Fluid dynamics problem: Equalize the volume of water in tanks at differing heights

Thread starter Hankelec
Start date Jul 29, 2023

AI Thread Summary

The discussion centers on optimizing the filling rates of two bladder-type pressure tanks in a reverse osmosis water system, one positioned at floor level and the other five feet above. The challenge lies in ensuring both tanks fill at approximately equal rates despite the height difference, which introduces a pressure differential that could affect flow. Participants debate the impact of this height difference on pressure and flow rates, with some asserting that as long as the tanks are pressurized similarly, water will flow to maintain equilibrium. The conversation also touches on the need for potential adjustments, such as using floats and differential pressure gauges, to balance the filling process and avoid significant discrepancies in water volume between the tanks. Ultimately, the goal is to achieve a reliable method for equalizing water levels in the tanks while accommodating the inherent pressure dynamics.

Aug 29, 2023

erobz

Gold Member

Juanda said:

To set up the initial conditions ##(t=0)## I'd prefer to start the system from an equilibrium point. I feel like it's not necessary but I think it's convenient because it's more realistic and the oscillatory nature of the result will be suppressed (or so I think).

I think starting from a state of non-equilibrium would pose some issues. The initial conditions would be no longer be ##Q_1, Q_2,Q = 0 ## nor would the initial flow accelerations be ## \dot Q_1, \dot Q_2 = 0 ##