Spectral characterization of static mixers. The S-shaped micromixer as a case study
(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.
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- author
- Garofalo, F. LU ; Adrover, A. ; Cerbelli, S. and Giona, M.
- publishing date
- 2010-02
- 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
- John Wiley & Sons Inc.
- 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
- 2022-03-24 00:03:24
@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.</p>}},
author = {{Garofalo, F. and Adrover, A. and Cerbelli, S. and Giona, M.}},
issn = {{0001-1541}},
keywords = {{Advection-diffusion equation; Helical flow; Homogenization exponent; Mixing; Motionless micromixer; Spectral analysis}},
language = {{eng}},
number = {{2}},
pages = {{318--335}},
publisher = {{John Wiley & Sons Inc.}},
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}},
doi = {{10.1002/aic.11994}},
volume = {{56}},
year = {{2010}},
}