The instability of a layer of fluid heated below and subject to the simultaneous action of a magnetic field and rotation
- 31 August 1954
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 225 (1161), 173-184
- https://doi.org/10.1098/rspa.1954.0195
Abstract
This paper is devoted to an examination of the stability of a horizontal layer of fluid heated below, subject to an effective gravity g acting (approximately) in the direction of the vertical, a magnetic field H and the Coriolis acceleration resulting from a rotation Ω. When g, H and Ω are parallel, the critical Rayleigh number (Rc) at which convection sets in depends on H and Ω through the non-dimensional parameters Q = μ2H2d2σ/ρv and T = 4Ω2d4/v2 where μ, σ and v are the coefficients of magnetic permeability, electrical conductivity and kinematic viscosity, respectively, and d is the depth of the layer considered. In the case when the liquid is confined between two free boundaries the dependence of Rc on Q and T is explicitly established. The results reveal some very unexpected features and illustrate the complex behaviour of a fluid under the simultaneous action of a magnetic field and rotation.Keywords
This publication has 2 references indexed in Scilit:
- XLVI. On the inhibition of convection by a magnetic fieldJournal of Computers in Education, 1952
- CXLIII. Thermal convection in a magnetic fieldJournal of Computers in Education, 1951