Instability of Hydromagnetic Perpendicular Shocks in Inhomogeneous Fluids

Details Instability of Hydromagnetic Perpendicular Shocks in Inhomogeneous Fluids Instability of Hydromagnetic Perpendicular Shocks in Inhomogeneous Fluids

Feb 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973pthph..49..479y&link_type=abstract

Progress of Theoretical Physics, Vol. 49, No. 2, pp. 479-490

Physics

Scientific paper

The instability of a plane hydromagnetic fast shock with respect to deformations of the shape of the shock front is studied by linearizing in disturbances, in a special case that the shock is propagating along the direction of density decrease in a medium which is composed of stratified plane layers of a perfectly conducting, inviscid fluid, permeated by a uniform magnetic field which is perpendicular to the direction of density decrease. An approximation assuming quasi-stationary fluid velocity behind the shock makes it possible to obtain an ordinary differential equation which governs the disturbance on the shock front at a crest or at a trough of the deformation. Numerical solutions of the equation show that the growth rate is such that the deformation grows into e times the initial value after a travel of about eight scale-heights in an isothermal atmosphere.

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