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

Andrey E. Kovtanyuk; Nikolai D. Botkin; Karl-Heinz Hoffmann

doi:10.1016/j.ijheatmasstransfer.2011.10.045

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

Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-Heinz Hoffmann

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

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.

Original language	English (US)
Pages (from-to)	649-654
Number of pages	6
Journal	International Journal of Heat and Mass Transfer
Volume	55
Issue number	4
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2011.10.045
State	Published - Jan 2012
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.ijheatmasstransfer.2011.10.045

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title = "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. {\textcopyright} 2011 Elsevier Ltd. All rights reserved.",

author = "Kovtanyuk, {Andrey E.} and Botkin, {Nikolai D.} and Karl-Heinz Hoffmann",

note = "KAUST Repository Item: Exported on 2020-10-01 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). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2012",

month = jan,

doi = "10.1016/j.ijheatmasstransfer.2011.10.045",

language = "English (US)",

volume = "55",

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journal = "International Journal of Heat and Mass Transfer",

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AU - Kovtanyuk, Andrey E.

AU - Botkin, Nikolai D.

AU - Hoffmann, Karl-Heinz

N1 - KAUST Repository Item: Exported on 2020-10-01 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). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2012/1

Y1 - 2012/1

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/599021

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U2 - 10.1016/j.ijheatmasstransfer.2011.10.045

DO - 10.1016/j.ijheatmasstransfer.2011.10.045

M3 - Article

SN - 0017-9310

VL - 55

SP - 649

EP - 654

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 4

ER -

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

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