Paper ID: 3880

MHD Free Convective Flow along Vertical Oscillatory Plate with Radiative Heat Transfer in the Presence of Hall Current and Heat Source

Uday Singh Rajput & Mohammad Shareef

Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, India

E-mail: rajputshareeflu@gmail.com

Received March, 9th, 2017, 1st Revision February 20th, 2019, 2nd Revision April 7th, 2019, Accepted for publication May, 20th, 2019.

Abstract. MHD free convective flow with oscillations of an infinite non-conducting vertical flat surface through a porous medium with Hall current in a rotating system is studied here. The governing equations of the model are converted into dimensionless form. Analytical solution for velocity and temperature are obtained with the help of Laplace transform method. Graphs and tables are used to show the influence of various parameters on Temperature, Skin friction and velocity. It is observed that changes in plate oscillation, porous medium, radiation and Hall current cause significant effect on fluid motion. Further, the Skin friction near the surface is increased by radiation parameter. The results obtained have great implementations in the field engineering and science.

Keywords: free convection; Hall Current; Heat Transfer; MHD; Porous medium.

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