Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session Q29: Turbulent Mixing II
12:50 PM–3:13 PM,
Tuesday, November 20, 2018
Georgia World Congress Center
Room: B401
Chair: Emmanuel Villermaux, Aix-Marseille University
Abstract ID: BAPS.2018.DFD.Q29.5
Abstract: Q29.00005 : On Shapes and Forms: Population balance dynamics of corrugated stirred fronts
1:42 PM–1:55 PM
Presenter:
Emmanuel Villermaux
(Aix-Marseille University)
Author:
Emmanuel Villermaux
(Aix-Marseille University)
We introduce a unified framework to discuss the emergence of corrugations on material interfaces transported by random media. Relating the shape of these interfaces to the stirring field giving birth to it, we formalize a population balance dynamics for the $r-$elements (segments of length $r$) needed to cover the interface contour in the course of its deformation. As long as corrugations grow kinematically, shapes change continuously, their fractal dimension $d_f(r,t)$ is a non-monotonous function of the scale $r$, and increases in time $t$ with no bounds. Interface creation and destruction balance however in self-propagating fronts like flames, and in fronts smearing by molecular diffusion, through a mixing induced overlap mechanism, leading to a stationary shape. These findings, which help reexamining old observations in a new perspective, also reconcile kinetics with geometry.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.Q29.5
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