Given is the flow of a channel of large width b under a sluice gate, as in Fig. P10.69. Assuming frictionless steady flow with negligible upstream kinetic energy, derive a formula for the dimensionless flow ratio 2 3 2 Q /(y1b g) as a function of the ratio y2/y1.
Show by differentiation that the maximum flow rate occurs at y2 = 2y1/3.

Transcribed Image Text:

Gate Y2