“…There is a book available on characterization of mixing in microsystems [10] and on different types of micromixers [11]. Kockmann et al [3] investigated convective micromixing in various mixer structures with the aim of high mixing intensity and a high throughput using two methods: optical measurements and a method based on the Villermaux-Dushman reaction.…”
“…There is a book available on characterization of mixing in microsystems [10] and on different types of micromixers [11]. Kockmann et al [3] investigated convective micromixing in various mixer structures with the aim of high mixing intensity and a high throughput using two methods: optical measurements and a method based on the Villermaux-Dushman reaction.…”
“…Periodic duct flows constitute the generic configuration for industrial devices involving continuous processing or treatment of laminar fluid streams. 8 Applications are numerous and include [1,2,3,6,7,10,9,4,12,5,8,11,13,16,14,15,17,18,19]:…”
Section: Industrial and Technological Relevancementioning
confidence: 99%
“…The equivalence (of at least said net throughflow region) with 2D unsteady flows means that 3D steady duct flows can basically always be designed to achieve global chaotic advection. Parametric studies enable systematic isolation of the appropriate operating conditions and thus are a common approach for optimisation and design of actual devices [62,63,50,64,6,65,7,66,67,9,13,68,16,69,71,72,73]. Fig.…”
Section: Generic Flow Topologymentioning
confidence: 99%
“…This flow regime sets in for a Reynolds number Re = UL/ν below the threshold of turbulence and is common to many systems and processes in industry and Nature due to high fluid viscosities ν, small length scales L and/or low velocities U. Industrial examples are found abundantly in fluids processing and span a wide range of scales from conventional food or polymer processing [1,2,3,4,5] to emerging technologies as e.g process intensification and micro-fluidics [6,7,8,9,10,11,12,13,14,15,16,17,18,19]. Further technological applications include (at first glance) less obvious systems as Darcy representations of flow and transport in porous media, relevant e.g.…”
Section: Introductionmentioning
confidence: 99%
“…3.2). Julio Ottino and co-workers laid the groundwork for mixing technology based on Lagrangian chaos in such 2D analogons in the late 1980s (resulting in his classical textbook [52]) and the framework thus developed has since found frequent application in engineering sciences [62,63,50,64,6,65,7,66,67,9,13,68,16,69,70,71,72,73]. The Ottino group extended this framework to granular flows that behave as a continuum [26,27,28].…”
Section: Lagrangian Transport In 3d Practical Flows 31 Introductionmentioning
Transport and mixing of scalar quantities in fluid flows is ubiquitous in industry and Nature. Turbulent flows promote efficient transport and mixing by their inherent randomness. Laminar flows lack such a natural mixing mechanism and efficient transport is far more challenging. However, laminar flow is essential to many problems and insight into its transport characteristics of great importance. Laminar transport, arguably, is best described by the Lagrangian fluid motion ("advection") and the geometry, topology and coherence of fluid trajectories. Efficient laminar transport being equivalent to "chaotic advection" is a key finding of this approach.
The Lagrangian framework enables systematic analysis and design of laminar flows. However, the gap between scientific insights into Lagrangian transport and technological applications is formidable primarily for two reasons. First, many studies concern two-dimensional (2D) flows yet the real world is three dimensional (3D). Second, Lagrangian transport is typically investigated for idealised flows yet practical relevance requires studies on realistic 3D flows.
The present review aims to stimulate further development and utilisation of know-how on 3D Lagrangian transport and its dissemination to practice. To this end 3D practical flows are categorised into canonical problems. First, to expose the diversity of Lagrangian transport and create awareness of its broad relevance. Second, to enable knowledge transfer both within and between scientific disciplines. Third, to reconcile practical flows with fundamentals on Lagrangian transport and chaotic advection. This may be a first incentive to structurally integrate the "Lagrangian mindset" into the analysis and design of 3D practical flows.
The study computationally explores the possibilities of vortex generation and micromixing inside a physicochemically patterned serpentine microchannel wherein a weak electrolyte is undergoing an electroosmotic flow. The results highlight the inefficiency of such serpentine microchannels in the absence of chemical patches due to the development of periodic electroosmotic and pressure-driven flows in the direction normal to the applied electric field. The periodic chemical patches with positive and negative ζ-potentials decorated on the microchannel walls facilitate reverse flow to enable the formation of an array of counter-rotating vortices inside the microchannel. While the rotational direction of the vortices could be periodically adjusted using an alternating field, the usage of channels with obtuse angles showed potential for uniform electroosmotic flow all along the serpentine channel. The number, size, and strength of vortices and mixing efficiency have been correlated with the number of chemical patches, ζpotential gradients, and the effects of filleted edges, among other parameters.
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