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Higher order critical flow condition in curved streamline flow

Author(s): Oscar Castro-Orgaz; Juan Vicente Giráldez; Jose Luis Ayuso

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Keywords: Critical flow; one-dimensional flow; open channels; spillways; weirs

Abstract: A new extended Bernoulli energy equation, which is valid for moderately curved channel flows, is presented. From this generalized energy equation, a higher order critical flow condition valid for curved streamline flow was developed. As a practical application, the flow over a circular-crested weir was studied. The proposed new critical flow theory improves the results of a previous lower order theory up to a dimensionless specific energy of 2, thus obtaining accurate results in situations in which the velocity is non-uniform, the pressure non-hydrostatic, and the conventional critical flow theory not valid.

DOI: https://doi.org/10.1080/00221686.2008.9521931

Year: 2008

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