Analysis of conduction-radiation problem in absorbing, emitting and anisotropically scattering media using the collapsed dimension method

Combined conduction-radiation problem is solved using the collapsed dimension method. One-dimensional gray planar absorbing, emitting and anisotropically scattering medium is considered. Non-dimensional medium temperature and heat flux distributions are found for various values of boundary temperature, optical thickness, boundary emissivity and conduction-radiation parameter. Effects of scattering albedo and anisotropy factor are also discussed. For comparison, problems considered are also analyzed with the discrete transfer method and the exact method. Collapsed dimension method is found to give excellent comparison for various radiative parameters considered.