Channel: 3Blue1Brown

Category: Education

Tags: mathematicsfluid flowvortex ring3 blue 1 brown3 brown 1 blue3b1bthree blue one brown3brown1blueturbulencethree brown one blue

Description: 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: 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: astronomy.ohio-state.edu/~ryden/ast825/ch7.pdf More details on vortex stretching: 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: 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