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On the interaction of an infinite shallow draft cylinder oscillating at the free surface with a train of oblique waves

Published online by Cambridge University Press:  29 March 2006

C. J. Garrison
C. J. Garrison
Affiliation:
University of Washington, Seattle, Washington Present address: Dept. of Civil Engineering, Texas A & M University.
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Abstract

This paper presents the practical and rigorous solution of the potential flow problem associated with the oscillation of a shallow-draft cylinder of infinite length on a free surface. The problem is three-dimensional to the extent that the amplitude of the cylinder oscillation is periodic along its axis as well as with time. The complementary problem associated with the interaction of the fixed cylinder with an incident wave train aligned at some oblique angle with respect to the cylinder axis is also treated. The use of a Green's function reduces the problem to an integral equation which is solved numerically. Numerical results are computed for pressure amplitude distributions, force coefficients, added mass and damping coefficients, transmission and reflexion coefficients and wave height ratios.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 2 , 10 November 1969 , pp. 227 - 255
Copyright
© 1969 Cambridge University Press

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References

Dean, R. G. & Ursell, F. 1959 Interaction of a fixed, semi-immersed circular cylinder with a train of surface waves. Tech. Rep. no. 37, Hydro. Lab., M.I.T.
Gidlund, E. R. 1963 Interaction effects between surface waves and fixed semi-immersed obstacles by potential theory. Ph.D. dissertation, University of Washington (unpublished).
Gröbner, W. & Hofreiter, N. 1966 Intergraltafeln. New York: Springer.
Holford, R. L. 1964 Short surface waves in the presence of a finite dock. II Proc. Cam. Phil. Soc. 60, 985–1011.Google Scholar
John, F. 1950 On the motion of floating bodies. II Comm. Pure Appl. Math. 3, 45–101.Google Scholar
Kim, W. D. 1965 On the harmonic oscillations of a rigid body on a free surface J. Fluid Mech. 21, 427–451.Google Scholar
Kotik, J. & Mangulis, V. 1962 Some low-frequency damping coefficients for sections and bodies. Tech. Rep., Res. Group, Contract Nonr-2692(00), Office of Naval Research.Google Scholar
Levine, H. 1965 Scattering of surface waves by a submerged circular cylinder J. Math. Phys. 6, 1231–1243.Google Scholar
Maccamy, R. C. 1957 A source solution for short crested waves La Houille Blanche, 3, 379–389.Google Scholar
Maccamy, R. C. 1961 On the heaving motion of cylinders of shallow draft J. Ship Res. 5, no. 3, 34–43.Google Scholar
Maccamy, R. C. 1964 The motion of cylinders of shallow draft J. Ship Res. 7, no. 3, 1–11.Google Scholar
Newman, J. N. 1962 The exciting forces on fixed bodies in waves J. Ship Res. 6, 10–17.Google Scholar
Porter, W. R. 1960 Pressure distribution, added-mass and damping coefficients for cylinders oscillating in a free surface. Tech. Rep., series 82, issue 16, Inst. Engr. Res., University of California, Berkeley.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