H. Machali et Ma. Madkour, RADIATIVE-TRANSFER IN A PARTICIPATING SLAB WITH ANISOTROPIC SCATTERING AND GENERAL BOUNDARY-CONDITIONS, Journal of quantitative spectroscopy & radiative transfer, 54(5), 1995, pp. 803-813
Radiative transfer has been considered within a participating plane sl
ab bounded by two emitting and reflecting plates. The slab is assumed
in radiative equilibrium and scatter radiation anisotropically. The sc
attering function is expanded into Legendre polynomials and a rigorous
solution is developed based on the projection method. The resulting f
ormulae for the partial and total heat fluxes have been numerically pr
ocessed, for both linearly anisotropic and Rayleigh modes of scatterin
g. For the isotropically scattering case, the computed values complete
ly reproduce those available in the literature. As regards to the anis
otropic results it has the same accuracy like that for isotropic.