Solvability of P1 approximation of a conductive–radiative heat transfer problem

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摘要

Conductive–radiative heat transfer in a scattering and absorbing medium bounded by two reflecting and radiating plane surfaces is examined. P1 approximation (diffusion model) is used for the simplification of the original problem. The existence and uniqueness of solutions of the diffusion model are proved. The convergence of an iterative procedure for finding solutions is proved. Numerical examples are discussed.

论文关键词:Radiative heat transfer,Conductive heat transfer,Diffusion approximation

论文评审过程:Available online 6 November 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.10.054