----------------- FILE NUMBER 174----------------- 1. FLOW TITLE: CASE 0235; SMITS, A.J., YOUNG, S.T.B., AND BRADSHAW, P., "THE EFFECTS OF SHORT REGIONS OF HIGH SURFACE CURVATURE ON TURBULENT BOUNDARY LAYERS" (CONVEX 30 DEGREES). 2. REVISION DATE: OCTOBER 30, 1981 3. EVALUATORS: SIMON, T., HONAMI, S., STANFORD UNIVERSITY, STANFORD CA 94305. 4. EXPERIMENT LOCATION AND DATE: DEPARTMENT OF ASTRONAUTICS, IMPERIAL COLLEGE OF SCIENCE AND TECHNOLOGY, LONDON, ENGLAND. 1978 5. ABSTRACT OF EXPERIMENT: MEASUREMENTS WERE MADE IN A TURBULENT BOUNDARY LAYER ON A WALL WHICH WAS JUST DOWNSTREAM OF A CONVEX BEND. THE TURNING ANGLE OF THE BEND WAS 30 DEGREES AND THE RADIUS OF CURVATURE WAS 0.127 M. THE DATA SHOWS THE RESPONSE OF A TURBULENT BOUNDARY LAYER TO AN 'IMPULSE' OF CURVATURE. DATA WAS ALSO TAKEN ON BOTH CONCAVE AND CONVEX WALLS OF A 20 DEGREE BEND AND ON THE CONCAVE WALL OF THE 30 DEGREE BEND BUT WAS NOT INCLUDED IN THIS DATA SET. THE BOUNDARY LAYER THICKNESS TO RADIUS OF CURVATURE RATIO AT THE BEGINNING OF THE BEND WAS 0.17. THE TUNNEL HAD AN ASPECT RATIO OF 6.0. THE TUNNEL HEIGHT REMAINED CONSTANT UPSTREAM OF, AROUND AND DOWNSTREAM OF THE BEND SO THE BOUNDARY LAYER EXPERIENCED ACCELERATION THEN DECELERATION IN AND NEAR THE BEND. ALL DATA WAS TAKEN IN THE RECOVERY REGION BEGINNING APPROXIMATELY ONE BOUNDARY LAYER THICKNESS DOWNSTREAM OF THE BEND. DATA INCLUDES MEAN VELOCITY PROFILES, PROFILES OF THE  REYNOLDS STRESS U2, V2 AND U1V1 AND PROFILES OF THE THIRD ORDER QUANTITIES, U3, V3, U2V1 AND U1V2. HIGHER ORDER DATA WERE TAKEN BUT NOT INCLUDED IN THE DATA SET. TURBULENCE DATA WERE TAKEN WITH A CONSTANT TEMPERATURE HOT WIRE ANEMOMETER. VISCOSITY FOR EACH PROFILE CAN BE CALCULATED FROM THE MOMENTUM THICKNESS, MOMENTUM THICKNESS REYNOLDS NUMBER AND THE FREESTREAM VELOCITY. 6. REFERENCE: SMITS, A. J., YOUNG, S.T.B., BRADSHAW, P., "THE EFFECTS OF SHORT REGIONS OF HIGH SURFACE CURVATURE ON TURBULENT BOUNDARY LAYERS", JFM, VOL. 94, PART 2, PP 209-242, DEC. 1978. 7. INSTRUMENTATION: TOTAL PRESSURE MEASUREMENTS: TOTAL PRESSURE WAS MEASURED WITH A TOTAL PRESSURE TUBE OF 0.001 M DIAMETER. STATIC PRESSURE MEASUREMENTS: STATIC PRESSURE PORTS ON THE SURFACE WERE USED. IT WAS ASSUMED THAT THE STREAMLINES WERE PARALLEL. FLUCTUATING VELOCITY MEASUREMENTS: HOT WIRE ANEMOMETERY USING A CROSS-WIRE PROBE IN A CONSTANT TEMPERATURE MODE. PROCESSING OF THE OUTPUT SIGNAL WAS DONE DIGITALLY. 8. EXPERIMENTAL PARAMETERS: TUNNEL HEIGHT AND SPAN ....... 0.127 M X 0.762 M DEL995/RADIUS OF CURVATURE AT BEGINNING OF CURVE ........ 0.17 RADIUS OF CURVATURE .......... 0.127 M TURNING ANGLE ................ 30 DEG DEVELOPING LENGTH UPSTREAM OF BEND ...................... 1.448 M REFERENCE VELOCITY ........... 39.7 M/S 9. MEASURED VARIABLES EACH MEASURING STATION INCLUDES DATA FOR THE FOLLOWING MEASURED OR INFERRED QUANTITIES: X STREAMWISE DISTANCE. M (REF. TO START OF CURVE) CP COEFFICIENT OF PRESSURE. UE FREESTREAM VELOCITY. M/S CFE SKIN FRICTION COEFFICENT. DEL995 BOUNDARY LAYER THICKNESS. M DELS DISPLACEMENT THICKNESS. M THETA MOMENTUM THICKNESS. M RTHETA MOMENTUM THICKNESS REYNOLDS NUMBER. Y DISTANCE FROM THE WALL. M Y/DEL995 DISTANCE FROM WALL/BOUNDARY LAYER THICKNESS. U/UE LOCAL VELOCITY/LOCAL FREESTREAM VELOCITY. U2/(UE**2) NONDIMENSIONAL REYNOLDS STRESS. V2/(UE**2) NONDIMENSIONAL REYNOLDS STRESS. U1V1/(UE**2) NONDIMENSIONAL REYNOLDS STRESS. U2V1/(UE**3) NONDIMENSIONAL TRIPLE PRODUCT. U1V2/(UE**3) NONDIMENSIONAL TRIPLE PRODUCT. U3/(UE**3) NONDIMENSIONAL TRIPLE PRODUCT. V3/(UE**3) NONDIMENSIONAL TRIPLE PRODUCT. 10. MEASUREMENT UNCERTAINTY ESTIMATED: +-5% ON U2. +-10% ON OTHER REYNOLDS STRESSES. +-15% ON TRIPLE PRODUCTS. 11. TAPE ORGANIZATION THE TAPE IS A 2400 FOOT, 9-TRACK, PHASE ENCODED, ODD PARITY, 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-XMIN)/(XMAX-XMIN) THUS EACH NORMALIZED DATUM IS WRITTEN ONTO TAPE AS A VALUE BETWEEN 0.0 AND 1.0 ALL NULL DATA ARE WRITTEN AS 2.0 THE EQUATION DESCRIBING THE RELATIONSHIP BETWEEN ACTUAL DATA AND NORMALIZED DATA IS: X=XMIN + ((XMAX-XMIN) * XNORM) WHERE X, XMAX, XMIN AND XNORM ARE REAL NUMBERS. FILE # NREC CONTENTS FORMAT COMMENTS 1 TEXT FILE CONTAINS ITEMS 1 TO 11 OF THIS WRITE-UP 2 23 X,CP 2E13.6 RECORD 1:MAX VALUES X,CP 2E13.6 RECORD 2:MIN VALUES X,CP 2E13.6 RECORDS 3-23 NORMALIZED VALUES 3 18 X,UE,CFE,DEL995 4E13.6 RECORD 1:MAX VALUES DELS,THETA,RTHETA 3E13.6 RECORD 2:MAX VALUES X,UE,CFE,DEL995 4E13.6 RECORD 3:MIN VALUES DELS,THETA,RTHETA 3E13.6 RECORD 4:MIN VALUES X,UE,CFE,DEL995 4E13.6 RECORDS 5,7,9,11,13, 15,17 NORMALIZED VALUES DELS,THETA,RTHETA 3E13.6 RECORDS 6,8,10,12,14, 16,18 NORMALIZED VALUES 4 9 X,UE,DEL995 3E13.6 RECORD 1:MAX VALUES X,UE,DEL995 3E13.6 RECORD 2:MIN VALUES X,UE,DEL995 3E13.6 RECORDS 3-9 NORMALIZED VALUES FILES 5-17 CONTAIN PROFILE DATA AT SEVEN STREAMWISE MEASURING STATIONS CORRESPONDING TO THE X STATIONS OF FILE 4. THE SIXTH STATION CONTAINS ONLY MEAN DATA WHILE THE REMAINING STATIONS CONTAIN MEAN AND TURBULENCE DATA. 5 30 Y/DEL995,U/UE 2E13.6 STATION: 1 (X=-0.185 M) RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-30 NORMALIZED VALUES 6 30 Y/DEL995,U/UE 2E13.6 STATION: 2 (X=0.03 M RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-30 NORMALIZED VALUES 7 26 Y/DEL995,U/UE 2E13.6 STATION: 3 (X=0.183 M) RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-26 NORMALIZED VALUES 8 27 Y/DEL995,U/UE 2E13.6 STATION: 4 (X=0.335 M) RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-27 NORMALIZED VALUES 9 26 Y/DEL995,U/UE 2E13.6 STATION: 5 (X=0.635 M) RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-26 NORMALIZED VALUES 10 34 Y/DEL995,U/UE 2E13.6 STATION: 6 (X=0.940 M) RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-34 NORMALIZED VALUES 11 30 Y/DEL995,U/UE 2E13.6 STATION: 7 (X=1.25 M) RECORD 1- MAXIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORD 2- MINIMUM VALUES Y/DEL995,U/UE 2E13.6 RECORDS 3-30 NORMALIZED VALUES 12 28 Y/DEL995,U2/(UE**2), 4E13.6 STATION: 1 (X=-0.185 M) V2/(UE**2), RECORD 1- MAXIMUM U1V1/(UE**2) VALUES U3/(UE**3), 4E13.6 RECORD 2- MAXIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 RECORD 3- MINIMUM V2/(UE**2), VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 RECORD 4- MINIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 ODD RECORDS 5-27 V2/(UE**2), NORMALIZED VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 EVEN RECORDS 6-28 V3/(UE**3),U2V1/(UE**3), NORMALIZED VALUES U1V2/(UE**3) 13 30 Y/DEL995,U2/(UE**2), 4E13.6 STATION: 2 (X=0.03 M) V2/(UE**2), RECORD 1- MAXIMUM U1V1/(UE**2) VALUES U3/(UE**3), 4E13.6 RECORD 2- MAXIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 RECORD 3- MINIMUM V2/(UE**2), VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 RECORD 4- MINIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 ODD RECORDS 5-29 V2/(UE**2), NORMALIZED VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 EVEN RECORDS 6-30 V3/(UE**3),U2V1/(UE**3), NORMALIZED VALUES U1V2/(UE**3) 14 30 Y/DEL995,U2/(UE**2), 4E13.6 STATION: 3 (X=0.183 M) V2/(UE**2), RECORD 1- MAXIMUM U1V1/(UE**2) VALUES U3/(UE**3), 4E13.6 RECORD 2- MAXIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 RECORD 3- MINIMUM V2/(UE**2), VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 RECORD 4- MINIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 ODD RECORDS 5-29 V2/(UE**2), NORMALIZED VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 EVEN RECORDS 6-30 V3/(UE**3),U2V1/(UE**3), NORMALIZED VALUES U1V2/(UE**3) 15 30 Y/DEL995,U2/(UE**2), 4E13.6 STATION: 4 (X=0.335 M) V2/(UE**2), RECORD 1- MAXIMUM U1V1/(UE**2) VALUES U3/(UE**3), 4E13.6 RECORD 2- MAXIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 RECORD 3- MINIMUM V2/(UE**2), VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 RECORD 4- MINIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 ODD RECORDS 5-29 V2/(UE**2), NORMALIZED VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 EVEN RECORDS 6-30 V3/(UE**3),U2V1/(UE**3), NORMALIZED VALUES U1V2/(UE**3) 16 32 Y/DEL995,U2/(UE**2), 4E13.6 STATION: 5 (X=0.635 M) V2/(UE**2), RECORD 1- MAXIMUM U1V1/(UE**2) VALUES U3/(UE**3), 4E13.6 RECORD 2- MAXIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 RECORD 3- MINIMUM V2/(UE**2), VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 RECORD 4- MINIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 ODD RECORDS 5-31 V2/(UE**2), NORMALIZED VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 EVEN RECORDS 6-32 V3/(UE**3),U2V1/(UE**3), NORMALIZED VALUES U1V2/(UE**3) 17 32 Y/DEL995,U2/(UE**2), 4E13.6 STATION: 7 (X=1.25 M) V2/(UE**2), RECORD 1- MAXIMUM U1V1/(UE**2) VALUES U3/(UE**3), 4E13.6 RECORD 2- MAXIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 RECORD 3- MINIMUM V2/(UE**2), VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 RECORD 4- MINIMUM V3/(UE**3),U2V1/(UE**3), VALUES U1V2/(UE**3) Y/DEL995,U2/(UE**2), 4E13.6 ODD RECORDS 5-31 V2/(UE**2), NORMALIZED VALUES U1V1/(UE**2) U3/(UE**3), 4E13.6 EVEN RECORDS 6-32 V3/(UE**3),U2V1/(UE**3), NORMALIZED VALUES U1V2/(UE**3) A SAMPLE PROGRAM FOR READING FILE 8 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 BRC$NJ /*SETUP TAPE=1,INPUT=(LIBRARY NUMBER ASSIGNED TO TAPE) // EXEC FORTCG //FORT.SYSIN DD * C TO READ FILE 8 OFF TAPE AND C PRINT THE MAXIMAS AND MINIMAS OF ALL THE VARIABLES AND PRINT C THE NORMALIZED VALUES OF ALL THE VARIABLES DIMENSION YU(30),U(30) READ (23,30) YMX,UMX READ (23,30) YMN,UMN WRITE (6,40) YMX,UMX WRITE (6,40) YMN,UMN C THE NEXT 25 RECORDS CONTAIN THE NORMALIZED PROFILE DATA DO 10 I=1,25 READ (23,30) YU(I),U(I) WRITE (6,40) YU(I),U(I) 10 CONTINUE 30 FORMAT (2E13.6) 40 FORMAT (1X,2E13.6) STOP END //GO.FT23F001 DD UNIT=T1600,VOL=SER=(TAPE LIBRARY), // DISP=(OLD,KEEP),DCP=(RECFM=FB,LREC=80,BLKSIZE=8000,DEN=3), // LABEL=(8,NL) // -------------- END OF FILE NUMBER 174------------- ----------------- FILE NUMBER 175----------------- 0.129500E 01-0.181000E 00 -0.244000E 00-0.897000E 00 0.000000E 00 0.100000E 01 0.331384E-01 0.983240E 00 0.662768E-01 0.937151E 00 0.909681E-01 0.860335E 00 0.107212E 00 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