Frontiers of chaotic advection

H Aref, JR Blake, M Budišić, SSS Cardoso… - Reviews of Modern …, 2017 - APS
This work reviews the present position of and surveys future perspectives in the physics of
chaotic advection: the field that emerged three decades ago at the intersection of fluid …

Mixing versus stirring

E Villermaux - Annual Review of Fluid Mechanics, 2019 - annualreviews.org
Mixing is the operation by which a system evolves under stirring from one state of simplicity—
the initial segregation of the constituents—to another state of simplicity—their complete …

Stretching, coalescence, and mixing in porous media

T Le Borgne, M Dentz, E Villermaux - Physical review letters, 2013 - APS
We study scalar mixing in heterogeneous conductivity fields, whose structural disorder
varies from weak to strong. A range of stretching regimes is observed, depending on the …

Fluid–solid reaction in porous media as a chaotic restart process

T Aquino, T Le Borgne, J Heyman - Physical Review Letters, 2023 - APS
Chemical and biological reactions at fluid-solid interfaces are central to a broad range of
porous material applications and research. Pore-scale solute transport limitations can …

Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows

G Iyer, A Kiselev, X Xu - Nonlinearity, 2014 - iopscience.iop.org
Consider a diffusion-free passive scalar θ being mixed by an incompressible flow u on the
torus ${\mathbb T}^ d $. Our aim is to study how well this scalar can be mixed under an …

Alternate rotating walls for thermal chaotic mixing

K El Omari, Y Le Guer - International Journal of Heat and Mass Transfer, 2010 - Elsevier
In this study, we numerically investigate the evolution of two-dimensional mixing and heat
transfer enhancement within a two-rod stirring device. The fluid is heated by the walls, which …

Influence of the vorticity-scalar correlation on mixing

XY Yin, W Agoua, T Wu, WJT Bos - Physical Review Fluids, 2024 - APS
We investigate the role of the correlation between a scalar quantity and the vorticity in two-
dimensional mixing at infinite Péclet number. We assess, using a diffusivity-independent …

Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows

X Zheng, W Hu, J Wu - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
This work develops an efficient and accurate optimization algorithm to study the optimal
mixing problem driven by boundary control of unsteady Stokes flows, based on the …

Slow decay of concentration variance due to no-slip walls in chaotic mixing

E Gouillart, O Dauchot, B Dubrulle, S Roux… - Physical Review E …, 2008 - APS
Chaotic mixing in a closed vessel is studied experimentally and numerically in different two-
dimensional (2D) flow configurations. For a purely hyperbolic phase space, it is well known …

A nonsequential turbulent mixing process

J Duplat, C Innocenti, E Villermaux - Physics of Fluids, 2010 - pubs.aip.org
We study the relaxation of an initially segregated scalar mixture in a randomly stirred
medium, aiming at describing the overall concentration distribution of the mixture, its shape …