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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

Direction: A rectangular channel 6.0 m wide carries a discharge of 16.0 m3 /s under uniform condition with normal depth of 1.60 m. Manning’s ‘n’ is 0.015.

  1. A jump is to be provided on the channel bed. The maximum height of the jump without affecting the upstream flow condition is
    1. 0.50 m
    2. 0.40 m
    3. 0.30 m
    4. 0.20 m
Correct Option: B

Flow is sub-critical.
Specific energy, Ec
z – height

Ec + z = y1 +
1
2g

Ec =
3
× yc
2

=
3
×
1/3
2g

q =
Q
=
16
= 2.67m³/s/m
b6

Ec =
3
×
2.67²
1/3 = 1.67 m/s
29.81

V1 =
Q
=
16
= 1.67 m/s
A6 × 1.6

∴ 1.35 + z = 1.6 +
1.67²
2 × 9.81

∴ z = 1.74 – 1.35 = 0.4 m.



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