Journal of University of Chinese Academy of Sciences >
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
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.
WANG Hui , XU Ming-Hai . A new interpolation scheme of interface parameters for radial heat conduction[J]. Journal of University of Chinese Academy of Sciences, 2011 , 28(5) : 624 -629 . DOI: 10.7523/j.issn.2095-6134.2011.5.009
[1] Versteeg H K, Malalasekera W. An introduction to computational fluid dynamics,The finite volume method
[M].Essex Longman Scientific & Technical, 1995: 87.
[2] Patankar S V. Numerical heat transfer and fluid flow
[M]. New York: Hemisphere, 1980: 41-74.
[3] Chang K C, Payne U J. Numerical treatment of diffusion coefficient at interfaces
[J]. Numerical Heat Transfer,Part A, 1992,21: 363-376.
[4] Patankar S V. A numerical method for conduction in composite materials, flow in irregular geometries and conjugate heat transfer //Proceeding of Sixth International Heat Transfer Conference. Toronto, Canada, 1978, 3: 297-302.
[5] Voller V R, Swaminathan C R. Treatment of discontinuous thermal conductivity in control-volume solutions of phase-change problems
[J]. Numerical Heat Transfer, Part B, 1993, 24: 161-180.
[6] Liu Z L, Ma C F. A new numerical interpolation method for diffusion coefficients at interfaces
[J], Journal of Engineering Thermophysics, 2003, 24(6): 1031-1033(in Chinese). 刘中良,马重芳. 一种控制界面参数插值的新方法
[J]. 工程热物理学报,2003,24(6):1031-1033.
[7] Date A W. Introduction to computational fluid dynamics
[M]. New York: Cambridge University Press, 2005: 17- 47.
[8] Wang H, Xu M H. Modification of interpolation scheme for thermal conductivity at boundary interfaces
[J]. Journal of Yanshan University, 2010, 34(5):411- 416 (in Chinese). 王辉,徐明海. 边界界面导热系数插值格式的改进
[J]. 燕山大学学报,2010,34(5):411- 416.
[9] 阿齐兹,塞特瑞. 油藏数值模拟
[M]. 北京:石油工业出版社,2004:58-62.
[10] 陶文铨. 数值传热学
[M]. 第2版. 西安: 西安交通大学出版社,2001:88-99.
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