Abstract
The flow in a completely filled cylinder driven by a rotating endwall has multiple time-dependent stable states when the endwell rotation exceeds a critical value. These states have been observed experimentally and computed numerically elsewhere. In this article, the linear stability of the basic state, which is a non-trivial axisymmetric flow, is analysed at parameter values where the unsteady solutions exist. We show that the basic state undergoes a succession of Hopf bifurcations and the corresponding eigenvalues and eigenvectors of these excited modes describe most of the characteristics of the observed time-dependent states.
Original language | English (US) |
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Pages (from-to) | 109-129 |
Number of pages | 21 |
Journal | journal of fluid mechanics |
Volume | 439 |
DOIs | |
State | Published - Jul 25 2001 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering