GATE ME 2016 Set 1 | Turbulent Flow Question 1 | Fluid Mechanics

GATE ME 2016 Set 1

MCQ (Single Correct Answer)

-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 $$u'(x,y,z,t)$$

$$u'/2$$

$$ - {{\overline u } \over 2}$$

zero

$${{\overline u } \over 2}$$

GATE ME 2014 Set 3

MCQ (Single Correct Answer)

-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
$${\rm III}.$$ $$R{e_D} < 2300$$
$${\rm IV}.$$ $$R{e_D} > 2300$$

$${\rm I},$$ $${\rm III}$$

$${\rm II},$$ $${\rm IV}$$

$${\rm II},$$ $${\rm III}$$

$${\rm I},$$ $${\rm IV}$$

GATE ME 2013

MCQ (Single Correct Answer)

-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

$${\tau _w} = {{\Delta pD} \over {4L}}$$

$${\tau _w} = {{\Delta p{D^2}} \over {4{L^2}}}$$

$${\tau _w} = {{\Delta pD} \over {2L}}$$

$${\tau _w} = {{4\Delta pL} \over D}$$

GATE ME 2007

MCQ (Single Correct Answer)

-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 $$g=9.81$$ $$m/{s^2}$$)

$$116.18$$

$$0.116$$

$$18.22$$

$$232.36$$