Kelvin-Helmholtz instability of superimposed magnetized, rotating fluids with neutral particles and resistivity

Astronomy and Astrophysics – Astrophysics

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Kelvin-Helmholtz Instability, Magnetohydrodynamics, Rotating Fluids, Two Fluid Models, Dispersion, Electrical Resistivity, Flow Stability, Perturbation Theory, Slip Flow, Solar Planetary Interactions

Scientific paper

The effects of neutral particles and finite resistivity (eta) on the growth of the Kelvin-Helmholtz instability are investigated theoretically for a system of two superimposed semiinfinite fluids, one conducting and one nonconducting, in rotation and slipping motion relative to each other in a uniform magnetic field. The derivation of the governing equations is given in detail, and it is found that otherwise stable modes become overstable and grow exponentially in the presence of finite eta, the growth rate varying as the cube root of eta. Both small rotation and neutral particles also have a destabilizing character, the latter acting to decrease the magnetic field, the angular velocity, and the gravitational field.

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