Math. Model. Nat. Phenom.
Volume 6, Number 4, 2011Granular hydrodynamics
|Page(s)||77 - 86|
|Published online||18 July 2011|
Dense Granular Poiseuille Flow
Department of Physics, Oakland University,
⋆ Corresponding author. E-mail: email@example.com
We consider a dense granular shear flow in a two-dimensional system. Granular systems (composed of a large number of macroscopic particles) are far from equilibrium due to inelastic collisions between particles: an external driving is needed to maintain the motion of particles. Theoretical description of driven granular media is especially challenging for dense granular flows. This paper focuses on a gravity-driven dense granular Poiseuille flow in a channel. A special focus here is on the intriguing phenomenon of fluid-solid coexistence: a solid plug in the center of the system, surrounded by fluid layers. To find and analyze various flow regimes, a multi-scale approach is taken. On macro scale, granular hydrodynamics is employed. On micro scale, event-driven molecular dynamics simulations are performed. The entire phase diagram of parameters is explored, in order to determine which flow regime occurs in various regions in the parameter space.
Mathematics Subject Classification: 76T25 / 76F10 / 76E99
Key words: granular matter / poiseuille flow / shear flow / md simulations / two-phase flow
© EDP Sciences, 2011
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