Effects of Anisotropic Roughness on MHD Flow Near a Rotating Disk

Abstract

In this paper, we prove the existence of solution of the self-similar equations representing the swirling flow of an electrically conducting viscous fluid near an infinite rough rotating disk. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. Numerical solutions of the resulting system of nonlinear equations are also obtained over the entire range of the physical parameters. The effects of slip and the magnetic interaction parameter on the momentum boundary layer are discussed in detail and are shown graphically.