Optimization of mixing protocol in a 3-D time-periodic Stokes flow

A. J. S. Rodrigo, R. C. R. Rodrigues, N. F. C. Formiga, José Paulo Barbosa Mota, A. Lefevre, E. Saatdjian

Research output: Contribution to journalArticle


A new 3-D periodic Stokes flow has been imagined and realized experimentally. It consists of axial Poiseuille flow superimposed on the 2-D tangential motion between two confocal ellipses that glide circumferentially so that the geometry is invariant. Using a numerical experiment to study the advection of a passive scalar. we show that for a given 3-D mixer geometry and flow rate there is an optimum modulation frequency of the boundary displacement protocol for which the mixing process is most efficient. Furthermore, it is shown that chaotic advection can be regarded as a frequency-selective amplifier. This behavior is not unlike that of fluid stability where external perturbations are amplified for a certain frequency range. For values above or below this range. perturbations are damped and the system is stable.

Original languageEnglish
Pages (from-to)271-276
Number of pages6
JournalComputer Aided Chemical Engineering
Issue numberC
Publication statusPublished - 2004
Event14th European Symposium on Computer Aided Process Engineering (ESCAPE-14) - Lisbon, Portugal
Duration: 16 May 200419 May 2004



Cite this

Rodrigo, A. J. S., Rodrigues, R. C. R., Formiga, N. F. C., Mota, J. P. B., Lefevre, A., & Saatdjian, E. (2004). Optimization of mixing protocol in a 3-D time-periodic Stokes flow. Computer Aided Chemical Engineering, 18(C), 271-276. https://doi.org/10.1016/S1570-7946(04)80111-1