Magneto-shear flow past a cylinder of section bounded by two circular arcs

Abstract

The two-dimensional non-uniform shear flow of an infinitely conducting inversed, incompressible fluid past a cylinder having cross-section bounded by two circular arcs in presence of a magnetic field in the direction of the flow has been studied. Introducing the stram function and the magnetic field function, the governing equations have been solved in terms of dipolar coordinates. The nature of the velocity components and the magnetic fields components are shown graphically to discuss their behavior on the boundary of the cylinder. The results have also beencompared with that of a circular boundary in graphical form.