Physics – Fluid Dynamics
Scientific paper
2011-01-30
Physics
Fluid Dynamics
4 pages, 4 figures. See http://guava.physics.uiuc.edu/projects/Turbulence/dp.html for associated videos
Scientific paper
We show that Directed Percolation (DP) simulations in a pipe geometry in 3+1 dimensions fully capture the observed complex phenomenology of the transition to turbulence. At low Reynolds numbers (Re), turbulent puffs form and spontaneously relaminarize. At high Re, turbulent slugs expand uniformly into the laminar regions. In a spatiotemporally intermittent state between these two regimes of Re, puffs split and turbulent regions exhibit laminar patches. DP also captures the main quantitative features of the transition, with a superexponentially diverging characteristic lifetime below the transition. Above the percolation threshold, active (turbulent) clusters expand into the inactive (laminar) phase with a well-defined velocity whose scaling with control parameter (Reynolds number or percolation probability) is consistent with experimental results. Our results provide strong evidence in favor of a conjecture of Pomeau.
Goldenfeld Nigel
Sipos Maksim
No associations
LandOfFree
Directed percolation describes lifetime and growth of turbulent puffs and slugs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Directed percolation describes lifetime and growth of turbulent puffs and slugs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directed percolation describes lifetime and growth of turbulent puffs and slugs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-646779