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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A spillway discharges flood flow at the rate of 9 m3 /s per metre width. If the depth of flow on the horizontal apron at the toe of the spillway is 46 cm, the tail water depth needed to form a hydraulic jump is approximately given by which of the following options?
    1. 2.54 m
    2. 4.90 m
    3. 5.77 m
    4. 6.23 m
Correct Option: C

q = 9 m³/s/m.width
y2 = 46 cm

y1
=
1
[ - 1 + √1 + 8F²2 ]
y22

F2 =
=
9
= 9.21
g y³9.81 × (0.46)³

y1 =
0.46
[ - 1 + √1 + 8(9.21)²]
2

= 5.77 m.



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