1
GATE ME 2016 Set 1
+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
+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
+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
+1
-0.3
Consider steady laminar incompressible axi-symmetric fully developed viscous flow through a straight circular pipe of constant cross - sectional area at a Reynolds number of $$5.$$ The ratio of inertia force to viscous force on a fluid particle is
A
$$5$$
B
$${1 \over 5}$$
C
$$0$$
D
$$\infty$$
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