Mixing

Keywords: mixing, shear dispersion, Taylor dispersion

Keywords: mixing, mix-norm, optimal stirring, ergodicity

Abstract: I will discuss several issues in analyzing kinematics of a purely advective mixing process:

1) Determine whether the scalar quantity, such as dye, introduced into the flow field is - asymptotically - in time thoroughly mixed.

2) Determine how good is the mixture at any finite time.

3) Provide methods for open-loop optimization or feedback control of the mixture.

Keywords: eddy diffusivity, conserved tracer, reactive tracer

Keywords: passive scalar, enhanced diffusion, mixing
properties

Abstract: We consider passive scalar equation on a compact domain or manifold.
The fluid flow can aid diffusion and increase the speed of convergence of
the initial distribution to its average. We consider either stationary
or time periodic flows, and derive a sharp characterization of flows that
are particularly effective in enhancing the relaxation speed to mean value.
The characterization links enhanced relaxation with spectral properties

Keywords: mixing reaction broadcast
spawning coral scaling

Abstract: Coral and other marine organisms reproduce through the
mechanism of broadcast spawning, where egg and sperm are
released at separate locations and brought together by fluid
mixing and transport. Coral fertilization is particularly
important because corals are threatened by anthropogenic
climate change. We idealize broadcast spawning as point sources
of two reacting tracers separated by a neutral fluid. This

Keywords: Electrowetting, mixing, electrothermal flow