3Blue1Brown | Why 5/3 is a fundamental constant for turbulence @3blue1brown | Uploaded 5 years ago | Updated 3 hours ago
Some mathematical order amidst the chaos of turbulence.
Vortex rings with Physics Girl: youtu.be/N7d_RWyOv20
Help fund future projects: patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/turbulence-thanks
Home page: 3blue1brown.com
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:
http://www.astronomy.ohio-state.edu/~ryden/ast825/ch7.pdf
More details on vortex stretching:
https://www.math.nyu.edu/faculty/tabak/vorticity.pdf
Video on NightHawkInLight with a similar demo:
youtu.be/K94Cc21KEIA
Music by Vincent Rubinetti:
vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: 3blue1brown.com
Twitter: twitter.com/3blue1brown
Reddit: reddit.com/r/3blue1brown
Instagram: instagram.com/3blue1brown_animations
Patreon: patreon.com/3blue1brown
Facebook: facebook.com/3blue1brown
Some mathematical order amidst the chaos of turbulence.
Vortex rings with Physics Girl: youtu.be/N7d_RWyOv20
Help fund future projects: patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/turbulence-thanks
Home page: 3blue1brown.com
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:
http://www.astronomy.ohio-state.edu/~ryden/ast825/ch7.pdf
More details on vortex stretching:
https://www.math.nyu.edu/faculty/tabak/vorticity.pdf
Video on NightHawkInLight with a similar demo:
youtu.be/K94Cc21KEIA
Music by Vincent Rubinetti:
vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: 3blue1brown.com
Twitter: twitter.com/3blue1brown
Reddit: reddit.com/r/3blue1brown
Instagram: instagram.com/3blue1brown_animations
Patreon: patreon.com/3blue1brown
Facebook: facebook.com/3blue1brown
