Magnetohydrodynamic Viscous Oscillatory Stratified Flow in a Vertical Narrow Channel with a Porous Wall

L  Prasanna Venkatesh; S  Ganesh and K  B  Naidu

doi:10.17485/ijst/2015/v8i3/59975

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Magnetohydrodynamic Viscous Oscillatory Stratified Flow in a Vertical Narrow Channel with a Porous Wall

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i3/59975

Year: 2015, Volume: 8, Issue: 3, Pages: 222–230

Original Article

Magnetohydrodynamic Viscous Oscillatory Stratified Flow in a Vertical Narrow Channel with a Porous Wall

L. Prasanna Venkatesh^* , S. Ganesh and K. B. Naidu

Department of Mathematics, Sathyabama University, Chennai - 600 119, Tamil Nadu, India; prasannaclassof1@gmail.com

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper we consider Magnetohydrodynamic viscous oscillatory fully developed flow of stratified fluid in a long vertical narrow rectangular channel with one side being pervious and the other side being impervious. By applying Lubrication approximation and similarity transformation, closed form solutions are obtained. The graphical interpretations of the effects of various parameters related to the problem on transverse and axial velocity profiles are illustrated in detail. The outcome of the investigation reveals that the stratification effects reverse the flow near the center of the channel while magnetohydrodynamic effects make the flow linear closer to the plates. The results obtained give a significant measure to control the flow with the effects of various parameters involved.

Keywords:
Channel Flow, Lubrication Approximation, Magnetohydrodynamics, Similarity Transformation, Stokes Flow, Stratification Parameter, Viscous Oscillatory Flow