MAGNETIC PRESSURE DROP AND HEAT TRANSFER OF LIQUID METAL FLOW IN ANNULAR CHANNEL UNDER TRANSVERSE MAGNETIC FIELD.

Abstract

Analytical solutions of the magnetic pressure drop and the heat transfer coefficient were obtained for liquid metal flow in an annular channel with perfectly conducting walls under transverse magnetic field. Numerical calculations of the magnetic pressure drop and the heat transfer coefficient were also conducted for liquid metal flow in an annular channel with finite wall conductivity under transverse magnetic field. It was assumed in the analysis and the numerical calculations that the flow was fully laminarized due to the effect of strong magnetic field and the velocity and temperature fields were fully developed. It became clear from the results of numerical calculations that the Poiseuille number increased with the Hartmann number and the wall conductivity numbers, and that the Nusselt numbers at 0 and pi from the direction of magnetic field were lower than the average Nusselt number, but higher at pi /2. The Poiseuille number and the Nusselt number obtained by the numerical calculations for large values of the wall conductivity numbers almost agreed with the analytical solutions for the case of walls with infinite conductivity.