Thermoelastic Modeling with Dual Porosity Interacting with an Inviscid Liquid

Document Type : Research Paper


1 Department of Mathematics, Indira Gandhi University, Meerpur, 123401, India

2 Department of Mathematics, HPU Regional Centre, Dharamshala, 176218, India

3 Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, 42210, Saudi Arabia

4 Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia, 99138, Turkey

5 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon


This study introduces a two-dimensional thermoelastic model for a homogeneous isotropic half-space with double porosity underlying an inviscid liquid half-space featuring temperature variations. The model incorporates the three-phase lag (TPL) heat equation and reveals that in the solid half-space, four coupled longitudinal waves intertwine with one uncoupled transverse wave, while one mechanical wave ripples through the liquid half-space. The investigation highlights dispersion, attenuation, and other effects affected by the thermal properties and the presence of voids. Using plane wave solutions and boundary conditions at the interface, a concise expression for the frequency equation of the model has been derived. Furthermore, the magnitudes of the displacements in the solid half-space and liquid half-spaces, the temperature change, and the volume fractional fields at the interface have been precisely determined. In the graphical section, computer-simulated results of various wave profiles for magnesium crystal material have been generated for different heat conduction thermoelastic models. The study's implications span various fields, such as hydrology, engineering, ultrasonics, navigation, and electronics.


Main Subjects

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