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

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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 each of these regimes and discuss the implications of the results presented for real-world microflow devices.

Detaljer

Författare
  • F. Garofalo
  • M. Giona
Externa organisationer
  • Sapienza University of Rome
Originalspråkengelska
Artikelnummer54003
TidskriftEurophysics Letters
Volym93
Utgåva nummer5
StatusPublished - 2011 mar
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa