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.
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