1
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
$$\left| {{\psi _1} - {\psi _2}} \right|$$
2
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
3
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
4
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
If the fluid velocity for a potential flow is given by $$V\left( {x,y} \right) = u\left( {x,y} \right)i + v\left( {x,y} \right)j$$ with usual notations, then the slope of potential line at $$(x, y)$$ is
A
$${v \over u}$$
B
$$ - {u \over v}$$
C
$${{{v^2}} \over {{u^2}}}$$
D
$${u \over v}$$
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