GP Vaguely proud of myself today that I knew that pipe diameter increase increases flow in (I hope I say this mathematically correctly) a non-linear, more-geometric fashion. Basically, doubling the pipe diameter waaaaaaay more than doubles the potential volume throughput.
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Well sure, this isn't like physics class where we can say "Assume the coefficient of friction is zero"
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to a good approximation, two adjacent molecules can't move at different speeds. So if the tube wall is not moving, the water molecules up tight against it can only move very slowly. The molecules up against those (slightly closer to center) move a bit faster, but not much >>>
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