no. 1-2
Mathematical Problems in Mechanics
Theoretical analysis for the deflection of granular jets
[Analyse théorique de la déflection de jets granulaires]

Présenté par : Philippe G. Ciarlet

Deng, Yu Hui1 ; Wylie, Jonathan J.1 ; Zhang, Qiang1
1 Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong
Comptes Rendus. Mathématique, Tome 348 (2010) no. 1-2, pp. 111-114.

On considere un jet granulaire dilué qui entre en collision avec un mur plan oblique. Les collisions entre particules ainsi que les collisions mur-particules sont inélastiques. Nous obtenons une solution exacte pour la force moyenne supportée par le mur pour les jets dilués. Nous montrons que la force moyenne peut être une fonction non monotone de l'angle entre la paroi et le jet du fait de la diffusion des particules qui, après avoir rebondi sur le mur, s'entrechoquent avec les particules entrantes.

We consider a dilute granular jet colliding with an oblique planar wall. Collisions between particles and collisions between particles and the wall are inelastic. We derive an exact solution for the mean force experienced by the wall for dilute jets. We show that the mean force on the wall can be a non-monotonic function of the angle between the wall and the jet. This occurs because particles that rebound from the wall can collide with incoming particles and be scattered.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.11.008
Deng, Yu Hui 1 ; Wylie, Jonathan J. 1 ; Zhang, Qiang 1

1 Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong 
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Deng, Yu Hui; Wylie, Jonathan J.; Zhang, Qiang. Theoretical analysis for the deflection of granular jets. Comptes Rendus. Mathématique, Tome 348 (2010) no. 1-2, pp. 111-114. doi : 10.1016/j.crma.2009.11.008. http://www.numdam.org/articles/10.1016/j.crma.2009.11.008/

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[5] Wylie, J.; Zhang, Q.; Xu, H.Y.; Sun, X.X. Drag-induced particle segregation with vibrating boundaries, Europhysics Letters, Volume 81 (2008), p. 54001

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