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The flow field downstream of a hydraulic jump

Published online by Cambridge University Press:  26 April 2006

Hans G. Hornung ,
Christian Willert  and
Stewart Turner
Hans G. Hornung
Affiliation:
Graduate Aeronautical Lab., California Institute of Technology, Pasadena, CA 91125, USA
Christian Willert
Affiliation:
Graduate Aeronautical Lab., California Institute of Technology, Pasadena, CA 91125, USA
Stewart Turner
Affiliation:
Graduate Aeronautical Lab., California Institute of Technology, Pasadena, CA 91125, USA Permanent address: Research School of Earth Sciences, Australian National University, Canberra, Australia
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Abstract

A control-volume analysis of a hydraulic jump is used to obtain the mean vorticity downstream of the jump as a function of the Froude number. To do this it is necessary to include the conservation of angular momentum. The mean vorticity increases from zero as the cube of Froude number minus one, and, in dimensionless form, approaches a constant at large Froude number. Digital particle imaging velocimetry was applied to travelling hydraulic jumps giving centre-plane velocity field images at a frequency of 15 Hz over a Froude number range of 2–6. The mean vorticity determined from these images confirms the control-volume prediction to within the accuracy of the experiment. The flow field measurements show that a strong shear layer is formed at the toe of the wave, and extends almost horizontally downstream, separating from the free surface at the toe. Various vorticity generation mechanisms are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 287 , 25 March 1995 , pp. 299 - 316
Copyright
© 1995 Cambridge University Press

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