Steady State Heat Conduction in Exchanger Tubes by Using the Meshfree Boundary Integral Equation Method: Conduction Shape Factor and Degenerate Scale

Author:

Lee Jia-Wei1ORCID,Yang Hung-Wen1,Chen Jeng-Tzong23456ORCID

Affiliation:

1. Department of Civil Engineering, Tamkang University, New Taipei City 251301, Taiwan

2. Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung 202301, Taiwan ; , Keelung 202301, Taiwan ; Keelung 202301, Taiwan ; Tainan 701, Taiwan ; Taipei 106319, Taiwan

3. Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University Keelung 202301, Taiwan ; , Keelung 202301, Taiwan ; Keelung 202301, Taiwan ; Tainan 701, Taiwan ; Taipei 106319, Taiwan

4. Center of Excellence for Ocean Engineering, National Taiwan Ocean University, Keelung 202301, Taiwan ; , Keelung 202301, Taiwan ; Keelung 202301, Taiwan ; Tainan 701, Taiwan ; Taipei 106319, Taiwan

5. Department of Civil Engineering, National Cheng Kung University, Keelung 202301, Taiwan ; , Keelung 202301, Taiwan ; Keelung 202301, Taiwan ; Tainan 701, Taiwan ; Taipei 106319, Taiwan

6. Department of Civil Engineering, National Taiwan University, Keelung 202301, Taiwan ; , Keelung 202301, Taiwan ; Keelung 202301, Taiwan ; Tainan 701, Taiwan ; Taipei 106319, Taiwan

Abstract

AbstractRegarding 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.

Publisher

ASME International

Reference43 articles.

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