Straylight0 wrote:...the air inside a station would probably wind up rotating along with the station...
The air certainly won't be still, relative to a fixed point within the station (say, our docker). Even if you don't account for turbulence from passing ships or thrusters, it would have to be a totally empty cylinder with a frictionless internal coating for there to be no air movement relative to an external observer.
You'll get air movement, but it will depend on your frame of reference. If you're standing on the deck, the air movement at any given point in the station will be different to the air movement observed by a pilot on the station's rotational axis, rolling in unison with the station.
I think it would be like the patterns from stirring a mug of tea. The fastest rotation of the liquid is near the ceramic surface. Where the liquid touches the suface, you have turbulence because the friction from the mug tries to negate the movement. At the centre line of the cup you have least rotational movement resulting in a whirlpool effect.