Fractional Cattaneo heat equation in a semi-infinite medium

被引：0
|
作者：
续焕英 [1 ]
齐海涛 [1 ,2 ]
蒋晓芸 [3 ]
机构：
[1] School of Mathematics and Statistics, Shandong University, Weihai
[2] State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University
[3] School of Mathematics, Shandong University
来源：
Chinese Physics B | 2013年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Caputo fractional derivative; non-Fourier heat conduction; Cattaneo equation; H-function;
D O I：
暂无
中图分类号：
O551.3 [物质的热性质];
学科分类号：
0702 ;
摘要：
To better describe the phenomenon of non-Fourier heat conduction, the fractional Cattaneo heat equation is introduced from the generalized Cattaneo model with two fractional derivatives of different orders. The anomalous heat conduction under the Neumann boundary condition in a semi-infinity medium is investigated. Exact solutions are obtained in series form of the H-function by using the Laplace transform method. Finally, numerical examples are presented graphically when different kinds of surface temperature gradient are given. The effects of fractional parameters are also discussed.
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页码：338 / 343
页数：6
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