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

M. D. Cowley - D. J. MacLean - T. Alboussiere

Cambridge University Engineering Department UK

Abstract
This paper carries the investigation of natural convection in tilted containers a stage beyond the asymptotic analysis of [1], with the full equations being solved numerically by the commercial code CFX. Comparisons are made with the asymptotic solutions and good agreement is found at low values of Ra/Ha². On the other hand, the prediction for high values, that there is a core of stationary fluid in a uniform vertical temperature gradient, is approached only slowly as Ra/Ha² is increased. The behaviour can be explained by extending the asymptotic analysis to the next order of approximation. Figs 5, Refs 1.