Optimal chaotic mixing by two-dimensional Stokes flows

Details Optimal chaotic mixing by two-dimensional Stokes flows Optimal chaotic mixing by two-dimensional Stokes flows

2011-10-14

arxiv.org/abs/1110.3357v1

Physics

Fluid Dynamics

This article is accompanied by two videos

Scientific paper

Numerous mixing strategies in microfluidic devices rely on chaotic advection by time-dependent body forces. The question of determining the required forcing function to achieve optimal mixing at a given kinetic energy or power input remains however open. Using finite-horizon optimal control theory, we numerically calculated general optimal mixing flows in a two-dimensional periodic geometry as truncated sums of $N$ time-modulated Fourier modes that satisfy the Stokes equations. These flows were determined to minimize a multiscale mixing norm for a passive scalar at the final time, given a constraint of constant kinetic energy. In this fluid dynamics video, we show the evolution of the passive scalar field as it is advected by the optimal mixing flows, for different values of the number N of Fourier modes in the flow fields. Very efficient mixing is obtained when N is large, corresponding to a large number of length scales in the flow fields. We also present movies showing the dynamics of a patch of passive particles as they are transported by the flows, and much better spreading of the patch is obtained for large values of N.

Affiliated with

Also associated with

No associations

Rating

Optimal chaotic mixing by two-dimensional Stokes flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimal chaotic mixing by two-dimensional Stokes flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal chaotic mixing by two-dimensional Stokes flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687300