Influence of Thermal Radiation on the Temperature Distribution in a Semi-Transparent Solid

[+] Author and Article Information
D. W. Amlin

Aeronautical Systems Div., Wright Patterson Air Force Base, Ohio

S. A. Korpela

The Ohio State University, Columbus, Ohio

J. Heat Transfer 101(1), 76-80 (Feb 01, 1979) (5 pages) doi:10.1115/1.3450939 History: Received February 21, 1978; Online August 11, 2010


The importance of radiation on the temperature distribution in a semi-transparent solid is reported. The first-order differential approximation of radiation is combined with conduction analysis to investigate the temperature profiles in a plane slab and a rectangular region. The coupled nonlinear partial differential equations are solved numerically by either a standard implicit or an implicit alternating direction method. Results obtained for opaque boundaries are in good agreement with exact formulations found in the literature. An extension to partially transparent boundaries is made and results presented.

Copyright © 1979 by ASME
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