Spectral characterization of mixing properties of annular MHD micromixers
(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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https://lup.lub.lu.se/record/556a5445-fa8a-424f-b6f7-57e2d15735c4
- author
- Cerbelli, S. ; Adrover, A. ; Garofalo, F. LU and Giona, Max
- publishing date
- 2009
- 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}}, }