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

We investigate the mixing layer thickness, delta(xi), along the streamwise coordinate. 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, delta(xi) similar to xi(1/3) resembling the classical Leveque scaling of the thermal boundary layer, ii) an intermediate anomalous regime delta(xi) similar to xi(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 (c) EPLA, 2011