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Article: Hydrodynamic interactions among multiple circular cylinders in an inviscid flow

TitleHydrodynamic interactions among multiple circular cylinders in an inviscid flow
Authors
Issue Date2012
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
Citation
Journal of Fluid Mechanics, 2012, v. 712, p. 505-530 How to Cite?
AbstractHydrodynamic interactions among multiple circular cylinders translating in an otherwise undisturbed inviscid fluid are theoretically investigated. A constructive method for solving a Neumann boundary-value problem in a domain outside N circles (one kind of Hilbert boundary-value problem in the complex plane) is presented in the study to derive the velocity potential of the liquid. The method employs successive offset functions combined with a ‘generalized cyclic permutation’ in turn to satisfy the impenetrable boundary condition on each circle. The complex potential is therefore expressed as N isolated singularities in power series form and used to get instantaneous added masses of N submerged circular cylinders. Then, based on the Hamilton variational principle, a dynamical equation of motion in vector form is derived to predict nonlinear translations of the submerged bodies under fully hydrodynamic interactions. Also, the equivalence of the energy-based Lagrangian framework and a momentum-type one in the two-dimensional body–liquid system is proved. It implies that the pressure integration around a submerged body is holographic, which provides information about velocities and accelerations of all bodies. The numerical solutions indicate some typical dynamical behaviours of more than two circular cylinders which reveal that interesting nonlinear phenomena would appear in such a system with simple physical assumptions.
Persistent Identifierhttp://hdl.handle.net/10722/180145
ISSN
2019 Impact Factor: 3.354
2015 SCImago Journal Rankings: 1.450
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorSun, Ren_US
dc.contributor.authorNg, COen_US
dc.date.accessioned2013-01-21T01:30:19Z-
dc.date.available2013-01-21T01:30:19Z-
dc.date.issued2012en_US
dc.identifier.citationJournal of Fluid Mechanics, 2012, v. 712, p. 505-530en_US
dc.identifier.issn0022-1120en_US
dc.identifier.urihttp://hdl.handle.net/10722/180145-
dc.description.abstractHydrodynamic interactions among multiple circular cylinders translating in an otherwise undisturbed inviscid fluid are theoretically investigated. A constructive method for solving a Neumann boundary-value problem in a domain outside N circles (one kind of Hilbert boundary-value problem in the complex plane) is presented in the study to derive the velocity potential of the liquid. The method employs successive offset functions combined with a ‘generalized cyclic permutation’ in turn to satisfy the impenetrable boundary condition on each circle. The complex potential is therefore expressed as N isolated singularities in power series form and used to get instantaneous added masses of N submerged circular cylinders. Then, based on the Hamilton variational principle, a dynamical equation of motion in vector form is derived to predict nonlinear translations of the submerged bodies under fully hydrodynamic interactions. Also, the equivalence of the energy-based Lagrangian framework and a momentum-type one in the two-dimensional body–liquid system is proved. It implies that the pressure integration around a submerged body is holographic, which provides information about velocities and accelerations of all bodies. The numerical solutions indicate some typical dynamical behaviours of more than two circular cylinders which reveal that interesting nonlinear phenomena would appear in such a system with simple physical assumptions.-
dc.languageengen_US
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLMen_US
dc.relation.ispartofJournal of Fluid Mechanicsen_US
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_US
dc.titleHydrodynamic interactions among multiple circular cylinders in an inviscid flowen_US
dc.typeArticleen_US
dc.identifier.emailNg, CO: cong@hku.hken_US
dc.identifier.authorityNg, CO=rp00224en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1017/jfm.2012.434-
dc.identifier.scopuseid_2-s2.0-84871218298-
dc.identifier.hkuros213019en_US
dc.identifier.volume712en_US
dc.identifier.spage505en_US
dc.identifier.epage530en_US
dc.identifier.isiWOS:000311888700020-

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