1
GATE ME 2014 Set 2
Numerical
+2
-0
Water flows through a $$10$$ $$mm$$ diameter and $$250$$ $$m$$ long smooth pipe at an average velocity of $$0.1$$ $$m/s.$$ The density and the viscosity of water are $$997kg/{m^3}$$ and $$855 \times {10^{ - 6}}$$ $$N.s/{m^2},$$ respectively. Assuming fully-developed flow, the pressure drop (in $$Pa$$) in the pipe is ______________
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2
GATE ME 2014 Set 2
Numerical
+1
-0
The difference in pressure (in $$N/{m^2}$$) across an air bubble of diameter $$0.001$$ $$m$$ immersed in water (surface tension $$ = 0.072$$ $$N/m$$) is _____________.
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3
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
For an incompressible flow field , $$\overrightarrow {V,} $$ which one of the following conditions must be satisfied?
A
$$\nabla .\overrightarrow V = 0$$
B
$$\nabla \times \overrightarrow V = 0$$
C
$$\left( {\overrightarrow V .\nabla } \right)\overrightarrow V = 0$$
D
$${{\partial \overrightarrow V } \over {\partial t}} + \left( {\overrightarrow V .\nabla } \right)\overrightarrow V = 0$$
4
GATE ME 2014 Set 2
Numerical
+2
-0
A spherical balloon with a diameter of $$10m,$$ shown in the figure below is used for advertisements. The balloon is filled with helium $$\left( {{R_{He}} = 2.08\,\,\,\,kJ/kg.K} \right)$$ at ambient conditions of $${15^ \circ }C$$ and $$100\,\,kPa.$$ Assuming no disturbances due to wind , the maximum allowable weight (in Newton) of ballon material and rope required to avoid the fall of the balloon $$({R_{air}} = 0.289kJ/kg.K)$$ is _____________. GATE ME 2014 Set 2 Fluid Mechanics - Fluid Statics Question 12 English
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