Shear flow instabilities in rotating systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Flow Stability, Rotating Fluids, Shear Flow, Asymptotic Methods, Eigenvalues, Equations Of Motion, Inviscid Flow

Scientific paper

An asymptotic approach is developed for examining the linear stability
of a plane-parallel shear flow in a rotating system with respect to long
wave disturbances for a general velocity profile. Formulas for the
determination of the instability characteristics are obtained and solved
numerically in the case of hyperbolic tangent profile.

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