Secondary Instability of Traveling Inclined Rolls in Taylor-Dean System
The Taylor-Dean system consists of two rotating coaxial horizontal cylinders with a partially filled gap. It has been shown recently [1,2] that flow in this system exhibits stationary or Hopf bifurcation from laminar state depending on the velocities ratio of the rotating cylinders. The stationary bifurcation gives rise to axisymmetric stationary Dean and Taylor rolls while the Hopf bifurcation gives rise to a pattern of traveling inclined rolls. We study the instability of those traveling rolls.
KeywordsHopf Bifurcation Velocity Ratio Outer Cylinder Horizontal Cylinder Secondary Instability
- 3.I. Mutabazi, J.J. Hegseth, C.D. Andereck and J.E. Wesfreid, preprint (1989).Google Scholar