Integral solutions to transient nonlinear heat (mass) diffusion with a power-law diffusivity: a semi-infinite medium with fixed boundary conditions

被引：0
|
作者：
Jordan Hristov
机构：
[1] University of Chemical Technology and Metallurgy,Department of Chemical Engineering
来源：
Heat and Mass Transfer | 2016年 / 52卷
关键词：
Penetration Depth; Series Solution; Flux Boundary Condition; Transient Heat Conduction; Pointwise Error;
D O I：
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中图分类号：
学科分类号：
摘要：
Closed form approximate solutions to nonlinear heat (mass) diffusion equation with power-law nonlinearity of the thermal (mass) diffusivity have been developed by the integral-balance method avoiding the commonly used linearization by the Kirchhoff transformation. The main improvement of the solution is based on the double-integration technique and a new approach to the space derivative. Solutions to Dirichlet and Neumann boundary condition problems have been developed and benchmarked against exact numerical and approximate analytical solutions available in the literature.
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页码：635 / 655
页数：20
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