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A map for heavy inertial particles in fluid flows

By Rafael D. Vilela and Vitor M. de Oliveira

Abstract

We introduce a map which reproduces qualitatively many fundamental properties of the dynamics of heavy particles in fluid flows. These include a uniform rate of decrease of volume in phase space, a slow-manifold effective dynamics when the single parameter s (analogous of the Stokes number) approaches zero, the possibility of fold caustics in the “velocity field”, and a minimum, as a function of s, of the Lyapunov (Kaplan-Yorke) dimension of the attractor where particles accumulate

Publisher: 'Springer Science and Business Media LLC'
Year: 2017
DOI identifier: 10.1140/epjst/e2017-70035-3
OAI identifier: oai:edpsciences.org:dkey/10.1140/epjst/e2017-70035-3
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