Eur. Phys. J. Plus (2022) 137: 388
https://doi.org/10.1140/epjp/s13360-022-02549-2

Regular Article

The Maxwellian peristaltic transport of the MHD flow via elastic channel

¹ Basic Engineering Sciences Department, Faculty of Engineering, University of Menofia, Shebin El-Kom, Egypt
² Basic Engineering Sciences Department, Elmenofia Higher Institute of Engineering and Technology, El-Menofia, Egypt
³ Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia
⁴ Physics and Engineering Mathematics Department, Faculty of Engineering, University of Tanta, Tanta, Egypt

^b hm.alotaibi@tu.edu.sa

Received: 2 January 2022
Accepted: 1 March 2022
Published online: 23 March 2022

Abstract

The study of peristalsis is a subject of active interest in different fields due to a wide variety of applications including chemical engineering, electronics, physiology as well as in biomedicines. This paper focuses on studying the magnetohydrodynamic peristaltic motion of Maxwell’s viscous compressible fluid through a two-dimensional duct with an elastic flexible wall via a porous medium. The combined impacts of a magnetic flux density, physical parameters, permeability parameter, and the elastic wall features on the flow are the focus of attention. To get the solution of the governing equations, the perturbation approach is used and takes the small amplitude ratio. In the second approximate order, the analytical relations of average velocity at the channel's axis and the perturbation function of average velocity are introduced and discussed graphically under different values of interest parameters. The results indicate that the dynamic behavior of the flow as the elastic artery wall damping decreases the blood velocity, and the magnetic flux also reduces the blood velocity near the boundaries of the artery. The accumulation of fats induces the porosity that limits movement that can adversely affect the heart.