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Time to Establish Flow in Pipeline

Time to Establish Flow in a Pipeline Formula and Calculator

t = L V f 2 g H ln ( V f + V V f − V )

where
L = pipe length, ft (m)
Vf = Final velocity, ft/s m/s)
V = Initial flow, ft/s (m/s), for V > 0
H = Head, ft (m)
g = gravity, ft/s2 (m/s2)

Source:

Schaum's Outline of Fluid Mechanics and Hydraulics

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