----------------- FILE NUMBER 1455----------------- 1. FLOW TITLE: CASE 8691; MCDEVITT, J. B., SEEGMILLER, H. L., AND OKUNO, H. L.; "NON-LIFTING TRANSONIC AIRFOIL, SHOCK-SEPERATED FLOW" 2. REVISION DATE: NOVEMBER 16, 1980 3. EVALUATORS: RUBESIN, M. W. AND HORSTMAN, C. C. NASA AMES RESEARCH CENTER, MOFFETT FIELD, CA. 94035. 4. DATE AND LOCATION OF EXPERIMENT: 1975-1978, HIGH REYNOLDS NUMBER FACILITY, NASA AMES RESEARCH CENTER, MOFFETT FIELD, CA. 94035. 5. ABSTRACT: THE SUPERCRITICAL FLOW OVER A THICK CIRCULAR ARC AIRFOIL AT ZERO INCIDENCE HAS BEEN DOCUMENTED TO PROVIDE A TEST CASE FOR EVALUATING TURBULENCE MODELING WHEN MASSIVE SHOCK-INDUCED SEPARATION OCCURS. THE TEST DATA WERE OBTAINED AT A FREE-STREAM MACH NUMBER OF 0.785 AND REYNOLDS NUMBER, BASED ON MODEL CHORD, OF 1.1E 07. THE MEASUREMENTS INCLUDE MODEL AND TEST CHANNEL SURFACE PRESSURES (REF. 1 AND 2), MODEL SKIN FRICTION (REF. 3). AND LASER ANEMOMETER FLOW FIELD SURVEYS OF MEAN VELOCITIES, TURBULENT KINETIC ENERGIES, AND REYNOLDS SHEAR STRESS (REF. 4). 6. REFERENCES: 1. MCDEVITT, J, B., LEVY, L. L. AND DEIWERT, G. S., "TRANSONIC FLOW ABOUT A THICK CIRCULAR-ARC AIRFOIL", AIAA J., VOL. 14, NO. 5, MAY 1976, PP 606-613. 2. MCDEVITT, JOHN B., "SUPERCRITICAL FLOW ABOUT A THICK CIRCULAR- ARC AIRFOIL", NASA TM-78549, 1979. 3. RUBESIN, M. W., OKUNO, A. F., JR.,MCDEVITT, J. B., AND SEEGMILLER, H. L., "AN EXPERIMENT AND COMPUTATIONAL INVESTIGATION OF THE FLOW-FIELD ABOUT A TRANSONIC AIRFOIL IN SUPERCRITICAL FLOW WITH TURBULENT BOUNDARY-LAYER SEPARATION", NASA TM X-62,465, 1976. 4. SEEGMILLER, H. L., MARVIN, J. G., AND LEVY, L L., JR., "STEADY AND UNSTEADY TRANSONIC FLOW", AIAA J., VOL. 16, NO. 12, DEC. 1978, PP. 1260-1270. 7. INSTRUMENTATION: A) PRESSURES: THE AIRFOIL AND TEST CHANNEL SURFACE PRESSURES WERE MEASURED BY CONVENTIONAL MEANS WITH INDIVIDUAL TRANSDUCERS ASSIGNED TO EACH ORIFICE. ALL OF THE TRANSDUCERS WERE CALIBRATED IMMEDIATELY BEFORE EACH TEST RUN BY STEP-WISE PRESSURIZATION OF THE TEST SECTION AND COMPARING EACH TRANSDUCER WITH A PRECISION STANDARD (BAROCELL), SEE DETAILS IN REF. 1. B) SKIN FRICTION: AN ARRAY OF THIRTY SURFACE HOT-WIRE FRICTION GAGES WERE USED. THE GAGE WIRES WERE ELECTRICALLY CONNECTED TO BE USED EITHER AS RESISTANCE ELEMENTS FOR DETECTING SURFACE TEMPERATURE OR DRIVEN BY STANDARD CONSTANT TEMPERATURE HOT- WIRE EQUIPMENT (DISA) TO MEASURE SKIN FRICTION. THE GAGES WERE CALIBRATED BY CONDUCTING MEASUREMENTS IN A KNOWN FLOW ENVIRON- MENT (SEE REF. 3 FOR DETAILS). C) FLOW-FIELD SURVEYS: THE FLOW-FIELD MEASUREMENTS OF MEAN VEL- OCITIES AND TURBULENT QUANTITIES WERE MADE BY A TWO-COLOR, FORWARD SCATTER, LASER VELOCIMETER DEVELOPED AT THE AMES RESEARCH CENTER, SEE REF. 4. THE FLOW WAS SEEDED BY MICRON SIZED POLYSTYRENE SPHERES. BRAGG CELLS WERE USED TO RESOLVE FLOW DIRECTIONS, AND THE DOPPLER FREQUENCIES WERE RECORDED BY COUNTERS AND ANALYZED BY A DUAL-CHANNEL SIGNAL ANALYZER (TRACOR 575A). A DESK TOP COMPUTER (HEWLETT-PACKARD 9830) WAS USED TO DETERMINE MEAN VELOCITIES AND VARIANCES. 8. EXPERIMENTAL PARAMETERS: MODEL: THE MODEL WAS AN 18% THICK CIRCULAR ARC AIRFOIL OF CHORD LENGTH, C = 0.203 M., UNSWEPT, AT ZERO INCIDENCE AND SPANNING THE TEST CHANNEL. TEST SECTION: SECTION DIMENSIONS WERE: WIDTH = 0.254 M., HEIGHT = 0.381 M. AT THE ENTRANCE. THE CHANNEL UPPER AND LOWER WALLS WERE CONTOURED TO FOLLOW THE AIRFOIL FREE-AIR STREAMLINES AT THE TEST CONDITION. MI = FREE-STREAM MACH NUMBER = 0.785. UI = FREE-STREAM FLOW VELOCITY = 239 M/S. PTOT = FREE-STREAM TOTAL PRESSURE = 3.31E 05 N/M**2. TTOT = FREE-STREAM TOTAL TEMPERATURE = 267 DEG. KELVIN. REI/M = FREE-STREAM REYNOLDS NUMBER PER METER = 5.3E 07 9. MEASURED AND INFERRED VARIABLES: X/C = NON-DIMENSIONAL STREAMWISE COORDINATE MEASURED FROM THE AIRFOIL LEADING EDGE. PSI = INVISCID FLOW STREAMLINE BLCORR = BOUNDARY LAYER CORRECTION DEL(Y)/C = NONDIMENSIONAL CHANGE IN Y, MEASURED FROM THE AIRFOIL PLANE OF SYMMETRY. CPA = AIRFOIL COEFICIENT OF PRESSURE.(NON-DIMENSIONAL) CPU = UPPER TEST CHANNEL WALL COEFFICIENT OF PRESSURE. (NON-DIMENSIONAL) CPL = LOWER TEST CHANNEL WALL COEFFICIENT OF PRESSURE. (NON-DIMENSIONAL) U/UI = NON-DIMENSIONAL STREAMWISE VELOCITY. V/UI = NON-DIMENSIONAL TRANSVERSE VELOCITY. UV/UI**2 = NON-DIMENSIONAL REYNOLDS STRESS. (U2+V2)/UI**2 = NON-DIMENSIONAL TURBULENT KINETIC ENERGY. 10. MEASUREMENT UNCERTAINTY: MI +/- 0.003 UI +/- 1 % PTOT +/- 1 E03 N/M**2 TTOT +/- 3 DEG K. CP +/- 0.02 CF +/- 15 % U/UI +/- 4 % +/- 0.01(V/UI) V/UI +/- 4 % +/- 0.01(U/UI) U1V1 +/- 8 % (U2+V2) +/- 8 % 11. TAPE ORGANIZATION: THE TAPE IS A 2400 FT., 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 - 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 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 1 266 TEXT FILE - CONTAINS ITEMS 1 TO 11 OF THIS WRITE UP 2 26 X/C,PSI,BLCORR, 4E13.6 RECORD 1. MAXIMUM DEL(Y)/C VALUES X/C,PSI,BLCORR, 4E13.6 RECORD 2. MINIMUM DEL(Y)/C VALUE X/C,PSI,BLCORR, 4E13.6 RECORD 3 - 26. DEL(Y)/C NORMALIZED VALUES 3 31 X/C,CPA 2E13.6 RECORD 1. MAXIMUM VALUES X/C,CPA 2E13.6 RECORD 2. MINIMUM VALUE X/C,CPA 2E13.6 RECORD 3 - 31. NORMALIZED VALUES 4 19 X/C,CPU 2E13.6 RECORD 1. MAXIMUM VALUES X/C,CPU 2E13.6 RECORD 2. MINIMUM VALUE X/C,CPU 2E13.6 RECORD 3 - 19. NORMALIZED VALUES 5 19 X/C,CPL 2E13.6 RECORD 1. MAXIMUM VALUES X/C,CPL 2E13.6 RECORD 2. MINIMUM VALUE X/C,CPL 2E13.6 RECORD 3 - 19. NORMALIZED VALUES 6 19 X/C,CF 2E13.6 RECORD 1. MAXIMUM VALUES X/C,CF 2E13.6 RECORD 2. MINIMUM VALUE X/C,CF 2E13.6 RECORD 3 - 19. NORMALIZED VALUES 7 19 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 19. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 0.80 8 20 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 20. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 0.85 9 16 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 16. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 0.90 10 18 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 18. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 0.95 11 22 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 22. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 1.00 12 16 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 16. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 1.05 13 18 Y/C,U/UI,V/UI, 5E13.6 RECORD 1. MAXIMUM UV/UI**2, VALUES (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 2. MINIMUM UV/UI**2, VALUE (U2+V2)/UI**2 Y/C,U/UI,V/UI, 5E13.6 RECORD 3 - 18. UV/UI**2, NORMALIZED VALUES (U2+V2)/UI**2 AT X/C = 1.10 A SAMPLE PROGRAM FOR READING FILE 2 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 PROGRAM 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 X/C(40),CPA(40) READ (23,30) X/CMX,CPAMX READ (23,30) X/CMN,CPAMN C SET N = THE NUMBER OF RECORDS IN THE FILE MINUS 2 N = 31 - 2 DO 10 I = 1,N 10 READ (23,40) X/C(I),CPA(I) WRITE (6,50) X/CMX,CPAMX WRITE (6,50) X/CMN,CPAMN DO 20 I = 1,N 20 WRITE (6,60) X/C(I),CPA(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=(2,NL) -------------- END OF FILE NUMBER 1455------------- ----------------- FILE NUMBER 1456----------------- 0.394000E 01 0.540000E-01 0.144000E-01 0.594000E-01 -0.156000E 01 0.000000E 00 0.000000E 00 0.000000E 00 0.000000E 00 0.000000E 00 0.000000E 00 0.000000E 00 0.109092E-01 0.148148E-01 0.138889E-01 0.168350E-01 0.563637E-01 0.814815E-01 0.555555E-01 0.875421E-01 0.101818E 00 0.146296E 00 0.104167E 00 0.158249E 00 0.147273E 00 0.209259E 00 0.145833E 00 0.225589E 00 0.192727E 00 0.296296E 00 0.194444E 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