1
GATE CE 2024 Set 1
Numerical
+1
-0.33

A 30 cm diameter well fully penetrates an unconfined aquifer of saturated thickness 20 m with hydraulic conductivity of 10 m/day. Under the steady pumping rate for a long time, the drawdowns in two observation wells located at 10 m and 100 m from the pumping well are 5 m and 1 m, respectively. The corresponding pumping rate (in m³/day) from the well is _____________ (rounded off to 2 decimal places).

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2
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833

A flow velocity field $\vec{V} : \vec{V}(x, y)$ for a fluid is represented by

$\vec{V} = 3 \hat{i} + (5x) \hat{j}$

In the context of the fluid and the flow, which one of the following statements is CORRECT?

A

The fluid is incompressible and the flow is rotational.

B

The fluid is incompressible and the flow is irrotational.

C

The fluid is compressible and the flow is rotational.

D

The fluid is compressible and the flow is irrotational.

3
GATE CE 2024 Set 1
Numerical
+2
-0.833

A standard round bottom triangular canal section as shown in the figure has a bed slope of 1 in 200. Consider the Chezy’s coefficient as 150 m1/2/s.

GATE CE 2024 Set 1 Fluid Mechanics and Hydraulic Machines - Properties of Fluids Question 6 English
The normal depth of flow, y (in meters) for carrying a discharge of 20 m3/s is ___________ (rounded off to 2 decimal places).

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4
GATE CE 2024 Set 1
Numerical
+2
-0.833

A 5 m × 5 m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use $\gamma_w$ = 10 kN/m³ and Specific gravity of oil = 0.8.

GATE CE 2024 Set 1 Fluid Mechanics and Hydraulic Machines - Fluid Statics Question 3 English

The total force (in kN) due to pressure on the side PQR of the tank is _______________ (rounded off to the nearest integer).

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