On the temperature distribution due to convection in the horizontal Bridgman crystal-growth configuration with vertical magnetic field

M. D. Cowley

Cambridge University Engineering Department, Trumpington Street, Cambridge CR2 1PZ, UK

Abstract
The analysis of this paper is applicable to the situation discussed by Davoust et al. (1994). The present work seeks to elucidate how weak convection, as measured by Ra/Ha^2 where Ra is the Rayleigh number, affects the velocity and temperature distribution in a horizontal Bridgman crystal-growth configuration when there is a strong vertical magnetic field. Ha -> oo. To zero order in Ra/Ha^2 the core flow is longitudinal with uniform shear and the temperature distribution that of pure longitudinal thermal conduction. At first order the isothermals are tilted and four axial vortices are formed, on which is superimposed an axially symmetric flow near an end wall. At second order the temperature distribution exhibits a "step" effect at an end wall and a tendency towards the formation of a double peak in the circumferential variation.