Hydro magnetic Mixed Convection Flow through Porous Medium in a Hot Vertical Channel with Span wise Co sinusoidal Temperature and Heat Radiation

An analysis of an unsteady mixed convection flow of a viscous incompressible and electrically conducting fluid in a hot vertical channel is presented. The vertical channel is filled with porous medium. The temperature of one of the channel plates is considered to be fluctuating spanwisecosinusoidally, i.e. .A magnetic field of uniform strength is applied perpendicular to the planes of the plates. The magnetic Reynolds number is assumed very small so that the induced magnetic field is neglected. It is also assumed that the conducting fluid is gray, absorbing/ emitting radiation and non-scattering. Governing equations are solved exactly for the velocity and the temperature fields. The effects of Reynolds number, Hartmann number, permeability of the porous medium, Prandtl number and frequency of oscillations are discussed with the help of figures.