Influence of gravity and micro-temperatures on the thermoelastic porous medium under three theories

Abstract

Purpose

The purpose of this study is to obtain a general solution to the field equations of thermoelastic solid with voids and micro-temperatures under the gravitational field in the context of the three theories, namely, coupled theory (CT), Lord and Shulman theory and Green and Lindsay theory.

Design/methodology/approach

The normal mode analysis is used to obtain the exact expressions for the considered variables. Comparisons are made with the results obtained in the three theories with and without gravity. Some particular cases are also deduced from the present investigation.

Findings

The effect of the gravity on the displacement, the micro-temperature vector, the temperature distribution, the normal stress, the changes in the volume fraction field and the heat flux moments have been depicted graphically.

Research limitations/implications

Some particular cases are also deduced from the present investigation.

Originality/value

The results of the physical quantities have been illustrated graphically by a comparison between three different theories in the presence and absence of gravity.

Citation

Othman, M.I.A. and Abd-Elaziz, E.M. (2019), "Influence of gravity and micro-temperatures on the thermoelastic porous medium under three theories", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 9, pp. 3242-3262. https://doi.org/10.1108/HFF-12-2018-0763