Active chaotic mixing in a channel with rotating arc-walls

Kamal El Omari, Eliane Younes, Teodor Burghelea, Cathy Castelain, Yann Moguen, and Yves Le Guer
Phys. Rev. Fluids 6, 024502 – Published 26 February 2021

Abstract

An active inline mixer suitable for flows at low Reynolds number and high Péclet number is studied. An alternated oscillatory forcing protocol is imposed by three rotating circular arc-walls in a straight channel. In the two-dimensional case, simple phenomenological arguments are used to estimate heuristically the mixing efficiency with two nondimensional control parameters: the Strouhal number based on the bulk flow velocity and the strength of the cross flow relative to the transport flow. The validity and limitations of the proposed mixing conditions are explained by the transport mechanisms in the mixer. The beneficial role of the elliptic flow regions for stretching and folding the passive scalar interfaces is highlighted as well as a correlation between good mixing ability and the chaotic advection of tracers in the mixing zone.

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  • Received 13 June 2020
  • Accepted 28 January 2021
  • Corrected 22 March 2021

DOI:https://doi.org/10.1103/PhysRevFluids.6.024502

©2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Fluid Dynamics

Corrections

22 March 2021

Correction: The email addresses given in the byline footnotes for the third, fourth, and fifth authors were set improperly during production and have been fixed.

Authors & Affiliations

Kamal El Omari*

  • Université de Pau et des Pays de l'Adour, E2S UPPA, SIAME, Pau, France and Université de la Réunion, PIMENT, Le Tampon, France

Eliane Younes

  • Université de Pau et des Pays de l'Adour, E2S UPPA, SIAME, Pau, France and LUNAM Université, Université de Nantes, CNRS, Laboratoire de Thermique et Énergie de Nantes UMR 6607, Nantes, France

Teodor Burghelea and Cathy Castelain§

  • LUNAM Université, Université de Nantes, CNRS, Laboratoire de Thermique et Énergie de Nantes UMR 6607, Nantes, France

Yann Moguen and Yves Le Guer

  • Université de Pau et des Pays de l'Adour, E2S UPPA, SIAME, Pau, France

  • *kamal.elomari@univ-pau.fr; kamal.el-omari@univ-reunion.fr
  • eliane.younes@univ-nantes.fr
  • teodor.burghelea@univ-nantes.fr
  • §cathy.castelain@univ-nantes.fr
  • yann.moguen@univ-pau.fr
  • yves.leguer@univ-pau.fr

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Issue

Vol. 6, Iss. 2 — February 2021

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