Second law analysis of slip velocity on oscillatory MHD flow of stretched surface with radiative heat transfer and variable suction

Abstract

This paper reports the analytical calculation of entropy generation due to unsteady heat and mass transfer flow of an incompressible, electrically conducting, and viscous fluid past an infinite vertical porous plate along with porous medium of time dependent permeability with radiative heat transfer and variable suction. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the z-axis normal to the plates. Solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other at rest, is developed by asymptotic expansion in order of epsilon for velocity, temperature and magnetic fields. The influences of the chemical reaction parameter, the thermal and mass Grashof numbers, heat generation/absorption and Hartmann number on total entropy generation were investigated, reported and discussed. A parametric study of all parameters involved was considered, and a representative set of results showing the effects are illustrated.

Journal of the Nigerian Association of Mathematical Physics, Volume 15 (November, 2009), pp 461 - 468