----------------- FILE NUMBER 334----------------- 1. FLOW TITLE: CASE 0311; "PLANAR MIXING LAYER DEVELOPING FROM TURBULENT WALL BOUNDARY LAYERS". 2. REVISION DATE: FEBRUARY 12, 1981 3. EVALUATOR: BIRCH, S., BOEING AEROSPACE CO., SEATTLE, WASHINGTON 4. EXPERIMENT LOCATION AND DATE: SEE REFS. 1-3 5. ABSTRACT: TEST CASE CONSISTS OF FOUR SETS OF DATA FOR SINGLE- STREAM MIXING LAYERS, ALL DEVELOPING FROM NOMINALLY FULLY DEVELOPED, TURBULENT WALL BOUNDARY LAYERS. THESE SELECTED SETS ARE: GARTSHORE (1965), FOSS (1977), HUSAIN & HUSSAIN 1 (1979), AND HUSAIN & HUSSAIN 2 (1979). ALL FOUR SETS OF DATA APPEAR TO COLLAPSE TO A SINGLE CURVE WHEN NORMALIZED BY THE CORRESPONDING MOMENTUM THICKNESS OF THE BOUNDARY LAYER AT THE SEPARATION POINT. 6. REFERENCES: 1. GARTSHORE, I. S., "THE STREAMWISE DEVELOPMENT OF TWO-DIMENSIONAL TURBULENT SHEAR FLOWS", PH.D. THESIS, MCGILL UNIVERSITY, AUGUST 1965. 2. FOSS, J. F., "THE EFFECT OF LAMINAR/TURBULENT BOUNDARY LAYER STATES ON THE DEVELOPMENT OF A PLANE MIXING LAYER", PROCEEDINGS SYMPOSIUM ON TURBULENT SHEAR FLOWS, PP. 11.33-11.42, APRIL 18-20, 1977. 3. HUSAIN, Z. D., AND HUSSAIN, A. K. M. F., "AXI- SYMMETRIC MIXING LAYER: INFLUENCE OF THE INITIAL AND BOUNDARY CONDITIONS", AIAA JOURNAL, VOL. 17, NO. 1, PP. 48-55, JANUARY 1979. 7. INSTRUMENTATION: VARIOUS TECHNIQUES WERE USED. 8. EXPERIMENTAL PARAMETERS: 1. GARTSHORE (1965); PLANE MIXING LAYER VELOCITY ................... 19.6 M/SEC THETA ...................... 0.079 CM RE-THETA ................... 1.04 X (10**3) 2. FOSS (1977); PLANE MIXING LAYER WITH END PLATE VELOCITY ................... 18.3 M/SEC THETA ...................... 0.081 CM RE-THETA ................... 1.07 X (10**3) 3. HUSSAIN 1 (1979); 12.7 CM DIAM. NOZZLE WITHOUT END PLATE VELOCITY ................... 30.0 M/SEC THETA ...................... 0.0706 CM RE-THETA ................... 1.45 X (10**3) 4. HUSSAIN 2 (1979); 12.7 CM DIAM. NOZZLE WITH END PLATE VELOCITY ................... 30.0 M/SEC THETA ...................... 0.0632 CM RE-THETA ................... 1.29 X (10**3) 9. MEASURED AND INFERRED VARIABLES: X DOWNSTREAM DISTANCE (M) Y CROSS-STREAM DISTANCE (M) L WIDTH FOR A MIXING LAYER BETWEEN THE POINTS AT WHICH U-U2 IS (0.1**.5)*(U1-U2) AND (0.9**.5)*(U1-U2); FOR THE WAKE REPLACE U1 BY UE AND U2 BY UCL (M) THETA MOMENTUM THICKNESS (M) U X-COMPONENT OF MEAN VELOCITY DL1 UP UC U1 VALUE OF U ON THE HIGH SPEED SIDE OF A MIXING LAYER U2 VALUE OF U ON THE LOW SPEED SIDE OF A MIXING LAYER UE VALUE OF U IN EXTERNAL STREAM UCL VALUE OF U ON WAKE CENTERLINE FILE 2 OF THIS TAPE CONTAINS THE INITIAL CONDITIONS FOR THIS CASE. THESE INITIAL CONDITIONS CORRESPOND TO REF 3: X = 0.005 CM, EXIT CENTERLINE VELOCITY = 30.0 M/S UP/UC = 0.0034, OVERHEAT = 1.4 RETHETA = 1.45*10**3, DELTA = 0.60190 CM DELTA* = 0.1011 CM , THETA = 0.07064 CM SHAPE FACTOR = 1.431, UTAU = 1.366 M/S UPM/UC = 0.086671 , YUPM/DL1 = 0.1413 10. MEASUREMENT UNCERTAINTY: NONE REPORTED 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 35 INITIAL CONDITIONS: X = 0.00005 M, Y,Y/DL1,U/UC,UP/UC 4E13.6 RECORD 1 MAXIMUM VALUES Y,Y/DL1,U/UC,UP/UC 4E13.6 RECORD 2 MINIMUM VALUES Y,Y/DL1,U.UC,UP/UC 4E13.6 RECORDS 3-35 NORMALIZED VALUES 3 13 FOSS DATA X/THETA, L/THETA RECORD 1 MAX VALUES RECORD 2 MINIMUM VALUES RECORD 3-13 NORMALIZED VALUES 4 7 GARTSHORE DATA X/THETA, L/THETA RECORD 1 MAX VALUES RECORD 2 MINIMUM VALUES RECORDS 3-7 NORMALIZED VALUES 5 19 HUSSAIN 1 DATA X/THETA, L/THETA RECORD 1 MAX VALUES RECORD 2 MIN VALUES RECORDS 3-19 NORMALIZED VALUES 6 19 HUSSAIN 2 DATA X/THETA, L/THETA RECORD 1 MAX VALUES RECORD 2 MIN VALUES RECORDS 3-19 NORMALIZED VALUES A SAMPLE PROGRAM 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 2 OFF TAPE C PRINT MAXIMAS AND MINIMAS OF ALL THE VARIABLES C PRINT NORMALIZED INTEGERIZED VALUES OF ALL THE VARIABLES. INTEGER VELRAT(17),CFRAT(17) READ (23,30) VELRMX,CFRAMX READ (23,30) VELRMN,CFRAMN DO 10 I = 1, 17 10 READ (23,40) VELRAT(I),CFRAT(I) WRITE (6,50) VELRMX,CFRAMX WRITE (6,50) VELRMN,CFRAMN DO 20 I = 1, 17 20 WRITE (6,60) VELRAT(I),CFRAT(I) 30 FORMAT(2E13.6) 40 FORMAT(2I6) 50 FORMAT(1X,2E13.6) 60 FORMAT(1X,2I6) 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=(2,NL) // -------------- END OF FILE NUMBER 334------------- ----------------- FILE NUMBER 335----------------- 0.776000E 00 0.767800E 01 0.100000E 01 0.866700E-01 0.200000E-02 0.160000E-01 0.149560E 00 0.654000E-02 10000 10000 10000 0 9018 9016 9996 396 8036 8032 9933 1318 7054 7049 9757 2652 6059 6065 9445 3834 5736 5737 9303 4168 5413 5410 9196 4461 5078 5081 9050 4818 4755 4753 8896 5054 4419 4426 8755 5239 4096 4098 8584 5543 3773 3771 8382 5883 3437 3442 8211 5944 3114 3114 8016 6083 2946 2951 7913 6222 2778 2786 7803 6232 2623 2622 7689 6305 2455 2459 7595 6437 2287 2294 7489 6504 2132 2131 7372 6529 1964 1967 7255 6637 1796 1802 7124 6628 1641 1639 6989 6573 1473 1475 6856 6846 1305 1310 6699 6747 1137 1147 6548 6788 982 983 6361 6949 814 820 6134 7041 646 655 5850 7130 491 491 5440 7639 323 328 4713 8343 155 163 3011 10000 0 0 0 7422 -------------- END OF FILE NUMBER 335------------- ----------------- FILE NUMBER 336----------------- 0.627160E 03 0.734600E 02 0.277800E 02 0.784000E 01 0 0 583 244 1106 564 1627 899 2676 1628 3722 2550 4768 3772 5815 5014 6861 6181 7907 7422 10000 10000 -------------- END OF FILE NUMBER 336------------- ----------------- FILE NUMBER 337----------------- 0.137903E 04 0.173226E 03 0.232258E 03 0.245580E 02 0 0 2511 2594 5007 4927 7574 7700 10000 10000 -------------- END OF FILE NUMBER 337------------- ----------------- FILE NUMBER 338----------------- 0.683569E 03 0.826760E 02 0.899400E 01 0.705100E 01 0 0 133 38 267 157 400 205 533 281 667 295 933 495 1200 614 1467 671 2000 1170 2533 1594 3067 1889 4133 3154 5200 4244 6800 5866 8415 7964 10000 10000 -------------- END OF FILE NUMBER 338------------- ----------------- FILE NUMBER 339----------------- 0.763608E 03 0.922750E 02 0.100470E 02 0.751600E 01 0 0 133 85 267 161 400 199 533 284 667 351 933 488 1200 692 1467 806 2000 1304 2533 1726 3067 2129 4133 3134 5200 4258 6800 6325 8400 8388 10000 10000 -------------- END OF FILE NUMBER 339-------------  2129 4133 3134 5200 4258 6800 6325 8400 8388 10000 10