"Heat and mass transfer on Oscillatory MHD flow of Second grade fluid through Porous media"

Authors

B.V. Swarnalathamma
Department of Science and Humanities, JB institute of Engineering & Technology, Moinabad, Hyderabad, Telangana-500075, India.

D.M. Praveen Babu
Department of Humanities and Science, Sri Venkateswara College of Engineering, Kadapa, Andhra Pradesh – 516003, India.

Abstract

We have considered the unsteady MHD oscillatory flow of an incompressible electrically conducting second grade fluid through a saturated porous medium between two vertical plates under the influence of uniform transverse magnetic field normal to the plates with heat source and chemical reaction. One plate of the vertical channel is kept stationary and the other is oscillating with uniform velocity. The plates of the channel are subjected to a constant injection and suction velocities respectively. The flow through porous medium is governed by Brinkman’s model for the momentum equation. The closed form solutions of the governing equations are obtained for the velocity, temperature and concentration profiles making use of perturbation technique. The effects of various governing parameters on the velocity, temperature and concentration are computationally discussed with the help of graphs. The skin friction, Nusselt number and Sherwood number are also obtained analytically and its behaviour is computationally discussed.