----------------- FILE NUMBER 839----------------- 1. FLOW TITLE: CASE 8301; THOMAS, G. D.; FAVORABLE PRESSURE GRADIENT AT SUPERSONIC SPEEDS WITH INJECTION. 2. REVISION DATE: NOVEMBER 1, 1981 3. EVALUATOR: SQUIRE, L. C., CAMBRIDGE UNIVERSITY ENGINEERING DEPARTMENT, TRUMPINGTON STREET, CAMBRIDGE CB2 1PZ, ENGLAND. 4. DATE AND LOCATION OF EXPERIMENT: 1969 - 1971, CAMBRIDGE UNIVERSITY ENGINEERING DEPARTMENT. 5. ABSTRACT: THIS SET OF MEASUREMENTS WAS MADE AS PART OF AN EXTENSIVE STUDY OF COMPRESSIBLE TURBULENT BOUNDARY LAYERS WITH INJECTION CARRIED OUT IN THE ENGINEERING DEPARTMENT AT CAMBRIDGE. THE BOUNDARY LAYERS STUDIED DEVELOPED ON A POROUS PLATE PLACED ALONG THE CENTERLINE OF A SUPERSONIC TUNNEL AND FOR THESE MEASUREMENTS THE LINER WAS SHAPED TO PRODUCE A FAVORABLE PRESSURE GRADIENT OVER PART OF THE POROUS PLATE. THE MACH NUMBER ON THE GRADIENT INCREASED ALMOST LINEARLY FROM 2.5 TO 2.8 IN 0.14 METERS (APPROXIMATELY 20 BOUNDARY LAYER THICKNESSES). MEASUREMENTS IN THE ABSENCE OF INJECTION SHOWED THAT THREE-DIMENSIONAL EFFECTS WERE SMALL. BOUNDARY LAYER VELOCITY AND TEMPERATURE PROFILES WERE MEASURED AT 0.127 METER STEPS ALONG THE FLOW USING A FLATTENED TUBE AND A CONICAL EQUILIBRIUM TEMPERATURE PROBE. THE TEMPERATURE PROFILES WERE FOUND TO BE IN VERY CLOSE AGREEMENT WITH TEMPERATURE PROFILES GIVEN BY THE CROCCO RELATION USING THE MEASURED VELOCITY PROFILES. HOWEVER, SINCE THIS TUNNEL HAS NO CONTROL OF TEMPERATURE THE STAG- NATION AND WALL TEMPERATURE VARIED SLIGHTLY FROM RUN TO RUN. MEAN VALUES OF THESE TEMPERATURES ARE QUOTED IN SECTION 8 BELOW AND IT IS SUGGESTED THAT THE DATA ARE TREATED AS A SINGLE DEVELOPMENT WITH CONSTANT STAGNATION AND WALL TEMPERATURES EQUAL TO THE MEAN VALUES. THIS ASSUMPTION DOES NOT INTRODUCE A SIGNIFICANT ERROR IN THE VEL- OCITY PROFILES. IT SHOULD ALSO BE NOTED THAT A NUMBER OF WEAK WAVES WERE PRESENT IN THE FLOW AND THAT THESE WAVES ARE RESPONSIBLE FOR THE SLIGHT SCATTER IN THE PROFILES. 6. REFERENCES: THOMAS, G. D., 'COMPRESSIBLE TURBULENT BOUNDARY LAYERS WITH COMBINED AIR INJECTION AND PRESSURE GRADIENT'; BRITISH AERONAUTICAL RESEARCH COUNCIL R. & M. NO. 3779,1974 7. INSTRUMENTATION: THE MEASUREMENTS WERE MADE IN AN INTERMITTENT SUPERSONIC WIND TUNNEL WITH A RUN TIME OF 60 SECONDS. VELOCITY PROFILES WERE DEDUCED FROM THE READINGS OF FLATTENED PITOT TUBES (OVERAL HEIGHT 0.15 MM) AND CONICAL EQUILIBRIUM TEMPERATURE PROBES (10 DEGREE INCLUDED ANGLE, 1.65 MM DIAMETER). THE STATIC PRESSURE AND FREE-STREAM MACH NUMBER WERE OBTAINED FROM PITOT TUBE READINGS IN THE FREE STREAM AND THE TUNNEL STAGNATION TEMPERATURE. 8. EXPERIMENTAL PARAMETERS: THE TEST SECTION WAS 0.114 METERS WIDE, 0.08 METERS HIGH AND 0.5 METERS LONG. THE FREE-STREAM MACH NUMBER VARIED FROM 2.53 TO 2.87 AT A CONSTANT STAGNATION PRESSURE OF 5.15 *1.05 +,-0.05 N/M2. THE TUNNEL STAGNATION TEMPERATURE WAS CONSTANT AT 292+,-3 DEGREES K AND THE WALL TEMPERATURE WAS 289 +,-3 DEGREES K. 9. MEASURED AND INFERRED VARIABLES: X STREAMWISE COORDINATE, M. M MACH NUMBER. F INJECTION FLOW RATE. THETA MOMENTUM THICKNESS, MM. DELS DISPLACEMENT THICKNESS, MM. Y COORDINATE NORMAL TO SURFACE, M. U/UE NON-DIMENSIONAL STREAMWISE VELOCITY. NOTE: X = 0 CORRESPONDS TO A POSITION 0.145 M DOWNSTREAM OF THE START OF THE POROUS PLATE. 10. MEASUREMENT UNCERTAINTIES: X -/+ 0.001 M +/- 0.015 F +/- 6% THETA +/- 0.15E-4 DELS +/- 0.15E-4 U/UE +/- 0.015 11. TAPE ORGANIZATION: THE TAPE IS A 2400 FOOT, 9 TRACK, ODD PARITY, PHASE ENCODED, UNLABELLED TAPE WRITTEN AT A DENSITY OF 1600 BITS PER INCH ACCORDING TO EBCDIC CODE. THE RECORD FORMAT IS FIXED AND BLOCKED; RECORD LENGTH=80 BYTES; 100 RECORDS PER BLOCK; BLOCKSIZE = 8000 BYTES. NORMALIZED DATA ARE CREATED FROM MEASURED DATA AS FOLLOWS: XNORM = (X - XMINS)/(XMAX - XMIN) ALL NULL DATA ARE WRITTEN AS 2.0. THE EQUATION DESCRIBING THE RELATION BETWEEN ACTUAL DATA AND THE NORMALIZED DATA ON THE TAPE IS: X = XMIN + ((XMAX - XMIN) * XNORM) WHERE X, XMAX, XMIN AND XNORM ARE REAL. FILE# NREC CONTENTS FORMAT COMMENTS 1 - TEXT FILE - CONTAINS ITEMS 1 TO 11 OF THIS WRITE UP 2 14 X,M,F,THETA, 5E13.6 RECORD 1. MAXIMUM DELS VALUES X,M,F,THETA, 5E13.6 RECORD 2. MINIMUM DELS VALUES X,M,F,THETA, 5E13.6 RECORD 3 - 14. DELS NORMALIZED VALUES 3 88 Y,U/UE(X=0.0) 6E13.6 RECORD 1. MAXIMUM U/UE(X=0.0127) VALUES U/UE(X=0.0254) U/UE(X=0.0381) U/UE(X=0.0508) U/UE(X=0.0635) 6E13.6 RECORD 2. MAXIMUM U/UE(X=0.0762) VALUES U/UE(X=0.0889) U/UE(X=0.1016) U/UE(X=0.1143) U/UE(X=0.1270) Y,U/UE(X=0.0) 6E13.6 RECORD 3. MINIMUM U/UE(X=0.0127) VALUES U/UE(X=0.0254) U/UE(X=0.0381) U/UE(X=0.0508) U/UE(X=0.0635) 6E13.6 RECORD 4. MINIMUM U/UE(X=0.0762) VALUES U/UE(X=0.0889) U/UE(X=0.1016) U/UE(X=0.1143) U/UE(X=0.1270) Y,U/UE(X=0.0) 6E13.6 ODD RECORDS. U/UE(X=0.0127) NORMALIZED VALUES U/UE(X=0.0254) U/UE(X=0.0381) U/UE(X=0.0508) U/UE(X=0.0635) 6E13.6 EVEN RECORDS. U/UE(X=0.0762) NORMALIZED VALUES U/UE(X=0.0889) U/UE(X=0.1016) U/UE(X=0.1143) U/UE(X=0.1270) A SAMPLE PROGRAM FOR READING FILE 3 AND PRINTING IT IS SHOWN BELOW. THE JCL IS FOR THE STANFORD CIT FACILITY. CHECK WITH YOUR OWN COMPUTER FACILITY FOR THE EXACT JCL NEEDED. //TAPE JOB BZC$NJ /*SETUP TAPE=1,INPUT=(LIBRARY NUMBER ASSIGNED TO TAPE) // EXEC FORTCG //FORT.SYSIN DD * C TO READ FILE 3 OFF THE TAPE AND C PRINT THE MAXIMAS AND MINIMAS ON ALL THE VARIABLES AND C PRINT THE NORMALIZED VALUES OF ALL THE VARIABLES. REAL Y(90),U/UE(90,11),UMX(11),UMN(11) READ (23,30) YMX,(UMX(J),J=1,11) READ (23,30) YMN,(UMN(J),J=1,11) C SET N = THE NUMBER OF RECORDS IN THE FILE MINUS 2 N = 88 - 2 DO 10 I = 1,N 10 READ (23,40) Y(I),U/UE(I) WRITE (6,50) YMX,(UMX(J),J=1,11) WRITE (6,50) YMN,(UMN(J),J=1,11) DO 20 I = 1,N 20 WRITE (6,60) Y(I),U/UE(I) 30 FORMAT(6E13.6) 40 FORMAT(6E13.6) 50 FORMAT(2X,6E13.6) 60 FORMAT(2X,6E13.6) STOP END //GO.FT23F001 DD UNIT=T1600,VOL=SER=(TAPE LIBRARY NUMBER), // DISP=(OLD,KEEP),DCB=(RECFM=FB,LREC=80,BLKSIZE=8000,DEN=3), // LABEL=(3,NL) // -------------- END OF FILE NUMBER 839------------- ----------------- FILE NUMBER 840----------------- 0.139700E 00 0.287000E 01 0.281000E-02 0.976000E 00 0.491000E 01 0.000000E 00 0.253000E 01 0.199000E-02 0.655000E 00 0.305000E 01 0.000000E 00 0.000000E 00 0.000000E 00 0.000000E 00 0.000000E 00 0.909091E-01 0.294096E-01 0.000000E 00 0.105919E 00 0.774189E-01 0.181818E 00 0.588220E-01 0.000000E 00 0.258567E 00 0.191934E 00 0.272727E 00 0.147054E 00 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