Hornung, Hans G. and Willert, Christian and Turner, Stewart (1995) The flow field downstream of a hydraulic jump. Journal of Fluid Mechanics, 287 . pp. 299-316. ISSN 0022-1120 http://resolver.caltech.edu/CaltechAUTHORS:HORjfm95
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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.
|Additional Information:||Copyright © 1995 Cambridge University Press. Reprinted with permission. (Received 15 April 1994 and in revised form 13 August 1994) We wish to acknowledge the financial support of one of us (S.T.) by the Fairchild Foundation during the period of the experiments. We are also very grateful to Dr F. Raichlen for providing the use of the water channel. Dr Willert and the DPIV system were supported by an Office of Naval Research URI Grant (ONR-NOOOl4-92-J-1610).|
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