Pf. Hsu et Jc. Ku, RADIATIVE HEAT-TRANSFER IN FINITE CYLINDRICAL ENCLOSURES WITH NONHOMOGENEOUS PARTICIPATING MEDIA, Journal of thermophysics and heat transfer, 8(3), 1994, pp. 434-440
Results of a numerical solution for radiative heat transfer in homogen
eous and nonhomogeneous participating media are presented. The geometr
y of interest is a finite axisymmetric cylindrical enclosure. The inte
gral formulation for radiative transport is solved by the YIX method.
A three-dimensional solution scheme is applied to two-dimensional axis
ymmetric geometry to simplify kernel calculations and to avoid difficu
lties associated with treating boundary conditions. As part of the eff
ort to improve modeling capabilities for turbulent jet diffusion flame
s, predicted distributions for flame temperature and soot volume fract
ion are used to calculate radiative heat transfer from soot particles
in such flames. It is shown that the nonhomogeneity of radiative prope
rty has very significant effects. The peak value of the divergence of
radiative heat flux could be underestimated by a factor of 7 if a mean
homogeneous radiative property is used. Since recent studies have sho
wn that scattering by soot agglomerates is significant in flames, the
effect of magnitude of scattering is also investigated and found to be
nonnegligible.