Author:
SVENDSEN IB A.,VEERAMONY J.,BAKUNIN J.,KIRBY J. T.
Abstract
Velocity and surface measurements in three turbulent hydraulic jumps are analysed
in detail. The velocity measurements were obtained in a hydraulic ume using laser-
Doppler velocimetry and the surface measurements were obtained using capacitance
wave gauges. The purpose is to extract information about the flow field and the
stresses in the jumps and the geometrical extension of the recirculating region called
the roller. To achieve this we first ensure that the overall continuity and momentum
conservation for the flow is satisfied. This includes comparison with the classical
results for hydraulic jumps. It is found that deviations from uniform-depth Reynolds-
averaged velocities and hydrostatic pressure give small but important corrections
to the conservation equations. Careful evaluation of the velocity measurements in
conjunction with the continuity equation makes it possible to determine the lower
limit of the recirculating roller region. Measurements of the Reynolds stresses are
analysed, in particular in the roller region, and a simple model established that
illustrates the mechanisms of the flow in the roller and predicts well the stresses
along the lower limits of the roller. In combination with the analysis of the vorticity
distribution, this leads to a qualitative description of the processes for the generation
of vorticity. It suggests both similarities and differences from the hypothesis of the
existence of a shear layer inside the jump. Similarity profiles are developed for the
variation of stresses, vorticity, and eddy viscosity along the lower limit of the roller.
Finally, the total angular momentum for the jumps is examined and compared to the
analysis of Hornung, Willert & Turner (1995).
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
78 articles.
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