Transient heat conduction in materials with linear power-law temperature-dependent thermal conductivity: Integral-balance approach

被引：0
作者：
Fabre A. [1 ]
Hristov J. [2 ]
Bennacer R. [1 ]
机构：
[1] Ecole National Superior de Cachan, Universite Paris-Saclay, Paris
[2] Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia 1756, 8 Kliment Ohridsky, blvd
来源：
Hristov, Jordan (jordan.hristov@mail.bg) | 1600年 / Tech Science Press卷 / 12期
关键词：
Integral-balance solutions; Non-linear heat conduction; Temperaturedependent thermal diffusivity;
D O I：
10.3970/fdmp.2016.012.069
中图分类号：
学科分类号：
摘要：
Closed form approximate solutions to nonlinear transient heat conduction with linear power-law κ= κ0 (1 ± βTm) temperature-dependent thermal diffusivity have been developed by the integral-balance integral method under transient conditions. The solutions use improved direct approaches of the integral method and avoid the commonly used linearization by the Kirchhoff transformation. The main steps in the new solutions are improvements in the integration technique of the double-integration technique and the optimization of the exponent of the approximate parabolic profile with unspecified exponent. Solutions to Dirichlet boundary condition problem have been developed as examples by the classical Heat-balance Integral method (HBIM) and the Doubleintegration method (DIM). © 2016 Tech Science Press.
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页码：69 / 85
页数：16
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