Unsteady free convection flow of rotating MHD second grade fluid in a porous medium over an oscillating plate

Abstract

In this paper, the analytical solutions for unsteady free convection flow of rotating second grade fluid over an isothermal oscillating vertical plate are obtained. The effect of magnetohydrodynamics (MHD) flow in a porous medium is also considered. The governing equation for momentum is modelled in a rotating system such that both fluid and plate rotate in unison with uniform angular velocity. This phenomenon is modelled in the form of partial differential equations together with initial and boundary conditions. Some suitable non-dimensional variables are introduced. The corresponding non-dimensional momentum and energy equations with conditions are solved using Laplace transform technique. Expression for velocity and temperature fields are obtained and displayed graphically for different values of second grade fluid (a), rotation (b), magnetic (M) and porosity (K) parameters. Results obtained satisfied all the initial and boundary conditions.