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

[31] Numerical Solution of Transient Heat Conduction Equation with Variable Thermophysical Properties by the Tau Method
Talati, Faramarz
Tavakoli, Erfan
Shahmorad, Sedaghat
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (03) : 964 - 977
[32] REFINEMENT OF SOLUTION TO EQUATION OF HEAT CONDUCTION IN A FLAME
ROZLOVSKII, A
[J]. DOKLADY AKADEMII NAUK SSSR, 1961, 136 (05): : 1150 - &
[33] A FORM OF WAVE PROPAGATION ASSOCIATED WITH THE EQUATION OF HEAT CONDUCTION
KENDALL, DG
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1948, 44 (04): : 591 - 594
[34] SOLUTION OF HEAT CONDUCTION EQUATION WITH TEMPERATURE DEPENDENT GENERATION AND THERMAL CONDUCTIVITY BY GPM.
Aziz, A.
Na, T.Y.
[J]. Industrial Mathematics, 1981, 31 (pt 2): : 67 - 73
[35] A numerical solution of an inverse heat conduction problem
Shidfar, A
Pourgholi, R
[J]. ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 341 - 343
[36] Numerical solution of the heat conduction problem with memory
Vabishchevich, P. N.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 118 : 230 - 236
[37] The numerical analysis of the weighted average method for heat conduction equation in one dimension
Li, Hongxia
[J]. JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2015, 15 (04) : 653 - 661
[38] NUMERICAL-SOLUTION OF TRANSIENT HEAT-CONDUCTION EQUATION FOR HEAT-TREATABLE ALLOYS WHOSE THERMAL-PROPERTIES CHANGE WITH TIME AND TEMPERATURE
FARNIA, K
BECK, JV
[J]. JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1977, 99 (03): : 471 - 478
[39] Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity
Lekomtsev, Andrey
Pimenov, Vladimir
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 83 - 93
[40] NUMERICAL SOLUTION OF A HEAT EQUATION ASSOCIATED WITH A THERMAL PRINT HEAD .2.
MORRIS, JL
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1971, 7 (01) : 102 - &

← 1 2 3 4 5 →