```
TALK=T;RUN(1,1)
PHOTON USE
AUTOPLOT
file
PHI 5

cl;d 1 h1;d 1 ha;col3 1;blb4 2;redr
msg    temperature profile; press  to continue
ENDUSE
DISPLAY
The problem considered is similar to case 122 above, except
that the radiative heat transfer takes place in a tube with
a symmetry plane at r=0 and an isothermal wall at r=D/2.

The problem is to solve for the temperature distribution given
the wall temperature Tw, the optical thickness Kr*D; and the wall
emissivity emw. Kr is the Rosseland mean absorption coefficient
which is given by: Kr=(a+s).
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************

TEXT(1D RADIATION+HEAT SOURCE IN A TUBE:123  )

************************************************************
************************************************************

IRUNN = 1 ;LIBREF = 2
************************************************************
Group 2. Time dependence
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = F
NX = 1
XULAST =1.
XFRAC(1)=1.
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 50
YVLAST =0.5
YFRAC(1)=0.02 ;YFRAC(2)=0.04
YFRAC(3)=0.06 ;YFRAC(4)=0.08
YFRAC(5)=0.1 ;YFRAC(6)=0.12
YFRAC(7)=0.14 ;YFRAC(8)=0.16
YFRAC(9)=0.18 ;YFRAC(10)=0.2
YFRAC(11)=0.22 ;YFRAC(12)=0.24
YFRAC(13)=0.26 ;YFRAC(14)=0.28
YFRAC(15)=0.3 ;YFRAC(16)=0.32
YFRAC(17)=0.34 ;YFRAC(18)=0.36
YFRAC(19)=0.38 ;YFRAC(20)=0.4
YFRAC(21)=0.42 ;YFRAC(22)=0.44
YFRAC(23)=0.46 ;YFRAC(24)=0.48
YFRAC(25)=0.5 ;YFRAC(26)=0.52
YFRAC(27)=0.54 ;YFRAC(28)=0.56
YFRAC(29)=0.58 ;YFRAC(30)=0.6
YFRAC(31)=0.62 ;YFRAC(32)=0.64
YFRAC(33)=0.66 ;YFRAC(34)=0.68
YFRAC(35)=0.7 ;YFRAC(36)=0.72
YFRAC(37)=0.74 ;YFRAC(38)=0.76
YFRAC(39)=0.78 ;YFRAC(40)=0.8
YFRAC(41)=0.82 ;YFRAC(42)=0.84
YFRAC(43)=0.86 ;YFRAC(44)=0.88
YFRAC(45)=0.9 ;YFRAC(46)=0.92
YFRAC(47)=0.94 ;YFRAC(48)=0.96
YFRAC(49)=0.98 ;YFRAC(50)=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(14)=H1 ;NAME(146)=HA
NAME(149)=SCAT ;NAME(150)=EMIS
* Y in SOLUTN argument list denotes:
* 1-stored 2-solved 3-whole-field
* 4-point-by-point 5-explicit 6-harmonic averaging
SOLUTN(H1,Y,Y,N,N,N,Y)
SOLUTN(HA,Y,N,N,N,N,Y)
SOLUTN(EMPO,Y,N,N,N,N,Y)
SOLUTN(SCAT,Y,N,N,N,N,Y)
SOLUTN(EMIS,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(H1,N,N,N,N,Y,Y)
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 = GRND2
EL1 =0.
TSURR =0. ;TEMP0 =0.
PRESS0 =0.
DVO1DT =0. ;DRH1DP =0.
TMP1A =0. ;TMP1B =1.
TMP1C =0.
TMP2A =0. ;TMP2B =0.
TMP2C =0.
EMISS =5. ;SCATT =0.
ENUL =1.0E-05 ;ENUT =0.
CP1 =1. ;CP2 =1.
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initial field variables (PHIs)
FIINIT(H1)=1000. ;FIINIT(HA)=1.0E-10
FIINIT(SCAT)=0. ;FIINIT(EMIS)=0.

PATCH(IN1 ,INIVAL, 1, 1, 1, 1, 1, 1, 1, 1)
INIT(IN1 ,HA ,0. ,1090.775146 )

PATCH(IN2 ,INIVAL, 1, 1, 2, 2, 1, 1, 1, 1)
INIT(IN2 ,HA ,0. ,1090.739136 )

PATCH(IN3 ,INIVAL, 1, 1, 3, 3, 1, 1, 1, 1)
INIT(IN3 ,HA ,0. ,1090.66687 )

PATCH(IN4 ,INIVAL, 1, 1, 4, 4, 1, 1, 1, 1)
INIT(IN4 ,HA ,0. ,1090.558472 )

PATCH(IN5 ,INIVAL, 1, 1, 5, 5, 1, 1, 1, 1)
INIT(IN5 ,HA ,0. ,1090.413818 )

PATCH(IN6 ,INIVAL, 1, 1, 6, 6, 1, 1, 1, 1)
INIT(IN6 ,HA ,0. ,1090.233032 )

PATCH(IN7 ,INIVAL, 1, 1, 7, 7, 1, 1, 1, 1)
INIT(IN7 ,HA ,0. ,1090.015869 )

PATCH(IN8 ,INIVAL, 1, 1, 8, 8, 1, 1, 1, 1)
INIT(IN8 ,HA ,0. ,1089.762451 )

PATCH(IN9 ,INIVAL, 1, 1, 9, 9, 1, 1, 1, 1)
INIT(IN9 ,HA ,0. ,1089.472534 )

PATCH(IN10 ,INIVAL, 1, 1, 10, 10, 1, 1, 1, 1)
INIT(IN10 ,HA ,0. ,1089.14624 )

PATCH(IN11 ,INIVAL, 1, 1, 11, 11, 1, 1, 1, 1)
INIT(IN11 ,HA ,0. ,1088.783203 )

PATCH(IN12 ,INIVAL, 1, 1, 12, 12, 1, 1, 1, 1)
INIT(IN12 ,HA ,0. ,1088.383545 )

PATCH(IN13 ,INIVAL, 1, 1, 13, 13, 1, 1, 1, 1)
INIT(IN13 ,HA ,0. ,1087.946899 )

PATCH(IN14 ,INIVAL, 1, 1, 14, 14, 1, 1, 1, 1)
INIT(IN14 ,HA ,0. ,1087.473389 )

PATCH(IN15 ,INIVAL, 1, 1, 15, 15, 1, 1, 1, 1)
INIT(IN15 ,HA ,0. ,1086.962769 )

PATCH(IN16 ,INIVAL, 1, 1, 16, 16, 1, 1, 1, 1)
INIT(IN16 ,HA ,0. ,1086.414795 )

PATCH(IN17 ,INIVAL, 1, 1, 17, 17, 1, 1, 1, 1)
INIT(IN17 ,HA ,0. ,1085.829468 )

PATCH(IN18 ,INIVAL, 1, 1, 18, 18, 1, 1, 1, 1)
INIT(IN18 ,HA ,0. ,1085.206421 )

PATCH(IN19 ,INIVAL, 1, 1, 19, 19, 1, 1, 1, 1)
INIT(IN19 ,HA ,0. ,1084.545654 )

PATCH(IN20 ,INIVAL, 1, 1, 20, 20, 1, 1, 1, 1)
INIT(IN20 ,HA ,0. ,1083.846802 )

PATCH(IN21 ,INIVAL, 1, 1, 21, 21, 1, 1, 1, 1)
INIT(IN21 ,HA ,0. ,1083.109741 )

PATCH(IN22 ,INIVAL, 1, 1, 22, 22, 1, 1, 1, 1)
INIT(IN22 ,HA ,0. ,1082.334229 )

PATCH(IN23 ,INIVAL, 1, 1, 23, 23, 1, 1, 1, 1)
INIT(IN23 ,HA ,0. ,1081.52002 )

PATCH(IN24 ,INIVAL, 1, 1, 24, 24, 1, 1, 1, 1)
INIT(IN24 ,HA ,0. ,1080.666748 )

PATCH(IN25 ,INIVAL, 1, 1, 25, 25, 1, 1, 1, 1)
INIT(IN25 ,HA ,0. ,1079.77417 )

PATCH(IN26 ,INIVAL, 1, 1, 26, 26, 1, 1, 1, 1)
INIT(IN26 ,HA ,0. ,1078.842163 )

PATCH(IN27 ,INIVAL, 1, 1, 27, 27, 1, 1, 1, 1)
INIT(IN27 ,HA ,0. ,1077.870239 )

PATCH(IN28 ,INIVAL, 1, 1, 28, 28, 1, 1, 1, 1)
INIT(IN28 ,HA ,0. ,1076.858154 )

PATCH(IN29 ,INIVAL, 1, 1, 29, 29, 1, 1, 1, 1)
INIT(IN29 ,HA ,0. ,1075.805542 )

PATCH(IN30 ,INIVAL, 1, 1, 30, 30, 1, 1, 1, 1)
INIT(IN30 ,HA ,0. ,1074.712036 )

PATCH(IN31 ,INIVAL, 1, 1, 31, 31, 1, 1, 1, 1)
INIT(IN31 ,HA ,0. ,1073.577393 )

PATCH(IN32 ,INIVAL, 1, 1, 32, 32, 1, 1, 1, 1)
INIT(IN32 ,HA ,0. ,1072.401123 )

PATCH(IN33 ,INIVAL, 1, 1, 33, 33, 1, 1, 1, 1)
INIT(IN33 ,HA ,0. ,1071.182861 )

PATCH(IN34 ,INIVAL, 1, 1, 34, 34, 1, 1, 1, 1)
INIT(IN34 ,HA ,0. ,1069.921997 )

PATCH(IN35 ,INIVAL, 1, 1, 35, 35, 1, 1, 1, 1)
INIT(IN35 ,HA ,0. ,1068.618408 )

PATCH(IN36 ,INIVAL, 1, 1, 36, 36, 1, 1, 1, 1)
INIT(IN36 ,HA ,0. ,1067.271362 )

PATCH(IN37 ,INIVAL, 1, 1, 37, 37, 1, 1, 1, 1)
INIT(IN37 ,HA ,0. ,1065.880615 )

PATCH(IN38 ,INIVAL, 1, 1, 38, 38, 1, 1, 1, 1)
INIT(IN38 ,HA ,0. ,1064.445435 )

PATCH(IN39 ,INIVAL, 1, 1, 39, 39, 1, 1, 1, 1)
INIT(IN39 ,HA ,0. ,1062.965454 )

PATCH(IN40 ,INIVAL, 1, 1, 40, 40, 1, 1, 1, 1)
INIT(IN40 ,HA ,0. ,1061.440063 )

PATCH(IN41 ,INIVAL, 1, 1, 41, 41, 1, 1, 1, 1)
INIT(IN41 ,HA ,0. ,1059.868652 )

PATCH(IN42 ,INIVAL, 1, 1, 42, 42, 1, 1, 1, 1)
INIT(IN42 ,HA ,0. ,1058.250732 )

PATCH(IN43 ,INIVAL, 1, 1, 43, 43, 1, 1, 1, 1)
INIT(IN43 ,HA ,0. ,1056.585571 )

PATCH(IN44 ,INIVAL, 1, 1, 44, 44, 1, 1, 1, 1)
INIT(IN44 ,HA ,0. ,1054.872559 )

PATCH(IN45 ,INIVAL, 1, 1, 45, 45, 1, 1, 1, 1)
INIT(IN45 ,HA ,0. ,1053.111084 )

PATCH(IN46 ,INIVAL, 1, 1, 46, 46, 1, 1, 1, 1)
INIT(IN46 ,HA ,0. ,1051.300415 )

PATCH(IN47 ,INIVAL, 1, 1, 47, 47, 1, 1, 1, 1)
INIT(IN47 ,HA ,0. ,1049.439697 )

PATCH(IN48 ,INIVAL, 1, 1, 48, 48, 1, 1, 1, 1)
INIT(IN48 ,HA ,0. ,1047.52832 )

PATCH(IN49 ,INIVAL, 1, 1, 49, 49, 1, 1, 1, 1)
INIT(IN49 ,HA ,0. ,1045.56543 )

PATCH(IN50 ,INIVAL, 1, 1, 50, 50, 1, 1, 1, 1)
INIT(IN50 ,HA ,0. ,1043.550049 )
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(RADISO ,FREEVL, 0, 0, 0, 0, 0, 0, 1, 1)
COVAL(RADISO ,H1 , GRND1 , GRND1 )

PATCH(WALLRB ,NORTH , 1, 1, 50, 50, 1, 1, 1, 1)

PATCH(QHEAT ,VOLUME, 1, 1, 1, 50, 1, 1, 1, 1)
COVAL(QHEAT ,H1 , FIXFLU ,5.6697E+04 )
XCYCLE = F
EGWF = T
WALLCO = GRND2
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 500 ;ISWC1 = 1
LITHYD = 1 ;LITFLX = 1 ;LITC = 5 ;ITHC1 = 1
SELREF = F
************************************************************
Group 16. Terminate Iterations
************************************************************
Group 17. Relaxation
RELAX(H1,LINRLX,0.3)
RELAX(HA,LINRLX,1.)
RELAX(EMPO,LINRLX,1.)
RELAX(SCAT,LINRLX,1.)
RELAX(EMIS,LINRLX,1.)
OVRRLX =0.
EXPERT = F ;NNORSL = F
************************************************************
Group 18. Limits
VARMAX(H1)=1.0E+10 ;VARMIN(H1)=500.
VARMAX(HA)=1.0E+10 ;VARMIN(HA)=-1.0E+10
VARMAX(EMPO)=1.0E+10 ;VARMIN(EMPO)=-1.0E+10
VARMAX(SCAT)=1.0E+10 ;VARMIN(SCAT)=-1.0E+10
VARMAX(EMIS)=1.0E+10 ;VARMIN(EMIS)=-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(H1,Y,N,N,Y,Y,Y)
OUTPUT(HA,Y,N,Y,N,N,N)
OUTPUT(EMPO,Y,N,Y,N,N,N)
OUTPUT(SCAT,Y,N,Y,N,N,N)
OUTPUT(EMIS,Y,N,Y,N,N,N)
************************************************************
Group 22. Monitor Print-Out
IXMON = 1 ;IYMON = 1 ;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 = 20
ISWPRF = 1 ;ISWPRL = 100000
ITABL = 3 ;IPROF = 1
ABSIZ =0.5 ;ORSIZ =0.4
NTZPRF = 1 ;NCOLPF = 50
ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20

PATCH(YWISE ,PROFIL, 1, 1, 1, 50, 1, 1, 1, 1)
PLOT(YWISE ,H1 ,0. ,0. )