Subcritical axisymmetric solutions in rotor-stator flow
In the present study the axisymmetric flow in an aspect ratio R/H=10 cavity is revisited. The base state is shown to lose stability in a supercritical Hopf bifurcation. Branches of periodic and chaotic self-sustained solutions are computed using harmonic balance method and time integration. In addition, edge states separating the steady laminar and chaotic regimes are identified using a bisection algorithm. All the self-sustained solutions found are shown to exist only for a high enough Reynolds number and are therefore disconnected from the experimentally observed circular rolls.
Authors
- Laurent Martin Witkowski (ORCID: https://orcid.org/0000-0003-0491-2384)
- Yohann Duguet (ORCID: https://orcid.org/0000-0001-6258-0475)
- Artur Gesla (ORCID: https://orcid.org/0009-0000-9520-8450)
- Patrick Le Quéré (ORCID: https://orcid.org/0000-0001-9151-1049)
Institutions
- Université Claude Bernard Lyon 1 (FR)
- École Centrale de Lyon (FR)
- Université Paris-Saclay (FR)
- Sorbonne Université (FR)
- Laboratoire de Mécanique des Fluides et d'Acoustique (FR)
- Laboratoire Médiations (FR)
- Institut National des Sciences Appliquées de Lyon (FR)
Publication Details
- Journal
- Physical Review Fluids
- Published
- 2024-08-13
- DOI
- https://doi.org/10.1103/physrevfluids.9.083903
- Citations
- 4
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 1.50