Wave Forcing of Small Floating Bodies
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132, Issue 3
Abstract
We investigate the drift of small bodies (bodies which do not significantly disturb the fluid) in waves. We begin with the slope sliding models of Rumer and Marchenko, and we establish that the models are different and that the correct model is due to Marchenko. We then investigate the slope sliding model when we have linear wave forcing of constant frequency (for which the differences between the two models vanish). We establish that the drift velocity, for this case, is independent of initial position, which contradicts published results in which drift velocity was shown to depend on initial position. The reason for the error in previous results was the slow decay of the transient motion. For this reason we present a numerical method to calculate the drift velocity, which avoids the problems associated with the slow decay of the transient motion. Some results for the drift velocity are given.
Get full access to this article
View all available purchase options and get full access to this article.
References
Hildebrand, F. B. (1965). Methods of applied mathematics, 2nd Ed., Prentice–Hall, Englewood Cliffs, N.J.
Marchenko, A. V. (1999). “The floating behaviour of a small body acted upon by a surface wave.” J. Appl. Math. Mech., 63(3), 471–478.
Perko, L. P. (1991). Differential equations and dynamical systems, Springer, New York.
Rumer, R. R., Crisman, R., and Wake, A. (1979). “Ice transport in great lakes.” Water Resources and Environmental Engineering Research Rep. No. 79-3, NY State Univ. at Buffalo, Buffalo, N.Y.
Shen, H. H., and Ackley, A. F. (1991). “A one-dimensional model for wave inducted ice-flow collisions.” Ann. Glaciol., 15, 87–95.
Shen, H. H., and Zhong, Y. (2001). “Theoretical study of the drift of small rigid floating objects in a wave field.” J. Waterw., Port, Coastal, Ocean Eng., 127(6), 343–351.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Jul 7, 2004
Accepted: Jul 5, 2005
Published online: May 1, 2006
Published in print: May 2006
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.