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The gravitational field effect on a micro-elongated thermoelastic layer under a fluid load with two theories

Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt)
Mohamed F. Ismail (Department of Mathematics Engineering and Physics, Higher Institute of Engineering, Shorouk Academy, Al Shorouk City, Egypt)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 30 August 2022

Issue publication date: 12 October 2022

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Abstract

Purpose

This paper aims to study the gravity effects on a micro-elongated thermoelastic layer under a fluid load, utilizing the Lord–Shulman (L-S) theory and the dual-phase-lag (DPL) model.

Design/methodology/approach

The analytical method used was the normal mode which partial differential equations transform into ordinary differential equations.

Findings

Aluminum epoxy numerical computations are carried out, and the results are graphed. The DPL model and the L-S theory are compared in the complete absence and presence of gravity. Comparisons were also made for three values of and it is observed that the gravity has quite a massive influence on all physical quantities.

Originality/value

In the present paper, the authors shall create the general equation for the energy equation, which includes the two theories (DPL and L-S) as well as the solution of micro-elongated thermoelasticity under fluid load. The problem is pretty important in many dynamical systems.

Keywords

Citation

Othman, M.I.A. and Ismail, M.F. (2022), "The gravitational field effect on a micro-elongated thermoelastic layer under a fluid load with two theories", Multidiscipline Modeling in Materials and Structures, Vol. 18 No. 5, pp. 757-771. https://doi.org/10.1108/MMMS-04-2022-0072

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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