Rate of chaotic mixing in localized flows

Rate of chaotic mixing in localized flows

Enhancing Efficiency of Mixing in Chaotic Flows

We propose a mechanism by which the efficiency of mixing in chaotic flows can be enhanced. Our mechanism consists of introducing small changes in the system parameters in regions of phase space where the local Lyapunov exponent falls substantially below its average value. We have applied our mechanism to several typical chaotic maps and flows including a system of chemical reactions. We find th...

Competing populations in flows with chaotic mixing.

We investigate the effects of spatial heterogeneity on the coexistence of competing species in the case when the heterogeneity is dynamically generated by environmental flows with chaotic mixing properties. We show that one effect of chaotic advection on the passively advected species (such as phytoplankton, or self-replicating macro-molecules) is the possibility of coexistence of more species ...

Chaotic mixing in effective compressible flows.

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...

Mixing in vortical, chaotic and turbulent flows.

Mixing is discussed in relation to stirring as reflected in the geometry of advected interfaces, the behaviour of fluid-element pairs and their separation rates. Stirring is different in vortical, chaotic and turbulent flows because of qualitative differences in spatio-temporal flow structure, thus giving rise to different mixing laws. Important applications of the mixing and stirring propertie...