TALK=T;RUN(1,1) PHOTON USE AUTOPLOT file phi 5 cl msg LAMINAR PIPE FLOW WITH MASS TRANSFER msg constant wall mass flux msg Reynolds number = 10 Schmidt number = 1.0 msg Velocity (W1) profile msg Blue line --- PHOENICS solution msg crosses --- analytical solution da 1 w1;da 1 w1a col3 1;blb4 2 msg pressto continue pause cl msg constant wall mass flux msg Reynolds number = 10 Schmidt number = 1.0 msg Mass concentration (C1) profile msg Blue line --- PHOENICS solution msg crosses --- analytical solution da 1 c1;da 1 c1a col3 1;blb4 2 msg press to continue pause msg press to end pause end END_USE DISPLAY DISPLAY The case considered is laminar flow and mass transfer of an incompressible, constant-property fluid in the developed region of a of a circular tube. The mass transfer problem can be solved either with a constant wall mass flux ( QFCON=T ) or a constant wall mass concentration ( QFCON=F ). The Schmidt number is set to 1.0, but it should be noted that the Sherwood number is a function only of the concentration boundary condition, as follows: Sh = 3.656 for a constant wall mass concentration and Sh = 4.364 for a constant wall mass flux QIN. For the latter case, an analytical solution exists for the radial concentration profile which is programmed below in PIL. The analytical velocity profile, which is parabolic, is also coded below. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(1D Laminar Pipe Flow And Mass Trans ) ************************************************************ ************************************************************ 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 = 30 YVLAST =0.1 YFRAC(1)=0.033333 ;YFRAC(2)=0.066667 YFRAC(3)=0.1 ;YFRAC(4)=0.133333 YFRAC(5)=0.166667 ;YFRAC(6)=0.2 YFRAC(7)=0.233333 ;YFRAC(8)=0.266667 YFRAC(9)=0.3 ;YFRAC(10)=0.333333 YFRAC(11)=0.366667 ;YFRAC(12)=0.4 YFRAC(13)=0.433333 ;YFRAC(14)=0.466667 YFRAC(15)=0.5 ;YFRAC(16)=0.533333 YFRAC(17)=0.566667 ;YFRAC(18)=0.6 YFRAC(19)=0.633333 ;YFRAC(20)=0.666667 YFRAC(21)=0.7 ;YFRAC(22)=0.733333 YFRAC(23)=0.766667 ;YFRAC(24)=0.8 YFRAC(25)=0.833333 ;YFRAC(26)=0.866667 YFRAC(27)=0.9 ;YFRAC(28)=0.933333 YFRAC(29)=0.966667 ;YFRAC(30)=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 = T NAME(7)=W1 ;NAME(16)=C1 NAME(149)=C1A ;NAME(150)=W1A * 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(C1,Y,Y,N,N,N,Y) SOLUTN(C1A,Y,N,N,N,N,Y) SOLUTN(W1A,Y,N,N,N,N,Y) ************************************************************ 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(C1,N,N,Y,Y,Y,Y) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F 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 =0. TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. ENUL =0.02 ;ENUT =0. PRNDTL(W1)=1. ;PRNDTL(C1)=1. PRT(W1)=1. ;PRT(C1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(W1)=1. ;FIINIT(C1)=8. FIINIT(C1A)=1.0E-10 ;FIINIT(W1A)=1.0E-10 PATCH(IN1 ,INIVAL, 1, 1, 1, 1, 1, 1, 1, 1) INIT(IN1 ,C1A ,0. ,1.388788E-03 ) INIT(IN1 ,W1A ,0. ,1.999444 ) PATCH(IN2 ,INIVAL, 1, 1, 2, 2, 1, 1, 1, 1) INIT(IN2 ,C1A ,0. ,0.012492 ) INIT(IN2 ,W1A ,0. ,1.995 ) PATCH(IN3 ,INIVAL, 1, 1, 3, 3, 1, 1, 1, 1) INIT(IN3 ,C1A ,0. ,0.034662 ) INIT(IN3 ,W1A ,0. ,1.986111 ) PATCH(IN4 ,INIVAL, 1, 1, 4, 4, 1, 1, 1, 1) INIT(IN4 ,C1A ,0. ,0.067824 ) INIT(IN4 ,W1A ,0. ,1.972778 ) PATCH(IN5 ,INIVAL, 1, 1, 5, 5, 1, 1, 1, 1) INIT(IN5 ,C1A ,0. ,0.111867 ) INIT(IN5 ,W1A ,0. ,1.955 ) PATCH(IN6 ,INIVAL, 1, 1, 6, 6, 1, 1, 1, 1) INIT(IN6 ,C1A ,0. ,0.166644 ) INIT(IN6 ,W1A ,0. ,1.932778 ) PATCH(IN7 ,INIVAL, 1, 1, 7, 7, 1, 1, 1, 1) INIT(IN7 ,C1A ,0. ,0.231967 ) INIT(IN7 ,W1A ,0. ,1.906111 ) PATCH(IN8 ,INIVAL, 1, 1, 8, 8, 1, 1, 1, 1) INIT(IN8 ,C1A ,0. ,0.307617 ) INIT(IN8 ,W1A ,0. ,1.875 ) PATCH(IN9 ,INIVAL, 1, 1, 9, 9, 1, 1, 1, 1) INIT(IN9 ,C1A ,0. ,0.393333 ) INIT(IN9 ,W1A ,0. ,1.839444 ) PATCH(IN10 ,INIVAL, 1, 1, 10, 10, 1, 1, 1, 1) INIT(IN10 ,C1A ,0. ,0.48882 ) INIT(IN10 ,W1A ,0. ,1.799444 ) PATCH(IN11 ,INIVAL, 1, 1, 11, 11, 1, 1, 1, 1) INIT(IN11 ,C1A ,0. ,0.593742 ) INIT(IN11 ,W1A ,0. ,1.755 ) PATCH(IN12 ,INIVAL, 1, 1, 12, 12, 1, 1, 1, 1) INIT(IN12 ,C1A ,0. ,0.707731 ) INIT(IN12 ,W1A ,0. ,1.706111 ) PATCH(IN13 ,INIVAL, 1, 1, 13, 13, 1, 1, 1, 1) INIT(IN13 ,C1A ,0. ,0.83038 ) INIT(IN13 ,W1A ,0. ,1.652778 ) PATCH(IN14 ,INIVAL, 1, 1, 14, 14, 1, 1, 1, 1) INIT(IN14 ,C1A ,0. ,0.961242 ) INIT(IN14 ,W1A ,0. ,1.595 ) PATCH(IN15 ,INIVAL, 1, 1, 15, 15, 1, 1, 1, 1) INIT(IN15 ,C1A ,0. ,1.099838 ) INIT(IN15 ,W1A ,0. ,1.532778 ) PATCH(IN16 ,INIVAL, 1, 1, 16, 16, 1, 1, 1, 1) INIT(IN16 ,C1A ,0. ,1.245648 ) INIT(IN16 ,W1A ,0. ,1.466111 ) PATCH(IN17 ,INIVAL, 1, 1, 17, 17, 1, 1, 1, 1) INIT(IN17 ,C1A ,0. ,1.398117 ) INIT(IN17 ,W1A ,0. ,1.395 ) PATCH(IN18 ,INIVAL, 1, 1, 18, 18, 1, 1, 1, 1) INIT(IN18 ,C1A ,0. ,1.556653 ) INIT(IN18 ,W1A ,0. ,1.319444 ) PATCH(IN19 ,INIVAL, 1, 1, 19, 19, 1, 1, 1, 1) INIT(IN19 ,C1A ,0. ,1.720625 ) INIT(IN19 ,W1A ,0. ,1.239444 ) PATCH(IN20 ,INIVAL, 1, 1, 20, 20, 1, 1, 1, 1) INIT(IN20 ,C1A ,0. ,1.889367 ) INIT(IN20 ,W1A ,0. ,1.155 ) PATCH(IN21 ,INIVAL, 1, 1, 21, 21, 1, 1, 1, 1) INIT(IN21 ,C1A ,0. ,2.062176 ) INIT(IN21 ,W1A ,0. ,1.066111 ) PATCH(IN22 ,INIVAL, 1, 1, 22, 22, 1, 1, 1, 1) INIT(IN22 ,C1A ,0. ,2.23831 ) INIT(IN22 ,W1A ,0. ,0.972778 ) PATCH(IN23 ,INIVAL, 1, 1, 23, 23, 1, 1, 1, 1) INIT(IN23 ,C1A ,0. ,2.416992 ) INIT(IN23 ,W1A ,0. ,0.875 ) PATCH(IN24 ,INIVAL, 1, 1, 24, 24, 1, 1, 1, 1) INIT(IN24 ,C1A ,0. ,2.597408 ) INIT(IN24 ,W1A ,0. ,0.772778 ) PATCH(IN25 ,INIVAL, 1, 1, 25, 25, 1, 1, 1, 1) INIT(IN25 ,C1A ,0. ,2.778704 ) INIT(IN25 ,W1A ,0. ,0.666111 ) PATCH(IN26 ,INIVAL, 1, 1, 26, 26, 1, 1, 1, 1) INIT(IN26 ,C1A ,0. ,2.959992 ) INIT(IN26 ,W1A ,0. ,0.555 ) PATCH(IN27 ,INIVAL, 1, 1, 27, 27, 1, 1, 1, 1) INIT(IN27 ,C1A ,0. ,3.140347 ) INIT(IN27 ,W1A ,0. ,0.439444 ) PATCH(IN28 ,INIVAL, 1, 1, 28, 28, 1, 1, 1, 1) INIT(IN28 ,C1A ,0. ,3.318805 ) INIT(IN28 ,W1A ,0. ,0.319445 ) PATCH(IN29 ,INIVAL, 1, 1, 29, 29, 1, 1, 1, 1) INIT(IN29 ,C1A ,0. ,3.494367 ) INIT(IN29 ,W1A ,0. ,0.195 ) PATCH(IN30 ,INIVAL, 1, 1, 30, 30, 1, 1, 1, 1) INIT(IN30 ,C1A ,0. ,3.665995 ) INIT(IN30 ,W1A ,0. ,0.066111 ) 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(WALL ,NWALL , 1, 1, 30, 30, 1, 1, 1, 1) COVAL(WALL ,W1 ,1. ,0. ) COVAL(WALL ,C1 , FIXFLU ,1. ) PATCH(FDFW1DP ,VOLUME, 1, 1, 1, 30, 1, 1, 1, 1) COVAL(FDFW1DP ,W1 ,5.0E-03 , GRND1 ) PATCH(FDFCHF ,PHASEM, 1, 1, 1, 30, 1, 1, 1, 1) COVAL(FDFCHF ,C1 ,19.999998 , GRND1 ) PATCH(CFIX ,CELL , 1, 1, 1, 1, 1, 1, 1, 1) COVAL(CFIX ,C1 ,1. ,0. ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 8 ;ISWC1 = 4 LITHYD = 2 ;LITFLX = 1 ;LITC = 5 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(W1)=10 ;LITER(C1)=20 ENDIT(W1)=1.0E-03 ;ENDIT(C1)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(W1,FALSDT,0.027778) RELAX(C1,FALSDT,1.0E+09) RELAX(C1A,LINRLX,1.) RELAX(W1A,LINRLX,1.) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06 VARMAX(C1)=1.0E+10 ;VARMIN(C1)=-1.0E+10 VARMAX(C1A)=1.0E+10 ;VARMIN(C1A)=-1.0E+10 VARMAX(W1A)=1.0E+10 ;VARMIN(W1A)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND 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(C1,Y,N,Y,Y,Y,Y) OUTPUT(C1A,Y,N,Y,N,N,N) OUTPUT(W1A,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 30 ;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 = 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