Kelvin-Helmholtz instability of superposed hydromagnetic fluids of different densities with finite-resistivity

Details Kelvin-Helmholtz instability of superposed hydromagnetic fluids of different densities with finite-resistivity Kelvin-Helmholtz instability of superposed hydromagnetic fluids of different densities with finite-resistivity

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.114..311c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 114, no. 2, Sept. 1985, p. 311-318.

Astronomy and Astrophysics

Astrophysics

2

Conducting Fluids, Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Plasma Density, Boundary Conditions, Boundary Value Problems, Dispersing, Electrical Resistivity, Fluid Boundaries, Linear Equations, Streams

Scientific paper

The hydromagnetic Kelvin-Helmholtz instability of two superposed fluids of different densities is studied. One of the fluids is assumed to be static with finite-resistivity and another fluid is streaming and nonconducting. The equations of the problem are linearized and the dispersion relation using relevant boundary conditions has been derived. It is found that the ratio of densities of the fluids (beta) modifies the condition of ideal-plasma modes. The influence of beta on stable and unstable regions as compared to the case when beta is unity has been investigated and illustrated. Further, the combined effect of small finite-resistivity and different densities of the fluids is analyzed. It has been found that beta merely changes the constant of proportionality of the growth rate, which is obtained for the fluids of the same densities.

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