Abstract
A two-dimensional, unsteady, inviscid, incompressible wing theory is developed for a wing at constant angle of incidence executing “small” heaving and “large” surging displacements. The relative order of magnitude of the displacements are referenced to a normalized semichord of unity. The heave-surge motion is assumed to give rise to a constant mean forward self-propulsion speed which is a free parameter in the analysis. The results develop the long-time periodic values and the time-averaged values of lift, moment, thrust, power-input necessary to sustain the motion, the useful rate of working and the rate of energy wastage in the fluid.
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References
James, E. C. 1973 A linearized theory for the unsteady motions of a wing in curved flight. Naval Ship Research and Development Center, Report 4098.
Lighthill, M. J. 1970 Acquatic animal propulsion of high hydro-mechanical efficiency. J. Fluid Mech. 14, 265–301.
Wu, T. Y. -T. 1972 Hydromechanics of swimming propulsion. Part 1. Swimming of a two-dimensional flexible plate at variable forward speeds in an inviscid fluid. J. Fluid Mech. 46, 337–355.
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© 1975 Springer Science+Business Media New York
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James, E.C. (1975). A Note on Flapping Flight with Surging. In: Wu, T.YT., Brokaw, C.J., Brennen, C. (eds) Swimming and Flying in Nature. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1326-8_29
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DOI: https://doi.org/10.1007/978-1-4757-1326-8_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1328-2
Online ISBN: 978-1-4757-1326-8
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