MHD mixed convective heat transfer over an isothermal circular cylinder using low Rm approximation

Abstract

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 governing Navier-Stokes equations with energy equation are solved by using higher compact finite difference scheme in 2D cylindrical polar coordinates. Numerical solutions with temperature fields were obtained for Reynolds number Re = 20, Prandtl number (0.065 ≤ Pr ≤ 7), Richardson number (0 ≤ Ri ≤ 2) and magnetic field (0 ≤ N ≤ 4). The results obtained are plotted in the form of contours of streamlines and isotherms. The flow and temperature fields are presented and the results are discussed.