INTERACTION OF VISCOUS WAKES WITH A FREE SURFACE
注意：本論文已在Applied Mathematics and Mechanics(English Edition, Vol 25, No 6, Jun
Abstract: The interaction of laminar wakes with free-surface waves generated by a moving
body beneath the surface of an incompressibleviscous fluid of infinite depth was investigated
analytically. The analysis was based on the steady Oseen equations for disturbed flows.
The kinematic and dynamic boundary conditions were linearized for the small-amplitude free-surface waves. The effect of the moving body was mathematically modeled as an
The disturbed flow was regarded as the sum of an unbounded singular Oseen flow which
represents the effect of the viscous wake and a bounded regular Oseen flow which represents
the influence of the free surface. The exact solution for the free-surface waves was obtained
by the method of integral transforms. The asymptotic representation with additive corrections
for the free-surface waves was derived by means of Lighthill's two-stage scheme. The
symmetric solution obtained shows that the amplitudes of the free-surface waves are
exponentially damped by the presences of viscosity and submergence depth.
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