Bem Study of 3D Heat Conduction in Multiply Adjoined Anisotropic Media with Quadratic Domain Heat Generation

N. A. Tuan, Yui-Chuin Shiah

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)225-231
Number of pages7
JournalJournal of Mechanics
Volume35
Issue number2
DOIs
Publication statusPublished - 2019 Apr 1

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Anisotropic media
Anisotropic Media
heat generation
anisotropic media
Heat generation
Heat Conduction
Heat conduction
conductive heat transfer
Multiplication
Heat
Heat Source
heat sources
Boundary integral equations
Three-dimensional
Boundary Integral Equations
Heat transfer
Quadratic Function
Finite element method
Conduction
Boundary Elements

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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Bem Study of 3D Heat Conduction in Multiply Adjoined Anisotropic Media with Quadratic Domain Heat Generation. / Tuan, N. A.; Shiah, Yui-Chuin.

In: Journal of Mechanics, Vol. 35, No. 2, 01.04.2019, p. 225-231.

Research output: Contribution to journalArticle

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