One could do all those things wihout having any knowledge of math, let alone a particular equation. How far do you get in fluid dynamics without knowing math?
Does a kid who notices the straw looks bent in the water but not in the air have a "good idea" of light refraction? Or when the fire truck roars past it dounds different. Is that a good idea of Doppler Effect?
There are two things going on: the experience of the phenemona, which anyone can have and relate, and the reason the phenomena is happening, which takes a bit of study.
The "conciousness is just a neural description" misses the first part. Conscious experience, first and foremost, is a description of how we feel. It's only recently that we've started to correlate certain brain states to conscious states.
In fact, this is probably true of all disciplines: fluid dynamics is not JUST a descirption of molecules in an air or liquid. It has to take into account our subjective experience of things like turbulence, waves, etc. First, there is the experience of the phenomena, and then an attempt to explain it.