Combined conduction and radiation heat transfer in a gray anisotropically scattering planar medium with diffuse-specular boundaries

Coupled conduction and radiation heat transfer in a gray planar nonlinearly anisotropic scattering medium bounded between two plane parallel surfaces reflecting both diffusely and specularly is analyzed. The governing integrodifferential equations are solved by a numerical iterative method consistin...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2001, Vol.28 (1), p.77-86
Main Authors: Krishnaprakas, C.K., Narayana, K.Badari, Dutta, Pradip
Format: Article
Language:English
Subjects:
Analytical and numerical techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Physics
Thermal radiation
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Summary:Coupled conduction and radiation heat transfer in a gray planar nonlinearly anisotropic scattering medium bounded between two plane parallel surfaces reflecting both diffusely and specularly is analyzed. The governing integrodifferential equations are solved by a numerical iterative method consisting of Numerov's method to solve the energy equation and Chandarsekhar's discrete ordinates method in conjunction with the Crank-Nicolson method to solve the radiative transfer equation. Convergence of the solution is enhanced by Ng-acceleration. The numerical algorithm described is found to be fast and reliable. Numerical results based on S 32 method indicate that anisotropy plays an important role, and difference between the diffuse and specular reflections is found to be insignificant.
ISSN:0735-1933
1879-0178
DOI:10.1016/S0735-1933(01)00215-9