收稿日期: 2010-09-13
修回日期: 2010-12-03
网络出版日期: 2011-09-15
基金资助
国家自然科学基金 (50376043)资助
A new interpolation scheme of interface parameters for radial heat conduction
Received date: 2010-09-13
Revised date: 2010-12-03
Online published: 2011-09-15
王辉 , 徐明海 . 一种新的径向导热界面参数插值格式[J]. 中国科学院大学学报, 2011 , 28(5) : 624 -629 . DOI: 10.7523/j.issn.2095-6134.2011.5.009
The variable coefficient radial heat conduction problem is studied in the present work. A reasonable computing method for heat conductance is proposed in terms of Fourier law,and the interpolation formulae for interface radius and radial heat conductivity in different coordinate systems are thus derived on the basis of the compatible principle of flux.The new interpolation schemes are evaluated in solution of several typical nonlinear and variable coefficient conduction problems, and the solutions are compared with those obtained using the schemes in the literature.Numerical tests show that the solutions obtained using the new schemes are more accurate,because the comprehensive influences of variable cross-section and variable physical property are fully considered in the new schemes.
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