----------------- FILE NUMBER 202----------------- 1. FLOW TITLE: CASE 0242; ANDERSEN, P. S., KAYS, W. M., AND MOFFA T, R. J.; ADVERSE PRESSURE GRADIENT WITH CONSTANT SUCTION. 2. REVISION DATE: NOVEMBER 8, 1981 3. EVALUATOR: SQUIRE, L. C., CAMBRIDGE UNIVERSITY ENGINEERING DEPARTMENT, TRUMPINGTON STREET, CAMBRIDGE CB2 1PZ, ENGLAND. 4. DATE AND LOCATION OF EXPERIMENT: 1971, STANFORD UNIVERSITY, DEPARTMENT OF MECHANICAL ENGINEERING. 5. ABSTRACT: THIS EXPERIMENTAL PROGRAM WAS CARRIED OUT ON THE STANFORD UNIVERSITY HEAT AND MASS TRANSFER APPARATUS WHICH ALLOWS ACCURATE CONTROL OF THE LONGITUDINAL PRESSURE GRADIENT AND OF THE SUCTION MASS FLOW RATE. THE INVESTIGATION WAS LIMITED TO LOW SPEEDS (U = 10 M/S) WITH AIR AS THE TRANSPIRATION FLUID. IN THE MAIN THE RESULTS FOR VELOCITY PROFILES WERE OBTAINED BY USE OF CONSTANT TEMPERATURE HOT WIRES AND AN IMPORTANT FEATURE OF THE WORK WAS THE MEASUREMENT OF SKIN FRICTION. THIS WAS OBTAINED BY MEASURING THE REYNOLDS STRESS AT A POINT CLOSE TO THE WALL AND THEN USING MEAN FLOW VEL- OCITIES BETWEEN THAT POINT AND THE WALL, TOGETHER WITH THE EQUATIONS OF MOTION, TO EVALUATE THE WALL SKIN FRICTION. RESULTS WERE OBTAINED FOR A WIDE RANGE OF INJECTION AND SUCTION RATES IN A SERIES OF EQUILIBRIUM LAYERS. CHECKS BY THE OVERALL MOMENTUM INTEGRAL EQUATION HAVE SHOWN THAT THE LAYERS ARE CLOSELY TWO- DIMENSIONAL. THE INTEGRAL PARAMETERS FOR ALL THE EQUILIBRIUM LAYERS ARE IN CLOSE AGREEMENT WITH THE CORRESPONDING PARAMETERS FROM OTHER INVESTIGATIONS. 6. REFERENCES: ANDERSEN, P. S., KAYS, W. M, AND MOFFAT, R. J.; TH E TURBULENT BOUNDARY ON A POROUS PLATE: AN EXPERIMENTAL STUDY OF THE FLUID MECHANICS FOR ADVERSE FREE-STREAM PRESSURE GRADIENTS. THERMOSCIENCES DIVISION, DEPARTMENT OF MECHANICAL ENGINEERING, STANFORD UNIVERSITY. REPORT # HMT-15, 1972. 7. INSTRUMENTATION: MEAN FLOW MEASUREMENTS WERE OBTAINED BY USE OF A CONVENTIONAL CONSTANT TEMPERATURE HOT WIRE WHICH WAS ALSO USED TO MEASURE U1U1. A ROTATABLE 45 DEGREE SLANT HOT WIRE WAS USED FOR THE MEASUREMENT OF -V1U1 AND (IN CONJUNCTION WITH THE HORIZONTAL WIRE) V1V1 AND W1W1. 8. EXPERIMENTAL PARAMETERS: THE TESTS WERE CONDUCTED AT VELOCITIES OF ABOUT 10 M/S IN A TEST SECTION 2.3 M LONG AND 0.5 M WIDE. THE ACTUAL HEIGHT WAS ABOUT 0.15 M. THE TEST SURFACE CONSISTED OF 24 SECTIONS OF POROUS PLATES WITH A SEPARATE MASS-FLOW CONTROL ON EACH. THE PLATES WERE 0.006 M THICK AND WERE MADE OF SINTERED BRONZE MATERIAL COMPOSED OF PARTICLES WITH DIAMETERS BETWEEN 0.000058 M AND 0.000018 M. THE POROSITY AND FLOW RATE UNIFORMITY IS STATED TO BE WITHIN +/- 6%, KINEMATIC VISCOSITY, XNU=1.54 E-5 METER**2/SECOND. 9. MEASURED AND INFERRED VARIABLES: X STREAMWISE COORDINATE, M. UE VELOCITY EXTERNAL TO THE BOUNDARY LAYER, M/S. F INJECTION FLOW RATE. THETA MOMENTUM THICKNESS, M. DELS DISPLACEMENT THICKNESS, M. CF SKIN FRICTION COEFFICIENT. Y COORDINATE NORMAL TO SURFACE, M. U/UE NON-DIMENSIONAL STREAMWISE VELOCITY. U2/UE2 NON-DIMENSIONAL REYNOLDS STRESS V2/UE2 NON-DIMENSIONAL REYNOLDS STRESS W2/UE2 NON-DIMENSIONAL REYNOLDS STRESS -U1V1/UE2 NON-DIMENSIONAL REYNOLDS STRESS 10. MEASUREMENT UNCERTAINTIES: X -/+ 0.001 UE +/- 0.0375 F +/- 6% THETA +/- 15% DELS +/- 15% CF +/- 0.0001 Y +/- 0.254E -5 U/UE +/- 0.0375 U2/UE2 +/- 10% V2/UE2 +/- 10% W2/UE2 +/- 10% -U1V1/UE2 +/- 10% 11. TAPE ORGANIZATION: THE TAPE IS A 2400 FOOT, 9 TRACK, ODD PARITY, PHASE ENCODED, UNLABELED 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 47 X,UE,F,THETA, 6E13.6 RECORD 1. MAXIMUM DELS,CF VALUES X,UE,F,THETA, 6E13.6 RECORD 2. MINIMUM DELS,CF VALUES X,UE,F,THETA, 6E13.6 RECORD 3 - 47. DELS,CF NORMALIZED VALUES 3 31 Y,U/UE 2E13.6 RECORD 1. MAXIMUM VALUES Y,U/UE 2E13.6 RECORD 2. MINIMUM VALUES Y,U/UE 2E13.6 RECORD 3 TO 31. NORMALIZED VALUES AT X = 0.0508 M. 4 33 X = 0.2540 M. 5 34 X = 0.5588 M. 6 35 X = 0.8636 M. 7 39 X = 1.1684 M. 8 39 X = 1.4732 M. 9 43 X = 1.7780 M. 10 38 X = 2.0828 M. 11 36 X = 2.2860 M. 12 26 Y,U2/UE2 2E13.6 RECORD 1. MAXIMUM VALUES Y,U2/UE2 2E13.6 RECORD 2. MINIMUM VALUES Y,U2/UE2 2E13.6 RECORD 3 TO 26. NORMALIZED VALUES AT X = 0.0508 M. 13 11 Y,V2/UE2,Y,W2/UE2, 6E13.6 RECORD 1. MAXIMUM Y,-U1V1/UE2 VALUES Y,V2/UE2,Y,W2/UE2, 6E13.6 RECORD 2. MINIMUM Y,-U1V1/UE2 VALUES Y,V2/UE2,Y,W2/UE2, 6E13.6 RECORD 3 TO 11. Y,-U1V1/UE2 NORMALIZED VALUES AT X = 0.0508 M. 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(45),U/UE(45) READ (23,30) YMX,UMX READ (23,30) YMN,UMN C SET N = THE NUMBER OF RECORDS IN THE FILE MINUS 2 N = 32 - 2 DO 10 I = 1,N 10 READ (23,40) Y(I),U/UE(I) WRITE (6,50) YMX,UMX WRITE (6,50) YMN,UMN DO 20 I = 1,N 20 WRITE (6,60) Y(I),U/UE(I) 30 FORMAT(2E13.6) 40 FORMAT(2E13.6) 50 FORMAT(2X,2E13.6) 60 FORMAT(2X,2E13.6) 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 202------------- ----------------- FILE NUMBER 203----------------- 0.228600E 01 0.900100E 01-0.397000E-02 0.201000E-02 0.258000E-02 0.794000E-02 0.508000E-01 0.610500E 01-0.401000E-02 0.750000E-03 0.121000E-02 0.750000E-02 0.000000E 00 0.100000E 01 0.500047E 00 0.000000E 00 0.000000E 00 0.100000E 01 0.227273E-01 0.940953E 00 0.200000E 01 0.200000E 01 0.200000E 01 0.200000E 01 0.454545E-01 0.869475E 00 0.750023E 00 0.200000E 01 0.200000E 01 0.200000E 01 0.681818E-01 0.793508E 00 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