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Turbulent bores and hydraulic jumps

Published online by Cambridge University Press:  20 April 2006

P. A. Madsen  and
I. A. Svendsen
P. A. Madsen
Affiliation:
Institute of Hydrodynamics and Hydraulic Engineering (ISVA), Technical University of Denmark, Building 115, DK 2800 Lyngby, Denmark Present address: Danish Hydraulic Institute, Horsholm, Denmark.
I. A. Svendsen
Affiliation:
Institute of Hydrodynamics and Hydraulic Engineering (ISVA), Technical University of Denmark, Building 115, DK 2800 Lyngby, Denmark
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Abstract

A theoretical model for the velocity field and the surface profile of bores and hydraulic jumps is developed. The turbulence is assumed to be concentrated in a wedge that originates at the toe of the front and spreads towards the bottom, and the turbulent closure used is a simplified k-ε model allowing for non-equilibrium in the turbulent kinetic energy. The flow equations are satisfied in depth-integrated form (method of weighted residuals), and measured deviations from static pressure are analysed and shown to have a negligible effect on the results. Comparison with measurements shows good agreement, but there is a clear need for further experimental results in the highly turbulent region near the free surface. Some basic mechanisms of the flow are discussed and explained from the theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 129 , April 1983 , pp. 1 - 25
Copyright
© 1983 Cambridge University Press

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