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RESEARCH PAPERS: Analytical and Experimental Techniques

A New Way of Solving Transient Radiative-Conductive Heat Transfer Problems

[+] Author and Article Information
S. Andre, A. Degiovanni

L.E.M.T.A. CNRS UMR 7563, B.P. 160, 2 Av. de la Foret de Haye, 54504 Vandoeuvre-les-Nancy Cedex, France

J. Heat Transfer 120(4), 943-955 (Nov 01, 1998) (13 pages) doi:10.1115/1.2825914 History: Received October 22, 1996; Revised June 01, 1998; Online December 05, 2007

Abstract

One-dimensional transient energy transfer by conduction and radiation is solved for a finite medium. The semitransparent layer emits, absorbs, and scatters radiation (participating medium). The coupled transfer is solved analytically by considering the well-known two-flux approximation, assuming linear transfer and using the Laplace transform. The semitransparent layer can then be modeled by a matrix transfer function. The accuracy of the solution is verified in the case of sharp thermal excitation by a heat pulse on the front face. It is shown that this general model is very accurate for simulating both the limiting cases of purely scattering and purely absorbing media. In the latter case, the same modeling is derived using the kernel substitution technique, and very good agreement is achieved compared with numerical simulations. The resulting computation times are very small, and suggest that such a model can be used in the inverse approach of thermal problems involving semitransparent materials.

Copyright © 1998 by The American Society of Mechanical Engineers
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