Physics – Fluid Dynamics
Scientific paper
2008-08-11
Physics
Fluid Dynamics
4 pages, 3 figures
Scientific paper
We use momentum transfer arguments to predict the friction factor $f$ in two-dimensional turbulent soap-film flows with rough boundaries (an analogue of three-dimensional pipe flow) as a function of Reynolds number Re and roughness $r$, considering separately the inverse energy cascade and the forward enstrophy cascade. At intermediate Re, we predict a Blasius-like friction factor scaling of $f\propto\textrm{Re}^{-1/2}$ in flows dominated by the enstrophy cascade, distinct from the energy cascade scaling of $\textrm{Re}^{-1/4}$. For large Re, $f \sim r$ in the enstrophy-dominated case. We use conformal map techniques to perform direct numerical simulations that are in satisfactory agreement with theory, and exhibit data collapse scaling of roughness-induced criticality, previously shown to arise in the 3D pipe data of Nikuradse.
Goldenfeld Nigel
Guttenberg Nicholas
No associations
LandOfFree
The friction factor of two-dimensional rough-boundary turbulent soap film flows 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 The friction factor of two-dimensional rough-boundary turbulent soap film flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The friction factor of two-dimensional rough-boundary turbulent soap film flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-492675