Non-Linear Radiative-Conductive Heat Transfer in a Heterogeneous Gray Plane-Parallel Participating Medium

Integral Methods in Science and Engineering

“…The first equation of the recursive system is the same as in a homogeneous slab, and the influence of the heterogeneity is governed by the source term. The homogeneous problem is explicitly solved in [BoViSe11], so that we concentrate here on the inhomogeneity:…”

“…In the work [BoViSe11] an analytical approach was discussed and compared to the nonlinear S N problem of radiative-conductive transfer in a heterogeneous medium of plane-parallel geometry using a composite method by Laplace transform and Adomian decomposition [Ad88], here called the D M LT S N method. In the same reference it was shown that the heterogeneous problem can be expressed in a set of homogeneous problems, so that the general solution can be obtained through a hierarchical algorithm.…”

On the Analytical Solution of the SNRadiative Transport Equation in a Slab for a Space-dependent Albedo Coefficient

“…More information and details about this solution is found in the works of Segatto et al [10] and Vilhena et al [1].…”

“…These phenomenon appears in variety of realms including engineering applications like heat transport by radiation [1]. The nonlinearity of this equation comes from the local thermal description using the Stefan-Boltzmann law that is related to heat transport by radiation which in turn is related to the radiation intensity and renders the radiative transfer problem a radiative-conductive one [2,3].…”