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Spectral characterization of mixing properties of annular MHD micromixers

Cerbelli, S.; Adrover, A.; Garofalo, F. LU and Giona, Max (2009) In Microfluidics and Nanofluidics 6(6). p.747-761
Abstract

We develop a quantitative analysis of mixing regimes in an annular MHD-driven micromixer recently proposed by Gleeson et al. as a prototype for biomolecular applications. The analysis is based on the spectral properties of the advection - diffusion operator, with specific focus on the dependence of the dominant eigenvalue - eigenfunction on the Peclet number and on the system geometry. A theoretical prediction for the dominant eigenvalue encompassing all mixing regimes is developed and validated by comparison with numerical simulations. The theoretical prediction is extended to an open inflow - outflow version of the reactor, which shows the occurrence of new regimes associated with the existence of a nonuniform axial flow. ©... (More)

We develop a quantitative analysis of mixing regimes in an annular MHD-driven micromixer recently proposed by Gleeson et al. as a prototype for biomolecular applications. The analysis is based on the spectral properties of the advection - diffusion operator, with specific focus on the dependence of the dominant eigenvalue - eigenfunction on the Peclet number and on the system geometry. A theoretical prediction for the dominant eigenvalue encompassing all mixing regimes is developed and validated by comparison with numerical simulations. The theoretical prediction is extended to an open inflow - outflow version of the reactor, which shows the occurrence of new regimes associated with the existence of a nonuniform axial flow. © Springer-Verlag 2008.

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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Advection diffusion equation, MHD micromixers, Mixing regimes, Spectral characterization
in
Microfluidics and Nanofluidics
volume
6
issue
6
pages
15 pages
publisher
Springer
external identifiers
  • Scopus:67349096329
ISSN
1613-4982
DOI
10.1007/s10404-008-0342-0
language
English
LU publication?
no
id
556a5445-fa8a-424f-b6f7-57e2d15735c4
date added to LUP
2016-06-27 10:10:53
date last changed
2017-01-01 08:29:08
@article{556a5445-fa8a-424f-b6f7-57e2d15735c4,
  abstract     = {<p>We develop a quantitative analysis of mixing regimes in an annular MHD-driven micromixer recently proposed by Gleeson et al. as a prototype for biomolecular applications. The analysis is based on the spectral properties of the advection - diffusion operator, with specific focus on the dependence of the dominant eigenvalue - eigenfunction on the Peclet number and on the system geometry. A theoretical prediction for the dominant eigenvalue encompassing all mixing regimes is developed and validated by comparison with numerical simulations. The theoretical prediction is extended to an open inflow - outflow version of the reactor, which shows the occurrence of new regimes associated with the existence of a nonuniform axial flow. © Springer-Verlag 2008.</p>},
  author       = {Cerbelli, S. and Adrover, A. and Garofalo, F. and Giona, Max},
  issn         = {1613-4982},
  keyword      = {Advection diffusion equation,MHD micromixers,Mixing regimes,Spectral characterization},
  language     = {eng},
  number       = {6},
  pages        = {747--761},
  publisher    = {Springer},
  series       = {Microfluidics and Nanofluidics},
  title        = {Spectral characterization of mixing properties of annular MHD micromixers},
  url          = {http://dx.doi.org/10.1007/s10404-008-0342-0},
  volume       = {6},
  year         = {2009},
}