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PERTURBATION SOLUTION OF SPATIALLY VARIED FLOW IN OPEN CHANNELS

Author(s): Mohammad Akram Gill

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Abstract: Approximate algebraic solutions are developed using the method of perturbation for spatially varied flow in open channels. The predictions from algebraic solutions are sufficiently accurate for subcritical flows in the range of yu =0.5 to 1.1 where yu is the dimensionless depth at the upstream end. Algebraic results are also obtained for mixed flow regime. In the supercritical subregime of the mixed regime flow, the predictions are as accurate as the earlier numerical results given by Li. Analytical results are also produced taking hydraulic friction into account. Experimental results are presented in support of the analytical equations for subcritical regime. The fact that hydraulic friction is appreciably increased in spatially varied flows as noted in some earlier studies is confirmed.

DOI: https://doi.org/10.1080/00221687709499639

Year: 1977

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