Dispersion-induced mixing in simple flows : Evidence for new anomalous scaling laws in the mixing boundary layer beyond the Lèvêque theory
(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
(Less)
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.
- author
- Garofalo, F. LU and Giona, M.
- publishing date
- 2011-03
- type
- Contribution to journal
- publication status
- published
- in
- Europhysics Letters
- volume
- 93
- issue
- 5
- article number
- 54003
- 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
- 2022-01-30 04:47:54
@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.</p>}}, 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}}, doi = {{10.1209/0295-5075/93/54003}}, volume = {{93}}, year = {{2011}}, }