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Hydraulics and Fluid Mechanics in ME

Hydraulics and Fluid Mechanics in ME
The distance y from pipe boundary, at which the point velocity is equal to average velocity for turbulent flow, is (where R is radius of pipe)

0.707 R
0.423 R
0.577 R
0.223 R

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Hydraulics and Fluid Mechanics in ME
The discharge through a small rectangular orifice is given by (where Cd = Coefficient of discharge for the orifice, a = Cross-sectional area of the orifice, h = Height of the liquid above the centre of the orifice)

Q = (Cd × a)/√(2gh)
Q = (2/3). Cd × a × h
Q = Cd × a × 2gh
Q = (3Cd × a)/√(2h)

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Hydraulics and Fluid Mechanics in ME
When an internal mouthpiece is running free, the discharge through the mouthpiece is (where a = Area of mouthpiece, and H = Height of liquid above the mouthpiece)

0.707 a. √2gH
0.855 a. √2gH
√2gH
0.5 a. √2gH

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Hydraulics and Fluid Mechanics in ME
The angle of taper on draft tube is

Less than 8°
Greater than 5°
Greater than 15°
Greater than 8°

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Hydraulics and Fluid Mechanics in ME
According to Newton's law of viscosity, the shear stress on a layer of a fluid is __________ to the rate of shear strain.

Equal to
Inversely proportional
Directly proportional
None of these

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Hydraulics and Fluid Mechanics in ME
Euler's equation in the differential form for the motion of liquids is given by

ρ.dp + g.dz + v.dv = 0
dp/ρ + g.dz + v.dv = 0
ρ.dp - g.dz + v.dv = 0
dp/ρ - g.dz + v.dv = 0

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