----------------- FILE NUMBER 846----------------- 1. FLOW TITLE: CASE 8402; LEWIS, J. E., GRAN, R. L., AND KUBOTA, T.; BOUNDARY LAYER IN ADVERSE PRESSURE GRADIENT. 2. REVISION DATE: OCTOBER 30, 1981. 3. EVALUATOR: RUBESIN, M. W., AND HORSTMAN, C. C., NASA AMES RESEARCH CENTER, MOFFETT FIELD, CA. 94035. 4. DATE AND LOCATION: 1970, ARNOLD AIR FORCE STATION, TN. 5. ABSTRACT: A WIND TUNNEL MODEL WAS DEVELOPED TO STUDY AN AXISYMMETRIC TURBULENT BOUNDARY LAYER IN ADVERSE AND FAVORABLE PRESSURE GRADIENTS WITHOUT THE EFFECTS OF STREAMWISE CURVATURE. EXPERIMENTS WERE PERFORMED AT MACH 4 WITH AN ADIABATIC WALL. MEAN-FLOW MEASUREMENTS WITHIN THE BOUNDARY LAYER WERE OBTAINED. THE STUDY WAS CONDUCTED IN THE 40X40 INCH, (1.016X1.016 M). SUPERSONIC WIND TUNNEL A OF THE VON KARMAN GAS DYNAMICS FACILITY AT AN UNDISTURBED BOUNDARY-LAYER MOMENTUM THICKNESS REYNOLDS NUMBER OF 0.5X10**4. 6. REFERENCES: LEWIS, J. E., GRAN, R. L., AND KUBOTA, T., "AN EXPERIMENT ON THE ADIABATIC COMPRESSIBLE TURBULENT BOUNDARY-LAYER IN ADVERSE AND FAVORABLE PRESSURE GRADIENTS" J. FLUID MECH., VOL. 51, PART 4, PP. 657-672, FEB. 1972. FERNHOLZ, H. H., AND FINLEY, P. J., "A CRITICAL COMPILATION OF COMPRESSIBLE TURBULENT BOUNDARY LAYER DATA," AGARDOGRAPH 223, 1977 (FLOW 7201). 7. INSTRUMENTATION: STATIC PRESSURE ORIFICES AND THERMOCOUPLES WERE USED TO MEASURE WALL PRESSURE AND TEMPERATURE. STANTON PROBES WERE USED TO OBTAIN SURFACE SKIN FRICTION. MEAN FLOW PROFILES WERE OBTAINED FROM PITOT AND STATIC PRESSURE AND TOTAL TEMPERATURE SURVEYS ACROSS THE BOUNDARY LAYER. 8. EXPERIMENTAL PARAMETERS: RZ = -0.254 POD = 4.9600*10**5 N/M**2. TOD = 3.1800*10**2 DEGREES K. TT = 318 DEGREES K. TW = 2.9300*10**2 DEGREES K. TD = 2.9300*10**2 DEGREES K. PW/PD = 4.9214*10**3 SW = 0.0000 MINF = 3.98 TINF = 76.294 DEGREES K. UINF = 697.01 M/SEC. PINF = 3.3551*10**3 N/M**2. DELTAINF = 0.0058 M. DELTAXINF = 0.00199 M. THETAINF = 0.000252 M. TEST SURFACE WALL RADIUS = 0.254 M. THE INFINITY CONDITIONS ARE DEFINED AT X = 0.2916 M. 9. MEASURED AND INFERRED VARIABLES: THE X COORDINATE IS MEASURED IN THE STREAMWISE DIRECTION FROM THE MODEL LEADING EDGE. THE Y COORDINATE IS NORMAL TO THE TEST SURFACE. THE COMPILED FORM OF THE DATA ARE AS FOLLOWS M MACH NUMBER. MD MACH NUMBER AT D. P STATIC PRESSURE, N/M**2. PD STATIC PRESSURE AT D, N/M**2. POD STAGNATION PRESSURE AT D, N/M**2. PW STATIC PRESSURE AT W, N/M**2. TOD STAGNATION TEMPERATURE AT D, DEGREES K. TO STAGNATION TEMPERATURE, DEGREES K. TW TEMPERATURE AT W, DEGREES K. TR RECOVERY TEMPERATURE, DEGREES K. TW/TR=TWR WALL RECOVERY TEMPERATURE RATIO. SW NUMBER INDICATING THE RELATIVE IMPORTANCE OF LONGITUDINAL CURVATURE IN A PRESSURE GRADIENT. RZ TRANSVERSE RADIUS OF CURVATURE. RED2W REYNOLDS NUMBER BASED ON D2,VISCOSITY TAKEN AT WALL. RED2D REYNOLDS NUMBER BASED ON D2,VISCOSITY TAKEN IN THE FREE-STREAM. D BOUNDARY LAYER THICKNESS SELECTED, M. D1 DISPLACEMENT THICKNESS. D2=THETA MOMENTUM DEFECT THICKNESS, M. D3 KINETIC ENERGY DEFECT THICKNESS. D4 TOTAL ENTHALPY DEFECT THICKNESS. D1K DISPLACEMENT THICKNESS, (RHO/RHOD = 1). D2K MOMENTUM DEFECT THICKNESS, (RHO/RHOD = 1). D3K KINETIC ENERGY DEFECT THICKNESS, (RHO/RHOD = 1). H12 SHAPE FACTOR, (D1/D2). H32 SHAPE FACTOR, (D3/D2). H42 SHAPE FACTOR, (D4/D2). H12K SHAPE FACTOR, (D1K/D2K). H32K SHAPE FACTOR., (D3K/D2K). CF SKIN FRICTION COEFFICIENT. CFE=CFD SKIN FRICTION COEFFICIENT AT D. CQ HEAT TRANSFER COEFFICIENT. I Y-STATION IDENTITY. PI2 PRESSURE GRADIENT PARAMETER. U VELOCITY COMPONENT IN X-DIRECTION, M/SEC. UE=UD VELOCITY COMPONENT IN X-DIRECTION AT D, M/SEC. U/UE = U/UD NONDIMENSIONAL VELOCITY RATIO. THETA REFERENCE MOMENTUM THICKNESS, M. DELTAINF BOUNDARY LAYER THICKNESS, M. DELTAXINF PT2/P NONDIMENSIONAL PRESSURE RATIO. TO/TOD NONDIMENSIONAL TEMPERATURE RATIO. M/MD NONDIMENSIONAL MACH NUMBER RATIO. T/TD NONDIMENSIONAL TEMPERATURE RATIO. RHO/RHOD*(U/UD) NONDIMENSIONAL MASS FLUX * NONDIMENSIONAL VELOCITY. 10. MEASUREMENT UNCERTAINTIES: UNCERTAINTIES ESTIMATED FROM BASIC MEASUREMENT UNCERTAINTY PW = +/- 2% CFE = +/- 10% U = +/- 3% H = +/- 5% 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: BLOCKSIZE = 8000 BYTES NORMALIZED DATA ARE CREATED FROM MEASURED DATA AS FOLLOWS: XNORM = (X - XMIN)/(XMAX - XMIN) NORMALIZED VALUES ARE INTEGERIZED BY MULTIPLYING BY 10000 AND ROUNDING UP OR DOWN TO THE NEAREST INTEGER. IXNORM = XNORM * 10000. THUS EACH NORMALIZED DATUM IS WRITTEN ONTO TAPE AS AN INTEGER VALUE BETWEEN 0 AND 10000. ALL NULL DATA ARE WRITTEN AS 20000 THE EQUATION DESCRIBING THE RELATION BETWEEN ACTURAL DATA AND THE NORMALIZED DATA ON TAPE IS X = XMIN + (((XMAX - XMIN) * IXNORM)/10000.) WHERE X, XMAX AND XMIN ARE REAL AND IXNORM IS INTEGER. FILE# NREC CONTAINS FORMAT COMMENTS 1 - TEXT FILE - CONTAINS ITEMS 1 TO 11 OF THIS WRITE-UP 2 25 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.29159 M, MD = 3.9800, TW/TR = 1.0005, RED2W = 1480.3, RED2D = 4921.4, D2 = 0.00025217, CF = 0.0015154, PI2 = 0.00000, H12 = 7.9198, H32 = 1.8339, H42 = 0.1444, H12K = 1.4601, H32K = 1.8099, D2K = 0.00046448, PW = PD= 3355.1 N/M**2, UD = 697.01 M/SEC, TD = 76.294 DEGREES K, TR = 292.86 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 25 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 3 22 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.31674 M, MD = 3.9800, TW/TR = 1.0005, RED2W = 1546.8, RED2D = 5142.5, D2 = 0.00026350, CF = 0.0015501, PI2 = 0.00000, H12 = 7.7648, H32 = 1.8416, H42 = 0.1450, H12K = 1.3919, H32K = 1.8169, D2K = 0.00047561, PW = PD= 3355.1 N/M**2, UD = 697.01 M/SEC, TD = 76.294 DEGREES K, TR = 292.86 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 22 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 4 22 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.34265 M, MD = 3.9800, TW/TR = 1.0005, RED2W = 1514.3, RED2D = 5034.6, D2 = 0.00025797, CF = 0.0014530, PI2 = 0.00000, H12 = 7.8375, H32 = 1.8239, H42 = 0.1436, H12K = 1.4032, H32K = 1.7927, D2K = 0.00048452, PW = PD= 3355.1 N/M**2, UD = 697.01 M/SEC, TD = 76.294 DEGREES K, TR = 292.86 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 22 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 5 30 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.43129 M, MD = 2.9209, TW/TR = 0.9860, RED2W = 4122.6, RED2D = 9026.8, D2 = 0.00026195, CF = 0.0012271, PI2 = 0.70225, H12 = 5.1226, H32 = 1.7594, H42 = 0.1283, H12K = 1.5220, H32K = 1.7373, D2K = 0.00042337, PW = PD=15211.0 N/M**2, UD = 634.82 M/SEC, TD = 117.50 DEGREES K, TR = 297.15 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 30 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 6 26 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.45669 M, MD = 2.6169, TW/TR = 0.9803, RED2W = 5702.8, RED2D = 11040.0, D2 = 0.00027150, CF = 0.0015257, PI2 = 0.74629, H12 = 4.2220, H32 = 1.7956, H42 = 0.1263, H12K = 1.4395, H32K = 1.7808, D2K = 0.00038797, PW = PD=24216.0 N/M**2, UD = 607.81 M/SEC, TD = 134.20 DEGREES K, TR = 298.88 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 26 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 7 25 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.46939 M, MD = 2.4661, TW/TR = 0.9772, RED2W = 6784.0, RED2D = 12357.0, D2 = 0.00028041, CF = 0.0017262, PI2 = 0.77286, H12 = 3.8493, H32 = 1.8182, H42 = 0.1252, H12K = 1.4210, H32K = 1.8086, D2K = 0.00037717, PW = PD=30603.0 N/M**2, UD = 592.27 M/SEC, TD = 143.48 DEGREES K, TR = 299.85 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 25 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 8 27 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.48209 M, MD = 2.5545, TW/TR = 0.9790, RED2W = 6707.1, RED2D = 12661.0, D2 = 0.00030110, CF = 0.0018069, PI2 = -0.46879, H12 = 3.9027, H32 = 1.8399, H42 = 0.1280, H12K = 1.3467, H32K = 1.8298, D2K = 0.00040063, PW = PD=26673.0 N/M**2, UD = 601.57 M/SEC, TD = 137.96 DEGREES K, TR = 299.28 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 27 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). 9 36 Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 1&2 - MAXIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). FOR X = 0.67259 M, MD = 3.6361, TW/TR = 0.9966, RED2W = 4474.4, RED2D = 13032.0, D2 = 0.00055762, CF = 0.0016387, PI2 = -0.20772, H12 = 6.3213, H32 = 1.8922, H42 = 0.1457, H12K = 1.2365, H32K = 1.8710, D2K = 0.00082026, PW = PD=53685.0 N/M**2, UD = 681.01 M/SEC, TD = 87.261 DEGREES K, TR = 294.00 DEGREES K. Y,PT2/P,TO/TOD,M/MD, 4E13.6/ RECORDS 3&4 - MINIMUM U/UD,T/TD, 3E13.6 VALUES RHO/RHOD*(U/UD). Y,PT2/P,TO/TOD,M/MD, 7I6 RECORDS 5 - 36 U/UD,T/TD, NORMALIZED VALUES RHO/RHOD*(U/UD). A SAMPLE PROGRAM FOR READING FILE 3 AND PRINTING, IS SHOWN BELOW. THE JCL SHOWN IS FOR THE STANFORD CIT FACILITY. CHECK WITH YOUR OWN COMPUTER INSTALLATION 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 TAPE C PRINT MAXIMAS AND MINIMAS OF ALL THE VARIABLES C PRINT NORMALIZED INTEGERIZED VALUES OF ALL THE VARIABLES. INTEGER Y(50),PT(50),TO(50),M(50),U(50),T(50),RHO(50) READ (23,30) YMAX,PTMAX,TOMAX,MMAX,UMAX,TMAX,RHOMAX READ (23,30) YMIN,PTMIN,TOMIN,MMIN,UMIN,TMIN,RHOMIN DO 10 I = 1, 18 10 READ (23,40) Y(I),PT(I),TO(I),M(I),U(I),T(I),RHO(I) WRITE (6,50) YMAX,PTMAX,TOMAX,MMAX,UMAX,TMAX,RHOMAX WRITE (6,50) YMIN,PTMIN,TOMIN,MMIN,UMIN,TMIN,RHOMIN DO 20 I = 1, 18 20 WRITE (6,60) Y(I),PT(I),TO(I),M(I),U(I),T(I),RHO(I) 30 FORMAT(4E13.6/3E13.6) 40 FORMAT(7I6) 50 FORMAT(1X,4E13.6/3E13.6) 60 FORMAT(1X,7I6) STOP END //GO.FT23F001 DD UNIT=T1600,VOI=SER=(TAPE LIBRARY NUMBER), // DISP=(OLD,KEEP),DCB=(RECFM=FE,LRECL=80,BLKSIZE=8000,DEN=3), // LABEL=(3,NL) // -------------- END OF FILE NUMBER 846------------- ----------------- FILE NUMBER 847----------------- 0.895630E-02 0.208630E 02 0.100000E 01 0.100000E 01 0.100000E 01 0.384040E 01 0.100000E 01 0.000000E 00 0.100000E 01 0.921380E 00 0.000000E 00 0.000000E 00 0.100000E 01 0.000000E 00 0 0 0 0 0 10000 0 394 1238 3918 3799 6269 6067 2302 458 1231 3906 3790 6259 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