Numerical Study of Forced MHD Convection Flow and Temperature Around Periodically Placed Cylinders

Abstract

In this paper we consider 2D stationary boundary value problems for the system of magnetohydrodynamic (MHD) equations and the heat transfer equation. The viscous electrically conducting incompressible liquid moves between infinite cylinders with square or round sections placed periodically. We also consider similar 2D MHD channel flow with periodically placed obstacles on the channel walls. We analyse the 2D forced and free MHD convection flow and temperature around cylinders and obstacles in homogeneous external magnetic field. The cylinders, obstacles and walls of the channel with constant temperature are heated. The distributions of electromagnetic fields, forces, velocity and temperature fields have been calculated using the method of finite differences.

The goal of such investigation is to obtain the distributions of stream function, temperature, velocity and the vortex formation in the plane of the cross-section between the cylinders and obstacles as function of the external magnetic field and of the direction of the gravitation.