What a brilliant explanation !! I was searching for all scales and basics of turbulence finally found this amazing video !! Thank you! keep making such videos!
why does energy increase with decreasing size of eddies in integral region? In inertial range, the eddies split into smaller eddies therefore, the energy decreases. In the dissipation range, viscosity takes over, energy decreases faster with decreasing size of eddies. but i cant really understand the integral part?
Interesting observation. It's difficult to interpret very low wavenumbers. Remember that wavenumber is 1/L so as you approach zero wavenumber you approach infinite eddy size. There is likely to be a bit of a spread around the 'integral' scales, due to non-linear interactions between largest turbulent structures, and high degree of anisotropy. While most equilibrium turbulence involves cascade of energy from larger to smaller eddies, in certain circumstances it is possible for energy at smaller scales to larger scales. This so-called 'back transfer' can be seen for instance in rotating flows.
What a brilliant explanation !! I was searching for all scales and basics of turbulence finally found this amazing video !! Thank you! keep making such videos!
Thanks - glad you found it useful!
Thank you !
Thank you so much.
Thanks Alistair! Very Helpful!
Nice and clear. Thanks.
Thanks. what about the -5/3 power of transfer region?
why does energy increase with decreasing size of eddies in integral region?
In inertial range, the eddies split into smaller eddies therefore, the energy decreases. In the dissipation range, viscosity takes over, energy decreases faster with decreasing size of eddies. but i cant really understand the integral part?
Interesting observation. It's difficult to interpret very low wavenumbers. Remember that wavenumber is 1/L so as you approach zero wavenumber you approach infinite eddy size. There is likely to be a bit of a spread around the 'integral' scales, due to non-linear interactions between largest turbulent structures, and high degree of anisotropy.
While most equilibrium turbulence involves cascade of energy from larger to smaller eddies, in certain circumstances it is possible for energy at smaller scales to larger scales. This so-called 'back transfer' can be seen for instance in rotating flows.
@@mcji8ar2 Oh! Interesting. I was not aware of the back-transfer effect. Shall read about it. Thanks anyway!
Thank you!