Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6783
Title: Motion of vortices outside a cylinder
Authors: Tülü, Serdar
Yılmaz, Oğuz
Keywords: Hamiltonian curves
Cylinder (Mathematics)
Uniform flow
Issue Date: Dec-2010
Publisher: American Institute of Physics
Source: Tülü, S., and Yılmaz, O. (2010). Motion of vortices outside a cylinder. Chaos, 20(4). doi:10.1063/1.3497915
Abstract: The problem of motion of the vortices around an oscillating cylinder in the presence of a uniform flow is considered. The Hamiltonian for vortex motion for the case with no uniform flow and stationary cylinder is constructed, reduced, and constant Hamiltonian (energy) curves are plotted when the system is shown to be integrable according to Liouville. By adding uniform flow to the system and by allowing the cylinder to vibrate, we model the natural vibration of the cylinder in the flow field, which has applications in ocean engineering involving tethers or pipelines in a flow field. We conclude that in the chaotic case forces on the cylinder may be considerably larger than those on the integrable case depending on the initial positions of vortices and that complex phenomena such as chaotic capture and escape occur when the initial positions lie in a certain region.
URI: http://doi.org/10.1063/1.3497915
http://hdl.handle.net/11147/6783
ISSN: 1054-1500
Appears in Collections:Mathematics / Matematik
PubMed İndeksli Yayınlar Koleksiyonu / PubMed Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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