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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A partially open sluice gate discharges water into a rectangular channel. The tail water depth
    in the channel is 3 m and Froude number is
    1
    . If a free hydraulic jump is to be
    2 √2
    formed at a downstream of the sluice gate after the vena contracta of the jet coming out from the sluice gae, the sluice gate opening should be (coefficient of contraction Cc = 0.9)
    1. 0.3 m
    2. 0.4 m
    3. 0.69 m
    4. 0.9 m
Correct Option: C

y1 =
y2
[-1 + √1 + 8Fr22]
2


= 0.62 m
Coeff. of contraction, Cc
Cc =
area of vena contract
area of opening

⇒ 0.9 =
0.62 × b
y × b

∴ y =
0.62
= 0.69 m
0.9



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