The Peristaltic Flow of Jeffrey Fluid through a Flexible Channel

Dheia G. Salih Al-Khafajy; Noor AL-Huda Kareem AL-Khalidi

doi:10.24996/ijs.2022.63.12.33

Authors

Dheia G. Salih Al-Khafajy Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniya, Iraq
Noor AL-Huda Kareem AL-Khalidi Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniya, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.12.33

Keywords:

Jeffrey fluid, peristaltic flow, wall properties, cylindrical coordinates

Abstract

The purpose of this study is to calculate the effect of the elastic wall of a hollow channel of Jeffrey's fluid by peristaltic flow through two concentric cylinders. The inside tube is cylindrical and the outside is a regular elastic wall in the shape of a sine wave. Using the cylindrical coordinates and assuming a very short wavelength relative to the width of the channel to its length and using governing equations for Jeffrey’s fluid in Navier-Stokes equations, the results of the problem are obtained. Through the Mathematica program these results are analysed.