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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
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.
Received: 20.11.2012 Accepted: 11.03.2013
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
Linking options:
https://www.mathnet.ru/eng/rcd93 https://www.mathnet.ru/eng/rcd/v18/i1/p21
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Abstract page: | 215 | References: | 55 |
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