Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-18T22:24:52.660Z Has data issue: false hasContentIssue false
  • English
  • Français

The initial development of a jet caused by fluid, body and free-surface interaction. Part 1. A uniformly accelerating plate

Published online by Cambridge University Press:  26 April 2006

A. C. King  and
D. J. Needham
A. C. King
Affiliation:
Department of Mathematics, University of Keele, Keele, Staffs, UK
D. J. Needham
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

The flow field induced by a vertical plate accelerating into a stationary fluid of finite depth with a free surface and a gravitational restoring force is investigated. This is a model problem for some technologically important design issues such as the bow splash of a ship moving at forward speed. Experimentally it is found that a thin jet forms on the plate and rises rapidly upwards. We investigate this jet in the small-time approximation and find an analytical solution for the flow field in which the jet emerges out of a thin region where the horizontal momentum of the main flow is converted by inertial effects into a rising jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 268 , 10 June 1994 , pp. 89 - 101
Copyright
© 1994 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

Chwang, A. T. 1983 Nonlinear hydrodynamic pressure on an accelerating plate. Phys. Fluids 26, 383.Google Scholar
Cointe, R. 1989 Solid-liquid impact analysis. ASME J. Offshore Mech. Arc. Engng 111, 109.Google Scholar
Cointe, R. & Armand, J.-L. 1987 Hydrodynamic Impact Analysis of a cylinder. ASME J. Offshore Mech. Arc. Engng 109, 237.Google Scholar
Frankel, I. 1990 Compressible flow induced by the transient motion of a wavemaker. Z. Angew. Math. Phys. 41, 628.Google Scholar
Greenhow, M. 1987 Wedge entry into initially calm water. Appl. Ocean Res. 9, 214.Google Scholar
Greenhow, M. 1993 A complex variable method for the floating body boundary-value problem. J. Comput. Appl. Maths 46, 115.Google Scholar
Greenhow, M. & Lin, W. M. 1983 Nonlinear free surface effects: experiment and theory. Rep. 83-19. Dept. Ocean Engng, MIT.
Howison, S., Ockendon, J. & Wilson, S. K. 1991 Wedge entry problems at small deadrise angle. J. Fluid Mech. 222, 215.Google Scholar
Joo, S. W., Schultz, W. W. & Messiter, A. F. 1990 An analysis of the initial wavemaker problem. J. Fluid Mech. 214, 161.Google Scholar
Roberts, A. J. 1987 Transient free surface flows generated by a moving vertical plate. Q. J. Mech. Appl. Maths 40, 129.Google Scholar
Yong, S. A. & Chwang, A. T. 1992 Experimental study of waves produced by an accelerating plate. Phys. Fluids A 4 2456.Google Scholar