Technical Papers
Oct 13, 2023

A Model of Thermo-Microstretch Rotating Poroelastic Medium Immersed in an Infinite Inviscid Fluid with Memory-Dependent Derivative

Publication: Journal of Engineering Mechanics
Volume 149, Issue 12

Abstract

In this study, the porous thermoelastic behavior in a half-space microstretch elastic media enveloped in an unbounded inviscid liquid with rotation using memory-dependent derivative, utilizing Green–Naghdi theory mode III (G-N III) and the three-phase-lag model (3PHL). The analytical technique used to obtain the ordinary differential equations was normal mode analysis, followed by elimination of six ordinary differential equations, and finally the characteristic equation to obtain the exact formula of the physical quantities. A Gauthier composite element is employed in an implementation to start comparing the observations rotating on thermo-microstretch elastic porous medium employing a memory-dependent derivative completely covered in the endless fluid of G-N III theory with those for the model of 3PHL. The rotation has been observed to make a significant impact over each physical quantity. Comparisons have also been made for three various wavenumber values.

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Data Availability Statement

All the data used in the study have been provided in the published article.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 12December 2023

History

Received: May 7, 2023
Accepted: Aug 7, 2023
Published online: Oct 13, 2023
Published in print: Dec 1, 2023
Discussion open until: Mar 13, 2024

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Authors

Affiliations

Mohamed I. A. Othman [email protected]
Professor, Dept. of Mathematics, Faculty of Science, Zagazig Univ., P.O. Box 44519, Zagazig, Egypt (corresponding author). Email: [email protected]
Ebtesam E. M. Eraki, Ph.D. [email protected]
Dept. of Mathematics, Faculty of Science, Zagazig Univ., P.O. Box 44519, Zagazig, Egypt. Email: [email protected]
Sarhan Y. Atwa [email protected]
Professor, Dept. of Mathematics Engineering of Physics, Higher Institute of Engineering, Shorouk Academy, El-Shorouk 11837, Egypt. Email: [email protected]
Mohamed F. Ismail, Ph.D. [email protected]
Dept. of Mathematics Engineering of Physics, Higher Institute of Engineering, Shorouk Academy, El-Shorouk 11837, Egypt. Email: [email protected]

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