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Spectral characterization of static mixers. The S-shaped micromixer as a case study

Garofalo, F. LU ; Adrover, A.; Cerbelli, S. and Giona, M. (2010) In AICHE Journal 56(2). p.318-335
Abstract

We investigate the steady-state performance of a planar micromixer composed of several S-shaped units. Mixing efficiency is quantified by the decay of the scalar variance downstream the device for generic feeding conditions. We discuss how this decay is controlled by the spectral properties of the advection-diffusion Floquet operator, F, that maps a generic scalar profile at the inlet of a single unit into the corresponding profile at the unit outlet section. Two advantages characterize the Floquet operator approach -(i) it allows to analyze an arbitrarily long device and (ii) it provides a quantitative assessment of mixing efficiency that is independent of the feeding conditions and that depends solely on the interaction between... (More)

We investigate the steady-state performance of a planar micromixer composed of several S-shaped units. Mixing efficiency is quantified by the decay of the scalar variance downstream the device for generic feeding conditions. We discuss how this decay is controlled by the spectral properties of the advection-diffusion Floquet operator, F, that maps a generic scalar profile at the inlet of a single unit into the corresponding profile at the unit outlet section. Two advantages characterize the Floquet operator approach -(i) it allows to analyze an arbitrarily long device and (ii) it provides a quantitative assessment of mixing efficiency that is independent of the feeding conditions and that depends solely on the interaction between advection and diffusion. © 2009 American Institute of Chemical Engineers.

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Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
keywords
Advection-diffusion equation, Helical flow, Homogenization exponent, Mixing, Motionless micromixer, Spectral analysis
in
AICHE Journal
volume
56
issue
2
pages
18 pages
publisher
Wiley-Blackwell
external identifiers
  • scopus:74349116278
ISSN
0001-1541
DOI
10.1002/aic.11994
language
English
LU publication?
no
id
8a5959e1-da98-48ec-b892-db82f9a71b7e
date added to LUP
2016-06-27 10:11:55
date last changed
2017-03-05 04:34:55
@article{8a5959e1-da98-48ec-b892-db82f9a71b7e,
  abstract     = {<p>We investigate the steady-state performance of a planar micromixer composed of several S-shaped units. Mixing efficiency is quantified by the decay of the scalar variance downstream the device for generic feeding conditions. We discuss how this decay is controlled by the spectral properties of the advection-diffusion Floquet operator, F, that maps a generic scalar profile at the inlet of a single unit into the corresponding profile at the unit outlet section. Two advantages characterize the Floquet operator approach -(i) it allows to analyze an arbitrarily long device and (ii) it provides a quantitative assessment of mixing efficiency that is independent of the feeding conditions and that depends solely on the interaction between advection and diffusion. © 2009 American Institute of Chemical Engineers.</p>},
  author       = {Garofalo, F. and Adrover, A. and Cerbelli, S. and Giona, M.},
  issn         = {0001-1541},
  keyword      = {Advection-diffusion equation,Helical flow,Homogenization exponent,Mixing,Motionless micromixer,Spectral analysis},
  language     = {eng},
  number       = {2},
  pages        = {318--335},
  publisher    = {Wiley-Blackwell},
  series       = {AICHE Journal},
  title        = {Spectral characterization of static mixers. The S-shaped micromixer as a case study},
  url          = {http://dx.doi.org/10.1002/aic.11994},
  volume       = {56},
  year         = {2010},
}