Free convection in a jet of conducting liquid near the wall

G. K. Ermolaeva - M. Z. Zhivov - Yu. A. Sokovishin

Abstract
This paper discusses the convective heat transfer of a jet of conducting liquid issuing from a slit source vertically from above along the surface of a plate. An external magnetic field is applied across the surface of the wall. As a result of the temperature difference between the gas of the jet and the surrounding medium, an Archimedes force arises which has a considerable effect on the forced jet flow. Using a similarity transform, the differential equations are integrated numerically by the method of finite differences. Analysis of the curves permits the elucidation of the effect of mixed flow conditions on the distribution of the velocities, temperatures, friction stresses, and heat-transfer coefficients. The article demonstrates the effect on the flow of the Prandtl number Pr and of k characterizing the ratio between the force of free convection and the electrodynamic force.