Effective dispersion and separation resolution in continuous particle fractionation
(2015) In Microfluidics and Nanofluidics 19(5). p.10351046 Abstract
Theoretical models and experiments suggest that the transport of suspended particles in microfluidicsbased sorting devices can be modeled by a twodimensional effective advectiondiffusion 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 closedform expression connecting the effective transport parameters to separation resolution in continuous particle fractionation. We show that the variance of the steadystate particle concentration profile at an arbitrary crosssection of the device depends upon a scalar dispersion parameter,... (More)
Theoretical models and experiments suggest that the transport of suspended particles in microfluidicsbased sorting devices can be modeled by a twodimensional effective advectiondiffusion 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 closedform expression connecting the effective transport parameters to separation resolution in continuous particle fractionation. We show that the variance of the steadystate particle concentration profile at an arbitrary crosssection 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.
(Less)
 author
 Cerbelli, Stefano; Garofalo, Fabio ^{LU} and Giona, Massimiliano
 organization
 publishing date
 20150809
 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
 16134982
 DOI
 10.1007/s1040401516189
 language
 English
 LU publication?
 yes
 id
 7389a01a5ecb4766b8f83b4287614df3
 date added to LUP
 20160623 20:42:22
 date last changed
 20170709 04:51:18
@article{7389a01a5ecb4766b8f83b4287614df3, abstract = {<p>Theoretical models and experiments suggest that the transport of suspended particles in microfluidicsbased sorting devices can be modeled by a twodimensional effective advectiondiffusion 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 closedform expression connecting the effective transport parameters to separation resolution in continuous particle fractionation. We show that the variance of the steadystate particle concentration profile at an arbitrary crosssection 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 = {16134982}, keyword = {Dispersion,Effective transport,Fractionation,Periodic media,Resolution}, language = {eng}, month = {08}, number = {5}, pages = {10351046}, publisher = {Springer}, series = {Microfluidics and Nanofluidics}, title = {Effective dispersion and separation resolution in continuous particle fractionation}, url = {http://dx.doi.org/10.1007/s1040401516189}, volume = {19}, year = {2015}, }