Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-08-30
Physics
Condensed Matter
Soft Condensed Matter
27 pages, 13 figures, submitted to J. Fluid. Mech
Scientific paper
10.1017/S0022112002001581
In a recent article (Forterre, PRL, 2001), we have reported a new instability observed in rapid granular flows down inclined planes that leads to the spontaneous formation of longitudinal vortices. From the experimental observations, we have proposed an instability mechanism based on the coupling between the flow and the granular temperature in rapid granular flows. In order to investigate the relevance of the proposed mechanism, we perform in the present paper a three-dimensional linear stability analysis of steady uniform flows down inclined planes using the kinetic theory of granular flows. We show that in a wide range of parameters, steady uniform flows are unstable under transverse perturbations. The structure of the unstable modes are in qualitative agreement with the experimental observations. This theoretical analysis shows that the kinetic theory is able to capture the formation of longitudinal vortices and validates the instability mechanism.
Forterre Yoël
Pouliquen Olivier
No associations
LandOfFree
Stability Analysis of Rapid Granular Chute Flows: Formation of Longitudinal Vortices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability Analysis of Rapid Granular Chute Flows: Formation of Longitudinal Vortices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability Analysis of Rapid Granular Chute Flows: Formation of Longitudinal Vortices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-481628