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Dispersion-induced mixing in simple flows : Evidence for new anomalous scaling laws in the mixing boundary layer beyond the Lèvêque theory

Garofalo, F. LU and Giona, M. (2011) In Europhysics Letters 93(5).
Abstract

We investigate the mixing layer thickness, δ(ξ), along the streamwise coordinate ξ of a straight channel fed with alternating streams of segregated solutes. We show the occurence of convection-enhanced mixing regimes downsteram the channel: i) an early-mixing regime, δ(ξ) ∼ξ
1/3 resembling the classical Lèvêque scaling of the thermal boundary layer, ii) an intermediate anomalous regime δ(ξ)∼ξ
3/5, where most of mixing occurs, and iii) an asymptotic scaling where the dynamics of mixing depends on the spanwise velocity profile and can be predicted by localization theory (Giona M., et al.., EPL, 83 (2008) 34001). We develop a complete theoretical derivation for... (More)

We investigate the mixing layer thickness, δ(ξ), along the streamwise coordinate ξ of a straight channel fed with alternating streams of segregated solutes. We show the occurence of convection-enhanced mixing regimes downsteram the channel: i) an early-mixing regime, δ(ξ) ∼ξ
1/3 resembling the classical Lèvêque scaling of the thermal boundary layer, ii) an intermediate anomalous regime δ(ξ)∼ξ
3/5, where most of mixing occurs, and iii) an asymptotic scaling where the dynamics of mixing depends on the spanwise velocity profile and can be predicted by localization theory (Giona M., et al.., EPL, 83 (2008) 34001). We develop a complete theoretical derivation for each of these regimes and discuss the implications of the results presented for real-world microflow devices. Copyright © 2011 Europhysics Letters Association.

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author
publishing date
type
Contribution to journal
publication status
published
in
Europhysics Letters
volume
93
issue
5
publisher
EDP Sciences
external identifiers
  • Scopus:79953656676
ISSN
0295-5075
DOI
10.1209/0295-5075/93/54003
language
English
LU publication?
no
id
d6c6abeb-2e35-4c5e-ad36-5056b539fbe0
date added to LUP
2016-06-27 10:08:34
date last changed
2017-01-01 08:29:08
@article{d6c6abeb-2e35-4c5e-ad36-5056b539fbe0,
  abstract     = {<p>We investigate the mixing layer thickness, δ(ξ), along the streamwise coordinate ξ of a straight channel fed with alternating streams of segregated solutes. We show the occurence of convection-enhanced mixing regimes downsteram the channel: i) an early-mixing regime, δ(ξ) ∼ξ<br>
                        <sup>1/3</sup> resembling the classical Lèvêque scaling of the thermal boundary layer, ii) an intermediate anomalous regime δ(ξ)∼ξ<br>
                        <sup>3/5</sup>, where most of mixing occurs, and iii) an asymptotic scaling where the dynamics of mixing depends on the spanwise velocity profile and can be predicted by localization theory (Giona M., et al.., EPL, 83 (2008) 34001). We develop a complete theoretical derivation for each of these regimes and discuss the implications of the results presented for real-world microflow devices. Copyright © 2011 Europhysics Letters Association.</p>},
  articleno    = {54003},
  author       = {Garofalo, F. and Giona, M.},
  issn         = {0295-5075},
  language     = {eng},
  number       = {5},
  publisher    = {EDP Sciences},
  series       = {Europhysics Letters},
  title        = {Dispersion-induced mixing in simple flows : Evidence for new anomalous scaling laws in the mixing boundary layer beyond the Lèvêque theory},
  url          = {http://dx.doi.org/10.1209/0295-5075/93/54003},
  volume       = {93},
  year         = {2011},
}