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Hydraulics and Fluid Mechanics in ME

Hydraulics and Fluid Mechanics in ME
If the velocity is zero over half of the cross-sectional area and is uniform over the remaining half, then the momentum correction factor is

1
43924
2
4

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Hydraulics and Fluid Mechanics in ME
Maximum impulse will be developed in hydraulic ram when

Supply pipe is long
Waste valve closes suddenly
Ram chamber is large
Supply pipe is short

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Hydraulics and Fluid Mechanics in ME
The diameter of the nozzle (d) for maximum transmission of power is given by (where D = Diameter of pipe, f = Darcy’s coefficient of friction for pipe, and l = Length of pipe)

d = (D⁵/8fl)1/2
d = (D⁵/8fl)1/5
d = (D⁵/8fl)1/3
d = (D⁵/8fl)1/4

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Hydraulics and Fluid Mechanics in ME
The total pressure on the top of a closed cylindrical vessel completely filled up with a liquid is

Directly proportional to (radius)4
Directly proportional to (radius)2
Inversely proportional to (radius)4
Inversely proportional to (radius)2

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Hydraulics and Fluid Mechanics in ME
The torque required to overcome viscous resistance of a collar bearing is (where R1 and R2 = External and internal radius of collar)

(μπ²N/60t) × (R₁² - R₂²)
μπ²N/60t) × (R₁³ - R₂³)
(μπ²N/60t) × (R₁ - R₂)
(μπ²N/60t) × (R₁⁴ - R₂⁴)

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Hydraulics and Fluid Mechanics in ME
The correct relationship among displacement thickness d, momentum thickness m and energy thickness e is

d > m > e
e > m > d
e > d > m
d > e > m

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