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.
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.
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