Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-09T08:51:00.948Z Has data issue: false hasContentIssue false
  • English
  • Français

Surf-skimmer planing hydrodynamics

Published online by Cambridge University Press:  26 April 2006

E. O. Tuck  and
A. Dixon
E. O. Tuck
Affiliation:
University of Adelaide, South Australia 5001, Australia
A. Dixon
Affiliation:
University of Adelaide, South Australia 5001, Australia Present address: School of Engineering, University of Exeter, North Park Road, Exeter EX4 4QF, UK.
Get access Rights & Permissions [Opens in a new window]

Abstract

Matched asymptotic expansions are used to analyse the flow past a two-dimensional planing surface in shallow water. A simple momentum conservation relation is obtained connecting leading-edge height, trailing-edge height, and ambient water depth, from which the (initially unknown) wetted length can be determined. This relationship is confirmed by an explicit solution for the flow in the splash zone near the leading edge. The theory is used to discuss the dynamics of a freely skimming board carrying a given weight whose point of application is a given distance ahead of the trailing edge.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 205 , August 1989 , pp. 581 - 592
Copyright
© 1989 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

Edge, R. D. 1968 The surf skimmer. Am. J. Phys. 36, 630–631.Google Scholar
Green, A. E. 1936 The gliding of a plane on a stream of finite depth. Proc. Camb. Phil. Soc. 31, 589–603.Google Scholar
Read, G. M. 1989 Extreme ground effect. PhD thesis, University of Adelaide.
Squire, H. B. 1957 The motion of a simple wedge along the water surface. Proc. R. Soc. Lond. A 243, 48–64.Google Scholar
Stoker, J. J. 1957 Water Waves. Interscience.
Tuck, E. O. 1981 Steady flow and static stability of airfoils in extreme ground effect. J. Engng Maths 15, 89–102.Google Scholar
Tuck, E. O. 1983 Nonlinear extreme ground effect on thin wings of arbitrary aspect ratio. J. Fluid Mech. 136, 73–84.Google Scholar
Tuck, E. O. 1989 Planing surfaces. Solution Methods for Integral Equations (ed. M. Golberg), chap. 11. Plenum.