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Keep in mind the 16000 psi just makes the air as dense as RimGuard so that there is no longer any difference in density, and the two fluids can mingle without buoyancy effects. But they still flow as fluids, and the tire/wheel still rotates around the fluids, stirring them up. The fluid in contact with the inner surfaces of the tire/wheel will move at the same speed as the wheel, but elsewhere in the volume it's going to be somewhere between that speed and zero. Due to friction in the fluids, there will always be some loss of speed as you get away from moving surfaces. In a big enough tire, the fluid in the centers could still be almost stationary.
It would be cool to build a plexiglass test rig that could simulate the interior volume of a tire, to see how fluid behaves under rotation with that air pocket at the top. I may pitch that idea to the next intern I get.... They are suckers for lab projects like that. And in case you think I am nuts, here's what flow looks like inside the annular space between two counter-rotating cylinders in a certain speed range:
Taylor Couette Flows - YouTube
Interesting things happen when you start rotating fluids inside confined spaces.
Now we may know why Jupiter looks like it does. The crush of its gravity along with the heat of its gasses might be causing this annular containment of its gaseous atmoshere. You add the spin to the planet and it sorta looks like the container