1
GATE ME 2014 Set 3
Numerical
+2
-0
A fluid of dynamic viscosity $$2 \times {10^{ - 5}}\,\,kg/m.s$$ and density $$1kg/{m^3}$$ flows with an average velocity of $$1$$ $$m/s$$ through a long duct of rectangular $$\left( {25\,\,mm \times \,\,15\,\,mm} \right)$$ cross-section. Assuming laminar flow, the pressure drop (in $$Pa$$) in the fully developed region per meter length of the duct is __________________.
Your input ____
2
GATE ME 2006
MCQ (Single Correct Answer)
+2
-0.6
The velocity profile in fully developed laminar flow in a pipe of diameter $$D$$ is given by $$u = {u_0}\left( {1 - 4{r^2}/{D^2}} \right),$$ where $$r$$ is the radial distance from the center. If the viscosity of the fluid is $$\mu ,$$ the pressure drop across a length $$L$$ of the pipe is
A
$${{\mu {u_0}L} \over {{D^2}}}$$
B
$${{4\mu {u_0}L} \over {{D^2}}}$$
C
$${{8\mu {u_0}L} \over {{D^2}}}$$
D
$${{16\mu {u_0}L} \over {{D^2}}}$$
3
GATE ME 1996
MCQ (Single Correct Answer)
+2
-0.6
For laminar flow through a long pipe, the pressure drop per unit length increases.
A
in linear proportion to the cross-sectional area
B
in proportion to the diameter of the pipe
C
in inverse proportion to the cross-sectional area
D
in inverse proportion to the square of cross-sectional area
4
GATE ME 1988
MCQ (Single Correct Answer)
+2
-0.6
The discharge in $${m^3}/s$$ for laminar flow through a pipe of diameter $$0.04$$ $$m$$ having a centre line velocity of $$1.5$$ $$m/s$$ is:
A
$$3\pi /50$$
B
$$3\pi /2500$$
C
$$3\pi /5000$$
D
$$3\pi /10000$$
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