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
  DISPLAY

  The difference from case 228 is that the fixed and moving walls
  are coaxial cylinders.
  The problem has an analytical solution given on pp 94-96 & 325-326
  of Transport Phenomena (Bird, Stewart and Lightfoot,1960), with
  which the numerical solution agrees.

  ENDDIS
 ************************************************************
  Group 1. Run Title and Number
 ************************************************************
 ************************************************************
 
 TEXT(Viscous Heating In An Annulus           )
 
 ************************************************************
 ************************************************************
 
 IRUNN = 1 ;LIBREF = 228
 ************************************************************
  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 = 40
 YVLAST =0.5
 RINNER =0.5 ;SNALFA =0.
 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-04
 ************************************************************
  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
 ************************************************************
  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