Water Wave Radiation Problem by a Submerged Cylinder
Publication: Journal of Engineering Mechanics
Volume 140, Issue 5
Abstract
Based on the methods of variable separation and matching eigenfunction expansions for velocity potential, analytical solutions are developed for a water wave radiation problem by a submerged vertical cylinder in finite water depth. They are validated by comparison with results from the higher order boundary element method and convergent examinations on the number of expansion models. Numerical analysis is carried out to investigate the influence submerged depth, cylinder length, and water depth on added mass and radiation damping. When the submerged depth is large, the added mass approaches a stable value, and radiation damping tends to zero. At high frequency range, the heave and pitch of the added mass of the submerged cylinder is about twice that of the floating cylinder. The influence of cylinder length for hydrodynamic coefficients is quite complex and shows the various properties at different frequency ranges. Added mass can be increased with the decrease of water depth, whereas the effect of water depth on radiation damping is quite small.
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Acknowledgments
This work is supported by the National Basic Research Program (973) of China with grant No. 2011CB013700-03 and the National Nature Science Foundation of China (NSFC) projects with grant Nos. of 50921001 and 51279029.
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© 2014 American Society of Civil Engineers.
History
Received: May 6, 2013
Accepted: Oct 2, 2013
Published online: Oct 4, 2013
Published in print: May 1, 2014
Discussion open until: Jun 16, 2014
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