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Research Papers: Radiative Heat Transfer

Reduced Models for Radiative Heat Transfer Analysis Through Anisotropic Fibrous Medium

[+] Author and Article Information
Hervé Thierry Tagne Kamdem

Department of Physics, Faculty of Sciences, Green Energy Technology and Heat Transfer, University of Dschang, P.O. Box 67, Dschang, Cameroon

Dominique Doermann Baillis

Centre de Thermique de Lyon (CETHIL), UMR 5008 CNRS, Institut des Sciences Appliquées de Lyon (INSA-Lyon), Université Claude Bernard-Lyon 1, Bâtiment Sadi Carnot, 69621 Villeurbanne, Francedominique.baillis@insa-lyon.fr

J. Heat Transfer 132(7), 072703 (May 05, 2010) (8 pages) doi:10.1115/1.4000994 History: Received August 29, 2009; Revised October 29, 2009; Published May 05, 2010; Online May 05, 2010

Reduced models for radiative heat transfer analysis through anisotropic medium are presented and evaluated. The models include two equivalent heat transfer models through isotropic medium using isotropic or Henyey–Greenstein scattering phase functions with arithmetic or weighted means radiative properties calculated over all incident direction and an anisotropic model with directional radiative properties coupled to an isotropic scattering phase function or directional anisotropically scattering phase function. The pertinence of the models is investigated by solving coupled conduction/radiation heat transfer through a slab of anisotropic fibrous medium with fiber randomly oriented in the plan parallel to the boundaries. Good agreements on heat fluxes and thermal conductivity are obtained for reduced anisotropic models and for reduced equivalent isotropic models with weighted mean radiative properties.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Size distribution for silica fibers

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Figure 2

Optical properties of the silica sample

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Figure 3

Extinction and scattering coefficients of equivalent isotropic media

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Figure 4

Asymmetric factor of equivalent isotropic media

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Figure 5

Extinction and scattering coefficients of silica fibrous medium at wavelength λ=29.41 μm: isotropic medium versus anisotropic medium

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Figure 6

Bias scattering factor of silica fibrous medium at wavelength λ=29.41 μm: isotropic medium versus anisotropic medium

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Figure 7

Scattering phase function of silica fibrous medium at wavelength λ=29.41 μm: isotropic medium versus anisotropic medium

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Figure 8

Heat fluxes of anisotropic silica medium of sample 1: Mie solution versus reduced radiative models

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Figure 9

Heat fluxes of anisotropic silica medium of sample 2: Mie solution versus reduced radiative models

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Figure 10

Heat fluxes of anisotropic silica medium of sample 3: Mie solution versus reduced radiative models

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Figure 11

Relative errors between Mie solution and reduced models on thermal radiative properties of sample 2

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