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

Abstract

We analyse 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, quasi-periodic 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.

13 pages, 16 figures

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Cited by in corpus (12)

• On the role of the history force for inertial particles in turbulence
• The effect of the Basset history force on particle clustering in Homogeneous and Isotropic Turbulence
• Modeling the dynamical sinking of biogenic particles in oceanic flow
• Memory effects in chaotic advection of inertial particles
• History effects in the sedimentation of light aerosols in turbulence: the case of marine snow
• Hydrodynamic memory can boost enormously driven nonlinear diffusion and transport
• Inhomogeneities and caustics in the sedimentation of noninertial particles in incompressible flows
• Critical Stokes number for the capture of inertial particles by recirculation cells in 2D quasi-steady flows
• Trapping and extreme clustering of finitely-dense inertial particles near a rotating vortex pair
• Dynamics of impurities in a three-dimensional volume-preserving map
• A map for heavy inertial particles in fluid flows
• Relevance of the Basset history term for Lagrangian particle dynamics