Soret Effect due to Natural Convection between Heated Vertical Plates with Heat Generation in a Horizontal Small Magnetic Field

Abstract

The effect of a small uniform applied horizontal magnetic field on separation of a binary mixture for the case of the fully developed natural convection of a fluid between two heated vertical walls in presence of heat generation has been studied analytically. Neglecting the induced electric field the equations governing the motion, temperature and concentration are solved by series expansion in terms of dimensionless parameter measuring buoyancy force. The solution obtained for concentration distribution is plotted against the width of the channel. It is found that the dimensionless number measuring the buoyancy force, the Hartmann number measuring the magnetic force, the thermal diffusion number and the heat generation parameter affects the species separation of rarer and lighter component significantly.