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     Research Journal of Mathematics and Statistics


Peristaltic Flow of Non-Newtonian Fluid with Slip Effects: Analytic and Numerical Solutions

1, 2M.M. Hasan, 2M.A. Samad and 2M.M. Hossain
1Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh
2Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
Research Journal of Mathematics and Statistics  2019  1:1-10
http://dx.doi.org/10.19026/rjms.11.5384  |  © The Author(s) 2019
Received: July 30, 2019   |  Accepted: August 27, 2019  |  Published: December 25, 2019

Abstract

This study describes two-dimensional peristaltic flow of non-Newtonian fluid through a porous asymmetric channel under the influence of the magnetic field. The slip effect is included in the model. The flow is investigated in a wave frame of reference moving with a velocity of the wave. The momentum equations are linearized using long wavelength and low Reynolds number approximation. The transformed equations have been solved numerically. Analytic solutions for stream function, velocity and pressure gradient are also obtained. The effects of various physical parameters of interest have been explained graphically. It is found that the size of the trapped bolus reduces for large value of the velocity slip parameter.

Keywords:

Axial velocity, casson fluid, numerical solution, peristaltic flow, slip parameter, trapped bolus,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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