1
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
Consider a velocity field $$\overrightarrow V = K\left( {y\widehat i + x\widehat k} \right),$$ where $$K$$ is a constant. The vorticity, $${\Omega _z},$$ is
A
$$-K$$
B
$$K$$
C
$$-K/2$$
D
$$K/2$$
2
GATE ME 2010
MCQ (Single Correct Answer)
+2
-0.6
Velocity vector of a flow fields is given as $$\overrightarrow V = 2xy\widehat i - {x^2}z\widehat j.$$ The vorticity vector at $$(1,1,1)$$ is
A
$$4\,\,\widehat i - \widehat j$$
B
$$4\,\,\widehat i - \widehat k$$
C
$$\widehat i - 4\widehat j$$
D
$$\widehat i - 4\widehat k$$
3
GATE ME 2009
MCQ (Single Correct Answer)
+2
-0.6
You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following three flow choices. Expressed in terms of the two - dimensional velocity fields in the $$x-$$ $$y$$ plane, are made available.
$$P:$$ $$u = 2y,\,\,\,v = - 3x$$
$$Q:$$ $$u=3xy,$$ $$\,\,\,\,$$$$v=0$$
$$R:$$ $$u=-2x,$$ $$\,\,\,\,$$$$v=2y$$

Which flows should be recommended when the application requires the flow to be incompressible and irrotational?

A
$$P$$ and $$R$$
B
$$R$$ only
C
$$Q$$ and $$R$$
D
$$R$$ only
4
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
The gap between a moving circular plate and a stationary surface is being continuously reduced, as the circular plate comes down at a uniform speed $$V$$ towards the stationary bottom surface, as shown in the figure. In the process, the fluid contained between the two plates flows out radially. The fluid is assumed to be incompressible and inviscid. GATE ME 2008 Fluid Mechanics - Fluid Kinematics Question 9 English

The radial component of the fluid acceleration at $$r=R$$ is

A
$${{3{V^2}R} \over {4{h^2}}}$$
B
$${{{V^2}R} \over {4{h^2}}}$$
C
$${{{V^2}R} \over {2{h^2}}}$$
D
$${{{V^2}h} \over {4{R^2}}}$$
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Turbo Machinery
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