Journal of Prime Research in Mathematics

Magnetohydrodynamics of rotating fractional second grade fluid in porous medium

Azhar Ali Zafar
Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan.
Department of Mathematics, GC University Lahore, Pakistan.
Dumitru Vieru
Department of Theoratical Mechanics, Technical University of Iasi, Romania.
Shahraz Akhtar
Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan.

$$^{1}$$Corresponding Author: azharalizafar@gmail.com

Abstract

Exact solution for the unsteady flow of a fractional second grade fluid through the porous medium under the influence of magnetic field in the direction normal to the flow has been investigated using the integral transforms. Expressions for dimensionless velocity have been obtained and are presented in terms of Fox’s H–function. The influence of the fractional parameter on the fluid motion is studied and a comparison between velocity of the fractional and classical fluid is made.

Keywords:

Second grade fluid, fractional calculus, magnetohydrodynamics, velocity field.