Abstract
We study the effects of finite-sizeness on small, neutrally buoyant, spherical particles advected by open chaotic flows. We show that, when observed in the configuration or physical space, the advected finite-size particles disperse about the unstable manifold of the chaotic saddle that governs the passive advection. Using a discrete-time system for the dynamics, we obtain an expression predicting the dispersion of the finite-size particles in terms of their Stokes parameter at the onset of the finite-size induced dispersion. We test our theory in a system derived from a flow and find remarkable agreement between our expression and the numerically measured dispersion.
Original language | English |
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Article number | 026302 |
Number of pages | 6 |
Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
Volume | 73 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 2006 |
Keywords
- inertial particles
- flows
- vortex
- sphere
- fluid