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

Abstract

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
Volume18
Issue numberC
DOIs
Publication statusPublished - 2004
Event14th European Symposium on Computer Aided Process Engineering (ESCAPE-14) - Lisbon, Portugal
Duration: 16 May 200419 May 2004

Keywords

  • CHAOTIC ADVECTION
  • CONFOCAL ELLIPSES
  • TRANSPORT

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
Rodrigo, A. J. S. ; Rodrigues, R. C. R. ; Formiga, N. F. C. ; Mota, José Paulo Barbosa ; Lefevre, A. ; Saatdjian, E. / Optimization of mixing protocol in a 3-D time-periodic Stokes flow. In: Computer Aided Chemical Engineering. 2004 ; Vol. 18, No. C. pp. 271-276.
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Rodrigo, AJS, Rodrigues, RCR, Formiga, NFC, Mota, JPB, Lefevre, A & Saatdjian, E 2004, 'Optimization of mixing protocol in a 3-D time-periodic Stokes flow' Computer Aided Chemical Engineering, vol. 18, no. C, pp. 271-276. https://doi.org/10.1016/S1570-7946(04)80111-1

Optimization of mixing protocol in a 3-D time-periodic Stokes flow. / Rodrigo, A. J. S.; Rodrigues, R. C. R.; Formiga, N. F. C.; Mota, José Paulo Barbosa; Lefevre, A.; Saatdjian, E.

In: Computer Aided Chemical Engineering, Vol. 18, No. C, 2004, p. 271-276.

Research output: Contribution to journalArticle

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AU - Rodrigo, A. J. S.

AU - Rodrigues, R. C. R.

AU - Formiga, N. F. C.

AU - Mota, José Paulo Barbosa

AU - Lefevre, A.

AU - Saatdjian, E.

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