1
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The instantaneous stream-wise velocity of a turbulent flow is given as follows: $$$u\left( {x,y,z,t} \right) = \overline u \left( {x,y,z} \right) + \mu '\left( {x,y,z,t} \right)$$$

The time - average of the fluctuating velocity $$u'(x,y,z,t)$$

A
$$u'/2$$
B
$$ - {{\overline u } \over 2}$$
C
zero
D
$${{\overline u } \over 2}$$
2
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider the turbulent flow of a fluid through a circular pipe of diameter, $$D.$$ Identify the correct pair of statements.
$${\rm I}.$$ The fluid is well-mixed
$${\rm II}.$$ The fluid is unmixed
$${\rm III}.$$ $$R{e_D} < 2300$$
$${\rm IV}.$$ $$R{e_D} > 2300$$
A
$${\rm I},$$ $${\rm III}$$
B
$${\rm II},$$ $${\rm IV}$$
C
$${\rm II},$$ $${\rm III}$$
D
$${\rm I},$$ $${\rm IV}$$
3
GATE ME 2013
MCQ (Single Correct Answer)
+1
-0.3
For steady, fully developed flow inside a straight pipe of diameter $$D,$$ neglecting gravity effects, the pressure drop $$\Delta p$$ over a length $$L$$ and the wall shear stress $${\tau _w}$$ are related by
A
$${\tau _w} = {{\Delta pD} \over {4L}}$$
B
$${\tau _w} = {{\Delta p{D^2}} \over {4{L^2}}}$$
C
$${\tau _w} = {{\Delta pD} \over {2L}}$$
D
$${\tau _w} = {{4\Delta pL} \over D}$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
Oil flows through a $$200mm$$ diameter horizontal cast iron pipe (friction factor, $$f=0.0225$$) of length $$500m.$$ The volumetric flow rate is $$0.2{m^3}/s.$$ The head loss (in $$m$$) due to friction is (assume $$g=9.81$$ $$m/{s^2}$$)
A
$$116.18$$
B
$$0.116$$
C
$$18.22$$
D
$$232.36$$
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