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THE EFFECTS OF CURVATURE IN SUPERCRITICAL SIDE WEIR FLOW

Author(s): D.J. Balmforth; E.J. Sarginson

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Abstract: A method for analysing supercritical flow in a channel fitted with a side weir has been developed and tested against experimental data. Results of the experimental programme have established the conditions under which supercritical flow occurs along a side weir, and showed that in cases where the flow upstream of the weir is subcritical the draw-down to supercritical flow produces sufficient curvature of the streamlines to affect the vertical pressure distribution. Modification of the differential equation to allow for curvature effects has significantly improved the accuracy of computation of depths and discharges. The depth at the upstream end of the weir is shown to be a function of the upstream critical depth, the weir crest height and the slope of the channel, and the rate of change of surface curvature along the upstream portion of the weir is found to depend on the upstream critical depth. Apart from these relationships little use is made of empirical formulae in analysis, so that the method may be applied to any side weir where supercritical flow occurs.

DOI: https://doi.org/10.1080/00221688309499455

Year: 1983

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