Motivated by this question, I am thinking about describing a rain drop beyond the elementary physics. The principal improvement, it seems, would be accounting for the drag force dependence on the size and shape of the drop, which in turn depends on
- the pressure (i.e., the hight above the ground)
- the presence of wind
- the speed of the drop
- the dust particles that it might have absorbed while falling
and other factors.
I am wondering what is really essential and what is not... and whether there are established models of rain drops - this seems like a ubiquituous object, appearing not only in meteorology, but in many industrial applications.
- E.g., one effect related to the speed of the drop would be whether we use linear or quadratic drag term - see Explanation that air drag is proportional to speed or square speed? (also relevant: terminal velocity, drag equation, Stoke's law - mentioned in the comments by @J.G.).