Radial integration boundary element method for nonlinear heat conduction problems with temperature-dependent conductivity
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- 作者：Kai Yanga ; kyang@dlut.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Jing Wangb ; Jian-Ming Dua ; Hai-Feng Penga ; hfpeng@dlut.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Xiao-Wei Gaoa
- 关键词：Boundary element method ; Nonlinear heat conduction ; Temperature dependent conductivity ; Radial integration method
- 刊名：International Journal of Heat and Mass Transfer
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：104
- 期：Complete
- 页码：1145-1151
- 全文大小：1579 K
文摘
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In this paper, a new boundary element method is developed for solving the nonlinear heat conduction problems with temperature dependent thermal conductivity of materials for the first time.
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Radial integration method is used to deal with the domain integral due to the temperature dependence of the thermal conductivity of the materials, and the radial basis functions are employed to approximate the unknowns appearing in the domain integral.
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Newton–Raphson iteration method is applied to solve the final system of algebraic equations.