1
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
$${a_2} + {b_1} = 0$$
2
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The volume tric flow rate (per unit depth) between two streamlines having stream functions $${\psi _1}$$ & $${\psi _2}$$ is
A
$$\left| {{\psi _1} + {\psi _2}} \right|$$
B
$${{\psi _1}{\psi _2}}$$
C
$${{\psi _1}/{\psi _2}}$$
D
$$\left| {{\psi _1} - {\psi _2}} \right|$$
3
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
For a certain two-dimensional incompressible flow, velocity field is given by $$2xy\widehat i - {y^2}\widehat j.$$ The streamlines for this flow are given by the family of curves
A
$${x^2}{y^2} = $$ constant
B
$$x{y^2} = $$ constant
C
$$2xy - {y^2}$$ $$=$$ constant
D
$$xy = $$ constant
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 22 English
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