Abstract
In this research article, we will find the velocity for time dependent pressure gradient which may increases, decreases or pulsate with respect to time. The MHD flow of a Burgers’ fluid with porous medium in circular channel is take into account for the study. We derived the governing equation for the analytical solutions of this problem. The solution for the velocity field are give in the form of Bessel and modified Bessel function of zero order by using the modified Darcy’s law and the resistance of the porous medium. The behaviour of other physical, magnetic and permeability parameters is observed by assuming constant value of pressure gradient. The graphical depict and possible special cases are also discussed.

Rabia Safdar, Muhammad Imran, Madeeha Tahir, N. Sadiq, M. A. Imran. (2018) MHD Flow of Burgers’ Fluid under the Effect of Pressure Gradient Through a Porous Material Pipe, Punjab University Journal of Mathematics, Volume 50, Issue 4.
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