Numerical solution of FSPL heat conduction equation for analysis of thermal propagation

被引：10

作者：

Mishra, T. N. ^{[1
]}

Rai, K. N. ^{[2
]}

机构：

[1] BHU, Fac Sci, DST CIMS, Varanasi, Uttar Pradesh, India

[2] IIT BHU, Math Sci, Varanasi, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷

关键词：

SRL heat conduction model; FSPL heat conduction model; Fractional Taylor series formula; Laser heat source; Compact difference scheme; Unconditional stability; SOLIDS;

D O I：

10.1016/j.amc.2015.10.082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fractional single-phase-lagging (FSPL) heat conduction model is obtained by applying fractional Taylor series formula to the single-phase-lagging (SPL) heat conduction model. Based on the FSPL heat conduction equation, thermal wave propagation within a finite thin film subjected to time-varying and spatially-decaying laser heating at left boundary (x = 0) is investigated. The effect of different parameters on temperature solution has been observed. Results were obtained by compact difference scheme. The stability of the numerical scheme has been discussed and observed that the solution is unconditionally stable. The whole analysis is presented in dimensionless form. A numerical example of particular interest has been studied and discussed in details. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1006 / 1017

页数：12

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