Physics – Condensed Matter – Materials Science
Scientific paper
2003-03-02
Physics
Condensed Matter
Materials Science
29 pages, 20 figures, to be published in Journal of Fluid Mechanics
Scientific paper
10.1017/S0022112003004555
In this paper we present an experimental study of the long surface wave instability that can develop when a granular material flows down a rough inclined plane. The threshold and the dispersion relation of the instability are precisely measured by imposing a controlled perturbation at the entrance of the flow and measuring its evolution along the slope. The results are compared with the prediction of a linear stability analysis conducted in the framework of the depth-averaged or Saint-Venant equations. We show that when the friction law proposed in Pouliquen (1999a) is introduced in the Saint-Venant equations, the theory is able to predict quantitatively the stability threshold and the phase velocity of the waves but fails in predicting the observed cutoff frequency. The instability is shown to be of the same nature as the long wave instability observed in classical fluids but with characteristics that can dramatically differ due to the specificity of the granular rheology.
Forterre Yoël
Pouliquen Olivier
No associations
LandOfFree
Long surface wave instability in dense granular flows 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 Long surface wave instability in dense granular flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long surface wave instability in dense granular flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-381311