1
GATE CE 2025 Set 1
Numerical
+2
-0

A 5.0 m wide rectangular channel carries a discharge of $10 \mathrm{~m}^3 / \mathrm{s}$ at a depth of 1.5 m under uniform flow. To produce critical flow conditions without affecting the upstream conditions, the channel bottom elevation should be raised (in m ) by _________ (rounded off to 2 decimal places).

Assume that there is no loss of head at the raise, kinetic energy correction factor is 1.0 , and acceleration due to gravity is $9.81 \mathrm{~m} / \mathrm{s}^2$.

Your input ____
2
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

A compound symmetrical open channel section as shown in the figure has a maximum of _______ critical depth(s).

GATE CE 2023 Set 2 Fluid Mechanics and Hydraulic Machines - Open Channel Flow Question 8 English

Bm – Bottom width of main channel

Bf – Bottom width of flood channel

ym – Depth of main channel

y – Total depth of the channel

nm – Manning’s roughness of the main channel

nf – Manning’s roughness of the flood channel

A
3
B
2
C
1
D
4
3
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

The critical flow condition in a channel is given by _______.

[Note: 𝛼 – kinetic energy correction factor; 𝑄 – discharge; Ac – cross-sectional area of flow at critical flow condition; Tc – top width of flow at critical flow condition; 𝑔 – acceleration due to gravity]

A
$\rm\frac{\alpha Q^2}{g}=\frac{A_c^3}{T_c}$
B
$\rm\frac{\alpha Q}{g}=\frac{A_c^3}{T_c^2}$
C
$\rm\frac{\alpha Q^2}{g}=\frac{A_c^3}{T_c^2}$
D
$\rm\frac{\alpha Q}{g}=\frac{A_c^3}{T_c}$
4
GATE CE 2023 Set 2
Numerical
+2
-0

The cross-section of a small river is sub-divided into seven segments of width 1.5 m each. The average depth, and velocity at different depths were measured during a field campaign at the middle of each segment width. The discharge computed by the velocity area method for the given data is _____ m3/s (round off to one decimal place).

Segment Average depth (D) (m) Velocity (m/s) at 0.2D Velocity (m/s) at 0.6D Velocity (m/s) at 0.8D
1 0.40 -- 0.40 --
2 0.70 0.76 -- 0.70
3 1.20 1.19 -- 1.13
4 1.40 1.25 -- 1.10
5 1.10 1.13 -- 1.09
6 0.80 0.69 -- 0.65
7 0.45 -- 0.42 --
Your input ____
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