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On the modelling of time-interleaved sequential lamination micromixers

Garofalo, F. LU and Giona, M. (2012) In Microfluidics and Nanofluidics 12(1-4). p.175-187
Abstract

We develop a novel and simple theoretical model of time-interleaved sequential lamination micromixers that improves the model proposed by Nguyen and coworkers (Microfluid Nanofluid 1:373-375, 2005a, Lab Chip 5:1320-1326, b, J Phys Conf Ser 34:136-141, 2006) based on the Taylor-Aris dispersion theory. The Nguyen model takes into account the non uniform structure of the velocity profile through an effective dispersion coefficient. However, it is essentially a one-dimensional model that is not suitable to describe (i) neither the behavior of mixing occurring at short length-scales, and characterized by the growth of a mixing boundary layer near the channel walls, (ii) nor the exponential decay of the concentration field occurring at larger... (More)

We develop a novel and simple theoretical model of time-interleaved sequential lamination micromixers that improves the model proposed by Nguyen and coworkers (Microfluid Nanofluid 1:373-375, 2005a, Lab Chip 5:1320-1326, b, J Phys Conf Ser 34:136-141, 2006) based on the Taylor-Aris dispersion theory. The Nguyen model takes into account the non uniform structure of the velocity profile through an effective dispersion coefficient. However, it is essentially a one-dimensional model that is not suitable to describe (i) neither the behavior of mixing occurring at short length-scales, and characterized by the growth of a mixing boundary layer near the channel walls, (ii) nor the exponential decay of the concentration field occurring at larger length-scales. The model we propose, which is based upon the theory of imaginary potential developed by Giona et al. (J Fluid Mech 513:221-237, 2004, Europhys Lett 83:34001, 2008, J Fluid Mech 639:291-341, 2009a), is able to provide quantitative predictions on the evolution of the L
2-norm of the concentration fields as function of the axial coordinate ξ, both for short and asymptotic lengthscales. The quantitative comparison with respect to the Nguyen model is illustrated and discussed. Finally, the coupling between parallel lamination and sequential segmentation is analyzed, and leads to unexpected and apparently counter-intuitive findings. © 2011 Springer-Verlag.

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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Advection-diffusion operator, Dispersion, Micromixers, Mixing, Sequential segmentation, Time-interleaved lamination
in
Microfluidics and Nanofluidics
volume
12
issue
1-4
pages
13 pages
publisher
Springer
external identifiers
  • scopus:84856227190
ISSN
1613-4982
DOI
10.1007/s10404-011-0861-y
language
English
LU publication?
no
id
9b449107-9d17-4d22-890e-2c2c1d61b2b2
date added to LUP
2016-06-27 10:21:21
date last changed
2017-01-01 08:29:09
@article{9b449107-9d17-4d22-890e-2c2c1d61b2b2,
  abstract     = {<p>We develop a novel and simple theoretical model of time-interleaved sequential lamination micromixers that improves the model proposed by Nguyen and coworkers (Microfluid Nanofluid 1:373-375, 2005a, Lab Chip 5:1320-1326, b, J Phys Conf Ser 34:136-141, 2006) based on the Taylor-Aris dispersion theory. The Nguyen model takes into account the non uniform structure of the velocity profile through an effective dispersion coefficient. However, it is essentially a one-dimensional model that is not suitable to describe (i) neither the behavior of mixing occurring at short length-scales, and characterized by the growth of a mixing boundary layer near the channel walls, (ii) nor the exponential decay of the concentration field occurring at larger length-scales. The model we propose, which is based upon the theory of imaginary potential developed by Giona et al. (J Fluid Mech 513:221-237, 2004, Europhys Lett 83:34001, 2008, J Fluid Mech 639:291-341, 2009a), is able to provide quantitative predictions on the evolution of the L <br>
                        <sup>2</sup>-norm of the concentration fields as function of the axial coordinate ξ, both for short and asymptotic lengthscales. The quantitative comparison with respect to the Nguyen model is illustrated and discussed. Finally, the coupling between parallel lamination and sequential segmentation is analyzed, and leads to unexpected and apparently counter-intuitive findings. © 2011 Springer-Verlag.</p>},
  author       = {Garofalo, F. and Giona, M.},
  issn         = {1613-4982},
  keyword      = {Advection-diffusion operator,Dispersion,Micromixers,Mixing,Sequential segmentation,Time-interleaved lamination},
  language     = {eng},
  number       = {1-4},
  pages        = {175--187},
  publisher    = {Springer},
  series       = {Microfluidics and Nanofluidics},
  title        = {On the modelling of time-interleaved sequential lamination micromixers},
  url          = {http://dx.doi.org/10.1007/s10404-011-0861-y},
  volume       = {12},
  year         = {2012},
}