Wavy Vortices in Rotating Channel Flow
A numerical study of the transition from steady to oscillatory streamwise-oriented vortices in fully developed rotating channel flow is presented. The principal results are obtained from three-dimensional, spectral simulations of the incompressible time-dependent Navier-Stokes equations. With increasing Reynolds number, the steady, periodic array of two-dimensional vortices (roll cells) develop waves travelling in the streamwise direction. The linear stability of two-dimensional vortices to wavy perturbations is examined. Two types of wavy vortices are possible. Nonlinear wavy vortices are examined for a wide range of parameters and several key qualitative features are discussed.
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