Shock Propagation in Granular Flow Subjected to an External Impact

Details Shock Propagation in Granular Flow Subjected to an External Impact Shock Propagation in Granular Flow Subjected to an External Impact

2012-02-02

arxiv.org/abs/1202.0413v1

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 8 figures

Scientific paper

We analyze a recent experiment [Phys. Rev. Lett., {\bf103}, 224501 (2009)] in which the shock, created by the impact of a steel ball on a flowing monolayer of glass beads, is quantitatively studied. We argue that radial momentum is conserved in the process, and hence show that in two dimensions the shock radius increases in time $t$ as a power law $t^{1/3}$. This is confirmed in event driven simulations of an inelastic hard sphere system. The experimental data are compared with the theoretical prediction, and is shown to compare well at intermediate times. At late times, the experimental data exhibit a crossover to a different scaling behavior. We attribute this to the problem becoming effectively three dimensional due to accumulation of particles at the shock front, and propose a simple hard sphere model which incorporates this effect. Simulations of this model capture the crossover seen in the experimental data.

Affiliated with

Also associated with

No associations

Rating

Shock Propagation in Granular Flow Subjected to an External Impact 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 Shock Propagation in Granular Flow Subjected to an External Impact, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shock Propagation in Granular Flow Subjected to an External Impact will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187507