Influence of the history force on inertial particle advection: Gravitational effects and horizontal diffusion

Abstract

We analyze the effect of the Basset history force on the sedimentation or rising of inertial particles in a two-dimensional convection flow. When memory effects are neglected, the system exhibits rich dynamics, including periodic, quasiperiodic, and chaotic attractors. Here we show that when the full advection dynamics is considered, including the history force, both the nature and the number of attractors change, and a fractalization of their basins of attraction appears. In particular, we show that the history force significantly weakens the horizontal diffusion and changes the speed of sedimentation or rising. The influence of the history force is dependent on the size of the advected particles, being stronger for larger particles.

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Received 18 July 2013

DOI:http://dx.doi.org/10.1103/PhysRevE.88.042909

Authors & Affiliations

Ksenia Guseva^1,*, Ulrike Feudel^1,2,†, and Tamás Tél^3,‡

¹Theoretical Physics/Complex Systems, ICBM, University of Oldenburg, 26129 Oldenburg, Germany
²Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742-2431, USA
³Institute for Theoretical Physics-HAS Research Group, Eötvös University, P.O. Box 32, H-1518 Budapest, Hungary

^*ksenia.guseva@uni-oldenburg.de
^†ulrike.feudel@uni-oldenburg.de
^‡tel@general.elte.hu

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics