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Applications of perturbation techniquesTwo perturbation techniques were applied to two singular perturbation problems in heat transfer to obtain uniformly valid solutions which can serve as benchmarks for finite difference and finite element techniques. In the first problem, the method of strained parameters coupled with the application of a solvability condition is used to obtain a uniform solution for the problem of unsteady heat conduction in a long nearly circular cylinder. In the second problem, the method of matched asymptotic expansion coupled with Van Dyke's matching principle is used to obtain a uniform solution for the problem of one dimensional conduction-convection heat transfer of a uniform fluid flow.
Document ID
19820015609
Document Type
Conference Paper
Authors
Kandil, O. A. (Old Dominion Univ. Norfolk, VA, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1982
Publication Information
Publication: NASA. Langley Research Center Computational Aspects of Heat Transfer in Struct.
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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