2012
DOI: 10.1146/annurev-chembioeng-062011-081000
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Transport Phenomena in Chaotic Laminar Flows

Abstract: In many important chemical processes, the laminar flow regime is inescapable and defines the performance of reactors, separators, and analytical instruments. In the emerging field of microchemical process or lab-on-a-chip, this constraint is particularly rigid. Here, we review developments in the use of chaotic laminar flows to improve common transport processes in this regime. We focus on four: mixing, interfacial transfer, axial dispersion, and spatial sampling. Our coverage demonstrates the potential for ch… Show more

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Cited by 31 publications
(22 citation statements)
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“…Microscale chaotic advection has been previously explored as a means to enhance bulk mixing in steadystate axial flows involving continuous transport of species from inlet to outlet (24). In contrast to our observations, results of these studies suggest that enhanced mixing in the bulk does not necessarily augment transport to the sidewall surfaces because chaotic and nonchaotic flow states act similarly to inhibit growth of nearwall species depletion zones over the timescale of residence within the microchannel (25), leading to a generally accepted conclusion that chaotic advection does not appreciably enhance interfacial transport in these scenarios (26). This regime is evident at residence times below t* ∼ 10 in our pore-mimicking system, where the data in Fig.…”
Section: Significancecontrasting
confidence: 99%
“…Microscale chaotic advection has been previously explored as a means to enhance bulk mixing in steadystate axial flows involving continuous transport of species from inlet to outlet (24). In contrast to our observations, results of these studies suggest that enhanced mixing in the bulk does not necessarily augment transport to the sidewall surfaces because chaotic and nonchaotic flow states act similarly to inhibit growth of nearwall species depletion zones over the timescale of residence within the microchannel (25), leading to a generally accepted conclusion that chaotic advection does not appreciably enhance interfacial transport in these scenarios (26). This regime is evident at residence times below t* ∼ 10 in our pore-mimicking system, where the data in Fig.…”
Section: Significancecontrasting
confidence: 99%
“…Fortunately, a large body of experimental, analytical, and computational work, on passive straight channel micromixers, has been dedicated to their geometry optimization [32][33][34][35]. The strength of these flow patterns is determined by the longitudinal pressure gradient between the inlet and outlet and by the geometrical parameters defining the ridge/groove structures that include: the angle q with respect to the channel axis; the groove's depth h, width w, and length l; and the spatial periodicity s. Thus, the search space for the optimal geometrical parameters is quite large.…”
Section: Discussionmentioning
confidence: 99%
“…The strength of these flow patterns is determined by the longitudinal pressure gradient between the inlet and outlet and by the geometrical parameters defining the ridge/groove structures that include: the angle q with respect to the channel axis; the groove's depth h, width w, and length l; and the spatial periodicity s. Thus, the search space for the optimal geometrical parameters is quite large. Fortunately, a large body of experimental, analytical, and computational work, on passive straight channel micromixers, has been dedicated to their geometry optimization [32][33][34][35]. Some of the determined geometrical dimensions that ensure maximization of the transversal flow components and vorticity include: ridge orientation q = 45°with respect to the fluid flow direction [25]; ridge depth as a function of the main channel height h = 0.25H [32,33]; ratio of groove width w to pitch s 0.5 to 0.7 [26,36].…”
Section: Discussionmentioning
confidence: 99%
“…1B, can dramatically reduce mixing length for low viscosity fluids (e.g., aqueous solutions). More sophisticated analyses (26)(27)(28) show that in the final stages of the homogenization process ℓ=d J Pe 1=4 due to wall effects, but because our subsequent analysis is intended to be only of leading order, the use of the Ranz model in deriving the mixing timescale is appropriate (29). In both cases, chaotic advection yields a sublinear scaling between channel length and flow rate.…”
Section: Active and Passive Mixing In Microfluidic Devicesmentioning
confidence: 99%