Effect of the Coriolis force and slowly varying flow on the Kelvin-Helmholtz instability

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coriolis Effect, Flow Stability, Flow Velocity, Kelvin-Helmholtz Instability, Rotating Fluids, Velocity Distribution, Air Water Interactions, Channel Flow, Density Distribution, Eigenvalues, Taylor Instability, Wentzel-Kramer-Brillouin Method

Scientific paper

An investigation is undertaken of the effect of the Coriolis force on the Kelvin-Helmholtz instability, which is defined as the instability of the interface plane separating two incompressible, inviscid fluids moving with relative horizontal velocities. Attention is given to the case of a slow variation of the velocity of the fluids along the lateral coordinate y. The approximation method employed by Jeffreys (1962) and Froman and Froman (1965) is used to obtain a solution for this case, and parabolic and other types of profiles for wide, long channel flow are considered.

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