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 pressto 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 STEADY = T ************************************************************ 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. RADIA =0. ;RADIB =0. RHO2 =1000. ;TMP2 =0. ;EL2 =0. DVO2DT =0. ;DRH2DP =0. ENUL = GRND1 ;ENUT =0. ENULA =1.0E-06 ;ENULB =0. ;ENULC =0. ;ENULD =0. ENULE =0. ;ENULF =0. ;ENULG =0. IENULA = 0 ;IENULB = 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 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(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-05 ************************************************************ 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 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(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