Rotating MHD Convective Flow of Oldroyd- BFluid Through a Porous Medium in a Vertical Porous Channel with Thermal Radiation

An analysis of an oscillatory magnetohydrodynamic (MHD) convective flow of anOldroyd-B, incompressible and electrically conducting fluid through a porous medium bounded within two infinite vertical parallel porous plates is carried out. The fluid is injected with constant velocity through the stationary porous plate and simultaneously sucked with same constant velocity through the other oscillating plate. The temperature of the stationary plate is also oscillating. The temperature difference of the two plates is assumed high enough to induce heat transfer due to radiation. The entire system rotatesabout the axis normal to the planes of the plates with uniform angular velocity . A magnetic field of uniform strength is applied in the direction perpendicular to the plates. The induced magnetic field is neglected due to the assumption of small magnetic Reynolds number. Adopting complex variable notations, a closed form analytical solution of the problem is obtained. The analytical results are evaluated numerically and then presented graphically to discuss in detail.For small andlarge rotations the dependence of the steady and unsteady resultant velocities and their phasedifferences on various parameters are discussed with the help of figures and tables.