Question

6. An overflow spillway flows into a mild channel, producing a hydraulic jump. The channel is...

6. An overflow spillway flows into a mild channel, producing a hydraulic jump. The channel is rectangular, with Q = 100 ft3/s, bottom width b = 20 ft, and Manning's n = 0.015. The flow depth at the toe of the spillway is 0.4 ft and the approximate slope at the toe of the spillway is 0.1. The slope of the [mild] downstream channel, which functions as a stilling basin, is 0.0001. Calculate:

 the critical depth,  the length Ltc from the toe of the spillway to critical depth downstream,  the Froude number at the toe of the spillway,  the Froude number downstream of the hydraulic jump,  the sequent depth y2 (the normal depth downstream of the hydraulic jump),  the length Lj of the jump, assuming Lj = 6.2 y2  the minimum length of the stilling basin Lsb = Ltc + Lj

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