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Leapfrogging criteria for a line vortex pair external to a circular cylinder

Turner, M.R (2020) Leapfrogging criteria for a line vortex pair external to a circular cylinder Physics of Fluids, 274, 122381.

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Abstract

The interaction of two line vortices of differing strengths in the presence of a circular cylinder is considered. An explicit criteria is derived, a function of the vortex strengths (including strengths of opposite sign) and the cylinder radius, which separates different behaviours of the system. If the initial position of the vortices satisfy this criteria, they will undergo a periodic leapfrogging motion as they rotate around the cylinder, otherwise the vortices still interact weakly with one another except without leapfrogging. This is in contrast to the planar wall case where if no periodic leapfrogging occurs then the vortices move apart and do not interact with each other. Numerical results for initial vortex positions which do, and do not satisfy this criteria are presented to demonstrate the different motions available, as well as the robustness of the criteria.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Turner, M.RM.Turner@surrey.ac.uk
Date : 16 July 2020
Funders : Economic and Social Research Council (ESRC), Natural Environment Research Council Industrial Innovation Fellowship
DOI : 10.1016/j.jclepro.2020.122831
Grant Title : Economic and Social Research Council (ESRC)
Copyright Disclaimer : © 2020 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Projects : London Interdisciplinary Social Sciences Studentship
Uncontrolled Keywords : leapfrogging; vortex; overtake; circular cylinder
Additional Information : Embargo OK Metadata OK No Further Action
Depositing User : James Marshall
Date Deposited : 14 Aug 2020 13:21
Last Modified : 14 Aug 2020 14:11
URI: http://epubs.surrey.ac.uk/id/eprint/858412

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