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Surface-wave damping in a brimful circular cylinder
Martel, Carlos and Nicolás, José A.
Surface-wave damping in a brimful circular cylinder.
"Journal of Fluid Mechanics", v. 360
The natural frequencies and damping rates of surface waves in a circular cylinder with pinned-end boundary conditions are calculated in terms of the gravitational Reynolds and Bond numbers, C[minus sign]1 and B, and the slenderness of the cylinder [Lambda], in the limit C[rightward arrow]0. We consider higher-order approximations that include the effect of viscous dissipation in the Stokes boundary layers and the bulk. A comparison with clean-surface experiments by Henderson & Miles (1994) shows a satisfactory agreement except for the first axisymmetric mode, which exhibits a 26% discrepancy. The much larger dramatic discrepancy of former theoretical predictions is hereby improved and explained.
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