Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T22:01:26.127Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  03 January 2019

N. A. Tuan  and
Y. C. Shiah
N. A. Tuan
Affiliation:
Department of Aeronautics and Astronautics National Cheng Kung UniversityTainan, Taiwan
Y. C. Shiah*
Affiliation:
Department of Aeronautics and Astronautics National Cheng Kung UniversityTainan, Taiwan
*
*Corresponding author (ycshiah@mail.ncku.edu.tw)
Get access

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.

Keywords

Boundary element methodThree-dimensional anisotropic heat conductionQuadratic volume heat sources
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 2 , April 2019 , pp. 225 - 231
Copyright
© The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Talaee, M. R. and Sarafrazi, V., “Analytical Solution for Three-Dimensional Hyperbolic Heat Conduction Equation with Time-Dependent and Distributed Heat Source,” Journal of Mechanics, 33, pp. 65–75 (2017).Google Scholar
Demir, M. Ş. and Banış, S., “Homann Flow and Heat Transfer of a Newtonian Fluid over a Translating Plate with Viscous Dissipation and Heat Generation,” Journal of Mechanics, 32, pp. 759–766 (2016).Google Scholar
Khdeir, A. A. and Aldraihem, O. J., “Analysis of Cross Ply Laminated Beams under Partial Heating,” Journal of Mechanics, 33, pp. 147–155 (2017).Google Scholar
Zhao, G.-P., Jian, Y.-J. and Li, F.-Q., “Electromagnetohydrodynamic Flow and Heat Transfer of Nanofluid in a Parallel Plate Microchannel,” Journal of Mechanics, 33, pp. 115–124 (2017).Google Scholar
Deb, A. and Banerjee, P. K., “BEM for General Anisotropic 2D Elasticity Using Particular Integrals,” Communications in Applied Numerical Methods, 6, pp. 111–119 (1990).Google Scholar
Nardini, D. and Brebbia, C. A., “A New Approach to Free Vibration Analysis Using Boundary Elements,” Boundary Element Methods in Engineering, Computational Mechanics Publications, Southampton (1982).Google Scholar
Shiah, Y. C., “Analytical Transformation of the Volume Integral for the BEM Treating 3D Anisotropic Elastostatics Involving Body-Force,” CMES-Computer Methods in Applied Mechanics and Engineering, 278, pp. 404–422 (2014).Google Scholar
Shiah, Y. C. and Chong, J. Y., “Boundary Element Analysis of Interior Thermoelastic Stresses in Three-Dimensional Generally Anisotropic Bodies,” Journal of Mechanics, 32, pp. 725–735 (2016).Google Scholar
Shiah, Y. C. and Tan, C. L., “BEM Treatment of Two-Dimensional Anisotropic Field Problems by Direct Domain Mapping,” Engineering Analysis with Boundary Elements, 20, pp. 347–351 (1997).Google Scholar
Shiah, Y. C. and Tan, C. L., “BEM Treatment of Three Dimensional Anisotropic Field Problems by Direct Domain Mapping,” Engineering Analysis with Boundary Elements, 28, pp. 43–52 (2004).Google Scholar
Shiah, Y. C., Hwang, P. W. and Yang, R. B., “Heat Conduction in Multiply Adjoined Anisotropic Media with Embedded Point Heat Sources,” Journal of Heat Transfer-Transactions of The ASME, 128, pp. 207–214 (2006).Google Scholar