Steady state heat conduction in exchanger tubes by using the meshfree boundary integral equation method: conduction shape factor and degenerate scale
學年 112
學期 1
出版（發表）日期 2023-11-01
作品名稱 Steady state heat conduction in exchanger tubes by using the meshfree boundary integral equation method: conduction shape factor and degenerate scale
作品名稱（其他語言）
著者 J. W. Lee, H. W. Yang and J. T. Chen
單位
出版者
著錄名稱、卷期、頁數 ASME Journal of Heat and Mass Transfer 145(11),　111901
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.
關鍵字 conduction shape factor;meshfree boundary integral equation method;local exact solution;Cauchy principal value;degenerate scale;Gamma function
語言 en_US
ISSN 2832-8450
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版
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