Why 5/3 is a fundamental constant for turbulence скачать в хорошем качестве

Why 5/3 is a fundamental constant for turbulence

Some mathematical order amidst the chaos of turbulence. Vortex rings with Physics Girl:    • How to Make a SQUARE Vortex Ring! ft. 3blu...   Help fund future projects:   / 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: https://www.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/~... More details on vortex stretching: https://www.math.nyu.edu/faculty/taba... Video on NightHawkInLight with a similar demo:    • How To See Invisible Air Currents With Las...   Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/a... ------------------ 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: https://www.3blue1brown.com Twitter:   / 3blue1brown   Reddit:   / 3blue1brown   Instagram:   / 3blue1brown_animations   Patreon:   / 3blue1brown   Facebook:   / 3blue1brown