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

Influence of gravity and micro-temperatures on the thermoelastic porous medium under three theories PurposeThe 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/approachThe 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.FindingsThe 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/implicationsSome particular cases are also deduced from the present investigation.Originality/valueThe results of the physical quantities have been illustrated graphically by a comparison between three different theories in the presence and absence of gravity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

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

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0961-5539
DOI
10.1108/HFF-12-2018-0763
Publisher site
See Article on Publisher Site

Abstract

PurposeThe 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/approachThe 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.FindingsThe 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/implicationsSome particular cases are also deduced from the present investigation.Originality/valueThe results of the physical quantities have been illustrated graphically by a comparison between three different theories in the presence and absence of gravity.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Sep 2, 2019

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