Hydraulics and Fluid Mechanics in ME
According to fan laws, at constant speed and capacity, the pressure and power vary

Inversely as square root of density
Inversely as density
Directly as the air or gas density
As square of density

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Hydraulics and Fluid Mechanics in ME
The discharge through a large rectangular orifice is given by (where H1 = Height of the liquid above the top of the orifice, H2 = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice, and Cd = Coefficient of discharge)

Q = (2/3) Cd × b × √(2g) × (H21/2 - H11/2)
Q = (2/3) Cd × b × √(2g) × (H2 - H1)
Q = (2/3) Cd × b × √(2g) × (H22 - H12)
Q = (2/3) Cd × b × √(2g) × (H23/2 - H13/2)

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Hydraulics and Fluid Mechanics in ME
Reynolds number is significant in

simultaneous motion through two fluids where there is a surface of dis-continuity, gravity forces, and wave making effect, as with ship’s hulls
full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc
supersonics, as with projectile and jet propulsion
All of these

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