English

New boundary conditions for granular fluids

Soft Condensed Matter 2007-05-23 v1

Abstract

We present experimental evidence, which contradicts the the standard boundary conditions used in continuum theories of non-cohesive granular flows for the velocity normal to a boundary u.n=0, where n points into the fluid. We propose and experimentally verify a new boundary condition for u.n, based on the observation that the boundary cannot exert a tension force Fb on the fluid. The new boundary condition is u.n=0 if Fb.n>=0 else n.P.n=0, where P is the pressure tensor. This is the analog of cavitation in ordinary fluids, but due the lack of attractive forces and dissipation it occurs frequently in granular flows.

Keywords

Cite

@article{arxiv.cond-mat/0703575,
  title  = {New boundary conditions for granular fluids},
  author = {Mark D. Shattuck},
  journal= {arXiv preprint arXiv:cond-mat/0703575},
  year   = {2007}
}

Comments

6 pages, 5 figures, submitted to PRE

R2 v1 2026-07-22T11:44:48.193Z