The problem of steady, laminar flow of an incompressible and electrically conducting fluid with mixed convection over a circular cylinder subject to uniform surface temperature is considered. The cylinder is placed to approaching flow stream for normal (cross flow) direction to the buoyant force and an external magnetic field is applied in the direction opposite to the fluid flow. The application of magnetic field leads to generation of induced magnetic field and in this study, this induced magnetic field is not neglected. Therefore the full MHD nonlinear Navier-Stokes equations together with Maxwells equations and energy equation is considered for solution. Numerical solutions with temperature fields were obtained for Reynolds number Re = 20 for different Pr, Ri and its effect on magnetic field in terms of interaction parameter N or a combination of Rm and ß. The results obtained are plotted in the form of contours of streamlines and isotherms. Heat transfer is studied by finding the surface and mean Nusselt numbers. The flow and temperature fields are presented and the results are discussed.
Keywords: Navier-Stokes equations; Mixed convection; MHD; & Finite difference.