Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-19T05:04:38.773Z Has data issue: false hasContentIssue false
  • English
  • Français

On the virtual-mass and damping coefficients for long waves in water of finite depth

Published online by Cambridge University Press:  11 April 2006

F. Ursell
F. Ursell
Affiliation:
Department of Mathematics, University of Manchester, England
Get access Rights & Permissions [Opens in a new window]

Abstract

A half-immersed circular cylinder is making vertical oscillations on water of finite constant depth. The virtual-mass and damping coefficients are studied in the limit as the wavelength tends to infinity. It is found that the virtual-mass coefficient tends to a finite limit and that the amplitude ratio ultimately varies as the frequency. This behaviour differs from the behaviour for infinite depth, where the virtual-mass coefficient tends to infinity and the amplitude ratio ultimately varies as (frequency).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 1 , 14 July 1976 , pp. 17 - 28
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Erdélyi, A. (ed.) 1953 Higher Transcendental Functions, vol. 1. McGraw-Hill.Google Scholar
Rhodes-Robinson, P. F. 1970 On the short-wave asymptotic motion due to a cylinder heaving on water of finite depth. Part II. Proc. Camb. Phil. Soc. 67, 443–468.Google Scholar
Ursell, F. 1949 On the heaving motion of a circular cylinder on the surface of a fluid. Quart. J. Mech. Appl. Math. 2, 218–231.Google Scholar
Yu, Y. S. & Ursell, F. 1961 Surface waves generated by an oscillating circular cylinder on water of finite depth: theory and experiment. J. Fluid Mech. 11, 529–551.Google Scholar