Draining time of a uniform tank through a siphon (source code)

= 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
$$
t=\sqrt{2}\left(\frac{A^2}{a^2}-1\right)^{1/2}
\frac{\sqrt{H+h_0}-\sqrt H}{\sqrt g}
$$
for the free surface to reach the inlet.