A Study of Magnetohydrodynamic Flow of Conducting Walter’s Visco-Elastic Fluid in a Long Uniform Rectangular Channel

AUTHOR AND
AFFILIATION

ANIL TRIPATHI (atkkdc@gmail.com)
Department of Mathematics, K.K. (P.G.) College, Etawah (U.P.), (India)

KEYWORDS:

Magnetohydrodynamic, visco-elastic, pressure gradient, Magnetic field, 2010 MSC u2013 76W05

Issue Date:

July, 2017

Pages:

284-289

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.29 – No.7

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/290707

ABSTRACT:

The aim of the present paper is to study the magneto hydrodynamic flow of conducting Walter’s visco-elastic fluid in a long uniform straight channel of rectangular cross-section under the influence of time varying pressure gradient and uniform magnetic field applied perpendicularly to the flow of fluid. The exact solution for the velocity of fluid has been obtained by using integral transform technique. Some particular cases of pressure gradient have been discussed in detail. Also we have discussed the case when magnetic field is withdrawn. Besides, the corresponding viscous flow problem has been derived as a limiting case when the relaxation time parameter tends to become zero.

Copy the following to cite this Article:

A. Tripathi, “A Study of Magnetohydrodynamic Flow of Conducting Walter’s Visco-Elastic Fluid in a Long Uniform Rectangular Channel”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 7, Page Number 284-289, 2017


Copy the following to cite this URL:


The aim of the present paper is to study the magneto hydrodynamic flow of conducting Walter’s visco-elastic fluid in a long uniform straight channel of rectangular cross-section under the influence of time varying pressure gradient and uniform magnetic field applied perpendicularly to the flow of fluid. The exact solution for the velocity of fluid has been obtained by using integral transform technique. Some particular cases of pressure gradient have been discussed in detail. Also we have discussed the case when magnetic field is withdrawn. Besides, the corresponding viscous flow problem has been derived as a limiting case when the relaxation time parameter tends to become zero.