On the Kelvin-Helmholtz instabilities of supersonic shear layers

Details On the Kelvin-Helmholtz instabilities of supersonic shear layers On the Kelvin-Helmholtz instabilities of supersonic shear layers

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...283..331c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 283, Aug. 1, 1984, p. 331-342.

Astronomy and Astrophysics

Astrophysics

33

Cosmic Plasma, Kelvin-Helmholtz Instability, Plasma Layers, Shear Layers, Supersonic Flow, Flow Equations, Flow Geometry, Velocity Distribution

Scientific paper

Analytical consideration is given to a Kelvin-Helmholtz instability in a finite width supersonic shear layer with linear and sinusoidal velocity profiles in the transition region. An analogy is explored between the pressure perturbation and the bound and scattering wave states of the one-dimensional Schroedinger equation. A numerical model is obtained for generating contour maps of the real and imaginary parts of the perturbation frequency in the (A,B)-plane. A comparison is made between the numerical results and analytical expressions derived for very small Mach numbers. Two unstable regimes are characterized in the (A,B)-plane. The method is concluded useful for both laboratory and astrophysics problems.

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