Magnetic Field a Heat Generation Effects on Second Grade Fluid Flow past an Oscillating Vertical Plate in Porous Medium

Rahul Mehta¹ , H. R. Kataria²

1. Department of Mathematics, Sardar Vallabhbhai Patel Institute of Technology, Vasad, India.
2. Dept. of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, India..

Correspondence should be addressed to: rahul1078@gmail.com, Tel.: +91-98980-66500.

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.1-8, Apr-2020

Online published on Apr 30, 2020

Copyright © Rahul Mehta, H. R. Kataria . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The present paper is concerned with the study of heat generation/absorption effect on unsteady natural convective MHD Second grade fluid flow past an oscillating vertical plate in presence of thermal radiation and chemical reaction. It is assumed that the bounding plate has ramped temperature with ramped surface concentration and isothermal temperature with ramped surface concentration through porous medium. Governing non-dimensional equations are solved using Laplace transform technique and analytic expressions are obtained of velocity, temperature and concentration profiles. For both thermal plates, analytic expressions of Nusselt Number and Sherwood Number are derived and presented in tabular form. The effects of Magnetic parameter M, second grade fluid α, Heat generation/absorption parameter H, thermal radiation parameter Nr, chemical reaction parameter Kr in time variable t on velocity, temperature and concentration profiles are discussed through several graphs.

Key-Words / Index Term :
MHD; Second grade fluid; Porous medium; Nusselt Number; Sherwood Number

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