淡江大學機構典藏:Item 987654321/124678
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    题名: Steady state heat conduction in exchanger tubes by using the meshfree boundary integral equation method: conduction shape factor and degenerate scale
    作者: Lee, Jia-wei
    关键词: conduction shape factor;meshfree boundary integral equation method;local exact solution;Cauchy principal value;degenerate scale;Gamma function
    日期: 2023-07-17
    上传时间: 2023-10-25 12:05:35 (UTC+8)
    摘要: Regarding the steady-state heat conduction problem in exchanger tubes, the meshfree boundary integral equation method is employed to determine the conduction shape factor in this paper. Different from the conventional boundary element method, the present method is free of mesh generation. After using the parametric function to represent the boundary contour and adopting the Gaussian quadrature, only collocating points on the boundary is required to obtain the linear algebraic equations. By introducing the local exact solution, the singular integral in the sense of the Cauchy principal value can be novelly determined. In addition, the boundary layer effect due to the nearly singular integral in the boundary integral equation can be dealt with. Two cases of different boundary conditions are considered. One is the isothermal condition on both the inner and outer surfaces. The other is the isothermal condition on the inner surface and the convection condition on the outer surface. Besides, numerical instability is found and the nonuniqueness solution due to the degenerate scale is examined by calculating the conduction shape factor and the temperature on the outer surface.
    關聯: ASME Journal of Heat and Mass Transfer 145(11),　110901
    DOI: 10.1115/1.4062760
    显示于类别:[土木工程學系暨研究所] 期刊論文

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