2024-03-29T01:18:16Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/158272020-04-25T13:09:20Zcom_10261_91com_10261_8com_10261_2855com_10261_4com_10261_132col_10261_344col_10261_2857col_10261_385
Noise- and inertia-induced inhomogeneity in the distribution of small particles in fluid flows
Cartwright, Julyan H. E.
Magnasco, Marcelo O.
Piro, Oreste
Chaos
White noise
Nonlinear dynamical systems
Fluctuations
Vortices
Flow separation
[PACS] Fluid dynamics: Chaos
[PACS] Control of chaos, applications of chaos
[PACS] Vortex dynamics
[PACS] Noise
[PACS] Rotational flow and vorticity: Separated flows
7 pages, 3 figures.-- PMID: 12779579 [PubMed].-- Printed version published Jun 2002.
ArXiv pre-print available at: http://arxiv.org/abs/nlin/0111008
The dynamics of small spherical neutrally buoyant particulate impurities immersed in a two-dimensional fluid flow are known to lead to particle accumulation in the regions of the flow in which vorticity dominates over strain, provided that the Stokes number of the particles is sufficiently small. If the flow is viewed as a Hamiltonian dynamical system, it can be seen that the accumulations occur in the nonchaotic parts of the phase space: the Kolmogorov–Arnold–Moser tori. This has suggested a generalization of these dynamics to Hamiltonian maps, dubbed a bailout embedding. In this paper we use a bailout embedding of the standard map to mimic the dynamics of neutrally buoyant impurities subject not only to drag but also to fluctuating forces modeled as white noise. We find that the generation of inhomogeneities associated with the separation of particle from fluid trajectories is enhanced by the presence of noise, so that they appear in much broader ranges of the Stokes number than those allowing spontaneous separation.
J.H.E.C. acknowledges the financial support of the Spanish CSIC, Plan Nacional del Espacio Contract No. ESP98-1347. M.O.M. acknowledges the support of the Meyer Foundation. O.P. acknowledges the Spanish Ministerio de Ciencia y Tecnologia,
Proyecto CONOCE, Contract No. BFM2000-1108.
Peer reviewed
2009-08-07T10:26:32Z
2009-08-07T10:26:32Z
2002-05-20
artículo
http://purl.org/coar/resource_type/c_6501
Chaos 12(2): 489-495 (2002)
1054-1500
http://hdl.handle.net/10261/15827
10.1063/1.1480441
en
http://dx.doi.org/10.1063/1.1480441
open
226994 bytes
application/pdf
American Institute of Physics