Mode competition in cylindrical flows driven by sidewall oscillations
The transition from a two-dimensional to three-dimensional flow in systems with spatial O(2) symmetry and spatiotemporal Z2 symmetry happens in many fluid systems, like wakes or periodically forced flows. In most of these systems, the dynamics after the first bifurcation is very complex and involves...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/19559 |
| Acceso en línea: | https://hdl.handle.net/2117/19559 https://dx.doi.org/10.1103/PhysRevE.87.043001 |
| Access Level: | acceso abierto |
| Palabra clave: | Bifurcation theory Boundary layer Numerical analysis bifurcation boundary layers confined flow flow instability flow simulation numerical analysis spatiotemporal phenomena Bifurcació, Teoria de la Boundary -- Layer, Teoria de Anàlisi numèrica Àrees temàtiques de la UPC::Física |
| Sumario: | The transition from a two-dimensional to three-dimensional flow in systems with spatial O(2) symmetry and spatiotemporal Z2 symmetry happens in many fluid systems, like wakes or periodically forced flows. In most of these systems, the dynamics after the first bifurcation is very complex and involves cascades of bifurcations in a very narrow parameter range. A numerical study of a flow in an enclosed cylindrical cavity driven by axial oscillations of the sidewall, which allows a detailed study of the secondary bifurcations and the corresponding mode interactions, is presented. The study focuses on a codimension-2 point that acts as the organizing center of the dynamics for moderate values of the forcing frequency. The unraveled dynamics is very rich, including slow-fast dynamics and hysteresis, and may help understand the bifurcation cascades in more complex systems. |
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