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.
KeywordsVortex Flow Linear Growth Rate Dean Vortex Taylor Vortex Flow Vortex Spacing
Unable to display preview. Download preview PDF.
- 3.Tritton, D.J.; Davies, P.A.: Instabilities in geophysical fluid dynamics. In Hydrodynamic Instabilities and the Transition to Turbulence, 2nd edn (ed. H.L. Swinney & J.P. Gollub). Springer-Verlag 1985.Google Scholar
- 4.Finlay, W. H.: Transition to oscillatory motion in rotating channel flow. Submitted to J. Fluid Mech. (1989).Google Scholar