Why does the water from the faucet that hasn't been turned off completely drip intermittently?

This article explains the principle of discontinuous dripping from a leaky faucet, namely, the surface tension of the liquid will hold the water leaking from the faucet, and the water will only fall when it accumulates to a level that the surface tension can no longer support. Therefore, the dripping water is discontinuous. It also points out that this phenomenon only exists in environments with gravity, and lists similar water accumulation and release phenomena such as water discharge from public toilet tanks.

Why does the water from the faucet that hasn't been turned off completely drip intermittently?

You must have observed this phenomenon before: sometimes, if the faucet isn't closed tightly, the water will drip drop by drop instead of flowing continuously. Why is this? It turns out that the molecules on the surface layer of a liquid are more sparsely distributed than those in the interior, and the force between the molecules mainly manifests as attraction, making the surface of the liquid always in a self-tightened state, as if wrapped in a flexible membrane. This kind of attraction is called "surface tension". When water slowly seeps out of a faucet that isn't closed tightly, the surface tension makes the water surface tighten, forming a "pocket" that holds the water and prevents it from falling. Only when the seeping water accumulates to a point where the surface tension can't hold it anymore will it fall from the faucet. Then, the water seeping out of the faucet will re-accumulate, forming new water droplets. It can be seen that this non-continuous dripping process consists of two stages: slow accumulation and rapid falling. It is precisely because of the existence of surface tension that the leaked water doesn't flow continuously in a straight line.

Similar phenomena of water accumulation and release are not uncommon in daily life and nature. For example, in some public toilets, when the water tank is full, the valve automatically opens to discharge the water. The process of water accumulation and release is almost identical to the dripping process of the faucet, except that the scale is different.

However, the above phenomenon only occurs on Earth, that is, in the presence of gravity. If it were in the weightless space, such as when Chinese astronauts used water bags on the "Tiangong-1", the surface tension would make the squeezed-out water accumulate into water droplets or even water balls.