----------------- FILE NUMBER 448----------------- 1. FLOW TITLE: CASE 0370, (0371, 0372, 0373, 0374, 0375, AND 0376); (REFER TO PAPER WRITTEN BY EVALUATOR: FERZIGER, J. H., 1981 ). HOMOGENEOUS TURBULENT FLOWS. 2. REVISION DATE: OCTOBER 30, 1981. 3. EVALUATOR: FERZIGER, J. H., (1981), MECHANICAL ENGINEERING DEPARTMENT, STANFORD UNIVERSITY, STANFORD, CA. 94305. 4. DATE AND LOCATION: VARIOUS, (REFER TO FERZIGER, J. H., 1981.) 5. ABSTRACT: HOMOGENEOUS FLOWS ARE, BY DEFINITION, THE ONES IN WHICH NO POINT DIFFERS FROM ANY OTHER POINT IN THE STATISTICAL SENSE. FROM THE NAVIER STOKES EQUATIONS, ONE CAN SHOW THAT TO PRODUCE A HOMOGENEOUS FLOW, THE MEAN VELOCITY PROFILE MUST BE A LINEAR FUNCTION OF ALL THE COORDINATES. FOR FURTHER INFORMATION AND CLASSIFICATION OF THESE FLOWS, SEE THE REVIEW BY FERZIGER, J. H., (1980). 6. REFERENCES: 1. CHAMPAGNE, F. H., HARRIS, V. G., AND CORRSIN, S., (1970). "EXPERIMENTS ON NEARLY HOMOGENEOUS TURBULENT SHEAR FLOW," J. FLUID MECH., 41, 81. 2. COMETE-BELLOT, G., AND CORRSIN, S., (1966). "THE USE OF A CONTRACTION TO IMPROVE THE ISOTROPY OF GRID-GENERATED TURBULENCE," J. FLUID MECH., 25, 657. 3. FERZIGER, J. H. (1980). "HOMOGENEOUS TURBULENT FLOWS: A REVIEW AND EVALUATION," REPORT FOR THE 1980-1981 AFOSR-HTTM-STANFORD CONFERENCE ON COMPLEX TURBULENT FLOWS. 4. HARRIS, V. J., GRAHAM, J. A. H., AND CORRSIN, S., (1977). "FURTHER EXPERIMENTS IN NEARLY HOMOGENEOUS TURBULENT SHEAR FLOW," J. FLUID MECH., 81, 657. 5. TAN-ATICHAT, J., (1980). "EFFECTS OF AXISYMMETRIC CONTRACTIONS ON TURBULENCE OF VARIOUS SCALES," PH.D. THESIS, ILLINOIS INSTITUTE OF TECHNOLOGY. SEE ALSO: TAN-ATICHAT, J., NAGIB, H. M., AND DRUBKA, R. E., "EFFECTS OF AXISYMMETRIC CONTRACTIONS ON TURBULENCE OF VARIOUS SCALES," NASA CR 165136, 1980. 6. TOWNSEND, A. A. (1956). "THE UNIFORM DISTORTION OF HOMOGENEOUS TURBULENCE," Q. J. MECH. APPL. MATH., 7, 104. 7. TUCKER, H. J., AND REYNOLDS, A. J. (1968). "THE DISTORTION OF TURBULENCE BY IRROTATIONAL PLANE STRAIN," J. FLUID MECH., 32, 657. 8. UBEROI, M. S. (1956). "EFFECT OF WIND TUNNEL CONTRACTION ON FREE STREAM TURBULENCE," J. AERO., SCI., 754. 9. WIGELAND, R. A., AND NAGIB, H. M. (1978). " GRID-GENERATED TURBULENCE WITH AND WITHOUT ROTATION ABOUT THE STREAMWISE DIRECTION," FLUID AND HEAT TRANFER REPORT R78-1, ILLINOIS INST. OF TECH., CHICAGO, IL. 7. INSTRUMENTATION: VARIOUS, SEE REVIEW BY FERZIGER, J. H., (1980). 8. EXPERIMENTAL PARAMETERS: VARIOUS, SEE REVEIW BY FERZIGER, J. H., (1980). 9. MEASURED VARIABLES AND COORDINATE DEFINITIONS: X STREAMWISE COORDINATE, M. Y NORMAL COORDINATE, M. Z SPANWISE COORDINATE, M. U MEAN STREAMWISE VELOCITY, M/SEC. V MEAN TRANSVERSE VELOCITY, M/SEC. W MEAN SPANWISE VELOCITY, M/SEC. Q R.M.S. TURBULENT VELOCITY, M/SEC. U2 1,1 COMPONENT OF REYNOLDS STRESS, M**2/SEC**2. V2 2,2 COMPONENT OF REYNOLDS STRESS, M**2/SEC**2. W2 2,2 COMPONENT OF REYNOLDS STRESS, M**2/SEC**2. UV 1,2 COMPONENT OF REYNOLDS STRESS, M**2/SEC**2. U/V NONDIMENSIONAL VELOCITY. Q**2 U2 + V2 + W2 DU/DY VELOCITY DERIVATIVE, 1/SEC. DV/DY VELOCITY DERIVATIVE, 1/SEC. DW/DZ VELOCITY DERIVATIVE, 1/SEC. RE TAYLOR MICROSCALE REYNOLDS NUMBER. TF FINAL TIME, SEC. TE ELAPSED TIME, SEC. OMEGA ANGULAR VELOCITY, RADS/SEC. CR CONTRACTION RATIO. EPS INITIAL DISSIPATION RATE. 10. MEASUREMENT UNCERTAINTIES: REFER TO FERZIGER, J. H., (1980). 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 12 Q**2 , TE. 2E13.6 RECORD 1 - MAXIMUM VALUES, EPS = 15.52 . Q**2 , TE. 2E13.6 RECORD 2 - MINIMUM VALUES. Q**2 , TE. 2I6 RECORDS 3 - 12 NORMALIZED VALUES. 3 8 Q**2 , TE. 2E13.6 RECORD 1 - MAXIMUM VALUES. OMEGA=0 RADS/SEC. EPS = 23.55 . Q**2 , TE. 2E13.6 RECORD 2 - MINIMUM VALUES. Q**2 , TE. 2I6 RECORDS 3 - 8 NORMALIZED VALUES. 4 8 Q**2 , U/V , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. OMEGA=20 RADS/SEC. EPS = 21.19 . Q**2 , U/V , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. Q**2 , U/V , TE. 3I6 RECORDS 3 - 8 NORMALIZED VALUES. 5 8 Q**2 , U/V , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. OMEGA=80 RADS/SEC. EPS = 23.45 . Q**2 , U/V , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. Q**2 , U/V, TE. 3I6 RECORDS 3 - 8 NORMALIZED VALUES. 6 8 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=4,RE=3710. EPS = 0.003362 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 8 NORMALIZED VALUES. 7 5 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=9,RE=3710. EPS = 0.01504 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 5 NORMALIZED VALUES. 8 10 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=4, RE=6500. EPS = 0.0906 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 9 10 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=4,RE=12300. EPS = 0.1711 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 10 11 U2 , V2 , W2 , TE. 4E13.6 RECORD 1 - MAXIMUM VALUES. EPS = 0.0189 . U2 , V2 , W2 , TE. 4E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , W2 , TE. 4I6 RECORDS 3 - 11 NORMALIZED VALUES. 11 11 U2 , V2 , W2 , TE. 4E13.6 RECORD 1 - MAXIMUM VALUES. -DV/DY=DW/DZ =9.44 1/SEC. EPS = 0.59 . U2 , V2 , W2 , TE. 4E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , W2 , TE. 4I6 RECORDS 3 - 11 NORMALIZED VALUES. 12 28 U2 , V2 , W2 , TE. 4E13.6 RECORD 1 - MAXIMUM VALUES. -DV/DY=DW/DZ =4.45 1/SEC. EPS = 0.63 . U2 , V2 , W2 , TE. 4E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , W2 , TE. 4I6 RECORDS 3 - 28 NORMALIZED VALUES. 13 10 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=1. EPS = 0.037 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 14 10 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=9. EPS = 0.039 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 15 10 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=1. EPS = 0.022 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 16 10 U2 , V2 ,ET. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=9. EPS = 0.024 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 17 10 U2 , V2 , TE. 3E13.6 RECORD 1 - MAXIMUM VALUES. CR=16. EPS = 0.016 . U2 , V2 , TE. 3E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , TE. 3I6 RECORDS 3 - 10 NORMALIZED VALUES. 18 10 U2 , V2 , W2 , UV , TE. 5E13.6 RECORD 1 - MAXIMUM VALUES. UV=-0.000154, DU/DY=12.9 1/SEC. EPS = 1.08 . U2 , V2 , W2 , UV , TE. 5E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , W2 , UV , TE. 5I6 RECORDS 3 - 10 NORMALIZED VALUES. 19 11 U2 , V2 , W2 , UV , TE. 5E13.6 RECORD 1 - MAXIMUM VALUES. UV=-0.0574, DU/DY=48 1/SEC. EPS = 3.91 . U2 , V2 , W2 , UV ,ET. 5E13.6 RECORD 2 - MINIMUM VALUES. U2 , V2 , W2 , UV , TE. 5I6 RECORDS 3 - 11 NORMALIZED VALUES. A SAMPLE PROGRAM FOR READING FILE 3 AND PRINTING, 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 3 OFF TAPE C PRINT MAXIMAS AND MINIMAS OF ALL THE VARIABLES C PRINT NORMALIZED INTEGERIZED VALUES OF ALL THE VARIABLES. INTEGER Q**2(50), ET(50) READ (23,30) Q**2MAX,ETMAX READ (23,30) Q**2MIN,ETMIN DO 10 I = 1, 6 10 READ (23,40) Q**2(I),ET(I) WRITE (6,50) Q**2MAX,ETMAX WRITE (6,50) Q**2MIN,ETMIN DO 20 I = 1, 6 20 WRITE (6,60) Q**2(I),ET(I) 30 FORMAT(2E13.6) 40 FORMAT(2I6) 50 FORMAT(1X,2E13.6) 60 FORMAT(1X,2I6) STOP END //GO.FT23F001 DD UNIT=T1600,VOI=SER=(TAPE LIBRARY NUMBER), // DISP=(OLD,KEEP),DCB=(RECFM=FE,LRECL=80,BLKSIZE=8000,DEN=3), // LABEL=(3,NI) // -------------- END OF FILE NUMBER 448------------- ----------------- FILE NUMBER 449----------------- 0.813308E 00 0.350348E 00 0.308759E-01 0.000000E 00 10000 0 4825 674 3140 1215 2137 1782 1537 2409 1032 3358 694 4267 423 5263 104 8259 0 10000 -------------- END OF FILE NUMBER 449------------- ----------------- FILE NUMBER 450----------------- 0.175700E 00 0.477400E-01 0.930000E-02 0.000000E 00 10000 0 3311 1246 1736 2498 637 4999 210 7488 0 10000 -------------- END OF FILE NUMBER 450------------- ----------------- FILE NUMBER 451----------------- 0.177700E 00 0.126700E 01 0.473400E-01 0.109000E-01 0.117400E 01 0.000000E 00 10000 0 0 3567 2580 1248 1804 1935 2498 695 5376 4997 239 4086 7498 0 10000 10000 -------------- END OF FILE NUMBER 451------------- ----------------- FILE NUMBER 452----------------- 0.200000E 00 0.116100E 01 0.454900E-01 0.171000E-01 0.112100E 01 0.000000E 00 10000 7999 0 3597 8749 1248 1771 5499 2499 628 0 5001 180 249 7498 0 10000 10000 -------------- END OF FILE NUMBER 452------------- ----------------- FILE NUMBER 453----------------- 0.286610E-03 0.154010E-02 0.214480E 00 0.199330E-03 0.112540E-02 0.000000E 00 0 10000 0 1939 7629 1955 4401 5321 3653 5981 3088 5160 8625 2037 6762 10000 0 10000 -------------- END OF FILE NUMBER 453------------- ----------------- FILE NUMBER 454----------------- 0.374070E-03 0.331210E-02 0.479480E-01 0.369340E-03 0.279320E-02 0.000000E 00 0 10000 0 3171 4578 3233 10000 0 10000 -------------- END OF FILE NUMBER 454------------- ----------------- FILE NUMBER 455----------------- 0.174810E-02 0.925910E-02 0.742240E-01 0.134310E-02 0.629590E-02 0.000000E 00 120 10000 0 0 7547 1420 646 5682 2771 2898 3657 4231 6051 1716 5704 6753 749 7096 7503 483 8527 10000 0 10000 -------------- END OF FILE NUMBER 455------------- ----------------- FILE NUMBER 456----------------- 0.508370E-02 0.243100E-01 0.742110E-01 0.312570E-02 0.157720E-01 0.000000E 00 0 10000 0 170 7368 1426 1630 6015 3017 3921 4264 4358 5495 2312 5714 8023 1088 7069 9770 539 8534 10000 0 10000 -------------- END OF FILE NUMBER 456------------- ----------------- FILE NUMBER 457----------------- 0.179100E-01 0.574000E-02 0.129100E-01 0.163600E 00 0.127200E-01 0.394100E-02 0.104200E-01 0.000000E 00 10000 1439 10000 0 8111 0 10000 1048 6974 1289 8192 1973 7321 6420 5622 3037 4315 3740 5622 4253 4527 5642 2690 4995 2832 6959 1164 6198 4026 10000 1967 7658 0 9349 0 10000 -------------- END OF FILE NUMBER 457------------- ----------------- FILE NUMBER 458----------------- 0.243800E-01 0.265900E-01 0.219900E-01 0.165000E 00 0.100200E-01 0.158200E-01 0.611300E-02 0.000000E 00 10000 10000 10000 0 7242 5654 6611 1235 5452 3584 4218 2365 4178 2172 2542 3484 2876 1207 1737 4812 2214 1049 823 5959 1364 631 321 7357 717 74 40 8763 0 0 0 10000 -------------- END OF FILE NUMBER 458------------- ----------------- FILE NUMBER 459----------------- 0.402500E-01 0.306900E-01 0.268100E-01 0.396500E 00 0.115400E-01 0.141800E-01 0.441700E-02 0.000000E 00 10000 10000 10000 0 8589 8255 9883 210 7944 7510 8030 407 6412 5645 6235 818 5367 4082 4297 1187 4099 2495 3453 1582 3336 1453 2908 1986 2298 1538 2248 2348 2086 1726 1892 2759 1414 1665 1721 3225 1170 866 1349 3646 1083 545 1058 4105 738 454 1115 4539 365 393 803 4968 292 145 568 5336 174 0 472 5783 101 157 456 6141 0 321 414 6494 3 417 228 6865 76 109 34 7268 80 430 0 7720 38 763 22 8181 83 1108 117 8544 264 1823 81 8943 313 2016 210 9361 393 3052 173 10000 -------------- END OF FILE NUMBER 459------------- ----------------- FILE NUMBER 460----------------- 0.375000E-02 0.251000E-02 0.117000E 00 0.181000E-02 0.120000E-02 0.000000E 00 10000 10000 0 8814 7022 1452 6030 4885 2820 4690 4427 4273 3917 2290 5726 2216 1450 7179 1494 152 8547 0 0 10000 -------------- END OF FILE NUMBER 460------------- ----------------- FILE NUMBER 461----------------- 0.353000E-02 0.687000E-02 0.314820E-01 0.121000E-02 0.245000E-02 0.000000E 00 10000 22 0 6077 0 3410 2801 565 6090 0 2466 7883 517 6923 8916 1896 9004 9339 2241 9796 9680 2198 10000 10000 -------------- END OF FILE NUMBER 461------------- ----------------- FILE NUMBER 462----------------- 0.295000E-02 0.212000E-02 0.149000E 00 0.146000E-02 0.116000E-02 0.000000E 00 10000 10000 0 6241 7500 1409 5570 5312 2818 2885 4270 4295 2550 2812 5704 2013 2395 7114 0 520 8523 268 0 10000 -------------- END OF FILE NUMBER 462------------- ----------------- FILE NUMBER 463----------------- 0.258000E-02 0.708000E-02 0.400110E-01 0.839000E-03 0.209000E-02 0.000000E 00 10000 140 0 6783 0 3398 3394 400 6070 160 2665 7858 0 6172 8899 1326 9258 9330 2705 10000 9676 2418 9559 10000 -------------- END OF FILE NUMBER 463------------- ----------------- FILE NUMBER 464----------------- 0.235000E-02 0.948000E-02 0.442450E-01 0.487000E-03 0.161000E-02 0.000000E 00 7584 139 0 6135 0 3628 3075 406 6420 0 940 8311 2109 4726 9318 6296 8132 9605 9838 10000 9813 10000 9339 10000 -------------- END OF FILE NUMBER 464------------- ----------------- FILE NUMBER 465----------------- 0.629270E-01 0.550990E-01 0.497850E-01 0.217730E-01 0.176113E 00 0.494760E-01 0.284810E-01 0.324040E-01 0.152210E-01 0.000000E 00 10000 10000 10000 0 0 328 4165 2670 1225 2349 0 1894 917 5673 4713 472 1215 0 6686 5838 1173 556 35 8136 7180 1671 0 342 8789 8675 2357 175 361 10000 9356 2824 20 376 9812 10000 -------------- END OF FILE NUMBER 465------------- ----------------- FILE NUMBER 466----------------- 0.426519E 00 0.174310E 00 0.260231E 00 0.128854E 00 0.134183E 00 0.186959E 00 0.749690E-01 0.931710E-01 0.574590E-01 0.000000E 00 0 0 0 0 0 1751 1428 1569 1520 1730 2388 3090 2529 2157 3664 2646 2189 3361 1765 4526 4777 4829 4459 4029 5416 5408 4409 5300 4250 6300 7411 6242 6971 6234 7284 8074 7065 8070 7343 9118 10000 10000 10000 10000 10000 -------------- END OF FILE NUMBER 466------------- 4 7284 8074 7065 8070 7343 9118 10000 10000 10000 10000