Published 2008
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The motion of solid bodies in potential flow with circulation: a geometric outlook
Abstract
The motion of a circular body in 2D potential flow is studied using symplectic reduction. The equations of motion are obtained starting front a kinetic-energy type system on a space of embeddings and reducing by the particle relabelling symmetry group and the special Euclidian group. In the process, we give a geometric interpretation for the Kutta-Joukowski lift force in terms of the curvature of a connection on the original phase space.
Additional Information
© 2008 ASME. J. Vankerschaver is a Postdoctoral Fellow from the Research Foundation – Flanders (FWO-Vlaanderen), and a Fulbright Research Scholar at the California Institute of Technology. Additional financial support from the Fonds Professor Wuytack is gratefully acknowledged. E. Kanso's work is partially supported by NSF through the award CMMI 06-44925. J. E. Marsden is partially supported by NSF Grant DMS-0505711.Attached Files
Published - Vankerschaver2009p8394Proceedings_Of_The_Asme_Dynamic_Systems_And_Control_Conference_2008_Pts_A_And_B.pdf
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Vankerschaver2009p8394Proceedings_Of_The_Asme_Dynamic_Systems_And_Control_Conference_2008_Pts_A_And_B.pdf
Additional details
Identifiers
- Eprint ID
- 18667
- Resolver ID
- CaltechAUTHORS:20100614-100926632
Funding
- NSF
- CMMI 06-44925
- NSF
- DMS-0505711
- Research Foundation – Flanders (FWO-Vlaanderen)
- Fulbright Foundation
- Fonds Professor Wuytack
Dates
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2010-07-09Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field