----------------- FILE NUMBER 226----------------- 1. FLOW TITLE: CASE 0251; NLR INFINITE SWEPT WING EXPERIMENT. 2. REVISION DATE: OCTOBER 30, 1981. 3. EVALUATORS: HUMPHREYS, D.A., FFA, STOCKHOLM, VAN DEN BERG, B., NLR, AMSTERDAM, HOLLAND. 4. EXPERIMENT LOCATION AND DATE: 3*2 M LOW SPEED WIND TUNNEL, NLR, AMSTERDAM, 1971-1974. 5. ABSTRACT OF EXPERIMENT: THREE-DIMENSIONAL TURBULENT BOUNDARY LAYER MEASUREMENTS WERE CARRIED OUT ON A 35 DEGREES SWEPT FLAT PLATE, SPANNING THE 3M WIDE TUNNEL TEST SECTION. A PRESSURE DISTRIBUTION WAS INDUCED ON THE PLATE BY AN EQUALLY SWEPT BODY ABOVE THE PLATE. AN INFINITE SWEPT WING CONDITION WAS SIMULATED WITH GOOD ACCURACY THROUGH SUITABLY SHAPED SIDE WALLS. IN THE FIRST PART OF THE EXPERIMENT (REF.1) THE MAGNITUDE AND YAW DIRECTION OF THE VELOCITY IN THE BOUNDARY LAYER AND THE SKIN FRICTION WERE MEASURED AT 10 STATIONS, SITUATED AT INTERVALS OF 0.1M. IN THE SECOND PART (REF.2) THE TURBULENCE STRESS TENSOR WAS DETERMINED AT 8 STATIONS. THESE STATIONS ARE SITUATED 0.025M UPSTREAM OF THE CORRESPONDING MEAN VELOCITY MEASUREMENT STATIONS. CONSEQUENTLY, THERE ARE STATIONS WITH MEAN VELOCITY DATA ONLY (STA.2,3,4,6,8,10,12,14,16,18) AND STATIONS WITH TURBULENCE DATA ONLY (STA.1,5,7,9,11,13,15,17). THE BOUNDARY LAYER AT THE INITIAL STATION, SITUATED ABOUT 0.5M BEHIND THE FLAT PLATE LEADING EDGE, IS VERY NEARLY A TWO-DIMENSIONAL CONSTANT-PRESSURE TURBULENT BOUNDARY LAYER. THREE-DIMENSIONAL SEPARATION OCCURS BETWEEN STA.14 AND 15. IN THE BOUNDARY LAYER CALCULATIONS THE INFINITE SWEPT WING CONDITION MAY BE ASSUMED (REF.3). CALCULATIONS SHOULD EMPLOY THE SURFACE PRESSURE DATA IN THE MEASUREMENT PLANE. AS LITTLE IS CHANGING BETWEEN STA.1 AND 2, IT IS PROPOSED TO START CALCULATIONS AT STA.2, USING THE MEASURED TURBULENCE DATA AT STA.1. DUE TO THE SINGULARITY AT SEPARATION, CALCULATION RESULTS NEAR THE SEPARATION LINE MAY BE VERY SENSITIVE TO E.G. THE BOUNDARY CONDITIONS. THEREFORE IT IS NOT SENSIBLE IN GENERAL TO EXTEND COMPARISONS BETWEEN CALCULATIONS AND MEASUREMENTS BEYOND STA.12. DEVIATIONS BETWEEN CALCULATED AND EXPERIMENTAL RESULTS UPSTREAM OF AND AT STA.12 ARE SIGNIFICANT, HOWEVER (REF.4). THE EXPERIMENTAL RESULTS INDICATE A MARKED DECREASE OF THE MIXING LENGTH IN THE THREE-DIMENSIONAL BOUNDARY LAYER AND AN APPRECIABLE DIFFERENCE BETWEEN THE DIRECTIONS OF THE TURBULENT SHEAR STRESS AND VELOCITY GRADIENT VECTOR. 6. REFERENCES: 1. VAN DEN BERG, B., ELSENAAR, A., "MEASUREMENTS IN A THREE- DIMENSIONAL INCOMPRESSIBLE TURBULENT BOUNDARY LAYER UNDER INFINITE SWEPT WING CONDITIONS". NLR TR 729092 U (1972). 2. ELSENAAR, A., BOELSMA, S.H., "MEASUREMENTS OF THE REYNOLDS STRESS TENSOR IN A THREE-DIMENSIONAL TURBULENT BOUNDARY LAYER UNDER INFINITE SWEPT WING CONDITIONS". NLR TR 74095 U (1974). 3. VAN DEN BERG, B., ELSENAAR, A., LINDHOUT, J.P.F., WESSELING, P., "MEASUREMENTS IN AN INCOMPRESSIBLE THREE-DIMENSIONAL TURBULENT BOUNDARY LAYER UNDER INFINITE SWEPT WING CONDITIONS AND A COMPARISON WITH THEORY". JOURNAL OF FLUID MECH., VOL. 70, PAGE 127(1975). 4. ELSENAAR, A., VAN DEN BERG, B., LINDHOUT, J.P.F., "THREE- DIMENSIONAL SEPARATION OF AN INCOMPRESSIBLE TURBULENT BOUNDARY LAYER ON AN INFINITE SWEPT WING". AGARD CONF. PROC. NO. 168 (1975). 5. VAN DEN BERG, B., "INVESTIGATIONS OF THREE- DIMENSIONAL INCOMPRESSIBLE TURBULENT BOUNDARY LAYERS". NLR TR 76001 U (1976). 7. INSTRUMENTATION: MEAN VELOCITY DATA WERE OBTAINED WITH A SMALL SINGLE-HOT-WIRE PROBE, ROTATABLE ABOUT AN AXIS NORMAL TO THE WALL(REF.1). VELOCITY YAW DIRECTION WAS FOUND BY ROTATION OF THE PROBE AND SUBSEQUENT DETERMINATION OF THE SYMMETRY LINE. CALIBRATIONS WERE MADE OUTSIDE THE BOUNDARY LAYER AT FREQUENT TIME INTERVALS. TURBULENCE MEASUREMENTS WERE DONE USING AN X-WIRE PROBE, WITH THE PROBE AXIS PARALLEL TO THE WALL IN LOCAL YAW DIRECTION (REF.2). THE PROBE WAS ROTATED ABOUT ITS AXIS IN STEPS OF 45 DEGREES. THE PROBE WAS CALIBRATED FOR RESPONSE TO VELOCITY MAGNITUDE AND DIRECTION IN A SEPARATE TEST RIG. CALIBRATION CHECKS WERE MADE OUTSIDE THE BOUNDARY LAYER AT FREQUENT TIME INTERVALS. SKIN FRICTION MAGNITUDE AND DIRECTION WERE DETERMINED WITH ROTATABLE STANTON TUBES OF 0.1 AND 0.2 MM HEIGHT. OIL FLOW OBSERVATIONS INDICATE THAT THE THUS FOUND SKIN FRICTION ANGLES, BETAW, MAY BE UNDERESTIMATED UP TO 2 DEGREES (REF.5.) 8. EXPERIMENTAL PARAMETERS: UNIT RE-NR, UREF/NU = 2.42 E6 (1/M) MACH NR, UREF/A = 0.1 9. MEASURED VARIABLES: X - DISTANCE FROM PLATE LEADING EDGE IN MEASUREMENT PLANE (M). NOTE: ANGLE BETWEEN X - AXIS AND PLATE LEADING EDGE = 55 DEGREES Y - DISTANCE FROM WALL (M) CP - WALL STATIC PRESSURE COEFFICIENT, (P-PREF)/(RO*QREF) RO - DENSITY QREF - REFERENCE KINETIC DYNAMIC HEAD, UREF**2/2 (M**2/S**2) QE - EXTERNAL KINETIC DYNAMIC HEAD, UE**2/2 (M**2/S**2) UREF - REFERENCE VELOCITY, EXTERNAL VELOCITY AT STA.2 (M/S) UE - EXTERNAL VELOCITY (M/S) U - MEAN STREAMWISE VELOCITY COMPONENT (M/S) W - MEAN CROSSWISE VELOCITY COMPONENT (M/S) ALPHA - EXTERNAL STREAMLINE ANGLE, RELATIVE TO X - AXIS (DEGREES) BETAW - SKIN FRICTION ANGLE, RELATIVE TO EXTERNAL STREAMLINE (DEGREES) CF - SKIN FRICTION COEFFICIENT, 2*TAUW/(RO*UE**2) TAUW - SKIN FRICTION U1 - FLUCTUATING STREAMWISE VELOCITY COMPONENT (M/S) V1 - FLUCTUATING NORMAL VELOCITY COMPONENT (M/S) W1 - FLUCTUATING CROSSWISE VELOCITY COMPONENT (M/S) NOTE : U1,V1 AND W1 ARE GIVEN IN THE EXTERNAL STREAMLINE COORDINATE SYSTEM, AS DISTINCT FROM PREVIOUSLY PUBLISHED DATA 10. MEASUREMENT UNCERTAINTY: (95 PERCENT CONFIDENCE LEVEL) Y = + OR - 2 E-5 (M) CP = + OR - 2 E-3 U/UE,W/UE = + OR - 1 E-2 UE/UREF = + OR - 3 E-3 ALPHA = + OR - 0.2 (DEGREES) BETAW = + OR - 1 (DEGREES) (PLUS IN REGIONS WITH LARGE CROSS FLOW A PROBABLE UNDERESTIMATION UP TO 2 DEGREES) CF = + OR - 1.5 E-4 U1**2/QE, V1**2/QE, W1**2/QE, V1*W1/QE, W1*U1/QE, U1*V1/QE = + OR - 2 E-4, OR + OR - 10 PERCENT, WHICHEVER IS THE GREATEST 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 2 28 STATION 2: X= .520 M, UE/UREF=1.000, ALFA= 4.00, CF= .003155, BETAW= 1.50 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-28 NORMALIZED VALUES 3 30 STATION 3: X= .620 M, UE/UREF= .996, ALFA= 4.30, CF= .003200, BETAW= 2.80 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-30 NORMALIZED VALUES 4 31 STATION 4: X= .720 M, UE/UREF= .966, ALFA= 5.70, CF= .002895, BETAW= 4.55 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-31 NORMALIZED VALUES 5 33 STATION 6: X= .820 M, UE/UREF= .933, ALFA= 7.20, CF= .002655, BETAW= 8.65 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-33 NORMALIZED VALUES 6 34 STATION 8: X= .920 M, UE/UREF= .897, ALFA= 9.60, CF= .002310, BETAW=13.10 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-34 NORMALIZED VALUES 7 37 STATION 10: X=1.020 M, UE/UREF= .867, ALFA=11.30, CF= .001970, BETAW=20.90 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-37 NORMALIZED VALUES 8 41 STATION 12: X=1.120 M, UE/UREF= .846, ALFA=13.80, CF= .001695, BETAW=27.00 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-41 NORMALIZED VALUES 9 45 STATION 14: X=1.220 M, UE/UREF= .830, ALFA=15.00, CF= .001500, BETAW=35.40 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-45 NORMALIZED VALUES 10 48 STATION 16: X=1.320 M, UE/UREF= .821, ALFA=16.10, CF= .001530, BETAW=39.20 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-48 NORMALIZED VALUES 11 52 STATION 18: X=1.420 M, UE/UREF= .811, ALFA=17.30, CF= .001895, BETAW=39.85 Y,U/UE,W/UE 3E13.6 RECORD 1 MAXIMUM VALUES Y,U/UE,W/UE 3E13.6 RECORD 2 MINIMUM VALUES Y,U/UE,W/UE 3I6 RECORDS 3-52 NORMALIZED VALUES 12 21 STATION 1: X= .495 M, UE/UREF=1.000, ALFA= 4.00, CF= .003155, BETAW= 1.50 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-21 NORMALIZED VALUES 13 20 STATION 5: X= .795 M, UE/UREF= .941, ALFA= 6.80, CF= .002715, BETAW= 7.63 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-20 NORMALIZED VALUES 14 24 STATION 7: X= .895 M, UE/UREF= .906, ALFA= 9.00, CF= .002396, BETAW=11.99 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-24 NORMALIZED VALUES 15 28 STATION 9: X= .995 M, UE/UREF= .875, ALFA=10.90, CF= .002055, BETAW=18.95 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-28 NORMALIZED VALUES 16 32 STATION 11: X=1.095 M, UE/UREF= .851, ALFA=13.20, CF= .001764, BETAW=27.00 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-32 NORMALIZED VALUES 17 36 STATION 13: X=1.195 M, UE/UREF= .834, ALFA=14.70, CF= .001549, BETAW=33.80 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-36 NORMALIZED VALUES 18 40 STATION 15: X=1.295 M, UE/UREF= .823, ALFA=15.80, CF= .001520, BETAW=38.30 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-40 NORMALIZED VALUES 19 40 STATION 17: X=1.395 M, UE/UREF= .814, ALFA=16.90, CF= .001800, BETAW=39.50 (UE, ALFA, BETAW, CF FROM LINEAR INTERPOLATION) Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 1 MAXIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 2 MAXIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE 4E13.6 RECORD 3 MINIMUM VALUES V1*W1/QE,U1*W1/QE, U1*V1/QE 3E13.6 RECORD 4 MINIMUM VALUES Y,U1**2/QE,V1**2/QE, W1**2/QE V1*W1/QE,U1*W1/QE, U1*V1/QE 7I6 RECORDS 5-40 NORMALIZED VALUES 20 25 DETAILED SURFACE PRESSURE DISTRIBUTION X,CPW 2E13.6 RECORD 1 MAXIMUM VALUES X,CPW 2E13.6 RECORD 2 MINIMUM VALUES X,CPW 2I6 RECORDS 3-25 NORMALIZED VALUES 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. REAL Y(40), U/UE(40), W/UE(40) READ (23,30) YMAX, UMAX, WMAX READ (23,30) YMIN, UMIN, WMIN C SET N = THE NUMBER OF RECORDS IN THE FILE MINUS 2 N = 28 - 2 DO 10 I = 1,N 10 READ (23,40) Y(I), U/UE(I), W/UE(I) WRITE (6,50) YMAX, UMAX, WMAX WRITE (6,50) YMIN, UMIN, WMIN DO 20 I = 1,N 20 WRITE (6,60) Y(I), U/UE(I), W/UE(I) 30 FORMAT(3E13.6) 40 FORMAT(3I6) 50 FORMAT(2X,3E13.6) 60 FORMAT(2X,3I6) 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 226------------- ----------------- FILE NUMBER 227----------------- .160100E-01 .100300E+01 .190000E-01 .150000E-03 .370000E+00 .200000E-02 0 0 7059 32 1106 5294 95 2338 6471 158 3017 5882 277 3728 7059 410 4186 7059 536 4566 7647 662 4803 7647 908 5229 8824 1166 5703 9412 1475 6019 8824 1791 6288 8824 2112 6667 10000 2421 6888 8824 3058 7488 9412 3689 7994 5882 4313 8515 6471 4950 8784 5294 5580 9115 4706 6211 9447 2941 6841 9747 588 7465 9826 1765 8102 10000 1176 8733 9874 588 9363 10000 0 10000 9889 588 -------------- END OF FILE NUMBER 227------------- ----------------- FILE NUMBER 228----------------- .200000E-01 .100700E+01 .250000E-01 .150000E-03 .356000E+00 .200000E-02 0 0 4348 25 1029 3913 76 2227 6522 126 2857 6522 227 3502 7826 327 3978 9130 428 4240 9130 524 4547 8696 736 4992 8261 932 5346 9130 1184 5684 10000 1436 6022 9130 1693 6329 8261 1940 6667 8261 2443 6959 7826 2947 7573 7391 3451 7911 5652 3955 8310 3913 4458 8602 3913 4962 9032 4348 5466 9263 2609 5970 9555 1304 6474 9631 1304 6977 9816 2174 7481 9754 1304 7985 9969 0 8992 9800 0 10000 10000 0 -------------- END OF FILE NUMBER 228------------- ----------------- FILE NUMBER 229----------------- .220000E-01 .100400E+01 .420000E-01 .150000E-03 .368000E+00 .200000E-02 0 0 8000 23 928 8500 64 1808 10000 114 2453 9250 206 3066 9500 297 3522 9250 389 3836 9750 481 4057 9250 668 4528 9500 847 4796 9000 1080 5173 9250 1309 5472 8500 1529 5881 8000 1762 6038 7750 2220 6604 7000 2673 7028 6250 3140 7547 5750 3593 7814 5250 4055 8270 4500 4508 8538 3500 4966 8899 3250 5423 9088 2500 5876 9481 2000 6343 9560 250 6792 9733 1250 7254 9796 750 8169 9906 250 9085 9921 0 10000 10000 500 -------------- END OF FILE NUMBER 229------------- ----------------- FILE NUMBER 230----------------- .260100E-01 .100700E+01 .680000E-01 .150000E-03 .319000E+00 0. 0 0 6765 19 698 7206 58 1701 8824 93 2282 9412 174 2936 10000 251 3270 10000 333 3547 10000 406 3706 10000 565 4113 9706 715 4491 9706 913 4724 9265 1102 4956 8971 1292 5262 8824 1493 5480 8529 1875 5959 7941 2262 6395 7059 2653 6759 6471 3028 7151 5882 3422 7384 5147 3805 7762 4118 4196 8038 3529 4582 8416 3235 4969 8605 2500 5360 9012 2206 5739 9041 1618 6129 9346 1176 6906 9578 735 7680 9855 294 8449 9811 294 9223 10000 294 10000 9884 0 -------------- END OF FILE NUMBER 230------------- ----------------- FILE NUMBER 231----------------- .300000E-01 .100500E+01 .108000E+00 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