So we conclude that for compressible, azimuthal modes there are two types of instabilities.
The eigenvalues and eigenvector s are those of one dimensional compressible fluid dynamics, namely the forward and backward sound waves and contact discontinuity solutions.
We have begun a systematic study of the stability of compressible mixing layers in which a diffusion flame is embedded.
The impact of the flow and the aspect ratio on the aforementioned quantities is evaluated for both 'compressible' and incompressible flows.
We note first the results for a perfectly conducting, compressible fluid in a uniform magnetic field.
The final section of the paper describes the modifications required if the fluid is compressible.
Blumen (1970) extended the linear study to the hydrodynamic compressible case and found instability when the sound speed exceeds half the velocity jump.
A flux rope is a compressible magnetic structure whose structure can be influenced by its interaction with a plasma flow.