Bernoulli equation: draining of a tank with holes¶
The water level in the tank adapts until the discharge flowing out of the holes equals the inflowing discharge because of mass conservation. At this stage a steady regime is reached.
Equations:
- Water depth $h$ - What is the equilibrium depth $h$ of the water in the tank, for given values $Q_{in}$, $n_{holes}$, $d_{holes}$.
- Maximum discharge $Q_{in}$ - What is the maximum discharge that the tank of depth $D$ with given values $n_{holes}$ and $d_{holes}$ can evacuate.
- Number $n$ and diameter $d$ of holes - What is the minimum number and diameter of the holes required to evacuate a given discharge $Q_{in}$ in a tank of depth $D$.