Partial Spectral Expansions for Problems in Thermal Convection

[+] Author and Article Information
E. J. Shaughnessy, J. Custer

Department of Mechanical Engineering and Materials Science, Duke University, Durham, N. C. 27706

R. W. Douglass

Department of Mechanical Engineering, University of Nebraska, Lincoln, Neb. 68588

J. Heat Transfer 100(3), 435-441 (Aug 01, 1978) (7 pages) doi:10.1115/1.3450827 History: Received November 15, 1977; Online August 11, 2010


The use of spectral expansions for solving nonlinear partial differential equations is explained, and two examples drawn from convective heat transfer are presented. For both problems the results agree well with regular perturbation solutions at parameter values for which the latter remain valid. Evidence is given to indicate that the spectral solutions are valid for considerably larger parameter values than can be reached with the perturbation methods.

Copyright © 1978 by ASME
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