I know air circulation was a tricky problem on the ISS . I think that in a rotating station the air would be moving with the station, but the air against the “floor” would be moving faster or have greater force exerted on it than the air on the ceiling in the same way the force on your feet would be slightly more than on your head.
Wouldn’t this rotation naturally result in constant air circulation or at least movement, even if the station had walls separating it into multiple sections (each section would experience this same effect)?
Would it be enough of an effect to be able to meet health and comfort needs with an air circulation system no more complex than in an office building?
Note: I’m not referring to how the air conditioning would cool the air, replace oxygen, etc. Just how the circulation of air could happen.