Natural convection in rectangular enclosures of arbitrary orientation with magnetic field vertical

M. D. Cowley

Cambridge University Engineering Department, Trumpington Street, Cambridge CB2 1PZ, UK

Abstract
Plane two-dimensional flow driven by buoyancy forces in tilted rectangular enclosures is investigated for the case of high Hartmann number Ha and high interaction parameter. Two of the bounding walls are taken to be thermally insulating and the other two to have constant heat flux, the hotter wall being uppermost. The parameter Ra/Ha2, where Ra is the Rayleigh number, is a measure of the importance of ad-vection of temperature, and behaviour in enclosures is elucidated for the asymptotic extremes of Ra/Ha2 -> 0 and Ra/Ha2 -> infinity. The paper concludes with discussions on three-dimensional effects caused by bounding walls parallel to the flow plane being a finite distance apart and on behaviour as the angle of tilt tends to zero. Figs. 7, refs. 7.