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International Heat Transfer Conference 3

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A PERTURBATION SOLUTION FOR THE NONLINEAR RADIATION HEAT TRANSFER PROBLEM

Daniel Dicker
College of Engineering State University of New York Stony Brook, N. Y.

Mohan Asnani
College of Engineering State University of New York Stony Brook, N. Y.

DOI: 10.1615/IHTC3.1260
pages 164-173

Abstract

A perturbation technique is developed for determining the transient temperature in a slab, insulated on one face and subject to nonlinear thermal radiation at the other face. The slab is initially at a uniform temperature and is assumed to be homogeneous and isotropic; the physical properties are assumed to be independent of temperature. Temperature distributions and heat flux at the radiating boundary are presented in a dimensionless, graphical form for a wide range of parameters, and the former are compared with previously obtained analog computer results.

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