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Hydropower

Penstock Flow Velocity

V = Q / (\pi D^2 / 4)
Variables
V Flow velocity m/s
Q Discharge m³/s
D Penstock internal diameter m
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Engineering Example

A 5 m³/s flow in a 1.2 m diameter penstock: V = 5/(π×1.2²/4) ≈ 4.42 m/s.

Practical Site Example

Kept within a typical 3–6 m/s design range to balance head loss against penstock cost.