关键词: 界面参数, 插值格式, 非线性, 变截面, 导热方程

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.

Key words: interface parameters, interpolation scheme, nonlinearity, variable cross-section, heat conduction equation