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Open AccessArticle

An Eigenvalues Approach for a Two-Dimensional Porous Medium Based Upon Weak, Normal and Strong Thermal Conductivities

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Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21521, Saudi Arabia
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Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
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Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(5), 848; https://doi.org/10.3390/sym12050848
Received: 14 April 2020 / Revised: 9 May 2020 / Accepted: 14 May 2020 / Published: 21 May 2020
(This article belongs to the Special Issue Composite Structures with Symmetry)
This work is devoted to the investigation of a two-dimensional porous material under weak, strong and normal conductivity, using the eigenvalues method. By using Laplace–Fourier transformations with the eigenvalues technique, the variables are analytically obtained. The derived technique is assessed with numerical results that are obtained from the porous mediums using simplified symmetric geometry. The results, including the displacements, temperature, stresses and the change in the volume fraction field, are offered graphically. Comparisons are made among the outcomes obtained under weak, normal and strong conductivity. View Full-Text
Keywords: eigenvalues approach; weak; normal and strong conductivity; Laplace–Fourier transforms; porous medium eigenvalues approach; weak; normal and strong conductivity; Laplace–Fourier transforms; porous medium
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MDPI and ACS Style

Alzahrani, F.; Hobiny, A.; Abbas, I.; Marin, M. An Eigenvalues Approach for a Two-Dimensional Porous Medium Based Upon Weak, Normal and Strong Thermal Conductivities. Symmetry 2020, 12, 848.

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