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Analysis of reflection of wave propagation in magneto-thermoelastic nonlocal micropolar orthotropic medium at impedance boundary

Anand Kumar Yadav (Department of Mathematics, Shishu Niketan Model Senior Secondary School, Chandigarh, India)
Hari Shankar Mahato (Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India)
Sangeeta Kumari (Department of Mathematics, Chandigarh University, Mohali, India)
Pawel Jurczak (Institute of Mechanical Engineering, University of Zielona Gora, Zielona Gora, Poland)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 22 July 2024

Issue publication date: 4 September 2024

52

Abstract

Purpose

This study aims to examine the plane wave reflection problem in micropolar orthotropic magneto-thermoelastic half space, considering the influence of impedance as a boundary in a nonlocal elasticity.

Design/methodology/approach

This study presents the novel formulation of governing partial differential equations for micropolar orthotropic medium with impact of nonlocal thermo-elasticity under magnetic field.

Findings

This study provides the numerical results validation for a particular numerical data and expression for the amplitude ratios of reflected waves and identifies the existence of four different waves, namely, quasi longitudinal displacement qCLD-wave, quasi thermal wave qCT-wave, quasi transverse displacement qCTD-wave and quasi-transverse micro-rotational qCTM-wave. The study derives the velocity equation giving the speed and phase velocity of these waves. The study also shows that the small-scale size effect gives significant impact on phase velocity.

Research limitations/implications

The graphical analysis examines the variation of speeds and coefficients of attenuation of these waves due to frequency, magnetic field and nonlocal parameters. Also, significant conclusions on the variation of reflection coefficient against nonlocal parameter, frequency, impedance parameter and angle of incidence are provided graphically.

Practical implications

The creation of more effective micropolar orthotropic anisotropic materials which are very useful in the daily life and their applications in earth science are greatly impacted by the findings of this study.

Originality/value

The authors of the submitted document initiated and produced it collectively, with equal contributions from all members.

Keywords

Acknowledgements

Disclosure statement: No competing interests exist.

Ethics statement: This research follows rules and regulation of research ethics.

Funding: No organization has provided funding to the authors.

Availability of data and materials: For data been seized from Kumar and Choudhary (2002).

Citation

Yadav, A.K., Mahato, H.S., Kumari, S. and Jurczak, P. (2024), "Analysis of reflection of wave propagation in magneto-thermoelastic nonlocal micropolar orthotropic medium at impedance boundary", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 9, pp. 3416-3437. https://doi.org/10.1108/HFF-02-2024-0095

Publisher

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Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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