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Effect of hydrodynamic interaction on the motion of a rotating body

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Summary:The hydrodynamic interaction between two bodies with rotational motion through an inviscid and incompressible fluid is investigated theoretically. The dynamical behavior of an elliptic cylinder moving around a fixed circular cylinder is described first based on the dynamical equations of motion in the plane of motion. In a relative coordinate system moving with the stream, the kinetic energy of the fluid is expressed as a function of fifteen generalized added masses due to the planar motion of the two cylinders. By means of the generalized added masses, the planar motion of an elliptic cylinder around a fixed circular cylinder can be computed without considering the flow field. The trajectories of an elliptic cylinder around a fixed circular cylinder in planar motion are obtained and the effects of non-circularity, initial position and initial velocity on the interaction between two cylinders are discussed. Similarly, the planar motion of a prolate spheroid around a sphere is investigated. The numerical results show explicitly that the dynamical behaviors of the moving bodies with rotational motion appear nonlinear. Their moving properties exhibit significant difference from those in the particle dynamics.
Main Authors:Chwang,A. T.
Subject:Interaction hydrodynamics two-body system rotating body potential flow Lagrange equations of motion added masses
Year:2004
Country:Brazil
Document type:article
Access type:open access
Associated institution:IBICT
Language:English
Origin:Oasisbr
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author Chwang,A. T.
author_facet Chwang,A. T.
author_role author
country_str BR
creators_json_txt [{\"Person.name\":\"Chwang,A. T.\"}]
datacite.creators.creator.creatorName.fl_str_mv Chwang,A. T.
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Interaction hydrodynamics
two-body system
rotating body
potential flow
Lagrange equations of motion
added masses
datacite.titles.title.fl_str_mv Effect of hydrodynamic interaction on the motion of a rotating body
dc.creator.none.fl_str_mv Chwang,A. T.
dc.format.none.fl_str_mv text/html
dc.identifier.none.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782004000400001
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.source.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering v.26 n.4 2004
reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
dc.subject.none.fl_str_mv Interaction hydrodynamics
two-body system
rotating body
potential flow
Lagrange equations of motion
added masses
dc.title.fl_str_mv Effect of hydrodynamic interaction on the motion of a rotating body
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description The hydrodynamic interaction between two bodies with rotational motion through an inviscid and incompressible fluid is investigated theoretically. The dynamical behavior of an elliptic cylinder moving around a fixed circular cylinder is described first based on the dynamical equations of motion in the plane of motion. In a relative coordinate system moving with the stream, the kinetic energy of the fluid is expressed as a function of fifteen generalized added masses due to the planar motion of the two cylinders. By means of the generalized added masses, the planar motion of an elliptic cylinder around a fixed circular cylinder can be computed without considering the flow field. The trajectories of an elliptic cylinder around a fixed circular cylinder in planar motion are obtained and the effects of non-circularity, initial position and initial velocity on the interaction between two cylinders are discussed. Similarly, the planar motion of a prolate spheroid around a sphere is investigated. The numerical results show explicitly that the dynamical behaviors of the moving bodies with rotational motion appear nonlinear. Their moving properties exhibit significant difference from those in the particle dynamics.
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publishDate 2004
publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
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spelling Effect of hydrodynamic interaction on the motion of a rotating bodyChwang,A. T.Interaction hydrodynamicstwo-body systemrotating bodypotential flowLagrange equations of motionadded massesopen accesshttp://purl.org/coar/access_right/c_abf2http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782004000400001URLhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782004000400001URLHasVersion2004-12-01The hydrodynamic interaction between two bodies with rotational motion through an inviscid and incompressible fluid is investigated theoretically. The dynamical behavior of an elliptic cylinder moving around a fixed circular cylinder is described first based on the dynamical equations of motion in the plane of motion. In a relative coordinate system moving with the stream, the kinetic energy of the fluid is expressed as a function of fifteen generalized added masses due to the planar motion of the two cylinders. By means of the generalized added masses, the planar motion of an elliptic cylinder around a fixed circular cylinder can be computed without considering the flow field. The trajectories of an elliptic cylinder around a fixed circular cylinder in planar motion are obtained and the effects of non-circularity, initial position and initial velocity on the interaction between two cylinders are discussed. Similarly, the planar motion of a prolate spheroid around a sphere is investigated. The numerical results show explicitly that the dynamical behaviors of the moving bodies with rotational motion appear nonlinear. Their moving properties exhibit significant difference from those in the particle dynamics.engtext/htmlAssociação Brasileira de Engenharia e Ciências Mecânicas - ABCMJournal of the Brazilian Society of Mechanical Sciences and Engineering v.26 n.4 2004reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCMjournal articlehttp://purl.org/coar/resource_type/c_6501literatureVoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85
spellingShingle Effect of hydrodynamic interaction on the motion of a rotating body
Chwang,A. T.
Interaction hydrodynamics
two-body system
rotating body
potential flow
Lagrange equations of motion
added masses
status SINGLETON
status_str VoR
subject.fl_str_mv Interaction hydrodynamics
two-body system
rotating body
potential flow
Lagrange equations of motion
added masses
title Effect of hydrodynamic interaction on the motion of a rotating body
title_full Effect of hydrodynamic interaction on the motion of a rotating body
title_fullStr Effect of hydrodynamic interaction on the motion of a rotating body
title_full_unstemmed Effect of hydrodynamic interaction on the motion of a rotating body
title_short Effect of hydrodynamic interaction on the motion of a rotating body
title_sort Effect of hydrodynamic interaction on the motion of a rotating body
topic Interaction hydrodynamics
two-body system
rotating body
potential flow
Lagrange equations of motion
added masses
topic_facet Interaction hydrodynamics
two-body system
rotating body
potential flow
Lagrange equations of motion
added masses
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782004000400001
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