An Oscillatory MHD Convective Flow of Viscoelastic Fluid through Porous Medium Filled in a Rotating Vertical Porous Channel with Heat Radiation

An oscillatory MHD convective flow of an incompressible, viscoelastic and electrically conducting fluid in a vertical porous channel is analyzed. The two porous plates are subjected to a constant injection and suction velocity as shown in Fig.1. A magnetic field of uniform strength is applied perpendicular to the plates of the channel. The magnetic Reynolds number is assumed to be very small so that the induced magnetic field is negligible. The entire system rotates about an axis perpendicular to planes of the plates. The temperature difference between the plates is high enough to induce the heat due to radiation. A closed form solution of the purely oscillatory flow is obtained. The velocity, temperature and the skin-friction in terms of its amplitude and phase angle have been shown graphically to observe the effects of rotation parameter Ω, suction parameter λ, Grashoff number Gr, Hartmann number M, the pressure A, Prandtl number Pr, Radiation parameter N and the frequency of oscillation ω.