Instability of a tangential discontinuity in an inhomogeneous medium

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Magnetohydrodynamic Stability, Shock Discontinuity, Vortices, Disturbing Functions, Gas Density, Gas Viscosity, Inhomogeneity, Shock Fronts, Stability, Supersonic Flow

Scientific paper

A tangential discontinuity in a homogeneous compressible or incompressible medium becomes unstable under the action of pressure and, therefore, the generated or amplified disturbances outgoing from the discontinuity surface are potential disturbances. For a compressible inhomogeneous medium, small hydrodynamic disturbances in the medium cannot be, generally speaking, purely potential. In the present paper, it is shown that in this case, instability leads to the generation (or amplification) of vortices, owing to the energy stored in the tangential discontinuity. The analysis is carried out for a gas layer (tangential discontinuity) compressed on either side by a shock wave. Such a situation (of interest to astrophysics) may arise as a result of the decay of a nonevolutionary discontinuity generated by the collision of supersonic gas masses.

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