MHD orthogonal stagnation-point flow of a micropolar fluid with the magnetic field parallel to the velocity at infinity

An exact solution is obtained for the steady MHD plane orthogonal stagnation-point flow of a\r\nhomogeneous, incompressible, electrically conducting micropolar fluid over a rigid uncharged\r\ndielectric at rest. The space is permeated by a not uniform external magnetic field He and the\r\ntotal magnetic field H in the fluid is parallel to the velocity at infinity. The results obtained\r\nreveal many interesting behaviours of the flow and of the total magnetic field in the fluid and\r\nin the dielectric. In particular, the thickness of the layer where the viscosity appears depends\r\non the strength of the magnetic field. The effects of the magnetic field on the velocity and on\r\nthe microrotation profiles are presented graphically and discussed.