Analysis of thermal responses in a two-dimensional porous medium caused by pulse heat flux

doi:10.1007/s10483-020-2612-8

Abstract

Abstract: In this article, the generalized model for thermoelastic waves with two relaxation times is utilized to compute the increment of temperature, the displacement components, the stress components, and the changes in the volume fraction field in a two-dimensional porous medium. By using the Fourier-Laplace transform and the eigenvalue method, the considered variables are obtained analytically. The derived approach is estimated with numerical outcomes which are applied to the porous media with a geometrical simplification. The numerical results for the considered variables are performed and presented graphically. Finally, the outcomes are represented graphically to display the difference among the classical dynamical (CD) coupled, the Lord-Shulman (LS), and the Green-Lindsay (GL) models.

Key words: Fourier-Laplace transform, thermal relaxation time, porous medium, eigenvalue approach

2010 MSC Number:

74F05
76S05

T. SAEED, I. A. ABBAS. Analysis of thermal responses in a two-dimensional porous medium caused by pulse heat flux. Applied Mathematics and Mechanics (English Edition), 2020, 41(6): 927-938.

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