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Thermomechanical response in a two-dimension porous medium subjected to thermal loading

Tareq Saeed (Department of Mathematics, King Abdulaziz University Faculty of Sciences, Jeddah, Saudi Arabia)
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Egypt and Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 8 January 2020

Issue publication date: 19 June 2020

127

Abstract

Purpose

The purposes of this study, a mathematical model of generalized thermoelastic theory subjected to thermal loading is presented to study the wave propagation in a two-dimensional porous medium.

Design/methodology/approach

By using Fourier–Laplace transforms with the eigenvalue approach, the physical quantities are analytically obtained.

Findings

The derived method is evaluated with numerical results, which are applied to the porous medium in simplified geometry.

Originality/value

Numerical outcomes for all the physical quantities considered are implemented and represented graphically. The variations of temperature, the changes in volume fraction field, the displacement components and the stress components have been depicted graphically.

Keywords

Acknowledgements

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No (DF-784-130-1441). The authors, therefore, gratefully acknowledge the DSR technical and financial support.

Citation

Saeed, T. and Abbas, I. (2020), "Thermomechanical response in a two-dimension porous medium subjected to thermal loading", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 8, pp. 4103-4117. https://doi.org/10.1108/HFF-11-2019-0803

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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