On double-roll convection in a rotating magnetic system

Physics – Fluid Dynamics

Scientific paper

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Conducting Fluids, Convective Flow, Dynamo Theory, Geomagnetism, Rotating Fluids, Solar Magnetic Field, Earth Core, Electrical Resistivity, Equations Of Motion, Fluid Dynamics, Magnetic Effects, Magnetic Field Configurations, Magnetohydrodynamic Flow, Mathematical Models, Taylor Instability, Thermal Conductivity

Scientific paper

The investigation reported is the continuation of a study conducted by Roberts and Stewartson (1974) in order to understand better the dynamical means by which large bodies of conducting fluid, such as the earth's core or the solar convection zone, can create their own magnetism. The model employed consists of a plane horizontal layer of inviscid fluid which is finitely conducting and is permeated by a horizontal field that corotates with the layer about the vertical. It is found that a double-roll solution generally implies the existence of a geostrophic motion, parallel to the field and independent of the height. Questions concerning the marginal instability due to a pair of oblique rolls are considered along with the induced Taylor shear.

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