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International Heat Transfer Conference 5

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

ASYMPTOTIC FORMULAS FOR SOME NON-LINEAR INTEGR0-DIFFERENTIAL TRANSFER PROBLEMS

A. B. Bartman
Heat and Mass Transfer Institute, Minsk, USSR

T. L. Perelman
Heat and Mass Transfer Institute, Minsk, USSR

DOI: 10.1615/IHTC5.1640
pages 1-5

Abstract

The authors' earlier method of analytical continuation of integral transforms is applied to integro-differential transfer equations. The method is based on transformation of the initial equations into functional ones at some complex plane and examination of singularities arising in the adopted analytical continuation procedure. The method is illustrated by a number of transfer problems, for example, by the problem of equilibrium surface radiation in the Falkner-Scan boundary layer or in a boundary layer with chemical reactions of any order. From the methodological point of view it is of interest that some points of the present method are similar to the concepts of Zeldovich-Barenblatt intermediate asymptotics.

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