I still don't really get turbulence. I know it can be quantified with average velocities, but why does it happen? While we may not have all the answers, the below video narrated by Robert W. Stewart, of the University of British Columbia, does a great job of explaining this perceived randomness. Stewart smokes his pipe, and lets us know that Turbulent flow is not necessarily random as we think.
But the part that I found cool was that if a funnel was put in at the entrance, the flow was laminar for a greater Reynolds number (around 8000). The video says that the funnel makes the flow smoother and less mixing happens, making more laminar flow. Thus, once again, turbulent flow is not random, and the number 2000 is not random either; it applies to specific geometries. Further, as Stewart says, random implies some sort of Gaussian distribution, which is not the case with turbulent flow. So the idea of randomness is not accurate--its more like we don't know.
The last cool part of this video is the dye illustration part, and how basically turbulent flow makes a blob bend and thin until it has enough of a surface area increase to go through molecular diffusion very fast. This mixing would really make sense for chemical reactions that require mixing in order to go to completion. As a chemical engineering major, this makes a lot of sense to me.
The video really helped clear up my concepts about turbulence, so definitely give it a watch! While I cannot promise the lips will be synced to the dubbing in the video, Stewart does an excellent job defining turbulence as best as possible (50 years ago).
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