Effective dispersion and separation resolution in continuous particle fractionation
(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
- Cerbelli, Stefano ; Garofalo, Fabio LU and Giona, Massimiliano
- organization
- publishing date
- 2015-08-09
- 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
- 2023-09-11 20:32:28
@article{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}},
keywords = {{Dispersion; Effective transport; Fractionation; Periodic media; Resolution}},
language = {{eng}},
month = {{08}},
number = {{5}},
pages = {{1035--1046}},
publisher = {{Springer}},
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}},
doi = {{10.1007/s10404-015-1618-9}},
volume = {{19}},
year = {{2015}},
}