General boundary element method for non-linear heat transfer problems governed by hyperbolic heat conduction equation |
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Authors: | S. Liao |
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Affiliation: | (1) Department of Naval Architecture & Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, China, CN |
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Abstract: | The general Boundary Element Method (BEM) for strongly non-linear problems proposed by Liao (1995) is further applied to solve a two-dimensional unsteady non-linear heat transfer problem in the time domain, governed by the hyperbolic heat conduction equation (HHCE) with the temperature-dependent thermal conductivity coefficients which are different in the x and y directions. This paper confirms that the general BEM can be used to solve even those non-linear unsteady heat transfer problems whose governing equations do not contain any linear terms in spatial domain. |
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