The viscous damping of capillary-gravity waves in a brimful circular cylinder

The natural frequency and damping rate of surface capillary-gravity waves in a circular cylinder with pinned-end edge conditions and clean surfaces depend on the inverse gravitational Reynolds number C, the Bond number B, the aspect ratio of the cylinder Lambda, and the radial and azimuthal wave numbers of each excited mode. A semianalytical method valid for arbitrary values of C, B, and Lambda is used. It is shown that the damping rate has a weak dependence on the Bond number and also that the oscillations become overdamped for large values of C or low values of Lambda. The results are compared with recent asymptotic calculations for small viscosity (which include viscous dissipation in the boundary layers and in the bulk), showing that the approximations yield good results if Cless than or similar to10(-3) and Lambdagreater than or similar to0.1, for all values of B. The results are also compared with experimental measurements (which include values of C larger than 10(-3)), showing a very good agreement. (C) 2002 American Institute of Physics.