| 一种新的径向导热界面参数插值格式 |
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| 作者姓名： | 王辉 徐明海 |
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| 作者单位： | 中国石油大学(华东)储运与建筑工程学院, 青岛 266555 |
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| 基金项目： | 国家自然科学基金 (50376043)资助 |
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| 摘 要： | 以变系数径向导热问题为研究对象,由傅里叶导热定律提出了较之文献更为合理的热导计算方法.根据流的相容性原理分别推导得出极坐标、柱坐标和球坐标系下新的界面半径和界面导热系数插值格式.通过几个变系数和非线性导热问题对插值格式进行考核,并与文献中的插值格式进行对比.结果表明,推导的格式充分考虑了变截面和变物性的综合影响,对于非线性和变系数导热问题能得到更精确的结果.
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| 关 键 词： | 界面参数 插值格式 非线性 变截面 导热方程 |
| 收稿时间： | 2010-09-13 |
| 修稿时间： | 2010-12-03 |
A new interpolation scheme of interface parameters for radial heat conduction |
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| Authors: | WANG Hui XU Ming-Hai |
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| Institution: | School of Transport & Storage and Civil Engineering, China University of Petroleum, Qingdao 266555, China |
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| Abstract: | 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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| Keywords: | interface parameters interpolation scheme nonlinearity variable cross-section heat conduction equation |
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