Rotational circulation-preserving magnetogeostrophic flows

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Atmospheric Circulation, Flow Equations, Geostrophic Wind, Magnetohydrodynamic Flow, Rotating Fluids, Differential Equations, Inviscid Flow, Magnetic Field Configurations

Scientific paper

The technique of Marris and Passman (1969) is used to study rotation circulation-preserving magnetogeostrophic flows. It is shown that the only steady, inviscid magnetogeostrophic rotational circulation-preserving motion whose magnetic field line pattern is that of the irrotational motion is a complex-lamellar motion whose magnetic field magnitude bears a constant value on a magnetic field line. The present conditions are fulfilled by a motion whose vector lines are parallel straight lines, concentric circles, or circular helices mounted on concentric circular cylinders.

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