[Des formes et des contours : une dynamique de population pour les fronts agités]
Nous introduisons un cadre unifié pour discuter l'émergence de corrugations sur les interfaces matérielles transportées dans des milieux agités aléatoirement. En reliant la forme de ces interfaces au champ d'agitation qui la crée, nous formalisons une dynamique de bilan de population pour les r-éléments (segments de longueur r) nécessaires pour couvrir le contour de l'interface au cours de sa déformation. Tant que les corrugations croissent cinématiquement, les formes changent continuellement, leur dimension fractale
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
Mots-clés : Interfaces, Turbulence, Mélange, Croissance, Fractales
Emmanuel Villermaux 1, 2, 3
@article{CRPHYS_2018__19_5_306_0, author = {Emmanuel Villermaux}, title = {On shapes and forms: {Population} balance dynamics of corrugated stirred fronts}, journal = {Comptes Rendus. Physique}, pages = {306--315}, publisher = {Elsevier}, volume = {19}, number = {5}, year = {2018}, doi = {10.1016/j.crhy.2018.10.009}, language = {en}, }
Emmanuel Villermaux. On shapes and forms: Population balance dynamics of corrugated stirred fronts. Comptes Rendus. Physique, Prizes of the French Academy of Sciences 2017 / Prix 2017 de l'Académie des Sciences, Volume 19 (2018) no. 5, pp. 306-315. doi : 10.1016/j.crhy.2018.10.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2018.10.009/
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