Hostname: page-component-7c8c6479df-r7xzm Total loading time: 0 Render date: 2024-03-29T06:00:56.550Z Has data issue: false hasContentIssue false

Free surface flows past surfboards and sluice gates

Published online by Cambridge University Press:  01 February 2006

B. J. BINDER
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK email b.binder@uea.ac.uk, J.Vanden-broeck@uea.ac.uk
J.-M. VANDEN-BROECK
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK email b.binder@uea.ac.uk, J.Vanden-broeck@uea.ac.uk

Abstract

Free surface potential flows past surfboards and sluice gates are considered. The problem is solved numerically by boundary integral equation methods. In addition weakly nonlinear solutions are presented. It is shown among the six possible types of steady flows, only three exist. The physical relevance of these solutions is discussed in terms of the radiation condition (which requires that there is no energy coming from infinity). In particular, it is shown there are no steady subcritical flows which satisfy the radiation condition. Similarly there are no solutions for the flow under a sluice gate.

Type
Papers
Copyright
2005 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.)