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1
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.

2
GATE CE 2024 Set 1
Numerical
+2
-0

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).

Your input ____
3
GATE CE 1996
MCQ (Single Correct Answer)
+2
-0.6
Shear stress in the Newtonian fluid is proportional to
A
pressure
B
strain
C
strain rate
D
the inverse of the viscosity
4
GATE CE 1996
MCQ (Single Correct Answer)
+2
-0.6
A liquid of density $$\mathrm\rho$$ and dynamic viscosity $$\mathrm\mu$$ flows steadily down an inclined plane in a thin sheet of constant thickness t. Neglecting air friction the shear stress on the bottom surface due to the liquid flow is (where θ is the angle, the plane makes with horizontal)
A
$$\mathrm\rho\;\mathrm g\;\mathrm t\;\sin\left(\mathrm\theta\right)$$
B
$$\mathrm\rho\;\mathrm g\;\mathrm t\;\cos\left(\mathrm\theta\right)$$
C
$$\mathrm\mu\sqrt{\mathrm g/\mathrm t}$$
D
$$\mathrm{ρg}$$
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