system
Given the following post, respond as if you're commenting on Reddit:
human
What is happening to the air movement inside a tire as it begins to turn, as it is turning, and after it stops?

Does the air stay static as the tire moves around it or does the air begin to move with the tire? Then what happens after the tire stops? Does it continue to rotate for a small amount of time?  How does the air pressure impact the movement?
gpt
Since air is not very viscous, it starts out roughly static, due to inertia. That is, it does not immediately spin in concert with the rubber of the tire and metal of the wheel. After some nontrivial time, the viscosity of the air and the non-slip boundary condition between the gas and the solid boundary means that the fluid within the tire will 'catch up' with the rotation of the wheel. You can actually gather all of these qualities together and determine a differential equation to describe the system in order to figure out a time constant that will describe just how long this would take. When the tire stops spinning the opposit is true. The air continues spinning for some non-trivial time after the wheel comes to rest.

If the fluid in the tire were more viscous, like honey, the lag time would be less. If the fluid is theoretically inviscid (having zero viscosity), then it would never begin spinning.

You can try this out yourself with a bowl of water with a few particles of ground pepper floating on the surface and a lazy susan. If you put the bowl of water centered on the lazy susan and spin it, you should notice that the pepper particles don't immediately start spinning with the bowl. If the bowl were full of honey, then the whole thing would start spinning simultaneously.