A new approximate-analytical method to solve non-Fourier heat conduction problems

被引：0
|
作者：
Noroozi, Mohammad J. [1 ]
Saedodin, Seyfolah [1 ]
Ganji, Davood D. [2 ]
机构：
[1] Semnan Univ, Fac Mech Engn, POB 35131-19111, Semnan, Iran
[2] Babol Univ Technol, Dept Mech Engn, POB 484, Babol Sar, Iran
来源：
KUWAIT JOURNAL OF SCIENCE | 2017年 / 44卷 / 02期
关键词：
C-V model; laser heating; non-Fourier; thin film; variational iteration method; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD; LAPLACE TRANSFORM; TRANSFER EQUATION; CONVERGENCE; DIFFUSION; WAVE; RADIATION; SYSTEMS; BODY;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, the effect of laser as a heat source on a thin film was investigated. The non-Fourier heat conduction model of Cattaneo-Vernotte was used for thermal analysis of the problem. The thermal conductivity was assumed temperaturedependent, which resulted in a non-linear equation and by assuming the role of laser as a heat source, a non-homogeneous equation was obtained. The obtained equations were solved using approximate-analytical method of variational iteration method (VIM). It was concluded that the non-linear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in the similar problems.
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页码：87 / 96
页数：10
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