Numerical simulations of a coupled radiative?conductive heat transfer model using a modified Monte Carlo method

Abstract
Radiative-conductive heat transfer in a medium bounded by two reflecting and radiating plane surfaces is considered. This process is described by a nonlinear system of two differential equations: an equation of the radiative heat transfer and an equation of the conductive heat exchange. The problem is characterized by anisotropic scattering of the medium and by specularly and diffusely reflecting boundaries. For the computation of solutions of this problem, two approaches based on iterative techniques are considered. First, a recursive algorithm based on some modification of the Monte Carlo method is proposed. Second, the diffusion approximation of the radiative transfer equation is utilized. Numerical comparisons of the approaches proposed are given in the case of isotropic scattering. © 2011 Elsevier Ltd. All rights reserved.

Citation
Kovtanyuk AE, Botkin ND, Hoffmann K-H (2012) Numerical simulations of a coupled radiative?conductive heat transfer model using a modified Monte Carlo method. International Journal of Heat and Mass Transfer 55: 649–654. Available: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2011.10.045.

Acknowledgements
This publication was supported in part by the German Academic Exchange Service (DAAD); German Research Society (DFG), SPP 1253; Award No. KSA-C0069/UK-C0020, made by King Abdullah University of Science and Technology (KAUST): and Ministry of Education and Science of Russian Federation (state contracts 14.740.11.0289, 14.740.11.1000, 16.740.11.0456, 07.514.11.4013).

Publisher
Elsevier BV

Journal
International Journal of Heat and Mass Transfer

DOI
10.1016/j.ijheatmasstransfer.2011.10.045

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