Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium

被引：8
|
作者：
Castro, M. A. [1 ]
Rodriguez, F. [1 ]
Escolano, J. [1 ]
Martin, J. A. [1 ]
机构：
[1] Univ Alicante, Dept Matemat Aplicada, E-03080 Alicante, Spain
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
FINITE-DIFFERENCE SCHEME; TRANSPORT-EQUATION; LA CHALEUR; DIFFUSION EQUATION; MIXED PROBLEMS; THIN-FILM; CONDUCTION; PROPAGATION; MICROSCALE; NANOFLUIDS;
D O I：
10.1155/2013/397053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Different non-Fourier models of heat conduction have been considered in recent years, in a growing area of applications, to model microscale and ultrafast, transient, nonequilibrium responses in heat and mass transfer. In this work, using Fourier transforms, we obtain exact solutions for different lagging models of heat conduction in a semi-infinite domain, which allow the construction of analytic-numerical solutions with prescribed accuracy. Examples of numerical computations, comparing the properties of the models considered, are presented.
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页数：6
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