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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A trapezoidal channel with bottom width of 3m and side slope of 1V I.5H carries a discharge of 8.0m³ /sec with the flow depth of 1.5m. The Froude number of the flow is
    1. 0.066
    2. 0.132
    3. 0.265
    4. 0.528
Correct Option: C

Fr =
V
gD


A = [B + My]y
= (3 + 1.5 × 1.5) 1.5
= 7.87 m²
T = B + 2 my
= 3 + (2 × 1.5 × 1.5)
= 7.5 m
D =
A
=
7.87
= 1.05 m
T7.5

V =
Q
=
8
= 1.016 m/s
A7.87

Fr =
V
gD

=
1.016
= 0.316 (none is correct)
9.8 × 1.05

If we take D ≈ y ,
Fr =
1.016
= 0.0265
9.81 × 1.5



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