Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-19T05:42:57.728Z Has data issue: false hasContentIssue false
  • English
  • Français

The slow-drift motion of arrays of vertical cylinders

Published online by Cambridge University Press:  26 April 2006

O. J. Emmerhoff  and
P. D. Sclavounos
O. J. Emmerhoff
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
P. D. Sclavounos
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The large-amplitude rectilinear ‘slow-drift’ oscillation of a floating body constrained by a weak restoring force in random waves is considered. The free-surface flow is approximated by a perturbation series expansion for a small slow-drift velocity and wave steepness. A model slow-drift equation of motion is derived, the time-dependent slow-drift excitation force and wave damping coefficient are defined and the complete series of free-surface problems governing their magnitude are formulated. The free-surface problem governing the wave-drift damping coefficient in monochromatic waves is studied and an explicit solution is obtained for a vertical circular cylinder of infinite draught. This solution is extended for arrays of vertical circular cylinders by employing an exact interaction theory. The wave-drift damping coefficient is evaluated for configurations of interest in practice and an expression is derived for the steady drifting velocity of an unconstrained body in regular waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 242 , September 1992 , pp. 31 - 50
Copyright
© 1992 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1972 Handbook of Mathematical Functions. Dover.
Davies, B. 1978 Integral Transforms and Their Applications. Springer.
Faltinsen, O. M. 1990 Sea Loads on Ships and Offshore Structures. Cambridge University Press.
Hermans, A. J. 1991 Slowly moving hull forms in short waves. J. Engng Maths 25, 63–75.Google Scholar
Huijsmans, R. H. M. & Hermans, A. J. 1985 A fast algorithm for computation of 3-D ship motions at moderate forward speed In 4th Intl Conf. on Numerical Ship Hydrodynamics.
Linton, C. M. & Evans, D. V. 1990 The interaction of waves with arrays of vertical circular cylinders. J. Fluid Mech. 215, 549–569.Google Scholar
Maruo, H. 1960 Wave resistance of a ship in regular head sea. Bull. Faculty Engng, Yokohama Natl Univ., vol. 9.
Newman, J. N. 1967 The drift force and moment on ships in waves. J. Ship Res. 11, 51–60.Google Scholar
Nossen, J., Grue, J. & Palm, E. 1991 Wave forces on three-dimensional floating bodies with small forward speed. J. Fluid Mech. 227, 135–160.Google Scholar
Wu, G. X. & Eatock-Taylor, R. 1990 The hydrodynamic force on an oscillating ship with low forward speed. J. Fluid Mech. 211, 333–353.Google Scholar
Zhano, R. & Faltinsen, O. M. 1988 Interaction between waves and current on a 2-D body in the free surface. Appl. Ocean Res. 10, 87–99.Google Scholar
Zhao, R. & Faltinsen, O. M. 1989 Interaction between current, waves and marine structures In 5th Intl Conf. on Numerical Ship Hydrodynamics.