Investigation of magnetohydrodynamics flow and heat transfer in the presence of a confined square cylinder using SM82 equations

Abstract

In this paper, magnetohydrodynamics flow and heat transfer of a liquid metal (GaInSn) in the presence of a confined square obstacle is studied numerically, using a quasi-2-D model known as SM82. The results of the present investigation are compared with the results of the other experimental investigations and a good agreement with the average deviation of about 2.8% is achieved. The effects of Reynolds number, Hartmann number, and blockage ratio on the re-circulation length, Strouhal number, averaged Nusselt number, and isotherms are examined. The numerical results indicate that based on the Reynolds and Hartmann numbers in a fixed blockage ratio, due to the direct interactions of the secondary vortices and the Karman ones, the Strouhal number may increase or decrease. Some correlations are also provided to determine the re-circulation length in terms of the Reynolds and Hartmann numbers for various blockage ratios.