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

共 50 条

[1] Numerical Solution of Hyperbolic Heat Conduction Equation
Ciegis, R.
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2009, 14 (01) : 11 - 24
[2] Accurate analytical/numerical solution of the heat conduction equation
Campo, Antonio
Salazar, Abraham J.
Celentano, Diego J.
Raydan, Marcos
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (07) : 1519 - 1536
[3] NUMERICAL SOLUTION OF HEAT CONDUCTION EQUATION IN 1 DIMENSION
WADSWORTH, M
WRAGG, A
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (04): : 897 - &
[4] Numerical solution of the heat conduction equation with the electro-thermal analogy and the code PSPICE
Alhama, F
Campo, A
Zueco, J
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (01) : 103 - 113
[5] Difference schemes for the numerical solution of the heat conduction equation with aftereffect
Pimenov, V. G.
Lozhnikov, A. B.
[J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2011, 17 (01): : 178 - 189
[6] Numerical solution of integrodifferential heat conduction equation for a nonlocal medium
Kuvyrkin G.N.
Savelyeva I.Y.
[J]. Mathematical Models and Computer Simulations, 2014, 6 (1) : 1 - 8
[7] Difference schemes for the numerical solution of the heat conduction equation with aftereffect
Pimenov, V. G.
Lozhnikov, A. B.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2011, 275 : 137 - 148
[8] Difference schemes for the numerical solution of the heat conduction equation with aftereffect
V. G. Pimenov
A. B. Lozhnikov
[J]. Proceedings of the Steklov Institute of Mathematics, 2011, 275 : 137 - 148
[9] Numerical solution of radiative transfer equation coupled with nonlinear heat conduction equation
Asllanaj, F
Jeandel, G
Roche, JR
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2001, 11 (5-6) : 449 - 472
[10] ANALYTICAL-NUMERICAL SOLUTION OF THE INVERSE PROBLEM FOR THE HEAT CONDUCTION EQUATION
Cialkowski, Michal
Mackiewicz, Andrzej
Kolodziej, Jan Adam
Gampe, Uwe
Frackowiak, Andrzej
[J]. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2012, 7 (03) : 239 - 253

← 1 2 3 4 5 →