Table of Contents
Journal of Fluids
Volume 2014, Article ID 642042, 8 pages
http://dx.doi.org/10.1155/2014/642042
Research Article

Linear Stability Analysis of Thermal Convection in an Infinitely Long Vertical Rectangular Enclosure in the Presence of a Uniform Horizontal Magnetic Field

Tokyo Metropolitan University, 6-6, Asahigaoka, Hino-shi 191-0065, Japan

Received 23 January 2014; Accepted 2 April 2014; Published 29 April 2014

Academic Editor: Robert Spall

Copyright © 2014 Takashi Kitaura and Toshio Tagawa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Stability of thermal convection in an infinitely long vertical channel in the presence of a uniform horizontal magnetic field applied in the direction parallel to the hot and cold walls was numerically studied. First, in order to confirm accuracy of the present numerical code, the one-dimensional computations without the effect of magnetic field were computed and they agreed with a previous study quantitatively for various values of the Prandtl number. Then, linear stability analysis for the thermal convection flow in a square horizontal cross section under the magnetic field was carried out for the case of Pr = 0.025. The thermal convection flow was once destabilized at certain low Hartmann numbers, and it was stabilized at high Hartmann numbers.