TALK=T;RUN(1,1) photon use p parphi 20 1 msg radial (ie vertical) scale has been enlarged 20-fold msg velocity vectors vec x 1 sh;pause;vec off;red msg effective-viscosity contours con enut x 1 fi;0.1;pause;con off;red msg w1 contours con w1 x 1 fi;0.1;pause;con off;red msg temperature contours con temperature x 1 fi;0.1;pause;con off;red enduse DISPLAY The problem considered is turbulent flow in a smooth-walled pipe, with a wall temperature at a uniform value below that of the entering fluid. The calculation is continued to a distance of 30 diameters from the entrance, to enable the velocity and temperature profiles to attain unchanging shapes. The Prandtl mixing-length model is used, with Nikuradze's formula for the length scale: 2(Lm/D) = 0.14 - 0.08(2y/D)**2 - 0.06(2y/D)**4 where y is the normal distance from the channel wall. Wall at temperature TWALL ///////////////////////////////////////////////////// Constant ----------------------------------------------------- specified ---> -> mass-flux,---> --> velocity ---> ---> and - - - - - - - - - - -Symmetry line- - - - - - - - - - temperature ^ |-------> z-direction ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(Pipe Flow K-L Model;Parabolic ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 173 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = F NX = 1 XULAST =0.1 XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 30 YVLAST =0.5 YFRAC(1)=0.078012 ;YFRAC(2)=0.131199 YFRAC(3)=0.177828 ;YFRAC(4)=0.22065 YFRAC(5)=0.260847 ;YFRAC(6)=0.29907 YFRAC(7)=0.335724 ;YFRAC(8)=0.371088 YFRAC(9)=0.40536 ;YFRAC(10)=0.438691 YFRAC(11)=0.471198 ;YFRAC(12)=0.502973 YFRAC(13)=0.534093 ;YFRAC(14)=0.564618 YFRAC(15)=0.594604 ;YFRAC(16)=0.624093 YFRAC(17)=0.653124 ;YFRAC(18)=0.681732 YFRAC(19)=0.709944 ;YFRAC(20)=0.737788 YFRAC(21)=0.765286 ;YFRAC(22)=0.792458 YFRAC(23)=0.819323 ;YFRAC(24)=0.845897 YFRAC(25)=0.872196 ;YFRAC(26)=0.898233 YFRAC(27)=0.924021 ;YFRAC(28)=0.949571 YFRAC(29)=0.974894 ;YFRAC(30)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = T NZ = 40 ZWLAST =30. ZFRAC(1)=0.025 ;ZFRAC(2)=0.05 ZFRAC(3)=0.075 ;ZFRAC(4)=0.1 ZFRAC(5)=0.125 ;ZFRAC(6)=0.15 ZFRAC(7)=0.175 ;ZFRAC(8)=0.2 ZFRAC(9)=0.225 ;ZFRAC(10)=0.25 ZFRAC(11)=0.275 ;ZFRAC(12)=0.3 ZFRAC(13)=0.325 ;ZFRAC(14)=0.35 ZFRAC(15)=0.375 ;ZFRAC(16)=0.4 ZFRAC(17)=0.425 ;ZFRAC(18)=0.45 ZFRAC(19)=0.475 ;ZFRAC(20)=0.5 ZFRAC(21)=0.525 ;ZFRAC(22)=0.55 ZFRAC(23)=0.575 ;ZFRAC(24)=0.6 ZFRAC(25)=0.625 ;ZFRAC(26)=0.65 ZFRAC(27)=0.675 ;ZFRAC(28)=0.7 ZFRAC(29)=0.725 ;ZFRAC(30)=0.75 ZFRAC(31)=0.775 ;ZFRAC(32)=0.8 ZFRAC(33)=0.825 ;ZFRAC(34)=0.85 ZFRAC(35)=0.875 ;ZFRAC(36)=0.9 ZFRAC(37)=0.925 ;ZFRAC(38)=0.95 ZFRAC(39)=0.975 ;ZFRAC(40)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T NAME(1)=P1 ;NAME(5)=V1 NAME(7)=W1 ;NAME(12)=KE NAME(14)=TEMP ;NAME(148)=EPKE NAME(149)=LEN1 ;NAME(150)=ENUT * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(P1,Y,Y,N,N,N,Y) SOLUTN(V1,Y,Y,N,N,N,Y) SOLUTN(W1,Y,Y,N,N,N,Y) SOLUTN(KE,Y,Y,N,N,N,N) SOLUTN(TEMP,Y,Y,N,N,N,Y) SOLUTN(EPKE,Y,N,N,N,N,N) SOLUTN(LEN1,Y,N,N,N,N,Y) SOLUTN(ENUT,Y,N,N,N,N,Y) VIST = 150 LEN1 = 149 ************************************************************ Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1-built-in source 2-convection 3-diffusion 4-transient * 5-first phase variable 6-interphase transport TERMS(P1,Y,Y,Y,N,Y,Y) TERMS(V1,Y,Y,Y,Y,Y,Y) TERMS(W1,Y,Y,Y,Y,Y,Y) TERMS(KE,Y,Y,Y,Y,Y,Y) TERMS(TEMP,N,Y,Y,Y,Y,Y) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F NEWENT = T ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1 ************************************************************ Group 9. Properties used if PRPS is not stored, and where PRPS = -1.0 if it is! RHO1 =1. ;TMP1 =0. ;EL1 = GRND8 TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. EL1A =0.07 ;EL1B =-0.16 ;EL1C =-0.48 ENUL =2.5E-06 ;ENUT = GRND3 ENUTA =0. ;ENUTB =0. ;ENUTC =0. IENUTA = 0 PRNDTL(V1)=1. ;PRNDTL(W1)=1. PRNDTL(KE)=1. ;PRNDTL(TEMP)=0.7 PRT(V1)=1. ;PRT(W1)=1. PRT(KE)=1. ;PRT(TEMP)=0.86 CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(P1)=1.0E-10 ;FIINIT(V1)=1.0E-10 FIINIT(W1)=1. ;FIINIT(KE)=2.0E-04 FIINIT(TEMP)=1.0E-10 ;FIINIT(EPKE)=1.0E-10 FIINIT(LEN1)=1.0E-10 ;FIINIT(ENUT)=1.0E-10 No PATCHes yet used for this Group INIADD = F FSWEEP = 1 NAMFI =CHAM ************************************************************ Group 12. Patchwise adjustment of terms Patches for this group are printed with those for Group 13. Their names begin either with GP12 or & ************************************************************ Group 13. Boundary & Special Sources PATCH(WFUN ,NWALL , 1, 1, 30, 30, 1, 40, 1, 1) COVAL(WFUN ,W1 , GRND2 ,0. ) COVAL(WFUN ,KE , GRND2 , GRND2 ) COVAL(WFUN ,TEMP, GRND2 ,0. ) PATCH(IN ,LOW , 1, 1, 1, 30, 1, 1, 1, 1) COVAL(IN ,P1 , FIXFLU ,1. ) COVAL(IN ,V1 ,0. ,0. ) COVAL(IN ,W1 ,0. ,1. ) COVAL(IN ,KE ,0. ,2.0E-04 ) COVAL(IN ,TEMP,0. ,1. ) PATCH(KESOURCE,PHASEM, 0, 0, 0, 0, 0, 0, 1, 1) COVAL(KESOURCE,KE , GRND4 , GRND4 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB IPARAB = 0 AZPH =0. ;PBAR =0. ************************************************************ Group 15. Terminate Sweeps LSWEEP = 1 ;ISWC1 = 1 LITHYD = 20 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-02 ************************************************************ Group 16. Terminate Iterations LITER(P1)=20 ;LITER(V1)=10 LITER(W1)=10 ;LITER(KE)=20 LITER(TEMP)=20 ENDIT(P1)=1.0E-03 ;ENDIT(V1)=1.0E-03 ENDIT(W1)=1.0E-03 ;ENDIT(KE)=1.0E-03 ENDIT(TEMP)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(P1,LINRLX,1.) RELAX(V1,FALSDT,1.) RELAX(W1,FALSDT,1.) RELAX(KE,LINRLX,0.5) RELAX(TEMP,FALSDT,1.0E+09) RELAX(EPKE,LINRLX,1.) RELAX(LEN1,LINRLX,1.) RELAX(ENUT,LINRLX,0.25) KELIN = 3 OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10 VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06 VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06 VARMAX(KE)=1.0E+10 ;VARMIN(KE)=1.0E-10 VARMAX(TEMP)=1.0E+10 ;VARMIN(TEMP)=-1.0E+10 VARMAX(EPKE)=1.0E+10 ;VARMIN(EPKE)=-1.0E+10 VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10 VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND DWDY = T PARSOL = F ISG62 = 1 SPEDAT(SET,GXMONI,PLOTALL,L,T) ************************************************************ Group 20. Preliminary Printout ************************************************************ Group 21. Print-out of Variables INIFLD = F ;SUBWGR = F * Y in OUTPUT argument list denotes: * 1-field 2-correction-eq. monitor 3-selective dumping * 4-whole-field residual 5-spot-value table 6-residual table OUTPUT(P1,Y,N,Y,Y,Y,Y) OUTPUT(V1,Y,N,Y,Y,Y,Y) OUTPUT(W1,Y,N,Y,Y,Y,Y) OUTPUT(KE,Y,Y,Y,N,Y,Y) OUTPUT(TEMP,Y,Y,Y,N,Y,Y) OUTPUT(EPKE,Y,N,Y,N,N,N) OUTPUT(LEN1,Y,N,Y,N,N,N) OUTPUT(ENUT,Y,N,Y,N,N,N) WALPRN = T ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 27 ;IZMON = 1 NPRMON = 1 ;NPRMNT = 1 ;TSTSWP = 19 UWATCH = T ;USTEER = T HIGHLO = F ************************************************************ Group 23.Field Print-Out & Plot Control NPRINT = 100000 ;NUMCLS = 5 NYPRIN = -1 ;IYPRF = 1 ;IYPRL = 10000 NZPRIN = -1 ;IZPRF = 1 ;IZPRL = 10000 IPLTF = 1 ;IPLTL = -1 ;NPLT = 1 ISWPRF = 1 ;ISWPRL = 100000 ITABL = 1 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.4 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 PATCH(IZEQNZ ,PROFIL, 1, 1, 1, 30, 40, 40, 1, 1) PLOT(IZEQNZ ,W1 ,0. ,0. ) PLOT(IZEQNZ ,KE ,0. ,20. ) PLOT(IZEQNZ ,LEN1,0. ,0. ) PATCH(LONGPLOT,PROFIL, 1, 40, 30, 30, 3, 40, 1, 1) PLOT(LONGPLOT,W1 ,0. ,0. ) PLOT(LONGPLOT,KE ,0. ,0. ) PLOT(LONGPLOT,TEMP,0. ,1. ) PATCH(LONGPLT2,PROFIL, 1, 1, 1, 1, 3, 40, 1, 1) PLOT(LONGPLT2,W1 ,0. ,0. ) PLOT(LONGPLT2,KE ,0. ,0. ) PLOT(LONGPLT2,TEMP,0. ,1. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM IDISPA = 2 ;IDISPB = 0 ;IDISPC = 0 STOP