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)
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(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,Y,N,N,N)
OUTPUT(IPSV,N,N,Y,N,N,N)
OUTPUT(LISW,N,N,Y,N,N,N)
OUTPUT(LISV,N,N,Y,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