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Hydrodynamic forces on a submerged circular cylinder undergoing large-amplitude motion

Published online by Cambridge University Press:  26 April 2006

G. X. Wu
G. X. Wu
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK
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Abstract

The hydrodynamic problem of a circular cylinder submerged below a free surface and undergoing large-amplitude oscillation is investigated based on the velocity potential theory. The body-surface boundary condition is satisfied on its instantaneous position while the free-surface condition is linearized. The solution is obtained by writing the potential in terms of the multipole expansion. Various interesting results associated with the circular cylinder are obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 254 , September 1993 , pp. 41 - 58
Copyright
© 1993 Cambridge University Press

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References

Abramowitz, M. & Stegun, M. 1965 Handbook of Mathematical Functions. Dover.
Dean, W. R. 1948 On the reflection of surface waves by a circular cylinder. Proc. Camb. Phil. Soc. 44, 483–491.Google Scholar
Eggers, K. W. H. 1979 A method for assessing numerical solution to the Neumann–Kelvin problem. Proc. Workshop on Ship Wave Resistance Computations, Maryland, USA. David Taylor Naval Ship Research and Development Center.
Evans, D. V. & Linton, C. M. 1989 Active devices for the reduction of wave intensity. Appl. Ocean Res. 11, 26–32.Google Scholar
Ferrant, P. 1990 A coupled time and frequency approach for nonlinear wave radiation. Eighteenth Symp. on Naval Hydrodynamics, University of Michigan, pp. 67–83. National Academy Press.
Lin, W. M. & Yue, D. 1990 Numerical solutions for large-amplitude ship motions in the time domain. Eighteenth Symp. on Naval Hydrodynamics, University of Michigan, pp. 41–65. National Academy Press.
Mei, C. C. 1982 The Applied Dynamics of Ocean Surface Waves. Wiley-Interscience.
Newman, J. 1977 Marine Hydrodynamics. MIT Press.
Ogilvie, T. F. 1963 First and second order forces on a cylinder submerged under the free surface. J. Fluid Mech. 16, 451–472.Google Scholar
Ogilvie, T. F. & Tuck, E. O. 1969 A rational strip theory for ship motions. Part 1. Rep. 012. Department of Naval Architecture and Marine Engineering, University of Michigan.
Ursell, F. 1949 On the heaving motion of a circular cylinder on the surface of fluid. Q. J. Mech. Appl. Maths 2, 218–231.Google Scholar
Ursell, F. 1950 Surface waves on deep water in the presence of a submerged circular cylinder. Proc. Camb. Phil. Soc. 46, 141–152.Google Scholar
Wu, G. X. & Eatock Taylor, R. 1990 The second order diffraction force on a horizontal cylinder in finite water depth. Appl. Ocean Res. 12, 106–111.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, 529–549.Google Scholar
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