The Hydromagnetic Stability of a Two-Dimensional Compressible Jet

Physics

Scientific paper

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Scientific paper

The stability of a two-dimensional jet of a perfectly conducting, compressible and inviscid fluid in the presence of a magnetic field aligned to the direction of the fluid motion is studied for disturbances propagating along the magnetic field. Detailed analysis for long wavelength disturbances shows that the jet is stable against these disturbances when its velocity is sufficiently large, but otherwise it will be unstable under suitable conditions. A discussion of disturbances of small wave-lengths in several different cases shows that the jet is stable in these cases against these disturbances except when the jet velocity relative to the outside fluid is equal to the sound velocity and the magnetic field is sufficiently small.

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