Comptes Rendus
no. 8
Mathematical problems in mechanics
Dynamic behavior of convergent rapid granular flows

Presented by: Philippe G. Ciarlet

Wenxuan Guo1; Qiang Zhang1; Jonathan J. Wylie1
1 Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong
Comptes Rendus. Mathématique, Volume 354 (2016) no. 8, pp. 864-868.

We consider a dilute flow of granular particles passing through a nozzle under gravity. This setting is an analogue to high-speed nozzle flows, which is a classical problem in the study of compressible gases. Contrary to the widely held belief that the behavior of very dilute granular systems is qualitatively similar to that of gases, we show that dilute granular systems can exhibit a type of intermittency that has no analogue in gas dynamics.

Nous considérons un flux dilué de particules granulaires passant par un tube d'injection sous l'action de la gravité. Ce problème est similaire à celui d'un écoulement de flux à grande vitesse, ce qui constitue un problème classique dans l'étude des gaz compressibles. Contrairement à l'idée très répandue que le comportement des systèmes granulaires très dilué est qualitativement semblable à celui des gaz, nous montrons que les systèmes dilués granulaires peuvent présenter un type d'intermittences qui n'a pas d'analogue dans la dynamique des gaz.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.05.009

Wenxuan Guo 1; Qiang Zhang 1; Jonathan J. Wylie 1

1 Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong 
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Wenxuan Guo; Qiang Zhang; Jonathan J. Wylie. Dynamic behavior of convergent rapid granular flows. Comptes Rendus. Mathématique, Volume 354 (2016) no. 8, pp. 864-868. doi : 10.1016/j.crma.2016.05.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.05.009/

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