```
TALK=T;RUN(1,1)
AUTOPLOT USE
file
phi 5

da 1 u2; da 1 uterm;screen
msg 2nd-phase velocity & terminal velocity;col3 1;blb4 2
msg press  to continue
pause
cl;screen
msg press  to continue
msg press e to END
enduse
DISPLAY
The case considered is that of a particles falling through
essentially stagnant air under gravity. The flow is steady, one
dimensional and after a relatively short period of acceleration,
the particles attain a uniform velocity under which the drag
force balances the gravitational force. This velocity is called
the terminal settling velocity, which is given by:

Vset = [ 4.*{rho,p-rho,a}*g*diam,p/(3.*rho,a*Cd) ] ** 0.5

The density ratio is taken as 1000 and the particle Reynolds
number as 2,000. The calculation may be performed in the x-,
y- or z-direction with phase 1 as continuous (air) and phase
2 as dispersed (solid) or vice versa (CONPHS=2). The task is
to calculate the terminal velocity of the particles.
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************

TEXT(1D SETTLING OF PARTICLES UNDER GRAVITY  )

************************************************************
************************************************************

IRUNN = 1 ;LIBREF = 14
************************************************************
Group 2. Time dependence
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = T
NX = 20
XULAST =100.
XFRAC(1)=0.05 ;XFRAC(2)=0.1
XFRAC(3)=0.15 ;XFRAC(4)=0.2
XFRAC(5)=0.25 ;XFRAC(6)=0.3
XFRAC(7)=0.35 ;XFRAC(8)=0.4
XFRAC(9)=0.45 ;XFRAC(10)=0.5
XFRAC(11)=0.55 ;XFRAC(12)=0.6
XFRAC(13)=0.65 ;XFRAC(14)=0.7
XFRAC(15)=0.75 ;XFRAC(16)=0.8
XFRAC(17)=0.85 ;XFRAC(18)=0.9
XFRAC(19)=0.95 ;XFRAC(20)=1.
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 1
YVLAST =1.
YFRAC(1)=1.
************************************************************
Group 5. Z-Direction Grid Spacing
PARAB = F
NZ = 1
ZWLAST =1.
ZFRAC(1)=1.
************************************************************
Group 6. Body-Fitted Coordinates
************************************************************
Group 7. Variables: STOREd,SOLVEd,NAMEd
ONEPHS = F
EQUVEL = F
NAME(1)=P1 ;NAME(3)=U1
NAME(4)=U2 ;NAME(9)=R1
NAME(10)=R2 ;NAME(143)=TMP1
NAME(144)=SIZE ;NAME(145)=CFIP
NAME(146)=APRJ ;NAME(147)=CD
NAME(148)=VREL ;NAME(149)=REYN
NAME(150)=UTER
* 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(U1,Y,Y,N,N,N,Y)
SOLUTN(U2,Y,Y,N,N,N,Y)
SOLUTN(R1,Y,Y,N,N,N,Y)
SOLUTN(R2,Y,Y,N,N,N,Y)
SOLUTN(TMP1,Y,N,N,N,N,Y)
SOLUTN(SIZE,Y,N,N,N,N,Y)
SOLUTN(CFIP,Y,N,N,N,N,Y)
SOLUTN(APRJ,Y,N,N,N,N,Y)
SOLUTN(CD,Y,N,N,N,N,Y)
SOLUTN(VREL,Y,N,N,N,N,Y)
SOLUTN(REYN,Y,N,N,N,N,Y)
SOLUTN(UTER,Y,N,N,N,N,Y)
TEMP1 = 143
************************************************************
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(U1,Y,Y,Y,Y,Y,Y)
TERMS(U2,Y,Y,Y,Y,N,Y)
TERMS(R1,Y,Y,Y,Y,Y,Y)
TERMS(R2,Y,Y,Y,Y,N,Y)
DIFCUT =0.5 ;ZDIFAC =1.
GALA = F ;ADDDIF = F
NEWENL = 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 =1. ;TMP1 = GRND1
EL1 =0.
TSURR =0. ;TEMP0 =0.
PRESS0 =0.
DVO1DT =0. ;DRH1DP =0.
TMP1A =0. ;TMP1B =0.
TMP1C =0.
TMP2A =0. ;TMP2B =0.
TMP2C =0.
EMISS =0. ;SCATT =0.
RHO2 =1000. ;TMP2 =0.
EL2 =0.
DVO2DT =0. ;DRH2DP =0.
ENUL = GRND1 ;ENUT =0.
ENULA =1.0E-06 ;ENULB =0.
ENULC =0.
PHINT(U1)=-2.022E+04 ;PHINT(U2)=-2.022E+04
PHINT(R1)=-2.022E+04 ;PHINT(R2)=-2.022E+04
PRNDTL(U1)=1. ;PRNDTL(U2)=1.
PRNDTL(R1)=1. ;PRNDTL(R2)=1.
PRT(U1)=1. ;PRT(U2)=1.
PRT(R1)=1. ;PRT(R2)=1.
CP1 =1. ;CP2 =1.
************************************************************
Group 10.Inter-Phase Transfer Processes
CFIPS = GRND7
RLOLIM =0. ;CMDOT =0.
CFIPA =1.0E-03 ;CFIPB =4.978263E-04
CFIPC =0. ;CFIPD =0.
CINT(P1)=1. ;CINT(U1)=1.
CINT(U2)=1. ;CINT(R1)=1.
CINT(R2)=1.
PHINT(P1)=-2.022E+04 ;PHINT(U1)=-2.022E+04
PHINT(U2)=-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(U1)=1.0E-03
FIINIT(U2)=1.0E-03 ;FIINIT(R1)=1.
FIINIT(R2)=2.489132E-07 ;FIINIT(TMP1)=1.0E-10
FIINIT(SIZE)=1.0E-10 ;FIINIT(CFIP)=1.0E-10
FIINIT(APRJ)=1.0E-10 ;FIINIT(CD)=1.0E-10
FIINIT(VREL)=1.0E-10 ;FIINIT(REYN)=1.0E-10
FIINIT(UTER)=4.017466
No PATCHes yet used for this Group
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(IN ,CELL , 1, 1, 1, 1, 1, 1, 1, 1)
COVAL(IN ,U1 ,0. ,1.0E-03 )
COVAL(IN ,U2 ,0. ,1.0E-03 )
COVAL(IN ,R1 , FIXFLU ,9.99E-04 )
COVAL(IN ,R2 , FIXFLU ,1.0E-03 )

PATCH(OUT ,CELL , 20, 20, 1, 1, 1, 1, 1, 1)
COVAL(OUT ,U1 ,0. ,0. )
COVAL(OUT ,U2 ,0. ,0. )
COVAL(OUT ,R1 ,0.1 ,0. )
COVAL(OUT ,R2 ,4.017466E+05 ,0. )

PATCH(GRAVITY ,PHASEM, 1, 20, 1, 1, 1, 1, 1, 1)
COVAL(GRAVITY ,U2 , FIXFLU ,9.800191 )
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-04
************************************************************
Group 16. Terminate Iterations
LITER(P1)=20 ;LITER(U1)=10
LITER(U2)=10 ;LITER(R1)=1
LITER(R2)=1
ENDIT(P1)=1.0E-03 ;ENDIT(U1)=1.0E-03
ENDIT(U2)=1.0E-03 ;ENDIT(R1)=1.0E-03
ENDIT(R2)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(P1,LINRLX,1.)
RELAX(U1,FALSDT,3.733697)
RELAX(U2,FALSDT,3.733697)
RELAX(R1,LINRLX,0.5)
RELAX(R2,LINRLX,0.5)
RELAX(TMP1,LINRLX,1.)
RELAX(SIZE,LINRLX,1.)
RELAX(CFIP,LINRLX,1.)
RELAX(APRJ,LINRLX,1.)
RELAX(CD,LINRLX,1.)
RELAX(VREL,LINRLX,1.)
RELAX(REYN,LINRLX,1.)
RELAX(UTER,LINRLX,1.)
OVRRLX =0.
EXPERT = F ;NNORSL = F
************************************************************
Group 18. Limits
VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10
VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06
VARMAX(U2)=1.0E+06 ;VARMIN(U2)=-1.0E+06
VARMAX(R1)=1. ;VARMIN(R1)=1.0E-06
VARMAX(R2)=1. ;VARMIN(R2)=1.0E-10
VARMAX(TMP1)=1.0E+10 ;VARMIN(TMP1)=-1.0E+10
VARMAX(SIZE)=1.0E+10 ;VARMIN(SIZE)=-1.0E+10
VARMAX(CFIP)=1.0E+10 ;VARMIN(CFIP)=-1.0E+10
VARMAX(APRJ)=1.0E+10 ;VARMIN(APRJ)=-1.0E+10
VARMAX(CD)=1.0E+10 ;VARMIN(CD)=-1.0E+10
VARMAX(VREL)=1.0E+10 ;VARMIN(VREL)=-1.0E+10
VARMAX(REYN)=1.0E+10 ;VARMIN(REYN)=-1.0E+10
VARMAX(UTER)=1.0E+10 ;VARMIN(UTER)=-1.0E+10
************************************************************
Group 19. Data transmitted to GROUND
PARSOL = F
ISG62 = 1
************************************************************
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(U1,Y,N,Y,Y,Y,Y)
OUTPUT(U2,Y,N,Y,Y,Y,Y)
OUTPUT(R1,Y,N,Y,Y,Y,Y)
OUTPUT(R2,Y,N,Y,Y,Y,Y)
OUTPUT(TMP1,Y,N,Y,N,N,N)
OUTPUT(SIZE,Y,N,Y,N,N,N)
OUTPUT(CFIP,Y,N,Y,N,N,N)
OUTPUT(APRJ,Y,N,Y,N,N,N)
OUTPUT(CD,Y,N,Y,N,N,N)
OUTPUT(VREL,Y,N,Y,N,N,N)
OUTPUT(REYN,Y,N,Y,N,N,N)
OUTPUT(UTER,Y,N,Y,N,N,N)
************************************************************
Group 22. Monitor Print-Out
IXMON = 10 ;IYMON = 1 ;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
NXPRIN = 1 ;IXPRF = 1 ;IXPRL = 10000
IPLTF = 1 ;IPLTL = -1 ;NPLT = -1
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
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