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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 1-2, Pages 21–32
DOI: https://doi.org/10.1134/S1560354713010024
(Mi rcd93)
 

This article is cited in 12 scientific papers (total in 12 papers)

Dynamics and Self-Propulsion of a Spherical Body Shedding Coaxial Vortex Rings in an Ideal Fluid

Phanindra Tallapragada, Scott David Kelly

Department of Mechanical Engineering and Engineering Science, University of North Carolina at Charlott
Citations (12)
References:
Abstract: We describe a model for the dynamic interaction of a sphere with uniform density and a system of coaxial circular vortex rings in an ideal fluid of equal density. At regular intervals in time, a constraint is imposed that requires the velocity of the fluid relative to the sphere to have no component transverse to a particular circular contour on the sphere. In order to enforce this constraint, new vortex rings are introduced in a manner that conserves the total momentum in the system. This models the shedding of rings from a sharp physical ridge on the sphere coincident with the circular contour. If the position of the contour is fixed on the sphere, vortex shedding is a source of drag. If the position of the contour varies periodically, propulsive rings may be shed in a manner that mimics the locomotion of certain jellyfish. We present simulations representing both cases.
Keywords: fluid-body interactions, vortex rings, aquatic locomotion.
Funding agency Grant number
National Science Foundation CMMI-1000652
The material presented herein is based on work supported by the National Science Foundation under grant CMMI-1000652.
Received: 20.11.2012
Accepted: 11.03.2013
Bibliographic databases:
Document Type: Article
MSC: 76Z10, 76B47, 37J99
Language: English
Citation: Phanindra Tallapragada, Scott David Kelly, “Dynamics and Self-Propulsion of a Spherical Body Shedding Coaxial Vortex Rings in an Ideal Fluid”, Regul. Chaotic Dyn., 18:1-2 (2013), 21–32
Citation in format AMSBIB
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\by Phanindra Tallapragada, Scott David Kelly
\paper Dynamics and Self-Propulsion of a Spherical Body Shedding Coaxial Vortex Rings in an Ideal Fluid
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 1-2
\pages 21--32
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  • https://www.mathnet.ru/eng/rcd/v18/i1/p21
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:218
    References:56
     
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