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quadratic volume heat sources

Journal of Mechanics (1)

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Bem Study of 3D Heat Conduction in Multiply Adjoined Anisotropic Media with Quadratic Domain Heat Generation
N. A. Tuan, Y. C. Shiah
Journal:

Journal of Mechanics / Volume 35 / Issue 2 / April 2019

Published online by Cambridge University Press:

03 January 2019, pp. 225-231

Print publication:

April 2019
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In engineering, it is quite often to have applications of the heat transfer of conduction having domain heat generation present inside. The paper aims to present boundary element formulations for analyzing the three-dimensional heat-conduction in dissimilarly bonded anisotropic media involving quadratic volume heat sources. In this paper, the additional volume integral present in the boundary integral equation is analytically transformed to the boundary surface for the volume heat sources modeled by quadratic functions. The technique of domain-mapping is employed to treat the three-dimensional anisotropic heat conduction in multiply adjoined media with proper interfacial conditions provided. For showing our successful implementation, a few example cases are analyzed with verification of independent analyses by the finite element method.