Unsteady flow of a Maxwell fluid in a porous rectangular duct. | [Science International • 2013]

Author(s):

1. Q. Sultan: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

2. M. Nazar: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

3. W. Akhtar: Institute of Space Technology (IST), Islamabad, Pakistan

4. U. Ali: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

Abstract:

The analytic solution for the unsteady magnetohydrodynamic (MHD) flow of Maxwell fluid in long porous rectangular cross-section is studied. Two flow problems are considered: (i) Flow in an oscillating rectangular duct and (ii) Flow in a duct induced by an oscillating pressure gradient. The problems are solved by applying the double finite Fourier sine and Laplace transforms by taking into account the modified Darcy s law. The effects of magnetic parameter and porosity of medium on the velocity profile, the corresponding tangential tensions and volume flow rate for both the problems, and the influence of various material parameters on the velocity profile for the second problem are presented graphically and discussed.

Page(s): 181-194

DOI: DOI not available

Published: Journal: Science International, Volume: 25, Issue: 2, Year: 2013

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