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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51691

Title: Application of integral equations with superstrong singularity to steady state heat conduction
Authors: Jeng-Tzong Chen
Hong-Ki Hong
Contributors: 國立臺灣海洋大學:機械與機電工程學系
Date: 1988-02
Issue Date: 2018-12-18T07:06:49Z
Publisher: Thermochimica Acta
Abstract: Abstract: In this paper, we present the theory of dual integral equations for steady state heat conduction. There are four kernel functions with different orders of singularity in the two equations. Using the first equation with weaker singularity, the conventional direct boundary integral equation method (BIEM) was proposed long ago. An important characteristics of the first equation is that its kernels are of the Riemann and Cauchy types. The purpose of this paper is to present a method based on the second equation with stronger singularity kernels to solve the steady state heat conduction problems. Whereas the kernels of the second equation are of the Cauchy and Hadamard types. It is further shown that combination of the two equations can be used to solve problems with degenerate boundary which have long suffered from lack of a general formulation of the BIEM. For concreteness, an illustrative example is performed numerically to see the validity of the theory.
Relation: 135 pp.133-138
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51691
Appears in Collections:[機械與機電工程學系] 期刊論文

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