Application of Variational Methods to Radiation Heat-Transfer Calculations

[+] Author and Article Information
E. M. Sparrow

Lewis Research Center, NASA, Cleveland, Ohio

J. Heat Transfer 82(4), 375-380 (Nov 01, 1960) (6 pages) doi:10.1115/1.3679957 History: Received August 13, 1959


A variational method is presented for solving a class of integral equations which arise in radiation heat-transfer problems. First, to demonstrate the formulation of radiation problems in terms of integral equations, consideration is given to a system consisting of two nonblack, finite, parallel plates. After a general description of the variational method, its use is illustrated by application to the parallel-plate system. Comparisons are made which show very good agreement with exact solutions.

Copyright © 1960 by ASME
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