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Published 2008 | Published
Book Section - Chapter Open

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

Created:
August 19, 2023
Modified:
October 20, 2023