 163.5 2.1581.85 9.187 2.103 525.6 155.5 2.2702.00 11.314 2.236 542.5 146.5 2.4092.10 13.022 2.326 553.1 140.7 2.5082.15 13.977 2.371 558.2 137.9 2.559

191

\.0N

L-79-7298

Figure 1.- Nozzle and pressure probe drive mechanism in Langley Jet Noise Laboratory.

Pressure port

~1.461

--0--1.524 o.d.------

1+-----------------4 . 890---------!~

1+---------------------- 8.019----------+1

Figure 2.- Static-pressure probe. (All dimensions in rom unless otherwise noted.)

L-78-7914

Figure 3.- Nozzle and microphone array installed in Langley Anechoic Noise Facility.

194

~35'56 cm35.56 cm

Tdt T ---l---l

20.0 cm d 20.0 cm d

~ ~Xt T ~ xt T~XS ~Xs

Contoured nozzle Conical nozzle

Nozzle d, cm dt , cm xs ' cm x t ' cm Sd

Mach 1.0 contoured 3.982 3.982 22.9 0 0

Mach 1.0 conical 3.962 3.962 22.9 0 0

Mach 1.5 contoured C-D 4.267 3.959 26.8 4.327 1.089

Mach 1.5 conical C-D 4.289 3.958 35.5 3.327 1.114

Mach 2.0 contoured C-D 4.989 3.848 33.3 10.648 1. 726

Figure 4.- Internal dimensions of test nozzle.

-A

U)IJl

)()( )(

)(

)( )( )( )( )( XI

O.063d

VfIID<

)v~~~\~O.125d

d

/X( )( )( )( )()( 111 r,.;yj b

,. ~"'f( t.---- Ta supportV' ~.

Figure 5.- Sketch of tab installed in nozzle exit plane.

196

1. Report No.

NASA 'IM-84521I2. Government Accession No. 3. Recipient's Catalog No.

4. Title and Subtitle

MEASUREMENTS OF MEAN STATIC PRESSURE AND FAR-FIELDACOUSTICS OF SHOCK-CONTAINING SUPERSONIC JETS

7. Author(s)

Thomas D. Norum and John M. Seiner

9. Performing Organization Name and Address

NASA Langley Research CenterHampton, VA 23665

12. Sponsoring Agency Name and Address

National Aeronautics and Space AdministrationWashington, DC 20546

15. Supplementary Notes

16. Abstract

5. Report Date

September 19826. Performing Organization Code

505- 32- 0 3- 05

8. Performing Organization Report No.

It-15378

10. Work Unit No.

11. Contract or Grant No.

13. Type of Report and Period Covered

Technical Memorandum

14. Sponsoring Agency Code

The far-field acoustic data base generated in studies of broadband shock noise fromsupersonic jets is presented. Both conical and contoured nozzles of exit Mach nu~

bers 1.0, 1.5, and 2.0 were tested using unheated air at pressure ratios ranging from1.9 to 14. Tests were performed both with and without screech suppression tabs.Results include overall sound pressure variations and representative 1/3-octave andnarrowband spectra. This data report also presents surveys of the mean static pressure measured within these jets.

17. Key Words (Suggested by Author(s))

Supersonic-jet static pressureSupersonic-jet noiseShock noise

18. Distribution Statement

Unclassified - Unlimited

Subject category 71

19. Security Oassif. (of this report)Unclassified

20. Security Classif. (of this page)Unclassified

21. No. of Pages197

22. PriceA09

For sale by the National Technical Information Service, Springfield, Virginia 22161NASA-Langl ey. 1982

National Aeronautics andSpace Administration

. Washington, D.C.20546

Official Business

Penalty for Private Use. $300

THIRO-eLASS BULK RATE Postage and F_ Paid (I)National Aeronautics and ~Spece AdministrationNASA-451

u.s.MAIL

NI\SI\

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of Shock-Containing SupersonicJe s - NASA · 2013-08-31 · A program to investigate the aeroacoustics of shock-containing supersonic jets was undertaken at NASA Langley Research