Asymptotic Expansions of Solutions of the Heat Conduction Equation in Internally Bounded Cylindrical Geometry
作者:
R. H. Ritchie,
A. Y. Sakakura,
期刊:
Journal of Applied Physics
(AIP Available online 1956)
卷期:
Volume 27,
issue 12
页码: 1453-1459
ISSN:0021-8979
年代: 1956
DOI:10.1063/1.1722288
出版商: AIP
数据来源: AIP
摘要:
The formal solutions of problems involving transient heat conduction in infinite internally bounded cylindrical solids may be obtained by the Laplace transform method. Asymptotic series representing the solutions for large values of time are given in terms of functions related to the derivatives of the reciprocal gamma function. The results are applied to the case of the internally bounded infinite cylindrical medium with, (a) the boundary held at constant temperature; (b) with constant heat flow over the boundary; and (c) with the ``radiation'' boundary condition. A problem in the flow of gas through a porous medium is considered in detail.
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