The aerodynamics of a slender body moving very close to a water wave surface

Author: Wang Q. X.  

Publisher: Oxford University Press

ISSN: 1464-3634

Source: IMA Journal of Applied Mathematics, Vol.78, Iss.2, 2013-04, pp. : 307-337

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Abstract

A slender body is assumed to translate horizontally above and in very close proximity to a water surface on which there is a progressive harmonic wave. The air flow induced by the water wave surface and the body is studied by developing classical slender body theory. The outer flow far away from the body is solved analytically, while the inner flow near the body reduces to a two-dimensional flow problem in the transverse cross-flow plane. An analytical inner solution is obtained for an arbitrary slender body of revolution for different angles of attack and yaw. The attraction and side forces, and pitching and yawing moments, acting on the body, are obtained in terms of integrals along the body length. Numerical analyses reveal the variation trends of the force and moment in terms of the angles of attack and yaw of the body, the wavelength, amplitude, phase speed and direction of the water wave and the clearance between them. Significant dynamic effects of the water wave surface are noted, even when the wave phase speed is one order of magnitude smaller than the translation speed of the body.