TALK=T;RUN(1,1) DISPLAY | h h | h u | moving wall fixed | h u | wall | h u | | h u | | u | u -------> y |ywall The flow is laminar, with uniform properties. The non-linearity of the temperature profile is due to viscous dissipation. The solution should be: u/uwall = y/ywall; (h-hzero)/(hwall-hzero) = y/ywall + H*(y/ywall)*(1 - y/ywall) where: H = 0.5 * Prandtl No * uwall**2 /(hwall -hzero) In this case, H = 1, which implies zero heat flux at the moving wall. The numerical calculations conform completely with the analytical solution. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(Viscous Heating In Couette Flow ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 1 XULAST =1. XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 40 YVLAST =1. YFRAC(1)=0.025 ;YFRAC(2)=0.05 YFRAC(3)=0.075 ;YFRAC(4)=0.1 YFRAC(5)=0.125 ;YFRAC(6)=0.15 YFRAC(7)=0.175 ;YFRAC(8)=0.2 YFRAC(9)=0.225 ;YFRAC(10)=0.25 YFRAC(11)=0.275 ;YFRAC(12)=0.3 YFRAC(13)=0.325 ;YFRAC(14)=0.35 YFRAC(15)=0.375 ;YFRAC(16)=0.4 YFRAC(17)=0.425 ;YFRAC(18)=0.45 YFRAC(19)=0.475 ;YFRAC(20)=0.5 YFRAC(21)=0.525 ;YFRAC(22)=0.55 YFRAC(23)=0.575 ;YFRAC(24)=0.6 YFRAC(25)=0.625 ;YFRAC(26)=0.65 YFRAC(27)=0.675 ;YFRAC(28)=0.7 YFRAC(29)=0.725 ;YFRAC(30)=0.75 YFRAC(31)=0.775 ;YFRAC(32)=0.8 YFRAC(33)=0.825 ;YFRAC(34)=0.85 YFRAC(35)=0.875 ;YFRAC(36)=0.9 YFRAC(37)=0.925 ;YFRAC(38)=0.95 YFRAC(39)=0.975 ;YFRAC(40)=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(3)=U1 ;NAME(14)=H1 * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(U1,Y,Y,N,N,N,Y) SOLUTN(H1,Y,Y,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(U1,Y,N,Y,N,Y,N) TERMS(H1,Y,N,Y,N,Y,N) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = 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 =0. ;EL1 =0. TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. ENUL =1. ;ENUT =0. PRNDTL(U1)=1. ;PRNDTL(H1)=2. PRT(U1)=1. ;PRT(H1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(U1)=1.0E-10 ;FIINIT(H1)=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(INNER ,SWALL , 1, 1, 1, 1, 1, 1, 1, 1) COVAL(INNER ,U1 ,1. ,0. ) COVAL(INNER ,H1 ,1. ,0. ) PATCH(OUTER ,NWALL , 1, 1, 40, 40, 1, 1, 1, 1) COVAL(OUTER ,U1 ,1. ,1. ) COVAL(OUTER ,H1 ,1. ,1. ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 3 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(U1)=10 ;LITER(H1)=20 ENDIT(U1)=1.0E-03 ;ENDIT(H1)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(U1,FALSDT,1.) RELAX(H1,FALSDT,1.0E+09) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06 VARMAX(H1)=1.0E+10 ;VARMIN(H1)=-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(U1,Y,N,Y,Y,Y,Y) OUTPUT(H1,Y,N,Y,Y,Y,Y) ************************************************************ 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 = 2 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.5 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 PATCH(PROFUH ,PROFIL, 1, 1, 1, 40, 1, 1, 1, 1) PLOT(PROFUH ,U1 ,0. ,0. ) PLOT(PROFUH ,H1 ,0. ,0. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP