Numerical study of 2D MHD convection around periodically placed cylinders

In this paper 2D stationary boundary value problem for the system of magnetohy-drodynamic (MHD) equations along with the heat transfer equation is considered. The viscous electrically conducting incompressible liquid-electrolyte is to move between infinite cylinders placed periodically. Similarly 2D MHD channel flow with periodically placed obstacles on the channel walls is examined. We analyze the 2D MHD convection around the cylinders and obstacles subject to homogeneous external magnetics field. The cylinders, obstacles and walls of channel with constant temperature are heated. The goal of such investigation is to obtain the distributions of stream function, temperature, velocity and the vortex formation in the cross-section plane of the cylinders and obstacles depending on the external magnetic field and on the direction of the gravitation. For the numerical treatment finite difference method is used.