TALK=T;RUN(1,1) DISPLAY The problem concerns the steady fully-developed turbulent flow of a Bingham-plastic non-Newtonian fluid. This type of fluid remains rigid when the shearing stress is less than the yield stress tauy and flows somewhat like a Newtonian fluid when the shearing stress exceeds tauy. The turbulence is simulated by the high-Reynolds number k-e model plus wall functions, although the user might like to try the low-Reynolds-number k-e model because the laminar viscosity varies rapidly in the near-wall layer due to the rapid increase in the rate of strain as the wall is approached. ENDDIS AUTOPLOT USE file phi 5 da 1 w1 col9 1 msg Velocity (W1) profile msg Press RETURN to continue pause clear;da 1 ke col9 1 msg KE profile msg Press e to END ENDUSE ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(KE_PIPE FLOW OF A BINGHAM FLUID: T305 ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = F NX = 1 XULAST =1. XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 20 YVLAST =0.1 YFRAC(1)=0.083234 ;YFRAC(2)=0.144918 YFRAC(3)=0.200445 ;YFRAC(4)=0.252317 YFRAC(5)=0.30163 ;YFRAC(6)=0.348996 YFRAC(7)=0.3948 ;YFRAC(8)=0.43931 YFRAC(9)=0.482718 ;YFRAC(10)=0.525169 YFRAC(11)=0.566778 ;YFRAC(12)=0.607637 YFRAC(13)=0.647819 ;YFRAC(14)=0.687387 YFRAC(15)=0.726394 ;YFRAC(16)=0.764883 YFRAC(17)=0.802894 ;YFRAC(18)=0.84046 YFRAC(19)=0.877611 ;YFRAC(20)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =0.1 ZFRAC(1)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T NAME(7)=W1 ;NAME(12)=KE NAME(13)=EP ;NAME(146)=LEN1 NAME(147)=ENUT ;NAME(148)=GENK NAME(149)=BTAU ;NAME(150)=VISL * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(W1,Y,Y,N,N,N,Y) SOLUTN(KE,Y,Y,N,N,N,N) SOLUTN(EP,Y,Y,N,N,N,N) SOLUTN(LEN1,Y,N,N,N,N,Y) SOLUTN(ENUT,Y,N,N,N,N,Y) SOLUTN(GENK,Y,N,N,N,N,Y) SOLUTN(BTAU,Y,N,N,N,N,Y) SOLUTN(VISL,Y,N,N,N,N,Y) VISL = 150 VIST = 147 LEN1 = 146 ************************************************************ 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(W1,N,N,Y,Y,Y,Y) TERMS(KE,Y,N,Y,Y,Y,N) TERMS(EP,Y,N,Y,Y,Y,N) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F NEWENL = T NEWENT = T USOURC = 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 = GRND4 TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. EL1A =0. ;EL1B =0. ;EL1C =0. ENUL = GRND5 ;ENUT = GRND3 ENULA =6.666667E-06 ;ENULB =1.666667E-04 ;ENULC =0. ;ENULD =0. ENULE =0. ;ENULF =0. ;ENULG =0. IENULA = 0 ;IENULB = 0 ENUTA =0. ;ENUTB =0. ;ENUTC =0. IENUTA = 0 PRNDTL(W1)=1. ;PRNDTL(KE)=1. PRNDTL(EP)=1. PRT(W1)=1. ;PRT(KE)=1. PRT(EP)=1.314 CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(W1)=1. ;FIINIT(KE)=1.0E-10 FIINIT(EP)=1.0E-10 ;FIINIT(LEN1)=1.0E-10 FIINIT(ENUT)=1.0E-10 ;FIINIT(GENK)=1.0E-10 FIINIT(BTAU)=1.0E-10 ;FIINIT(VISL)=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(KESOURCE,PHASEM, 0, 0, 0, 0, 0, 0, 1, 1) COVAL(KESOURCE,KE , GRND4 , GRND4 ) COVAL(KESOURCE,EP , GRND4 , GRND4 ) PATCH(WALLN ,NWALL , 1, 1, 20, 20, 1, 1, 1, 1) COVAL(WALLN ,W1 , GRND2 ,0. ) COVAL(WALLN ,KE , GRND2 , GRND2 ) COVAL(WALLN ,EP , GRND2 , GRND2 ) PATCH(FDFW1DP ,VOLUME, 1, 1, 1, 20, 1, 1, 1, 1) COVAL(FDFW1DP ,W1 ,5.0E-03 , GRND1 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 10 ;ISWC1 = 1 LITHYD = 50 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(W1)=10 ;LITER(KE)=20 LITER(EP)=20 ENDIT(W1)=1.0E-03 ;ENDIT(KE)=1.0E-03 ENDIT(EP)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(W1,FALSDT,0.1) RELAX(KE,FALSDT,0.1) RELAX(EP,FALSDT,0.1) RELAX(LEN1,LINRLX,1.) RELAX(ENUT,LINRLX,1.) RELAX(GENK,LINRLX,1.) RELAX(BTAU,LINRLX,1.) RELAX(VISL,LINRLX,1.) KELIN = 0 OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06 VARMAX(KE)=1.0E+10 ;VARMIN(KE)=1.0E-10 VARMAX(EP)=1.0E+10 ;VARMIN(EP)=1.0E-10 VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10 VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10 VARMAX(GENK)=1.0E+10 ;VARMIN(GENK)=-1.0E+10 VARMAX(BTAU)=1.0E+10 ;VARMIN(BTAU)=-1.0E+10 VARMAX(VISL)=1.0E+10 ;VARMIN(VISL)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND DWDY = T GENK = T FDFSOL = 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(W1,Y,N,Y,Y,Y,Y) OUTPUT(KE,Y,N,Y,Y,Y,Y) OUTPUT(EP,Y,N,Y,Y,Y,Y) OUTPUT(LEN1,Y,N,Y,N,N,N) OUTPUT(ENUT,Y,N,Y,N,N,N) OUTPUT(GENK,Y,N,Y,N,N,N) OUTPUT(BTAU,Y,N,Y,N,N,N) OUTPUT(VISL,Y,N,N,Y,Y,Y) WALPRN = T ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 20 ;IZMON = 1 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = -1 UWATCH = T ;USTEER = T HIGHLO = F ************************************************************ Group 23.Field Print-Out & Plot Control NPRINT = 100000 ;NUMCLS = 5 NYPRIN = 1 ;IYPRF = 1 ;IYPRL = 10000 IPLTF = 1 ;IPLTL = -1 ;NPLT = 2 ISWPRF = 1 ;ISWPRL = 100000 ITABL = 3 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.4 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 No PATCHes yet used for this Group ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP