Settling and asymptotic motion of aerosol particles in a cellular flow field

DOI10.1007/BF01275644zbMath0841.76089OpenAlexW2017625199WikidataQ57919938 ScholiaQ57919938MaRDI QIDQ1898043

Jonathan E. Rubin, Christopher K. R. T. Jones, Martin R. Maxey

Publication date: 20 September 1995

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01275644

zbMATH Keywords

approach of zero inertiaglobally attracting slow manifold of critical pointsinfinite periodic flow fieldinvariant attracting manifoldnumerical subharmonic Melnikov calculation

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99)

Related Items (15)

Approximation of random slow manifolds and settling of inertial particles under uncertainty ⋮ Instabilities in the dynamics of neutrally buoyant particles ⋮ Locating an atmospheric contamination source using slow manifolds ⋮ Asymptotic dynamics of inertial particles with memory ⋮ Nonlinear dynamics of inertial particles in the ocean: from drifters and floats to marine debris and \textit{Sargassum} ⋮ Dust trapping in vortex pairs ⋮ Where do inertial particles go in fluid flows? ⋮ STREAMLINE TOPOLOGY AND DILUTE PARTICLE DYNAMICS IN A KÁRMÁN VORTEX STREET FLOW ⋮ Periodic homogenization for inertial particles ⋮ Asymptotic analysis of chaotic particle sedimentation and trapping in the vicinity of a vertical upward streamline ⋮ On the asymptotic solution of the Maxey-Riley equation ⋮ Tracking particles in flows near invariant manifolds via balance functions ⋮ Calculating effective diffusivities in the limit of vanishing molecular diffusion ⋮ Dispersion of inertial particles in cellular flows in the small-Stokes, large-Péclet regime ⋮ Clustering criterion for inertial particles in two-dimensional time-periodic and three-dimensional steady flows

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Geometric singular perturbation theory for ordinary differential equations
• On the advection of spherical and non-spherical particles in a non-uniform flow
• Chaotic dynamics of particle dispersion in fluids
• On the dynamics of buoyant and heavy particles in a periodic Stuart vortex flow
• Chaotic advection in a Rayleigh-Bénard flow

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