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-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