Would a Niven Ring in the Uranus atmosphere be stable?

For my science fiction universe, I need to mine a lot of deuterium and helium-3.

I have 10,000 intake fans each capable of 3,000 gigaliters an hour pushing atmosphere through 5 billion diffusers. This yields about 7 exagrams of deuterium and 2 exagrams of helium-3 a year. All the diffusers take up a lot of space, enough space that I could build a multilevel ring around Uranus. Obviously the ring would be in the atmosphere.

My question is, would the atmosphere make a Niven ring in this case, stable? You would have air friction and the atmosphere would increase in density as the ring gets closer to the center. I was also wondering what the radius of the ring would need to be to be stable, at what altitude or atmospheric density.

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Would a Niven Ring in the Uranus atmosphere be stable?

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