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Approximate analysis of combined heat radiation and conduction in aspect of the flat sample thickness effect on heat conduction of semitransparent media

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This paper is a continuation of considerations concerning analytical and numerical analysis of the problem of .thickness effect curve. in interactive optical media mentioned in paper [1]. As before the method of division of the thermal conductivity thickness dependence k(l) (for a sample thickness l) into three parts of different widths (two external parts of them are of the same width) has been used. The novelty is to present the limited value of the sample thickness l[gr], which corresponds to an initial region of the actual thermal conductivity k(l), as a function of absorption coefficient kappa and sample thickness l. Due to that a good accuracy of approximation of the whole characteristics k(l) can be obtained. To validate the proposed method the results of analytical solution have been compared with the numerical solution of the 1-D coupled radiation and conduction heat transfer model in an emitting and absorbing medium (RTE). The method of numerical solution of RadiativeTransfer Equation (RTE) has been described by the authors in [1].
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bwmeta1.element.baztech-article-BGPK-0673-3171
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