Lagrangian transport and chaotic advection in three-dimensional laminar flows

M Speetjens, G Metcalfe… - Applied …, 2021 - asmedigitalcollection.asme.org
Transport and mixing of scalar quantities in fluid flows is ubiquitous in industry and Nature.
While the more familiar turbulent flows promote efficient transport and mixing by their …

Coherent structures and chaotic advection in three dimensions

S Wiggins - Journal of fluid mechanics, 2010 - cambridge.org
In the 1980s the incorporation of ideas from dynamical systems theory into theoretical fluid
mechanics, reinforced by elegant experiments, fundamentally changed the way in which we …

Topology of advective-diffusive scalar transport in laminar flows

MFM Speetjens - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
The present study proposes a unified Lagrangian transport template for topological
description of advective fluid transport and advective-diffusive scalar transport in laminar …

Formation of coherent structures by fluid inertia in three-dimensional laminar flows

Z Pouransari, MFM Speetjens… - Journal of fluid …, 2010 - cambridge.org
Mixing under laminar flow conditions is key to a wide variety of industrial fluid systems of
size extending from micrometres to metres. Profound insight into three-dimensional laminar …

Chaotic stirring in quasi-turbulent flows

F Lekien, C Coulliette - Philosophical Transactions of the …, 2007 - royalsocietypublishing.org
Transport in laminar flows is governed by chaotic stirring and striation in long thin filaments.
In turbulent flows, isotropic mixing dominates and tracers behave like stochastic variables. In …

Transport phenomena in chaotic laminar flows

P Sundararajan, AD Stroock - Annual review of chemical and …, 2012 - annualreviews.org
In many important chemical processes, the laminar flow regime is inescapable and defines
the performance of reactors, separators, and analytical instruments. In the emerging field of …

Invariant manifold templates for chaotic advection

D Beigie, A Leonard, S Wiggins - Chaos, Solitons & Fractals, 1994 - Elsevier
Invariant manifolds can serve as a geometric template for the study of chaotic advection. In
particular, global stable and unstable manifolds of invariant hyperbolic or normally …

Lagrangian topology of a periodically reoriented potential flow: Symmetry, optimization, and mixing

DR Lester, G Metcalfe, MG Trefry, A Ord, B Hobbs… - Physical Review E …, 2009 - APS
Scalar transport in closed potential flows is investigated for the specific case of a periodically
reoriented dipole flow. Despite the irrotational nature of the flow, the periodic reorientations …

Numerical and experimental analysis of Lagrangian dispersion in two-dimensional chaotic flows

GL Forgia, D Cavaliere, S Espa, F Falcini… - Scientific Reports, 2022 - nature.com
We present a review and a new assessment of the Lagrangian dispersion properties of a 2D
model of chaotic advection and diffusion in a regular lattice of non stationary kinematic …

The dynamical systems approach to Lagrangian transport in oceanic flows

S Wiggins - Annu. Rev. Fluid Mech., 2005 - annualreviews.org
▪ Abstract Chaotic advection and, more generally, ideas from dynamical systems, have been
fruitfully applied to a diverse, and varied, collection of mixing and transport problems arising …