[Physics] Equilibrium between two water tanks

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I've been reading about hydrostatic theory, however I couldn't find a similar case/exercise about my basic problem.

I have two water tanks (same size) filled with different water heights, and connected themselves with a little pipe at the bottom of each.

How could I calculate the time to reach equilibrium?

Best Answer

Maybe you could consider that the size of the bottom pipe is much smaller than the size of the tanks, so that the water height will change very slowly and you can apply Bernoulli's principle at both ends of the connecting pipe using the hydrostatic pressure, that will give you the speed of the flow and then you could use the continuity equation, but the problem is that you need to know the ratio of the pipe size to the tank size. Maybe theres another way to do it but i can't figure it right now.

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