Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity

An exact solution of the unsteady three-dimensional Navier-Stokes equations is derived for the case of flow due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field. An analytical solution of the problem is established by the method of Laplace transform, and the velocity field is presented in terms of the tabulated functions. It is found that the boundary layer thickness in the cases of succion/blowing decreases with the increase in the magnetic parameter.