#immersol)
#declare
IMMERSOL 1D tem1, wall-patch
Radiative heat exchange in a participating media.
IMMERSOL-WALL treatment.
TEXT(IMMERSOL-WALL 1D for TEM1 & T3. :206
#cls
TITLE
DISPLAY
Heat is radiated from a hot wall to a cold though a participating
medium, which is however supposed to possess zero conductivity,
set by making PRNDTL(TEM1) = 1.e10 .
The medium therefore takes a temperature equal to T3, the
'radiation temperature'.
The emissivities of the walls, which coincide with the outer
boundaries of the domain, are less than unity. The are set via
PATCH, COVAL and SPEDAT commmands.
The equations have an exact solution, to which the PHOENICS
solution conforms well.
It is interesting to note that, when the medium is given a
finite conductivity, the radiant heat flux is increased.
ENDDIS
#pause
**************************************************************
PHOTON USE
AUTOPLOT
FILE
PHI 5
CL;DA 1 TEM1;DA 1 T3;COL3 1;BLB4 2;REDR
MSG Temperature and T3 profiles.
ENDUSE
**************************************************************
#direct
#temps
MESG( ENTER optical thickness Kr*Wg (default 1.):
READVDU(OPTHI,REAL,1.0)
WGAP = 1.0; KGAS= 0.0258
KROSS= OPTHI/WGAP; SCATT= 0.0; EMISS= KROSS-SCATT
FIINIT(EMIS)=EMISS;FIINIT(SCAT)=SCATT
QRAD= SIGMA*(THOT**4-TCLD**4)
AEMISH= (1./EMISH-0.5)
AEMISC= (1./EMISC-0.5)
QRAD = QRAD/(0.75*OPTHI + AEMISH + AEMISC)
QRAD
TGH=(THOT**4-QRAD/SIGMA*AEMISH)**.25
TGH
TGC=(TCLD**4+QRAD/SIGMA*AEMISC)**.25
TGC
SOLVE(TEM1)
#geom2
#radflux
*** Set diffusivities for TEM1 and T3 (i.e. PRNDTL() must be
set to -Value). NOTE! value of diffusivity for T3 in a gas
is not important (correct value is calculated by EARTH);
PRNDTL(TEM1)= -KGAS;
PRNDTL(TEM1)= 1.e10
INIADD= F; FIINIT(TEM1)= (THOT+TCLD)/2.
*** IMMERSOL-WALL settings (CO=GRND4 for T3; VAL=GRND4 for TEM1)
NOTE! Coefficient for TEM1 must be set as for standard
wall-patch, i.e. it might be GRND2 for turbulent flows.
COVAL(IMSWL1,TEM1,WALLCO,THOT)
COVAL(IMSWL1,T3,GRND4,THOT)
COVAL(IMSWL2,TEM1,WALLCO,TCLD)
COVAL(IMSWL2,T3,GRND4,TCLD)
SPEDAT(SET,EMISSIVITY,OF IMSWL1,R,:EMISH:)
SPEDAT(SET,EMISSIVITY,OF IMSWL2,R,:EMISC:)
*********************
LSWEEP= 200; SELREF=F; RESREF(T3)= 1.E-3
IXMON=NX/2+1;IYMON=NY/2+1;IZMON=NZ/2+1;
NXPRIN=1; NYPRIN=1; NZPRIN=1
OUTPUT(LTLS,N,N,N,N,N,N); OUTPUT(WDIS,N,N,N,N,N,N)
VARMAX(T3)=THOT;VARMIN(T3)=TCLD
VARMAX(TEM1)=THOT;VARMIN(TEM1)=TCLD