MHD Flow of a Third-Grade Fluid Induced by Non-Coaxial Rotations of a Porous Disk Executing Non-Torsional Oscillations and a Fluid at Infinity

The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible fluid due to non-coaxial rotations of a porous disk, executing oscillations in its own plane, and a fluid at infinity is considered in the presence of a uniform transverse magnetic field. The porous character of disk and the non-linearity of the fluid increase the order of the differential equation. The solutions for the cases, when the angular velocity is greater, smaller or equal to the frequency of oscillation are examined. The structure of the velocity distributions and the associated boundary layers are investigated including the case of blowing and resonant oscillations. It is found that unlike the hydrodynamic situation for the case of blowing and resonance, the hydromagnetic steady state solution satisfies the boundary condition at infinity. The inherent difficulty involved in the purely hydrodynamic problem associated with the case of blowing and the resonant frequency has been resolved in this paper by the addition of the magnetic field. Key-Words :Incompressible MHD flow, Non-coaxial rotation, Oscillation, Non-Newtonian fluid, Porous disk.