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Energetics of oscillating lifting surfaces by the use of integral conservation laws

Published online by Cambridge University Press:  26 April 2006

Ali R. Ahmadi  and
Sheila E. Windnall
Ali R. Ahmadi
Affiliation:
California State Polytechnic University, Pomona, CA 91768, USA
Sheila E. Windnall
Affiliation:
Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Abstract

The energetics of oscillating lifting surfaces in two and three dimensions is calculated by the use of integral conservation laws in inviscid incompressible flow for general and harmonic transverse oscillations. Wing deformations are prescribed as a function of time and total thrust is calculated from the momentum theorem, and energy loss rate due to vortex shedding in the wake is calculated from the principle of conservation of mechanical energy. Total power required to maintain the oscillations and hydro-dynamic efficiency are also determined. In two dimensions, the results are obtained in closed form. In three dimensions, the distribution of vorticity on the lifting surface is also required as input to the calculations. Therefore, unsteady lifting-surface theory must be used as well. The analysis is applicable to oscillating lifting surfaces of arbitrary planform, aspect ratio and reduced frequency and does not require calculation of the leading-edge thrust.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 266 , 10 May 1994 , pp. 347 - 370
Copyright
© 1994 Cambridge University Press

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