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Iconic Diagrams\Hydraulics\Components

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Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Hydraulics).

Description

When a fluid flow changes speed, a force is needed to accelerate the fluid. This force is equal to the acceleration multiplied by the mass of the fluid.

F = m * dv/dt

The fluid mass is equal to the pipe area multiplied by the pipe length and the fluid density:

m = A * l * rho

The force will result in a pressure differential:

F = A * dp = A * (pa.p - pb.p)

We can rewrite the formulas as

dp = rho * l * dv/dt

and by introducing the fluid flow phi:

v = phi/A

we get the formula for an hydraulic inertia:

dp = (rho * l / A) * d phi/dt

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