3blue1brown
@3blue1brown·8.4M subscribers·240 videos
Why 5/3 is a fundamental constant for turbulence
Posted
November 7, 2018
Views
786,419
Likes
27,709
Comments
883
Engagement
3.64%
November 7, 2018
786,419
27,709
883
3.64%
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11:28Now PlayingSome mathematical order amidst the chaos of turbulence.
Vortex rings with Physics Girl
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Thanks to Dan Walsh for many great ideas, and thanks to Mike Hansen for many helpful conversations.
Error correction: I meant to describe Kolmogorov as a “20th-century mathematician” not “19th-century”. Whoops! I think during the narration I must have made the classic 1900s vs. 19th-century mix up. Anyone aware of his work is more than aware of what century he lived in, which apparently applies to quite a few commenters.
And while we're here, the animation at 9:55 misleadingly has the vortex kind of speed up during the transition, which it should not do. Really, the velocity scales of eddies decrease for lower length scales.
Introduction to turbulence:
More details on vortex stretching:
Video on NightHawkInLight with a similar demo:
Music by Vincent Rubinetti:
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