TALK=T;RUN(1,1) DISPLAY The case considered is the bubble column studied experimentally by Hills [Instn.Chem.Engrs., Vol.52, p1, 1974], which has a diameter of 0.138m and a height of 1.37m. The column is initially filled with water, and air enters uniformly at the bottom with a superficial velocity of 0.038m/s. After about 25s steady-state conditions are obtained in which clockwise liquid circulation is observed, with upflow at the column centre and downflow at the outer wall. The task is to predict the gas holdup in the column, and to compare the predicted void-fraction and vertical liquid-velocity radial profiles at z=0.6m(i.e IZ=9) with the measurements. The calculation may be performed with one of 3 turbulence models, i.e. the Petersen SGS model, the Rice- Geary model, or a modified k-e model which accounts for bubble- induced turbulence production. The two-phase model accounts for interfacial drag, lift, pressure and virtual-mass forces. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(2D 2-PHASE HILLS BUBBLE COLUMN ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = F * Set overall time and no. of steps TFIRST =0. ;TLAST =0.25 FSTEP = 1 ;LSTEP = 5 TFRAC(1)=0.2 ;TFRAC(2)=0.4 TFRAC(3)=0.6 ;TFRAC(4)=0.8 TFRAC(5)=1. ************************************************************ Group 3. X-Direction Grid Spacing CARTES = F NX = 1 XULAST =0.1 XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 10 YVLAST =0.069 YFRAC(1)=0.1 ;YFRAC(2)=0.2 YFRAC(3)=0.3 ;YFRAC(4)=0.4 YFRAC(5)=0.5 ;YFRAC(6)=0.6 YFRAC(7)=0.7 ;YFRAC(8)=0.8 YFRAC(9)=0.9 ;YFRAC(10)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 20 ZWLAST =1.37 ZFRAC(1)=0.019905 ;ZFRAC(2)=0.052531 ZFRAC(3)=0.09267 ;ZFRAC(4)=0.138629 ZFRAC(5)=0.189465 ;ZFRAC(6)=0.244558 ZFRAC(7)=0.303464 ;ZFRAC(8)=0.365844 ZFRAC(9)=0.431429 ;ZFRAC(10)=0.5 ZFRAC(11)=0.568571 ;ZFRAC(12)=0.634156 ZFRAC(13)=0.696536 ;ZFRAC(14)=0.755442 ZFRAC(15)=0.810535 ;ZFRAC(16)=0.861371 ZFRAC(17)=0.90733 ;ZFRAC(18)=0.947469 ZFRAC(19)=0.980095 ;ZFRAC(20)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = F EQUVEL = F NAME(1)=P1 ;NAME(5)=V1 NAME(6)=V2 ;NAME(7)=W1 NAME(8)=W2 ;NAME(9)=R1 NAME(10)=R2 ;NAME(12)=KE NAME(13)=EP ;NAME(138)=IPSW NAME(139)=IPSV ;NAME(140)=LISW NAME(141)=LISV ;NAME(142)=VMSV NAME(143)=VMSW ;NAME(144)=WEB NAME(145)=REYN ;NAME(146)=CD NAME(147)=LEN1 ;NAME(148)=ENUT NAME(149)=CFIP ;NAME(150)=VREL * 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,Y,N,N,Y) SOLUTN(V1,Y,Y,N,N,N,N) SOLUTN(V2,Y,Y,N,N,N,N) SOLUTN(W1,Y,Y,N,N,N,N) SOLUTN(W2,Y,Y,N,N,N,N) SOLUTN(R1,Y,Y,N,N,N,N) SOLUTN(R2,Y,Y,N,N,N,N) SOLUTN(KE,Y,Y,N,N,N,N) SOLUTN(EP,Y,Y,N,N,N,N) SOLUTN(IPSW,Y,N,N,N,N,N) SOLUTN(IPSV,Y,N,N,N,N,N) SOLUTN(LISW,Y,N,N,N,N,N) SOLUTN(LISV,Y,N,N,N,N,N) SOLUTN(VMSV,Y,N,N,N,N,Y) SOLUTN(VMSW,Y,N,N,N,N,Y) SOLUTN(WEB,Y,N,N,N,N,Y) SOLUTN(REYN,Y,N,N,N,N,Y) SOLUTN(CD,Y,N,N,N,N,Y) SOLUTN(LEN1,Y,N,N,N,N,Y) SOLUTN(ENUT,Y,N,N,N,N,Y) SOLUTN(CFIP,Y,N,N,N,N,Y) SOLUTN(VREL,Y,N,N,N,N,Y) VIST = 148 LEN1 = 147 ************************************************************ 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(V2,Y,Y,Y,Y,N,Y) TERMS(W1,Y,Y,Y,Y,Y,Y) TERMS(W2,Y,Y,Y,Y,N,Y) TERMS(R1,Y,Y,Y,Y,Y,Y) TERMS(R2,Y,Y,Y,Y,N,Y) TERMS(KE,N,Y,Y,Y,Y,N) TERMS(EP,N,Y,Y,Y,Y,N) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F NEWENT = T EQDVDP = F ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1 ************************************************************ Group 9. Properties used if PRPS is not stored, and where PRPS = -1.0 if it is! RHO1 =1000. ;TMP1 =0. EL1 = GRND4 TSURR =0. ;TEMP0 =0. PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. EL1A =1.0E-02 ;EL1B =0. EL1C =0. RHO2 =1.23 ;TMP2 =0. EL2 =0. DVO2DT =0. ;DRH2DP =0. ENUL =1.0E-06 ;ENUT = GRND3 ENUTA =0. ;ENUTB =0. ENUTC =0. IENUTA = 0 PHINT(V1)=-2.022E+04 ;PHINT(V2)=-2.022E+04 PHINT(W1)=-2.022E+04 ;PHINT(W2)=-2.022E+04 PHINT(R1)=-2.022E+04 ;PHINT(R2)=-2.022E+04 PRNDTL(V1)=1. ;PRNDTL(V2)=1. PRNDTL(W1)=1. ;PRNDTL(W2)=1. PRNDTL(R1)=1. ;PRNDTL(R2)=1. PRNDTL(KE)=1. ;PRNDTL(EP)=1. PRT(V1)=1. ;PRT(V2)=1. PRT(W1)=1. ;PRT(W2)=1. PRT(R1)=0.75 ;PRT(R2)=0.75 PRT(KE)=1. ;PRT(EP)=1.314 CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes CFIPS = GRND7 RLOLIM =1.0E-03 ;CMDOT =0. CFIPA =1.0E-04 ;CFIPB =7.61E-03 CFIPC =0.072 ;CFIPD =4. CINT(P1)=1. ;CINT(V1)=1. CINT(V2)=1. ;CINT(W1)=1. CINT(W2)=1. ;CINT(R1)=1. CINT(R2)=1. PHINT(P1)=-2.022E+04 ;PHINT(V1)=-2.022E+04 PHINT(V2)=-2.022E+04 ;PHINT(W1)=-2.022E+04 PHINT(W2)=-2.022E+04 ;PHINT(R1)=-2.022E+04 PHINT(R2)=-2.022E+04 ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(P1)=1.0E-10 ;FIINIT(V1)=1.0E-10 FIINIT(V2)=1.0E-10 ;FIINIT(W1)=1.0E-10 FIINIT(W2)=1.0E-10 ;FIINIT(R1)=0.9999 FIINIT(R2)=1.0E-04 ;FIINIT(KE)=3.61E-06 FIINIT(EP)=1.633237E-07 ;FIINIT(IPSW)=1.0E-10 FIINIT(IPSV)=1.0E-10 ;FIINIT(LISW)=1.0E-10 FIINIT(LISV)=1.0E-10 ;FIINIT(VMSV)=1.0E-10 FIINIT(VMSW)=1.0E-10 ;FIINIT(WEB)=1.0E-10 FIINIT(REYN)=1.0E-10 ;FIINIT(CD)=1.0E-10 FIINIT(LEN1)=1.0E-10 ;FIINIT(ENUT)=1.0E-10 FIINIT(CFIP)=1.0E-10 ;FIINIT(VREL)=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, 5) COVAL(KESOURCE,KE , GRND4 , GRND4 ) COVAL(KESOURCE,EP , GRND4 , GRND4 ) PATCH(LIFT ,CELL , 0, 0, 0, 0, 0, 0, 1, 5) COVAL(LIFT ,V1 ,1.0E-20 , GRND4 ) COVAL(LIFT ,V2 ,1.0E-20 , GRND4 ) COVAL(LIFT ,W1 ,1.0E-20 , GRND4 ) COVAL(LIFT ,W2 ,1.0E-20 , GRND4 ) PATCH(INTPL ,CELL , 0, 0, 0, 0, 0, 0, 1, 5) COVAL(INTPL ,V1 ,1.0E-20 , GRND4 ) COVAL(INTPL ,V2 ,1.0E-20 , GRND4 ) COVAL(INTPL ,W1 ,1.0E-20 , GRND4 ) COVAL(INTPL ,W2 ,1.0E-20 , GRND4 ) PATCH(IN ,LOW , 1, 1, 1, 10, 1, 1, 1, 5) COVAL(IN ,W2 ,0. ,0.038 ) COVAL(IN ,R2 , FIXFLU ,0.04674 ) PATCH(OUTG ,HIGH , 1, 1, 1, 10, 20, 20, 1, 5) COVAL(OUTG ,R2 ,1.23E+10 ,0. ) PATCH(OUTL ,HIGH , 1, 1, 10, 10, 20, 20, 1, 5) COVAL(OUTL ,R1 ,1000. ,0. ) PATCH(GRAVITY ,PHASEM, 1, 1, 1, 10, 1, 20, 1, 5) COVAL(GRAVITY ,W2 , FIXFLU ,7965.799805 ) PATCH(NWALL ,NWALL , 1, 1, 10, 10, 1, 20, 1, 5) COVAL(NWALL ,W1 , GRND2 ,0. ) COVAL(NWALL ,KE , GRND2 , GRND2 ) COVAL(NWALL ,EP , GRND2 , GRND2 ) PATCH(KEDI ,CELL , 1, 1, 1, 10, 1, 20, 1, 5) COVAL(KEDI ,KE , FIXFLU , GRND3 ) COVAL(KEDI ,EP , FIXFLU , GRND3 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 100 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 ISWR1 = 1 ;ISWR2 = 10000 SELREF = T RESFAC =1.0E-02 ************************************************************ Group 16. Terminate Iterations LITER(P1)=30 ;LITER(V1)=10 LITER(V2)=10 ;LITER(W1)=10 LITER(W2)=10 ;LITER(R1)=1 LITER(R2)=1 ;LITER(KE)=20 LITER(EP)=20 ENDIT(P1)=1.0E-03 ;ENDIT(V1)=1.0E-03 ENDIT(V2)=1.0E-03 ;ENDIT(W1)=1.0E-03 ENDIT(W2)=1.0E-03 ;ENDIT(R1)=1.0E-03 ENDIT(R2)=1.0E-03 ;ENDIT(KE)=1.0E-03 ENDIT(EP)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(P1,LINRLX,1.) RELAX(V1,FALSDT,0.05) RELAX(V2,FALSDT,0.05) RELAX(W1,FALSDT,0.05) RELAX(W2,FALSDT,0.05) RELAX(R1,LINRLX,0.4) RELAX(R2,LINRLX,0.4) RELAX(KE,LINRLX,0.3) RELAX(EP,LINRLX,0.3) RELAX(IPSW,LINRLX,0.1) RELAX(IPSV,LINRLX,0.1) RELAX(LISW,LINRLX,0.1) RELAX(LISV,LINRLX,0.1) RELAX(VMSV,LINRLX,1.) RELAX(VMSW,LINRLX,1.) RELAX(WEB,LINRLX,1.) RELAX(REYN,LINRLX,1.) RELAX(CD,LINRLX,1.) RELAX(LEN1,LINRLX,1.) RELAX(ENUT,LINRLX,1.) RELAX(CFIP,LINRLX,0.3) RELAX(VREL,LINRLX,1.) KELIN = 1 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(V2)=1.0E+06 ;VARMIN(V2)=-1.0E+06 VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06 VARMAX(W2)=1.0E+06 ;VARMIN(W2)=-1.0E+06 VARMAX(R1)=1. ;VARMIN(R1)=1.0E-12 VARMAX(R2)=1. ;VARMIN(R2)=1.0E-12 VARMAX(KE)=1.0E+10 ;VARMIN(KE)=1.0E-10 VARMAX(EP)=1.0E+10 ;VARMIN(EP)=1.0E-10 VARMAX(IPSW)=1.0E+10 ;VARMIN(IPSW)=-1.0E+10 VARMAX(IPSV)=1.0E+10 ;VARMIN(IPSV)=-1.0E+10 VARMAX(LISW)=1.0E+10 ;VARMIN(LISW)=-1.0E+10 VARMAX(LISV)=1.0E+10 ;VARMIN(LISV)=-1.0E+10 VARMAX(VMSV)=1.0E+10 ;VARMIN(VMSV)=-1.0E+10 VARMAX(VMSW)=1.0E+10 ;VARMIN(VMSW)=-1.0E+10 VARMAX(WEB)=1.0E+10 ;VARMIN(WEB)=-1.0E+10 VARMAX(REYN)=1.0E+10 ;VARMIN(REYN)=-1.0E+10 VARMAX(CD)=1.0E+10 ;VARMIN(CD)=-1.0E+10 VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10 VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10 VARMAX(CFIP)=1.0E+10 ;VARMIN(CFIP)=-1.0E+10 VARMAX(VREL)=1.0E+10 ;VARMIN(VREL)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND GENK = T PARSOL = F ISG62 = 1 CVM = GRND2 CVMA =0.5 CPIP = GRND2 CPIPA =0.25 CLIFT = GRND2 CLIFTA =-0.5 SPEDAT(SET,GXMONI,TRANSIENT,L,F) ************************************************************ 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(V2,Y,N,Y,Y,Y,Y) OUTPUT(W1,Y,N,Y,Y,Y,Y) OUTPUT(W2,Y,N,Y,Y,Y,Y) OUTPUT(R1,Y,N,Y,Y,Y,Y) OUTPUT(R2,Y,N,Y,Y,Y,Y) OUTPUT(KE,Y,N,Y,Y,Y,Y) OUTPUT(EP,Y,N,Y,Y,Y,Y) OUTPUT(IPSW,N,N,N,N,N,N) OUTPUT(IPSV,N,N,N,N,N,N) OUTPUT(LISW,N,N,N,N,N,N) OUTPUT(LISV,N,N,N,N,N,N) OUTPUT(VMSV,N,N,Y,N,N,N) OUTPUT(VMSW,N,N,Y,N,N,N) OUTPUT(WEB,Y,N,Y,N,N,N) OUTPUT(REYN,Y,N,Y,N,N,N) OUTPUT(CD,Y,N,Y,N,N,N) OUTPUT(LEN1,Y,N,Y,N,N,N) OUTPUT(ENUT,Y,N,Y,N,N,N) OUTPUT(CFIP,Y,N,Y,N,N,N) OUTPUT(VREL,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 1 ;IZMON = 9 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = -10 UWATCH = T ;USTEER = T HIGHLO = F ************************************************************ Group 23.Field Print-Out & Plot Control NPRINT = 100 ;NUMCLS = 5 NTPRIN = 1 ;ISTPRF = 1 ;ISTPRL = 100000 NYPRIN = 1 ;IYPRF = 1 ;IYPRL = 10000 NZPRIN = 1 ;IZPRF = 11 ;IZPRL = 10000 XZPR = F ;YZPR = F IPLTF = 1 ;IPLTL = -1 ;NPLT = 10 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 IDISPA = 1 ;IDISPB = 0 ;IDISPC = 0 CSG1 ='H' STOP