A set of highly accurate computer analysis codes for steady multidimensional laminar MHD flows of incompressible fluids with temperature-dependent physical properties has been used to analyze simple MHD flows. In cases of two dimensional flows between parallel plates with a magnetic field of alternating polarity applied orthogonally to the flow direction the result was formation of recirculating regions adjacent to the magnets. In the case of a three-dimensional duct flow with magnetic strips of uniform strength and altering polarity forming the bottom wall a complex pattern of secondary flow was observed. The general trend of the flow is to become tilted towards the magnetic strips and development of narrow regions of high pressure immediately adjacent to the magnets with a wider region of unexpectedly lower pressure immediately above these regions. Predicted distribution of the magnetic field intensities demonstrate that a number of magnetic field lines escape through the inlet and exit boundaries. Implications of such flow patterns, pressure fields and magnetic fields on flow separation control, bubble cloud formation and magnetic signature increase, have been discussed.
