Why 5/3 is a fundamental constant for turbulence

Some mathematical order amidst the chaos of turbulence. Vortex rings with Physics Girl: Help fund future projects: An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: Home page: 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 turb