Document Detail


Motion of vortices outside a cylinder.
MedLine Citation:
PMID:  21198073     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
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.
Authors:
Serdar Tulu; Oguz Yilmaz
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Chaos (Woodbury, N.Y.)     Volume:  20     ISSN:  1089-7682     ISO Abbreviation:  Chaos     Publication Date:  2010 Dec 
Date Detail:
Created Date:  2011-01-04     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  100971574     Medline TA:  Chaos     Country:  United States    
Other Details:
Languages:  eng     Pagination:  043103     Citation Subset:  IM    
Affiliation:
Department of Mathematics, Izmir Institute of Technology, Urla, Izmir 35430, Turkey.
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