The Cattaneo-type time fractional heat conduction equation for laser   heating

doi:10.1016/j.camwa.2012.11.021

CORC > 北京大学 > 工学院

	The Cattaneo-type time fractional heat conduction equation for laser heating
	Qi, Hai-Tao ; Xu, Huan-Ying ; Guo, Xin-Wei
刊名	computers mathematics with applications
	2013
关键词	Non-Fourier heat conduction Laser heating Fractional derivative Fox&apos LA CHALEUR PROPAGATION DIFFUSION LEQUATION ORDER s H-function
DOI	10.1016/j.camwa.2012.11.021
英文摘要	In this paper, the laser short-pulse heating of a solid surface is considered. The time fractional Cattaneo model is used as the heat conduction model and the corresponding fractional heat conduction equation with a volumetric heat source is built. The analytical solution for the temperature distribution is obtained using the Laplace transformation method. Finally, the numerical results are presented graphically for various values of model parameters, and their effects on the speed of heat conduction propagation are discussed. (C) 2012 Elsevier Ltd. All rights reserved.; Mathematics, Applied; SCI(E); EI; 4; ARTICLE; 5; 824-831; 66
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154424]
专题	工学院
推荐引用方式 GB/T 7714	Qi, Hai-Tao,Xu, Huan-Ying,Guo, Xin-Wei. The Cattaneo-type time fractional heat conduction equation for laser heating[J]. computers mathematics with applications,2013.
APA	Qi, Hai-Tao,Xu, Huan-Ying,&Guo, Xin-Wei.(2013).The Cattaneo-type time fractional heat conduction equation for laser heating.computers mathematics with applications.
MLA	Qi, Hai-Tao,et al."The Cattaneo-type time fractional heat conduction equation for laser heating".computers mathematics with applications (2013).