Exact and analytic-numerical solutions of lagging models of heat transfer in a semi-infinite medium


Autoria(s): Castro, María Ángeles; Rodríguez, Francisco; Escolano Cerdán, Julio; Martín Alustiza, José Antonio
Contribuinte(s)

Universidad de Alicante. Departamento de Matemática Aplicada

Ecuaciones Diferenciales con Retardo

Análisis de Datos y Modelización de Procesos en Biología y Geociencias

Data(s)

13/01/2014

13/01/2014

2013

Resumo

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.

Identificador

Abstract and Applied Analysis. 2013, Article ID 397053, 6 pages. doi:10.1155/2013/397053

1085-3375 (Print)

1687-0409 (Online)

http://hdl.handle.net/10045/34916

10.1155/2013/397053

Idioma(s)

eng

Publicador

Hindawi Publishing Corporation

Relação

http://dx.doi.org/10.1155/2013/397053

Direitos

Copyright © 2013 M. A. Castro et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

info:eu-repo/semantics/openAccess

Palavras-Chave #Exact solutions #Analytic-numerical solutions #Lagging models #Heat conduction #Semi-infinite domain #Matemática Aplicada
Tipo

info:eu-repo/semantics/article