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Draining time of a uniform tank through a siphon

If a tank and siphon tube have areas

A

and

a

, the tube outlet is

H

below an inlet initially submerged by

h_{0}

, and both free boundaries are at atmospheric pressure, continuity and Bernoulli's equation give

t = 2 (\frac{A ^{2}}{a ^{2}} - 1)^{1/2} \frac{H + h _{0} - H}{g}

for the free surface to reach the inlet.

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