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Effective dispersion and separation resolution in continuous particle fractionation

Cerbelli, Stefano; Garofalo, Fabio LU and Giona, Massimiliano (2015) In Microfluidics and Nanofluidics 19(5). p.1035-1046
Abstract

Theoretical models and experiments suggest that the transport of suspended particles in microfluidics-based sorting devices can be modeled by a two-dimensional effective advection-diffusion process characterized by constant average velocity, $$\mathbf {W}$$W, and a typically anisotropic dispersion tensor, $$\mathbb {D}$$D, whose principal axes are slanted with respect to the direction of the effective velocity. We derive a closed-form expression connecting the effective transport parameters to separation resolution in continuous particle fractionation. We show that the variance of the steady-state particle concentration profile at an arbitrary cross-section of the device depends upon a scalar dispersion parameter,... (More)

Theoretical models and experiments suggest that the transport of suspended particles in microfluidics-based sorting devices can be modeled by a two-dimensional effective advection-diffusion process characterized by constant average velocity, $$\mathbf {W}$$W, and a typically anisotropic dispersion tensor, $$\mathbb {D}$$D, whose principal axes are slanted with respect to the direction of the effective velocity. We derive a closed-form expression connecting the effective transport parameters to separation resolution in continuous particle fractionation. We show that the variance of the steady-state particle concentration profile at an arbitrary cross-section of the device depends upon a scalar dispersion parameter, $$D_\mathrm{eff}$$Deff, which is primarily controlled by the projection of the dispersion tensor onto the direction orthogonal to $$\mathbf {W}$$W. Numerical simulations of particle transport in a Deterministic Lateral Displacement device, here used as a benchmark to illustrate the practical use of the effective transport approach, indicate that sustained dispersion regimes typically arise, where the dispersion parameter $$\mathcal {D}_\mathrm{eff}$$Deff can be orders of magnitude larger than the bare particle diffusivity.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Dispersion, Effective transport, Fractionation, Periodic media, Resolution
in
Microfluidics and Nanofluidics
volume
19
issue
5
pages
12 pages
publisher
Springer
external identifiers
  • Scopus:84945464975
ISSN
1613-4982
DOI
10.1007/s10404-015-1618-9
language
English
LU publication?
yes
id
7389a01a-5ecb-4766-b8f8-3b4287614df3
date added to LUP
2016-06-23 20:42:22
date last changed
2016-10-13 05:10:51
@misc{7389a01a-5ecb-4766-b8f8-3b4287614df3,
  abstract     = {<p>Theoretical models and experiments suggest that the transport of suspended particles in microfluidics-based sorting devices can be modeled by a two-dimensional effective advection-diffusion process characterized by constant average velocity, $$\mathbf {W}$$W, and a typically anisotropic dispersion tensor, $$\mathbb {D}$$D, whose principal axes are slanted with respect to the direction of the effective velocity. We derive a closed-form expression connecting the effective transport parameters to separation resolution in continuous particle fractionation. We show that the variance of the steady-state particle concentration profile at an arbitrary cross-section of the device depends upon a scalar dispersion parameter, $$D_\mathrm{eff}$$Deff, which is primarily controlled by the projection of the dispersion tensor onto the direction orthogonal to $$\mathbf {W}$$W. Numerical simulations of particle transport in a Deterministic Lateral Displacement device, here used as a benchmark to illustrate the practical use of the effective transport approach, indicate that sustained dispersion regimes typically arise, where the dispersion parameter $$\mathcal {D}_\mathrm{eff}$$Deff can be orders of magnitude larger than the bare particle diffusivity.</p>},
  author       = {Cerbelli, Stefano and Garofalo, Fabio and Giona, Massimiliano},
  issn         = {1613-4982},
  keyword      = {Dispersion,Effective transport,Fractionation,Periodic media,Resolution},
  language     = {eng},
  month        = {08},
  number       = {5},
  pages        = {1035--1046},
  publisher    = {ARRAY(0x8b90c48)},
  series       = {Microfluidics and Nanofluidics},
  title        = {Effective dispersion and separation resolution in continuous particle fractionation},
  url          = {http://dx.doi.org/10.1007/s10404-015-1618-9},
  volume       = {19},
  year         = {2015},
}