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Surface-wave damping in a circular cylinder with a fixed contact line

Published online by Cambridge University Press:  26 April 2006

D. M. Henderson  and
J. W. Miles
D. M. Henderson
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
J. W. Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, CA 92093–0225, USA
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Abstract

The natural frequencies and damping ratios for surface waves in a circular cylinder are calculated on the assumptions of a fixed contact line, Stokes boundary layers, and either a clean or a fully contaminated surface. These theoretical predictions are compared with the measurements for the first six modes in a brimfull, sharp-edged cylinder of radius 2.77 cm and depth 3.80 cm. The differences between the predicted and observed frequencies were less than 0.5% for all but the fundamental axisymmetric mode with a clean surface. The difference between the predicted and observed damping ratio for the dominant mode with a clean surface was 20%; this difference was significantly larger for the higher modes with a clean surface and for all of the modes with a contaminated surface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 275 , 25 September 1994 , pp. 285 - 299
Copyright
© 1994 Cambridge University Press

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