----------------- FILE NUMBER 317----------------- 1. FLOW TITLE: CASE 0261, 0263, & 0264; TUBULENT WALL JET DATA COLLECTED FROM VARIOUS SOURCES. 2. REVISION DATE: OCTOBER 30, 1981 3. EVALUATORS: LAUNDER, BRIAN, UNIVERSITY OF MANCHESTER, ENGLAND; RODI, WOLFGANG, UNIVERSITAT KARLSRUHE, WEST GERMANY. 4. LOCATION AND DATE OF EXPERIMENT: VARIOUS, SEE EVALUATION REPORT BY LAUNDER, B., AND RODI, W.. 5. ABSTRACT OF EXPERIMENT: FOR CASES 0261 AND 0263 SEE THE EVALUATION REPORT BY LAUNDER, B., AND RODI, W. CASE 0264: THE EXPLORATION BY NEWMAN ET AL. (1972) INDICATES THAT THE MEAN FLOW AND TURBULENCE QUANTITIES TAKE ON SELF-PRESERVING CHARACTER IN WHICH THE RATE OF SPREAD IS UNIFORM AND THE VELOCITY MAXIMUM DECAYS AS X**-1. THE MOST STRIKING FEATURE ABOUT THE FLOW ARE THE HIGHLY UNEQUAL RATES OF SPREAD IN THE Y AND Z DIRECTIONS. THERE IS GOOD AGREEMENT AMONG VARIOUS EXPERIMENTS ABOUT THE STREAMWISE INCREASE OF Y1/2, ALL THE DATA BEING BRACKETED BY D(Y1/2)/DX = 0.048. GREATER VARIATION EXISTS IN THE REPORTED LATERAL SPREADING RATES. THE ASYMPTOTIC LATERAL RATE OF GROWTH, VERY PROBABLY, FALLS WITHIN THE BAND D(Z1/2)/DX = 0.26 6. REFERENCES: 1) ALCARAZ, E., "CONTRIBUTION `A L'ETUDE D'UN JET PLAN TURBULENT EVOLUANT LE LONG D'UNE PAROI CONVEXE A FAIBLE COURBURE". TH`ESE D'ETAT, UNIVERSITE' CLAUDE BERNARD, LYON (1977). BRADSHAW, P., AND GEE, M.T., "TURBULENT WALL JET WITH AND WITHOUT AN EXTERNAL STREAM". ARC REPORTS AND MEMORANDA, NO. 3252 (1960). 3) FEKETE, G.I., "COANDA FLOW IN 2-D WALL JET ON THE OUTSIDE OF A CIRCULAR CYLINDER". MCGILL UNIVERSITY, M.E. DEPARTMENT REPORT NO. 63-11 (1963). 4) GARTSHORE, I., AND NEWMAN, B.G., "THE TURBULENT WALL JET IN AN ARBITRARY PRESSURE GRADIENT". AERO QUARTERLY, 20, 25 (1969). 5) GILES, J.A., HAYS, A.P., AND SAWYER, R.A., "TURBULENT WALL JETS ON LOGARITHMIC SPIRAL SURFACES". AERO. QUARTERLY, 17, 201 (1966). 6) GUITTON, D.E., "2-D TURBULENT WALL JETS OVER CURVED SURFACES". MCGILL UNIVERSITY, M.E. DEPARTMENT REPORT NO. 64-7 (1964). 7) GUITTON, D.E., "SOME CONTRIBUTIONS TO THE STUDY OF EQUILBRIUM AND NON-EQUILIBRIUM WALL JETS OVER CURVED SURFACES". PH.D. THESIS, MCGILL UNIVERSITY, MONTREAL (1970). 8) GUITTON, D.E., AND NEWMAN, B.G., "SELF-PRESERVING TURBULENT WALL JETS OVER CONVEX SURFACES". J. FLUID MECHANICS, 81, 155 (1977). 9) IRWIN, H.P.A.H., "MEASUREMENTS IN BLOWN BOUNDARY LAYERS AND THEIR PREDICTION BY REYNOLDS STRESS MODELLING". PH.D. THESIS, MCGILL UNIVERSITY, MONTREAL (1974). 10) KAMEMOTO, K., "INVESTIGATION OF TURBULENT WALL JETS OVER LOGARITHMIC SPIRAL SURFACES. (1) DEVELOPMENT OF JETS AND SIMILARITY OF VELOCITY PROFILE; (2) PROPERTIES OF FLOW NEAR THE WALL". BULLETIN JSME, 17, 333 (1974). 11) KRUKA, V., AND ESKINAZI, S., THE WALL JET IN MOVING STREAM". J. FLUID MECHANICS, 20, 555 (1964). 12) LAUNDER, B.E., AND RODI, W., "THE TURBULENT WALL JET--A REVIEW OF THE EXPERIMENTAL DATA". REPORT COMMISSIONED FOR AFOSR/HTTM-STANFORD CONFERENCE ON COMPLEX TURBULENT FLOWS, SEPTEMBER 1980. 13) NEWMAN, B.G., PATEL, R.P., SAVAGE, S.B., AND TJIO, H.K., "THREE-DIMENSIONAL WALL JET ORIGINATING FROM A CIRCULAR ORIFICE". AERO. QUARTERLY, 23, 187 (1972). 14) NICOLL, W.B., "TURBULENT WALL JET: ITS DEVELOPMENT AND FILM COOLING EFFECTIVENESS". PH.D. THESIS, UNIVERSITY OF LONDON (1967). 15) PATEL, R.P., "SELF-PRESERVING, 2-D TURBULENT JETS AND WALL JETS IN A MOVING STREAM". M.ENG. THESIS, M.E. DEPARTMENT, MCGILL UNIVERSITY, MONTREAL (1962). 16) PATEL, R.P., "A STUDY OF TWO-DIMENSIONAL SYMMETRIC AND ASYMMETRIC TURBULENT SHEAR FLOWS". PH.D. THESIS, MCGILL UNIVERSITY, MONTREAL (1970). 17) RAJARATNAM, N., AND PANI, B.S., "THREE-DIMENSIONAL TURBULENT WALL JETS". J. ASCE, HYDRAULICS DIV. (HYI), 69 (1974). 18) RODI, W., "FREE TURBULENT SHEAR FLOWS--A REVIEW OF THE EXPERIMENTAL DATA". STUDIES IN CONVECTION, 1, 79 (1975). 19) SAWYER, R.A., "TWO-DIMENSIONAL TURBULENT JETS WITH ADJACENT BOUNDARIES", PH.D. THESIS, CAMBRIDGE UNIVERSITY (1962). 20) SPETTEL, F., MATHIEU, J., AND BRISON, J., "TENSIONS DE REYNOLDS ET PRODUCTION D'ENERGIE CINETIQUE TURBULENTE DANS LES JETS PARIETAUX SUR PAROIS PLANES ET CONCAVES". JOURNAL DE MECANIQUE, 11, 403 (1972). 21) TAILLAND, A., AND MATHIEU, J., "JET PARIETIAL". JOURNAL DE MECANIQUE, 6, 103 (1967). 22) TAILLAND, A., "CONTRIBUTION `A L'ETUDE D'UN JET PLAN DIRIGE TANGENTIELLEMENT `A UNE PAROI PLANE". LE GRADE DE DOCTEUR DES SCIENCES, UNIVERSITY DE LYON, NO. 618 (1970). 23) VERHOFF, A., "STEADY AND PULSATING 2-D TURBULENT WALL JETS IN A UNIFORM STREAM". PRINCETON UNIVERSITY REPORT NO. 273 (1970). 24) WILSON, D.J., PH.D. THESIS, M.E. DEPARTMENT, UNIVERSITY OF MINNESOTA (1970). 7. INSTRUMENTATION: VARIOUS, SEE EVALUATION REPORT BY LAUNDER, B., AND RODI, W. 8. EXPERIMENTAL PARAMETERS: (SEE EVALUATION REPORT BY LAUNDER, B., AND RODI, W.). 9. MEASURED AND INFERRED VARIABLES: CF - WALL SHEAR STRESS COEFFICIENT UE - FREE STREAM VELOCITY UM - MAXIMUM VELOCITY X - LONGITUDINAL COORDINATE Y - LATERAL COORDINATE Z - VERTICAL COORDINATE YM - DISTANCE FROM THE WALL TO UM UP - LONGITUDINAL VELOCITY FLUCTUATIONS VP - LATERAL VELOCITY FLUCTUATIONS WP - VERTICAL VELOCITY FLUCTUATIONS UPVP - KINEMATIC TURBULENCE SHEAR STRESS R - RADIUS K - TURBULENT KINETIC ENERGY 10. MEASUREMENT UNCERTAINTY: CASE 0264; D(Y1/2)/DX + / - 0.003 D(Z1/2)/DX + / - 0.02 11. TAPE ORGANIZATION: THE TAPE IS A 2400 FOOT, 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 RECORD PER BLOCK; 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 ON TO THE TAPE AS AN INTEGER VALUE BETWEEN 0 AND 10000, HOWEVER THE MAXIMAS AND THE MINIMAS ARE WRITTEN ON TO THE TAPE AS NORMALIZED VALUES. ALL NULL DATA ARE WRITTEN AS 20000. THE EQUATION DESCRIBING THE RELATION BETWEEN ACTUAL DATA AND THE NORMALIZED DATA ON THE TAPE IS: X = XMIN + (((XMAX - XMIN) * IXNORM)/10000.) WHERE X, XMAX AND XMIN ARE REAL AND IXNORM IS AN INTEGER. FILE# NREC CONTENTS FORMAT COMMENTS 1 TEXT FILE CONTAINS ITEMS 1-11 OF THIS WRITE-UP CASE# 0261 SELF-PRESERVING 2-D WALL JET ON PLANE SURFACE 2 6 UE/UM,DY1/2/DX 2E13.6 RECORD 1. MAX. VALUES UE/UM,DY1/2/DX 2E13.6 RECORD 2. MIN. VALUES UE/UM,DY1/2/DX 2I6 RECORDS 3-6 NORMALIZED VALUES 3 6 UE/UM,DYM/DX 2E13.6 RECORD 1. MAX. VALUES UE/UM,DYM/DX 2E13.6 RECORD 2. MIN. VALUES UE/UM,DYM/DX 2I6 RECORDS 3-6 NORMALIZED VALUES 4 30 Y/Y1/2,U-UE/UM-UE 2E13.6 RECORD 1. MAX. VALUES Y/Y1/2,U-UE/UM-UE 2E13.6 RECORD 2. MIN. VALUES Y/Y1/2,U-UE/UM-UE 2I6 RECORDS 3-30 NORMALIZED VALUES UE/UM = 0.38 5 31 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES UPVP/(UM-UE)**2 Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES UPVP/(UM-UE)**2 Y/Y1/2, 2I6 RECORDS 3-31 UPVP/(UM-UE)**2 NORMALIZED VALUES UE/UM = 0.38 6 31 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES (UP**2)**.5/(UM-UE) Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES (UP**2)**.5/(UM-UE) Y/Y1/2, 2I6 RECORDS 3-31 (UP**2)**.5/(UM-UE) NORMALIZED VALUES UE/UM = 0.38 7 32 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES (VP**2)**.5/(UM-UE) Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES (VP**2)**.5/(UM-UE) Y/Y1/2, 2I6 RECORDS 3-32 (VP**2)**.5/(UM-UE) NORMALIZED VALUES UE/UM = 0.38 8 33 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES (WP**2)**.5/(UM-UE) Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES (WP**2)**.5/(UM-UE) Y/Y1/2, 2I6 RECORDS 3-33 (WP**2)**.5/(UM-UE) NORMALIZED VALUES UE/UM = 0.38 9 59 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES UP**3/(UM-UE)**3 Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES UP**3/(UM-UE)**3 Y/Y1/2, 2I6 RECORDS 3-59 UP**3/(UM-UE)**3 NORMALIZED VALUES UE/UM = 0.38 10 50 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES UPVP**2/(UM-UE)**3 Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES UPVP**2/(UM-UE)**3 Y/Y1/2, 2I6 RECORDS 3-50 UPVP**2/(UM-UE)**3 NORMALIZED VALUES UE/UM = 0.38 11 80 Y/Y1/2, 2E13.6 RECORD 1. MAX. VALUES VP**3/(UM-UE)**3 Y/Y1/2, 2E13.6 RECORD 2. MIN. VALUES VP**3/(UM-UE)**3 Y/Y1/2, 2I6 RECORDS 3-80 VP**3/(UM-UE)**3 NORMALIZED VALUES UE/UM = 0.38 12 43 LOG((UM*YM)/KN), 2E13.6 RECORD 1. MAX. VALUES LOG(CF) LOG((UM*YM)/KN), 2E13.6 RECORD 2. MIN. VALUES LOG(CF) LOG((UM*YM)/KN), 2I6 RECORDS 3-43 LOG(CF) NORMALIZED VALUES UE/UM = 0.38 CASE# 0263, 2-D WALL JET ON LOGARITHMIC SPIRAL SURFACES 13 23 (Y1/2)/R, (Y1/2)/X 2E13.6 RECORD 1. MAX. VALUES (Y1/2)/R, (Y1/2)/X 2E13.6 RECORD 2. MIN. VALUES (Y1/2)/R, (Y1/2)/X 2I6 RECORD 3-23 NORMALIZED VALUES 14 86 Y/Y1/2, UPVP/UM**2 2E13.6 RECORD 1. MAX. VALUES Y/Y1/2, UPVP/UM**2 2E13.6 RECORD 2. MIN. VALUES Y/Y1/2, UPVP/UM**2 2I6 RECORD 3-86 NORMALIZED VALUES K = 2/3 15 84 Y/Y1/2, UP**2/UM**2 2E13.6 RECORD 1. MAX. VALUES Y/Y1/2, UP**2/UM**2 2E13.6 RECORD 2. MIN. VALUES Y/Y1/2, UP**2/UM**2 2I6 RECORD 3-84 NORMALIZED VALUES K = 2/3 16 60 Y/Y1/2, VP**2/UM**2 2E13.6 RECORD 1. MAX. VALUES Y/Y1/2, VP**2/UM**2 2E13.6 RECORD 2. MIN. VALUES Y/Y1/2, VP**2/UM**2 2I6 RECORD 3-60 NORMALIZED VALUES K = 2/3 17 75 Y/Y1/2, 2K/UM**2 2E13.6 RECORD 1. MAX. VALUES Y/Y1/2, 2K/UM**2 2E13.6 RECORD 2. MIN. VALUES Y/Y1/2, 2K/UM**2 2I6 RECORD 3-75 NORMALIZED VALUES K = 2/3 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 BRC$NJ /*SETUP TAPE=1,INPUT=(LIBRARY NUMBER ASSIGNED TO TAPE) // EXEC FORTCG //FORT.SYSIN DD * C TO READ FILE 2 OFF THE TAPE AND PRINT THE C MAXIMAS AND MINIMAS ON ALL THE VARIABLES AND C PRINT THE NORMALIZED VALUES OF ALL THE VARIABLES. 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