Open Access

ARTICLE

Wave Propagation Model in a Human Long Poroelastic Bone under Effect of Magnetic Field and Rotation

A. M. Abd-Alla^1,*, Hanaa Abu-Zinadah², S. M. Abo-Dahab³, J. Bouslimi^4,5, M. Omri⁶

1 Department of Mathematics, Sohag University, Sohag, Egypt
2 Department of Statistics, University of Jeddah, College of Science, Jeddah, Saudi Arabia
3 Department of Mathematics, South Valley University, Qena, 83523, Egypt
4 Department of Engineering Physics and Instrumentation, National Institute of Applied Sciences and Technology, Carthage University, Tunisia
5 Department of Physics, Taif University, Taif, Saudi Arabia
6 Deanship of Scientific Research, King Abdulaziz University, Jeddah, Saudi Arabia

* Corresponding Author: A. M. Abd-Alla. Email:

Computers, Materials & Continua 2021, 68(2), 1485-1504. https://doi.org/10.32604/cmc.2021.012586

Received 10 June 2020; Accepted 20 August 2020; Issue published 13 April 2021

Abstract

This article is aimed at describing the way rotation and magnetic field affect the propagation of waves in an infinite poroelastic cylindrical bone. It offers a solution with an exact closed form. The authors got and examined numerically the general frequency equation for poroelastic bone. Moreover, they calculated the frequencies of poroelastic bone for different values of the magnetic field and rotation. Unlike the results of previous studies, the authors noticed little frequency dispersion in the wet bone. The proposed model will be applicable to wide-range parametric projects of bone mechanical response. Examining the vibration of surface waves in rotating cylindrical, long human bones under the magnetic field can have an impact. The findings of the study are offered in graphs. Then, a comparison with the results of the literature is conducted to show the effect of rotation and magnetic field on the wave propagation phenomenon. It is worth noting that the results of the study highly match those of the literature.

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Keywords

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