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Hydraulics and Fluid Mechanics in ME

Hydraulics and Fluid Mechanics in ME
A balloon lifting in air follows the following principle

All of these
Archimedes principle
law of gravitation
principle of buoyancy

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Hydraulics and Fluid Mechanics in ME
The discharge through a channel of rectangular section will be maximum, if

Its breadth is thrice the depth
Its depth is thrice the breadth
Its breadth is twice the depth
Its depth is twice the breadth

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Hydraulics and Fluid Mechanics in ME
An air vessel is provided at the summit in a siphon to

Increase discharge
Increase velocity
Avoid interruption in the flow
Maintain pressure difference

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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)

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

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

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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
0.223 R
0.577 R
0.423 R

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