Shocks in vertically oscillated granular layers
- 5 November 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 66 (5), 051301
- https://doi.org/10.1103/physreve.66.051301
Abstract
We study shock formation in vertically oscillated granular layers, using both molecular dynamics simulations and numerical solutions of continuum equations to Navier-Stokes order. A flat layer of grains is thrown up from an oscillating plate during each oscillation cycle and collides with the plate later in the cycle. The collisions produce layer compaction near the plate and a high temperature shock front that rapidly propagates upward through the layer. The shock is highly time dependent, propagating through the layer in only a quarter of the cycle. We compare numerical solutions of the continuum equations to molecular dynamics simulations that assume binary, instantaneous collisions between frictionless, inelastic hard spheres. The two simulations yield results for the shock position, shape, and speed that agree well. An investigation of the effect of inelasticity shows that the shock velocity increases continuously with decreasing inelasticity; the elastic limit is not singular.Keywords
Other Versions
This publication has 18 references indexed in Scilit:
- Shocks in Supersonic SandPhysical Review Letters, 2001
- Evolution of a shock wave in a granular gasPhysics of Fluids, 2000
- Built upon sand: Theoretical ideas inspired by granular flowsReviews of Modern Physics, 1999
- Propagation of Elastic Waves in Deep Vertically Shaken Particle BedsPhysical Review Letters, 1996
- Mechanics of collisional motion of granular materials. Part 3. Self-similar shock wave propagationJournal of Fluid Mechanics, 1996
- Mechanics of collisional motion of granular materials. Part 2. Wave propagation through vibrofluidized granular layersJournal of Fluid Mechanics, 1995
- Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equationsJournal of Fluid Mechanics, 1995
- Grad's 13-moment system for a dense gas of inelastic spheresArchive for Rational Mechanics and Analysis, 1985
- Grain flow as a fluid-mechanical phenomenonJournal of Fluid Mechanics, 1983
- A theory for the rapid flow of identical, smooth, nearly elastic, spherical particlesJournal of Fluid Mechanics, 1983