Vankerschaver, Joris and Kanso, Eva and Marsden, Jerrold E. (2008) The motion of solid bodies in potential flow with circulation: a geometric outlook. In: Proceedings of the ASME Dynamic Systems and Control Conference 2008, Parts A and B. ASME , pp. 1067-1074. ISBN 978-0-7918-4335-2 http://resolver.caltech.edu/CaltechAUTHORS:20100614-100926632
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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.
|Item Type:||Book Section|
|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.|
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|Deposited By:||Tony Diaz|
|Deposited On:||09 Jul 2010 22:13|
|Last Modified:||26 Dec 2012 12:08|
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