1
GATE ME 2022 Set 2
MCQ (More than One Correct Answer)
+1
-0
The velocity field in a fluid is given to be $\vec{V}=(4xy)\hat{i}+2(x^2-y^2)\hat{j}$ Which of the following statement(s) is/are correct?
A
The velocity field is one-dimensional.
B
The flow is incompressible.
C
The flow is irrotational.
D
The acceleration experienced by a fluid particle is zero at (x = 0, y = 0).
2
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33
A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is $\vec V = (2x) \hat i + (y + 3t) \hat j,$ and the temperature field in the fluid is T = 2x2 + xy + 4t, where x and y are the spatial coordinates, and t is the time. The time rate of change of temperature recorded by the probe at (x = 1, y = 1, t = 1) is _______.
A
4
B
0
C
18
D
14
3
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the two-dimensional velocity field given by
$$\overrightarrow V = \left( {5 + {a_1}x + {b_1}y} \right)\widehat i + \left( {4 + {a_2}x + {b_2}y} \right)\widehat j,$$
where $${a_1},\,\,{b_1},\,\,{a_2}$$ and $${b^2}$$ are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?
A
$${a_1} + {b_1} = 0$$
B
$${a_1} + {b_2} = 0$$
C
$${a_2} + {b_2} = 0$$
D
$${a_2} + {b_1} = 0$$
4
GATE ME 2016 Set 3
Fill in the Blanks
+1
-0
A channel of width $$450$$ $$mm$$ branches into two sub-channels having width $$300$$ $$mm$$ and $$200$$ $$mm$$ as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is $$0.9$$ $$3$$ $$m/s,$$ and the velocity in the sub-channel of width $$200$$ $$mm$$ is $$3$$ $$m/s,$$ the velocity in the sub-channel of width $$300$$ $$mm$$ is _____________ $$m/s$$.

Assume both inlet and outlet to be at the same elevation.

GATE ME 2016 Set 3 Fluid Mechanics - Fluid Kinematics Question 27 English
GATE ME Subjects
Turbo Machinery
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