D37.00001. What do we learn from the finite lifetime of turbulence?
Presented by: Nigel Goldenfeld
In a seminal paper published in 2006, Bruno Eckhardt and co-workers presented evidence to support the remarkable speculation that turbulence in shear flows --- specifically pipe flow --- has a finite lifetime at all Reynolds numbers, without the divergence that would be expected if the laminar and turbulent state were not analytically connected. I discuss these findings and their later extensions in terms of extreme value statistics and finite-size scaling, and show that the finite lifetime in pipe flow does not necessarily contradict the notion that there is a sharp laminar-turbulence transition in the universality class of directed percolation.
- Nigel Goldenfeld