All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Physics of Fluids

Volume

9

Issue

6

Publisher

American Institute of Physics

Publication Date

2-1997

First Page

1819

Last Page

1825

DOI

10.1063/1.869297

Abstract

The effect of a uniform oblique magnetic field on a laterally unbounded insulating paramagnetic fluid layer heated from below is studied using a linear stability analysis of the Navier–Stokes equations supplemented by Maxwell’s equations and the appropriate magnetic body force. Two-dimensional rolls in an arbitrary vertical plane are considered. Longitudinal rolls with axes parallel to the horizontal component of the field are the rolls most unstable to convection. The corresponding critical Rayleigh number and critical wavelength for the onset of such rolls are less than the well-known Rayleigh–Bénard values in the absence of magnetic fields. Vertical fields maximize these deviations, which vanish for horizontal fields. Horizontal fields increase the critical Rayleigh number and the critical wavelength for all rolls except longitudinal rolls. These effects should be observable in careful experiments at high fields.

Comments

http://link.aip.org/link/doi/10.1063/1.869297

Published by the American Institute of Physics in Physics of Fluids. Publisher PDF is available for download through the link above.