TALK=T;RUN(1,1) PHOTON USE AUTOPLOT file phi 5 cl msg POWER-LAW-FLUID LAMINAR PIPE FLOW msg Reynolds number = 10 Power index = 0.5 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 msg press to end pause end END_USE DISPLAY The problem concerns the steady fully-developed laminar flow of a power-law pseudo-plastic non-Newtonian fluid. The apparent viscosity of such a fluid is given by: enul = K*[(dw/dy)**(n-1.)]/rho so that enul decreases with increasing shear rate. Here, K is the fluid consistency index and n the flow-behaviour index. Examples of pseudo-plastic fluids include rubber solutions, adhesives, polymer solutions or melts, and biological fluids. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(Power-Law Fluid FD Lam Pipe Flow ) ************************************************************ ************************************************************ 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 = 20 YVLAST =0.1 YFRAC(1)=0.05 ;YFRAC(2)=0.1 YFRAC(3)=0.15 ;YFRAC(4)=0.2 YFRAC(5)=0.25 ;YFRAC(6)=0.3 YFRAC(7)=0.35 ;YFRAC(8)=0.4 YFRAC(9)=0.45 ;YFRAC(10)=0.5 YFRAC(11)=0.55 ;YFRAC(12)=0.6 YFRAC(13)=0.65 ;YFRAC(14)=0.7 YFRAC(15)=0.75 ;YFRAC(16)=0.8 YFRAC(17)=0.85 ;YFRAC(18)=0.9 YFRAC(19)=0.95 ;YFRAC(20)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =0.1 ZFRAC(1)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T NAME(7)=W1 ;NAME(149)=VISL 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(VISL,Y,N,N,N,N,Y) SOLUTN(W1A,Y,N,N,N,N,Y) VISL = 149 ************************************************************ 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) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F NEWENL = T 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 = GRND4 ;ENUT =0. ENULA =0.044721 ;ENULB =0.5 ;ENULC =0. ;ENULD =0. ENULE =0. ;ENULF =0. ;ENULG =0. IENULA = 0 ;IENULB = 0 PRNDTL(W1)=1. PRT(W1)=1. CP1 =1. ;CP2 =1. * List of user-defined materials to be read by EARTH MATFLG=T;IMAT=1 * Name *Ind. Dens. Viscos. Spec.heat Conduct. Expans. Compr. * 33 1. GRND4 1. 1. 0 * constants for GRND option no 1 0.04472 0.5 ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(W1)=1. ;FIINIT(VISL)=1.0E-10 FIINIT(W1A)=1.0E-10 PATCH(IN1 ,INIVAL, 1, 1, 1, 1, 1, 1, 1, 1) INIT(IN1 ,W1A ,0. ,1.666641 ) PATCH(IN2 ,INIVAL, 1, 1, 2, 2, 1, 1, 1, 1) INIT(IN2 ,W1A ,0. ,1.665964 ) PATCH(IN3 ,INIVAL, 1, 1, 3, 3, 1, 1, 1, 1) INIT(IN3 ,W1A ,0. ,1.663411 ) PATCH(IN4 ,INIVAL, 1, 1, 4, 4, 1, 1, 1, 1) INIT(IN4 ,W1A ,0. ,1.657734 ) PATCH(IN5 ,INIVAL, 1, 1, 5, 5, 1, 1, 1, 1) INIT(IN5 ,W1A ,0. ,1.647682 ) PATCH(IN6 ,INIVAL, 1, 1, 6, 6, 1, 1, 1, 1) INIT(IN6 ,W1A ,0. ,1.632005 ) PATCH(IN7 ,INIVAL, 1, 1, 7, 7, 1, 1, 1, 1) INIT(IN7 ,W1A ,0. ,1.609453 ) PATCH(IN8 ,INIVAL, 1, 1, 8, 8, 1, 1, 1, 1) INIT(IN8 ,W1A ,0. ,1.578776 ) PATCH(IN9 ,INIVAL, 1, 1, 9, 9, 1, 1, 1, 1) INIT(IN9 ,W1A ,0. ,1.538724 ) PATCH(IN10 ,INIVAL, 1, 1, 10, 10, 1, 1, 1, 1) INIT(IN10 ,W1A ,0. ,1.488047 ) PATCH(IN11 ,INIVAL, 1, 1, 11, 11, 1, 1, 1, 1) INIT(IN11 ,W1A ,0. ,1.425495 ) PATCH(IN12 ,INIVAL, 1, 1, 12, 12, 1, 1, 1, 1) INIT(IN12 ,W1A ,0. ,1.349818 ) PATCH(IN13 ,INIVAL, 1, 1, 13, 13, 1, 1, 1, 1) INIT(IN13 ,W1A ,0. ,1.259766 ) PATCH(IN14 ,INIVAL, 1, 1, 14, 14, 1, 1, 1, 1) INIT(IN14 ,W1A ,0. ,1.154089 ) PATCH(IN15 ,INIVAL, 1, 1, 15, 15, 1, 1, 1, 1) INIT(IN15 ,W1A ,0. ,1.031536 ) PATCH(IN16 ,INIVAL, 1, 1, 16, 16, 1, 1, 1, 1) INIT(IN16 ,W1A ,0. ,0.890859 ) PATCH(IN17 ,INIVAL, 1, 1, 17, 17, 1, 1, 1, 1) INIT(IN17 ,W1A ,0. ,0.730807 ) PATCH(IN18 ,INIVAL, 1, 1, 18, 18, 1, 1, 1, 1) INIT(IN18 ,W1A ,0. ,0.55013 ) PATCH(IN19 ,INIVAL, 1, 1, 19, 19, 1, 1, 1, 1) INIT(IN19 ,W1A ,0. ,0.347578 ) PATCH(IN20 ,INIVAL, 1, 1, 20, 20, 1, 1, 1, 1) INIT(IN20 ,W1A ,0. ,0.121901 ) 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, 20, 20, 1, 1, 1, 1) COVAL(WALL ,W1 ,1. ,0. ) PATCH(FDFW1DP ,VOLUME, 1, 1, 1, 20, 1, 1, 1, 1) COVAL(FDFW1DP ,W1 ,5.0E-03 , GRND1 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 8 ;ISWC1 = 1 LITHYD = 10 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(W1)=10 ENDIT(W1)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(W1,FALSDT,0.055902) RELAX(VISL,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(VISL)=1.0E+10 ;VARMIN(VISL)=-1.0E+10 VARMAX(W1A)=1.0E+10 ;VARMIN(W1A)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND DWDY = T 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(VISL,Y,N,Y,N,N,N) OUTPUT(W1A,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 20 ;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