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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.

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author
; ; and
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
2022-02-21 19:09:10
@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.</p>}},
  author       = {{Cerbelli, S. and Adrover, A. and Garofalo, F. and Giona, Max}},
  issn         = {{1613-4982}},
  keywords     = {{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}},
  doi          = {{10.1007/s10404-008-0342-0}},
  volume       = {{6}},
  year         = {{2009}},
}