The transition to a wavy vortex state from the Taylor vortex state has been studied under a quasistatic ramping condition. Six different values of the radius ratio, ranging between 0.7204 to 0.7399, were used. For 0.7248, the flow always evolves into an m=2 state, while for 0.7260, the flow evolves into an m=3 state. (From an earlier study, it is known that the latter transition typei.e., to an m=3 stateextends to values of at least as great as 0.7767.) Therefore, the neutral stability curves for the m=2 and m=3 states must intersect somewhere within the narrow range 0.7248 <<0.7260. The flow states near the intersection should exhibit behavior characteristics of a multiple bifurcation of codimension 2. No unusual transition behavior has yet been observed. Our results compare favorably with recent stability calculations by C. A. Jones.
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics