Instabilities in the homogeneous cooling of a granular gas: A quantitative assessment of kinetic-theory predictions

Autor:	Christine M. Hrenya, Steven R. Dahl, Peter P. Mitrano, Michael S. Pacella, Daniel J. Cromer
Rok vydání:	2011
Předmět:	Fluid Flow and Transfer Processes Physics Length scale Work (thermodynamics) Mechanical Engineering Computational Mechanics Thermodynamics Mechanics Hard spheres Parameter space Condensed Matter Physics Vortex Molecular dynamics Mechanics of Materials Pairing Dimensionless quantity
Zdroj:	Physics of Fluids. 23:093303
ISSN:	1089-7666 1070-6631
DOI:	10.1063/1.3633012
Popis:	Previous work has indicated that inelastic grains undergoing homogeneous cooling may be unstable, giving rise to the formation of velocity vortices, which may also lead to particle clustering. In this effort, molecular dynamics (MD) simulations are performed over a wide parameter space to determine the critical system size demarcating the stable and unstable regions. Specifically, a system of monodisperse, frictionless, inelastic hard spheres is simulated for restitution coefficients e ≥ 0.6 and solids fractions φ ≤ 0.4. Simulations for each e, φ pairing are then carried out over a range of system sizes to determine the critical dimensionless length scale LC/d (L is the system length and d is the particle diameter), above which velocity vortices appear (unstable system) and below which they are suppressed (stable system). The results show excellent agreement with the theoretical predictions obtained by Garzo [Phys. Rev. E 72, 021106 (2005)] using a linear stability analysis of kinetic-theory-based (contin...
Databáze:	OpenAIRE
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