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Vortex pair and Chaplygin cusps

Vortex pair and Chaplygin cusps
Vortex pair and Chaplygin cusps
An example is given of a flow past two bodies with two trapped point vortices so that the pressure is constant over the entire body surface and the flow has no stagnation points. The flow is constructed from the flow past a pair of counter-rotating vortices by replacing the stagnation points with stagnation regions of constant pressure following the Chaplygin concept. The stagnation regions are then interpreted as bodies. The demonstration of the possibility of a flow without adverse pressure gradient on solid walls and without stagnation points adjacent to closed-streamline regions is important for the high-Reynolds-number asymptotic theory of flows with trapped vortices.
trapped vortex, separated flow, potential flow
0997-7546
328-337
Zannetti, Luca
c01e644a-1583-46b7-a307-cca4b5de2ae0
Chernyshenko, Sergei I.
a49ccead-e110-4ad7-aaa4-44052571d027
Zannetti, Luca
c01e644a-1583-46b7-a307-cca4b5de2ae0
Chernyshenko, Sergei I.
a49ccead-e110-4ad7-aaa4-44052571d027

Zannetti, Luca and Chernyshenko, Sergei I. (2005) Vortex pair and Chaplygin cusps. European Journal of Mechanics - B/Fluids, 24 (3), 328-337. (doi:10.1016/j.euromechflu.2004.09.005).

Record type: Article

Abstract

An example is given of a flow past two bodies with two trapped point vortices so that the pressure is constant over the entire body surface and the flow has no stagnation points. The flow is constructed from the flow past a pair of counter-rotating vortices by replacing the stagnation points with stagnation regions of constant pressure following the Chaplygin concept. The stagnation regions are then interpreted as bodies. The demonstration of the possibility of a flow without adverse pressure gradient on solid walls and without stagnation points adjacent to closed-streamline regions is important for the high-Reynolds-number asymptotic theory of flows with trapped vortices.

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More information

Published date: 2005
Keywords: trapped vortex, separated flow, potential flow

Identifiers

Local EPrints ID: 23216
URI: http://eprints.soton.ac.uk/id/eprint/23216
ISSN: 0997-7546
PURE UUID: 11c2aca6-d243-4965-a1f4-5cceeb3c0f8a

Catalogue record

Date deposited: 14 Mar 2006
Last modified: 15 Mar 2024 06:45

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Contributors

Author: Luca Zannetti
Author: Sergei I. Chernyshenko

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