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Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium
Author(s) -
María Ángeles Castro,
Francisco Rodríguez,
José Escolano,
José Antonio Martín Alustiza
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/397053
Subject(s) - thermal conduction , microscale chemistry , lagging , mathematics , heat transfer , fourier transform , computation , work (physics) , transient (computer programming) , domain (mathematical analysis) , numerical analysis , non equilibrium thermodynamics , mathematical analysis , mechanics , thermodynamics , computer science , physics , algorithm , statistics , mathematics education , operating system
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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