----------------- FILE NUMBER 814----------------- 1. FLOW TITLE: CASE 0612; WIEGHARDT, K., "ON THE TURBULENT FRICTION LAYER FOR RISING PRESSURE" 2. REVISION DATE: NOVEMBER 16, 1980 3. EVALUATOR: COLES, D. E., GRADUATE AERONAUTICAL LABORATORY OF CALIFORNIA INSTITUTE OF TECHNOLOGY (GALCIT), PASADENA CA 91026 4. EXPERIMENT LOCATION AND DATE: KAISER WILHELM INSTITUT FUER STROEMUNGSFORSCHUNG, GOETTINGEN, GERMANY NOVEMBER 1944 5. ABSTRACT: TWENTY-THREE EQUILIBRIUM VELOCITY PROFILES WERE MEASURED FOR A STANDARD FLAT PLATE BOUNDARY LAYER. THE MEASUREMENTS HAVE BEEN CHOSEN AS TYPICAL OF THE FLAT PLATE BOUNDARY LAYER, WITH CERTAIN RESERVATIONS. THE MODEL WAS A WAXED PLYWOOD PLATE WITH A SLIGHTLY UNDULATING SURFACE; THE TRIPPING DEVICE WAS A BLUNT LEADING EDGE FITTED WITH A SMALL TRIP WIRE. THE FIRST PROFILE IS PROBABLY AT ABOUT THE MINIMUM REYNOLDS NUMBER FOR TURBULENT FLOW. THE DATA WERE OBTAINED USING A RAKE RATHER THAN A SINGLE PROBE. THIS TECHNIQUE FIXES THE RELATIVE POSITION OF THE DATA POINTS AND AVOIDS SOME OF THE EFFECTS OF DRIFT IN TUNNEL CONDITIONS BY SPEEDING UP THE DATA-TAKING PROCESS. HOWEVER, THE PROFILES MAY BE SUBJECT TO MORE WALL INTERFERENCE THAN USUAL. MOREOVER, THE PROFILES ARE DEFINED BY A RELATIVELY SMALL NUMBER OF POINTS, NONE OF WHICH LIE IN THE SUBLAYER. CONSEQUENTLY, COMPUTED VALUES FOR THE INTEGRAL PARAMETERS (ESPECIALLY FOR THE FIRST FEW STATIONS) ARE STRONGLY AFFECTED BY THE CHOICE OF INTERPOLATION SCHEME FOR THE INTEGRATION. 6. REFERENCES: 1. COLES, D. E. AND HIRST, E. A., "COMPUTATION OF BOUNDARY LAYERS 1968 AFOSR-IFP STANFORD CONFERENCE PROCEEDINGS" IDENTIFICATION 1400 2. WIEGHARDT, K. AND TILLMANN, W. "ON THE TURBULENT FRICTION LAYER FOR RISING PRESSURE" N.A.C.A. TECHNICAL MEMO. 1314 (1951) 7. INSTRUMENTATION: VELOCITY MEASUREMENTS: A RAKE OF PITOT STATIC PROBES. 8. EXPERIMENTAL PARAMETERS: REFERENCE FREE-STREAM VELOCITY (UREF): 33 M/S FREE-STREAM TURBULENCE INTENSITY: <0.0025 KINEMATIC VISCOSITY (XNU): 0.151E-04 M**2/S 9. MEASURED VARIABLES: VELOCITY EXTERNAL TO THE BOUNDARY LAYER (UE) STREAMWISE MEAN VELOCITY (U) DISTANCE NORMAL TO THE PLATE (Y) DISTANCE FROM THE LEADING EDGE (X) EACH MEASURING STATION INCLUDES DATA FOR THE FOLLOWING MEASURED OR INFERRED QUANTITIES X DISTANCE MEASURED FROM LEADING EDGE IN M US WALL SHEAR VELOCITY IN M/S UE VELOCITY EXTERNAL TO THE BOUNDARY LAYER IN M/S THETA MOMENTUM THICKNESS IN M DELS DISPLACEMENT THICKNESS IN M ENTH ENERGY THICKNESS IN M CLTH CLAUSER THICKNESS IN M H NONDIMENSIONAL SHAPE FACTOR (DELS/THETA) G NONDIMENSIONAL EQUILIBRIUM SHAPE FACTOR HS NONDIMENSIONAL SHAPE FACTOR (ENTH/THETA) RTHETA REYNOLDS NUMBER BASED ON THETA RDELS REYNOLDS NUMBER BASED ON DELS DUE STREAMWISE GRADIENT OF VELOCITY EXTERNAL TO BOUNDARY LAYER IN (S** -1) CF NONDIMENSIONAL SKIN FRICTION COEFFICIENT CFLT NONDIMENSIONAL SKIN FRICTION COEFFICIENT ACCORDING TO LUDWIEG-TILLMANN FORMULA CFE NONDIMESIONAL SKIN FRICTION COEFFICIENT AS REPORTED BY THE ORIGINATOR BETA NONDIMENSIONAL EQUILIBRIUM PARAMETER YPLUS NONDIMENSIONAL WALL VARIABLE UPLUS NONDIMENSIONAL WALL VARIABLE Y DISTANCE MEASURED NORMAL TO PLATE IN M U/UE NONDIMESIONAL MEAN VELOCITY Y/CLTH DISTANCE MEASURED FROM PLATE NONDIMENSIONALIZED WITH RESPECT TO CLAUSER THICKNESS (COLES & HIRST USE Y/CD) UDEF NONDIMENSIONAL DEFECT VELOCITY 10. UNCERTAINTY: NONE SPECIFIED 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 ACTUAL 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 52 X,US,UE, 6E13.6 RECORD 1- MAXIMUM THETA,DELS, VALUES ENTH CLTH,H,G,HS, 6E13.6 RECORD 2- MAXIMUM RTHETA,RDELS VALUES DUE,CF,CFLT, 5E13.6 RECORD 3- MAXIMUM CFE,BETA VALUES X,US,UE, 6E13.6 RECORD 4- MINIMUM THETA,DELS, VALUES ENTH CLTH,H,G,HS, 6E13.6 RECORD 5- MINIMUM RTHETA,RDELS VALUES DUE,CF,CFLT, 5E13.6 RECORD 6- MINIMUM CFE,BETA VALUES X,US,UE,THETA, 9I6 ODD RECORDS 7-51 DELS,ENTH,CLTH, NORMALIZED VALUES H,G HS,RTHETA,RDELS, 8I6 EVEN RECORDS 8-52 DUE,CF,CFLT,CFE, NORMALIZED VALUES BETA FILES 3 TO 25 CONTAIN FLOW DATA AT TWENTY-THREE STREAMWISE MEASURING STATIONS CORRESPONDING TO THE X STATIONS OF FILE 2. 3 8 YPLUS,UPLUS,Y, 6E13.6 RECORD 1- MAXIMUM U/UE,Y/CLTH,UDEF VALUES YPLUS,UPLUS,Y, 6E13.6 RECORD 2- MINIMUM U/UE,Y/CLTH,UDEF VALUES YPLUS,UPLUS,Y, 6I6 RECORDS 3-8 U/UE,Y/CLTH,UDEF NORMALIZED VALUES 4 12 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-12 NORMALIZED VALUES 5 14 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-14 NORMALIZED VALUES 6 14 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-14 NORMALIZED VALUES 7 16 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-16 NORMALIZED VALUES 8 13 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-13 NORMALIZED VALUES 9 13 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-13 NORMALIZED VALUES 10 14 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-14 NORMALIZED VALUES 11 15 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-15 NORMALIZED VALUES 12 15 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-15 NORMALIZED VALUES 13 16 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-16 NORMALIZED VALUES 14 16 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-16 NORMALIZED VALUES 15 17 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-17 NORMALIZED VALUES 16 13 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-13 NORMALIZED VALUES 17 14 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-14 NORMALIZED VALUES 18 14 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-14 NORMALIZED VALUES 19 14 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-14 NORMALIZED VALUES 20 15 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-15 NORMALIZED VALUES 21 15 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-15 NORMALIZED VALUES 22 16 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-16 NORMALIZED VALUES 23 16 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-16 NORMALIZED VALUES 24 17 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-17 NORMALIZED VALUES 25 17 6E13.6 RECORD 1- MAXIMUM VALUES 6E13.6 RECORD 2- MINIMUM VALUES 6I6 RECORDS 3-17 NORMALIZED VALUES A SAMPLE PORGRAM FOR READING FILE 7 AND PRINTING IT 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 7 OFF TAPE C PRINT MAXIMAS AND MINIMAS OF ALL THE VARIABLES C PRINT NORMALIZED INTEGERIZED VALUES OF ALL THE VARIABLES. INTEGER YPLUS(14),UPLUS(14),Y(14),URAT(14),YCLT(14), 1 UDEF(14) READ (23,30) YPLSMX,UPLSMX,YMX,URATMX,YCLTMX,UDEFMX READ (23,30) YPLSMN,UPLSMN,YMN,URATMN,YCLTMN,UDEFMN DO 10 I = 1, 14 10 READ (23,40) YPLUS(I),UPLUS(I),Y(I),URAT(I),YCLT(I), 1 UDEF(I) WRITE (6,50) YPLSMX,UPLSMX,YMX,URATMX,YCLTMX,UDEFMX WRITE (6,50) YPLSMN,UPLSMN,YMN,URATMN,YCLTMN,UDEFMN DO 20 I = 1, 14 20 WRITE (6,60) YPLUS(I),UPLUS(I),Y(I),URAT(I),YCLT(I), 1 UDEF(I) 30 FORMAT(6E13.6) 40 FORMAT(6I6) 50 FORMAT(1X,6E13.6) 60 FORMAT(1X,6I6) STOP END //GO.FT23F001 DD UNIT=T1600,VOL=SER=(TAPE LIBRARY NUMBER), // DISP=(OLD,KEEP),DCB=(RECFM=FB,LRECL=80,BLKSIZE=8000,DEN=3), // LABEL=(7,NL) // -------------- END OF FILE NUMBER 814------------- ----------------- FILE NUMBER 815----------------- 0.498700E 01 0.171000E 01 0.331000E 02 0.710100E-02 0.932900E-02 0.127340E-01 0.267750E 00 0.210170E 01 0.101483E 02 0.183610E 01 0.155177E 05 0.203885E 05 0.000000E 00 0.534000E-02 0.309000E-02 0.000000E 00 0.000000E 00 0.870000E-01 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