Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Conducting Fluids, Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Plasma Composition, Two Dimensional Flow, Viscous Fluids, Boundary Value Problems, Discontinuity, Flow Velocity, Gas Flow, Magnetic Fields, Perturbation Theory, Plasma Dynamics, Space Plasmas

Scientific paper

The Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids has been investigated in the presence of a two-dimensional horizontal uniform magnetic field. The streaming motion is also assumed to be two-dimensional. The stability analysis has been carried out for two highly viscous fluids of uniform densities. It is found that the streaming motion has dual influence on the unstable system, destabilizing for low values of streaming velocity and stabilizing for high values of streaming velocity. The effect of viscosity is, however, found to be stabilizing as the growth rate of the unstable configuration decreases on increasing the viscosity.

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