HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Chaotic mixing in effective compressible flows

Abstract : We study numerically joint mixing of salt and colloids by chaotic advection and how salt inhomogeneities accelerate or delay colloid mixing by inducing a velocity drift V dp between colloids and fluid particles as proposed in recent experiments [J. Deseigne et al., Soft Matter 10, 4795 (2014)]. We demonstrate that because the drift velocity is no longer divergence free, small variations to the total velocity field drastically affect the evolution of colloid variance σ ^2 = ^2. A consequence is that mixing strongly depends on the mutual coherence between colloid and salt concentration fields, the short time evolution of scalar variance being governed by a new variance production term P = − /2 when scalar gradients are not developed yet so that dissipation is weak. Depending on initial conditions, mixing is then delayed or enhanced, and it is possible to find examples for which the two regimes (fast mixing followed by slow mixing) are observed consecutively when the variance source term reverses its sign. This is indeed the case for localized patches modeled as Gaussian concentration profiles.
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download

Contributor : Florence Raynal Connect in order to contact the contributor
Submitted on : Saturday, July 16, 2016 - 5:09:38 PM
Last modification on : Wednesday, May 18, 2022 - 4:26:02 PM


Publisher files allowed on an open archive



Romain Volk, Cyril Mauger, Mickaël Bourgoin, Cécile Cottin-Bizonne, Christophe Ybert, et al.. Chaotic mixing in effective compressible flows. Physical Review E , American Physical Society (APS), 2014, 90, pp.013027. ⟨10.1103/PhysRevE.90.013027⟩. ⟨hal-01345888⟩



Record views


Files downloads