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Free-surface waves and far wakes generated by a floating body in a viscous fluid

注意:本论文已在. Journal of Hydrodynamics, Ser. B, Vol. 15, No. 4, pp.10-16. Aug. 2003.发表
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Lu Dong-qiang[卢东强].
Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China
Shanghai institute of Applied Mathematics and Mechanics, Shanghai University, Shagnhai, 200072, China 

Abstract: The free-surface waves and the flow field due to a body moving on the surface of an incompressible viscous fluid of infinite depth were studied analytically. The floating body was modeled as a normal point pressure on the free surface. Based on the Oseen approximation for governing equations and the linearity assumption for boundary conditions, the exact solutions in integral form for the free-surface elevation, the velocities and the pressure were given. By employing Lighthill's two-stage scheme, the asymptotic representations in far field for large Reynolds numbers were derived explicitly. The effect of viscosity on the wave profiles was expressed by an exponential decay factor, which removes the singular behavior predicted by the potential theory.
Keywords: free-surface waves, velocity distribution, floating body, viscosity, asymptotic representation, Lighthill's two-stage scheme

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