Three-phase lag model of thermo-elastic interaction in a 2D porous material due to pulse heat flux
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 23 April 2020
Issue publication date: 16 November 2020
Abstract
Purpose
The purposes of this study, a generalized model for thermoelastic wave under three-phase lag (TPL) model is used to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimension porous medium.
Design/methodology/approach
By using Laplace-Fourier transformations with the eigen values methodologies, the analytical solutions of all physical variables are obtained.
Findings
The derived methods are estimated with numerical outcomes which are applied to the porous media in simplified geometry.
Originality/value
Finally, the outcomes are represented graphically to display the difference among the models of the TPL and the Green and Naghdi (GNIII) with and without energy dissipations.
Keywords
Acknowledgements
This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia, under Grant No. (KEP-72-130-38). The authors, therefore, acknowledge with thanks DSR technical and financial support.
Citation
Hobiny, A., Alzahrani, F.S. and Abbas, I. (2020), "Three-phase lag model of thermo-elastic interaction in a 2D porous material due to pulse heat flux", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 12, pp. 5191-5207. https://doi.org/10.1108/HFF-03-2020-0122
Publisher
:Emerald Publishing Limited
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