NDLI: An inviscid model for vortex shedding from a deforming body

Content Provider	Springer Nature Link
Author	Eldredge, Jeff. D. Shukla, Ratnesh K.
Copyright Year	2007
Abstract	An inviscid vortex sheet model is developed in order to study the unsteady separated flow past a two-dimensional deforming body which moves with a prescribed motion in an otherwise quiescent fluid. Following Jones (J Fluid Mech 496, 405–441, 2003) the flow is assumed to comprise of a bound vortex sheet attached to the body and two separate vortex sheets originating at the edges. The complex conjugate velocity potential is expressed explicitly in terms of the bound vortex sheet strength and the edge circulations through a boundary integral representation. It is shown that Kelvin’s circulation theorem, along with the conditions of continuity of the normal velocity across the body and the boundedness of the velocity field, yields a coupled system of equations for the unknown bound vortex sheet strength and the edge circulations. A general numerical treatment is developed for the singular principal value integrals arising in the solution procedure. The model is validated against the results of Jones (J Fluid Mech 496, 405–441, 2003) for computations involving a rigid flat plate and is subsequently applied to the flapping foil experiments of Heathcote et al. (AIAA J, 42, 2196–2204, 2004) in order to predict the thrust coefficient. The utility of the model in simulating aquatic locomotion is also demonstrated, with vortex shedding suppressed at the leading edge of the swimming body.
Ending Page	368
Page Count	26
Starting Page	343
File Format	PDF
ISSN	09354964
e-ISSN	14322250
Journal	Theoretical and Computational Fluid Dynamics
Issue Number	5
Volume Number	21
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-07-21
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Thermodynamics Fluids Mathematical and Computational Physics Boundary integral methods Engineering Fluid Dynamics Computational Science and Engineering Vortex sheet Inviscid
Content Type	Text
Resource Type	Article
Subject	Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics

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