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The effect of non-linearity at the free surface on flow past a submerged cylinder

Published online by Cambridge University Press:  28 March 2006

E. O. Tuck
E. O. Tuck
Affiliation:
David Taylor Model Basin, Washington, D.C.
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Abstract

Plane potential flow past a circular cylinder beneath a free surface under gravity is investigated in order to determine the importance or otherwise of non-linear effects from the free-surface boundary condition. It is shown that non-linear second-order corrections to the first-order linearized expressions for the wave-induced forces on the cylinder are considerably larger than second-order effects which are present even with a linear free-surface condition. Further evidence for the importance of non-linearity is presented in the form of streamline plots of the first-order solution showing strange behaviour at wave crests.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 401 - 414
Copyright
© 1965 Cambridge University Press

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References

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