sluice gate at the base of a large reservoir is raised 1.7 m (see Figure below), and the water discharges through this 5.0 m-wide rectangular orifice into a rectangular channel of the same width. If a hydraulic jump forms in the channel, determine: a. velocity at the opening of the sluice gate b. Froude number of the flow under the sluice gate, and prove that it is supercritical c. conjugate depths, d1 and d2 d. height of the hydraulic jump (d2-d1)
sluice gate at the base of a large reservoir is raised 1.7 m (see Figure below), and the water discharges through this 5.0 m-wide rectangular orifice into a rectangular channel of the same width. If a hydraulic jump forms in the channel, determine: a. velocity at the opening of the sluice gate b. Froude number of the flow under the sluice gate, and prove that it is supercritical c. conjugate depths, d1 and d2 d. height of the hydraulic jump (d2-d1)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A sluice gate at the base of a large reservoir is raised 1.7 m (see Figure below), and the water
discharges through this 5.0 m-wide rectangular orifice into a rectangular channel of the same
width. If a hydraulic jump forms in the channel, determine:
a. velocity at the opening of the sluice gate
b. Froude number of the flow under the sluice gate, and prove that it is supercritical
c. conjugate depths, d1 and d2
d. height of the hydraulic jump (d2-d1)
Transcribed Image Text:HINT: Since the reservoir is large, assume that the water depth will not change rapidly and that the
depth of water in the tank represents total head E1 = 3.0 m. Also, from Law of Conservation of
Energy, E1 = Ez, where Ez is the total energy under the gate, and therefore you can use
Bernoulli's equation to solve for velocity.
sluice gate
hydraulic
jump
teservoir
:3:0m
1.7m
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