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Research Papers: Radiative Heat Transfer

Chebyshev Collocation Spectral Methods for Coupled Radiation and Conduction in a Concentric Spherical Participating Medium

[+] Author and Article Information
Ben-Wen Li1

Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials, Northeastern University, P.O. Box 314, Shenyang 110004, Chinaheatli@hotmail.com

Ya-Song Sun, Da-Wei Zhang

Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials, Northeastern University, P.O. Box 314, Shenyang 110004, China

1

Corresponding author.

J. Heat Transfer 131(6), 062701 (Mar 31, 2009) (9 pages) doi:10.1115/1.3090617 History: Received April 30, 2008; Revised November 24, 2008; Published March 31, 2009

The Chebyshev collocation spectral method for coupled radiative and conductive heat transfer in concentric spherical participating medium is introduced and formulated. The angular dependence of the problem is discretized by conventional discrete ordinates method, and the space dependence is expressed by Chebyshev polynomial and discretized by collocation spectral method. Due to the exponential convergence of the spectral methods, very high accuracy can be obtained even using a small resolution (i.e., number of collocation points) for present problems. Comparisons between the solutions from Chebyshev collocation spectral–discrete ordinates method (SP-DOM) with available numerical or exact solutions in references indicate that the SP-DOM for the combination of radiation and conduction in concentric spherical participating medium is accurate and efficient.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Physical model and notations

Grahic Jump Location
Figure 2

SP-DOM results: Effect of angular quadrature on the radiative flux for pure radiation problem

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