Mixing is an aggregation process

Emmanuel Villermaux; Jérôme Duplat

doi:10.1016/S1631-0721(03)00110-4

Mixing is an aggregation process

Presented by: Paul Clavin

Emmanuel Villermaux ¹; Jérôme Duplat ²

¹ Université de Provence & institut universitaire de France, IRPHE, 13384 Marseille cedex 13, France
² Université de Provence, IUSTI, 13453 Marseille cedex 13, France

Comptes Rendus. Mécanique, Volume 331 (2003) no. 7, pp. 515-523.

Abstract (Original language)
Résumé

With the aid of several demonstration experiments, it is shown how a stirred scalar mixture relaxes towards uniformity through an aggregation process. The elementary bricks are stretched sheets whose rates of diffusive smoothing and coalescence build up the overall mixture concentration distribution. The cases studied, in particular, include mixtures in two and three dimensions, with different stirring protocols, which all lead to a family of concentration distributions stable by self-convolution.

Des expériences démonstratives suggèrent qu'un mélange scalaire agité relaxe vers l'uniformité à travers un processus d'agrégation. Les briques élémentaires sont des feuillets étirés qui se diluent dans le milieu en même temps qu'ils s'agrègent, construisant par là l'ensemble de la distribution de concentration de la mixture. Les cas considérés en particulier sont des mélanges en deux et trois dimensions, agités par des protocles très différents et qui pourtant donnent naissance aux mêmes distributions de concentration, stables par auto-convolution.

Received: 2003-02-24
Accepted: 2003-04-08
Published online: 2003-07-01

DOI: 10.1016/S1631-0721(03)00110-4

Keywords: Turbulence, Mixing, Stirring, Diffusion, Aggregation
Mots-clés : Turbulence, Mélange, Agitation, Diffusion, Agrégation

Author's affiliations:

Emmanuel Villermaux ¹; Jérôme Duplat ²

¹ Université de Provence & institut universitaire de France, IRPHE, 13384 Marseille cedex 13, France
² Université de Provence, IUSTI, 13453 Marseille cedex 13, France

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Emmanuel Villermaux; Jérôme Duplat. Mixing is an aggregation process. Comptes Rendus. Mécanique, Volume 331 (2003) no. 7, pp. 515-523. doi : 10.1016/S1631-0721(03)00110-4. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00110-4/

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