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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0307012 (nlin)
[Submitted on 7 Jul 2003 (v1), last revised 25 Feb 2004 (this version, v2)]

Title:Continuum description of finite-size particles advected by external flows. The effect of collisions

Authors:Cristobal Lopez, Andrea Puglisi
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Abstract: The equation of the density field of an assembly of macroscopic particles advected by a hydrodynamic flow is derived from the microscopic description of the system. This equation allows to recognize the role and the relative importance of the different microscopic processes implicit in the model: the driving of the external flow, the inertia of the particles, and the collisions among them.
The validity of the density description is confirmed by comparisons of numerical studies of the continuum equation with Direct Simulation Monte Carlo (DSMC) simulations of hard disks advected by a chaotic flow. We show that the collisions have two competing roles: a dispersing-like effect and a clustering effect (even for elastic collisions). An unexpected feature is also observed in the system: the presence of collisions can reverse the effect of inertia, so that grains with lower inertia are more clusterized.
Comments: Final (strongly modified) version accepted in PRE; 6 pages, 3 figures
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0307012 [nlin.CD]
  (or arXiv:nlin/0307012v2 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0307012
Journal reference: Phys. Rev. E 69, 046306 (2004)
Related DOI: https://doi.org/10.1103/PhysRevE.69.046306

Submission history

From: Cristobal Lopez [view email]
[v1] Mon, 7 Jul 2003 15:19:59 UTC (359 KB)
[v2] Wed, 25 Feb 2004 18:40:27 UTC (363 KB)
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