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25 April 2024
 
  » pubmed » pmid16605449

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Finite-size effects on open chaotic advection
Rafael D Vilela ; Alessandro P S de Moura ; Celso Grebogi ;
Date 31 Jan 2006
Journal Phys Rev E, 73 (2 Pt 2), 026302
AbstractWe 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.
Source PubMed, pmid16605449
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