Hydromagnetic stability of rotating gas

Physics – Plasma Physics

Scientific paper

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Compressibility Effects, Magnetohydrodynamic Stability, Plasma Physics, Rotating Plasmas, Gas Dynamics, Planetary Atmospheres, Stellar Atmospheres

Scientific paper

Rayleigh (1916) has studied the equilibrium characteristics of an incompressible, inviscid rotating fluid. He could show that such a fluid was unstable if the circulation decreased with the distance from the axis of rotation. The hydromagnetic stability of a rotating plasma is of relevance in problems concerning planetary and stellar atmospheres. The hydromagnetic counterpart of Rayleigh's model was, therefore, studied by Michael (1954). The calculations of Michael were extended by Acheson (1973) who included the effects due to density stratification in the plasma. The present investigation has the objective to incorporate the effects of compressibility of the plasma in Michael's model. It is found that the compressibility effects do not promote stability of the perturbed flow.

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