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 (
R
c
) at which convection sets in depends on
H
and Ω through the non-dimensional parameters
Q
=
μ
2
H
2
d
2
σ/ρv
and
T
= 4Ω
2
d
4
/
v
2
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
R
c
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.
Reference5 articles.
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2. Proc. Roy;Chandrasekhar S.;Soc. A,1953
3. 6 Proc. Roy;Chandrasekhar S.;Soc. A,1953
4. CXLIII. Thermal convection in a magnetic field
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