Water flows underneath a sluice gate in a wide rectangular channel with a water depth of y 0 = 0.3..

Water flows underneath a sluice gate in a wide rectangular
channel with a water depth of y0 = 0.3 m. This depth is one-third of
the critical depth. Downstream of the sluice gate, the water flow creates a
hydraulic profile, which ends in a hydraulic jump. The alternate depth at the
downstream side of the jump is y2 = 1.15 m. The Manning roughness
coefficient is n = 0.022. The channel is long and ends at an overfall.

(a) What are the critical depth and the discharge per unit
width in the channel?

(b) What are the normal depth and the longitudinal slope of
the channel?

(c) Provide a
»

Water flows underneath a sluice gate in a wide rectangular
channel with a water depth of y0 = 0.3 m. This depth is one-third of
the critical depth. Downstream of the sluice gate, the water flow creates a
hydraulic profile, which ends in a hydraulic jump. The alternate depth at the
downstream side of the jump is y2 = 1.15 m. The Manning roughness
coefficient is n = 0.022. The channel is long and ends at an overfall.

(a) What are the critical depth and the discharge per unit
width in the channel?

(b) What are the normal depth and the longitudinal slope of
the channel?

(c) Provide a schematic of the channel, in which you specify
the various hydraulic profiles and their types.

(d) What is the water depth upstream of the hydraulic jump?

(e) What is the head loss associated with the hydraulic
jump?

(f) Calculate the shape of the hydraulic profile by applying
the Simpson one-third rule of integration.

»

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