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Hydraulics and Fluid Mechanics in ME

Hydraulics and Fluid Mechanics in ME
The critical depth for a channel is given by (where q = Unit discharge (discharge per unit width) through the channel)

(q⁴/g)1/5
(q/g)1/2
(q²/g)1/3
(q³/g)1/4

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

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Hydraulics and Fluid Mechanics in ME
In a static fluid

Linear deformation is small
Resistance to shear stress is small
Fluid pressure is zero
Only normal stresses can exist

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Hydraulics and Fluid Mechanics in ME
Unit of surface tension is

Energy/unit area
Both of the above
Velocity/unit area
It has no units

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Hydraulics and Fluid Mechanics in ME
When a body is immersed wholly or partially in a liquid, it is lifted up by a force equal to the weight of liquid displaced by the body. This statement is called

Principle of flotation
Bernoulli’s theorem
Archimedes’s principle
Pascal’s law

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Hydraulics and Fluid Mechanics in ME
In case of an airfoil, the separation of flow occurs

at the extreme front of body
midway between rear and front of body
at the extreme rear of body
any where between rear and front of body depending upon Reynolds number

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