Geometric effects on fluid mixing in passive grooved micromixers

The effects of geometric parameters on the mixing performance of a staggered herringbone mixer (SHM) with patterned grooves are numerically investigated. Combining use of the software package CFD-ACE+ and the Taguchi method provides a powerful and systematic approach for research on microfluidics. An orthogonal array L9(3(4)) is established for parameters introduced by the groove geometry; in total 9 cases are simulated. Analyses of the mixing phenomena, geometric parameter, pressure loss and flow rate through grooves are conducted. The modes of fluid motion and dominant mechanisms of mixing within the SHM are observed and ascertained. Although the depth ratio and the asymmetry index of the groove are found to be dominant geometric parameters, the rate of flow within the groove is verified to be the most significant factor that affects the mixing performance of a SHM. To date, the effects of the parameters are evaluated within specified ranges, and the true optimum design has yet to be discovered.     

Oscillating laminar electrokinetic flow in infinitely extended circular microchannels

This article addresses the problem of oscillating laminar electrokinetic liquid flow in an infinitely extended circular microchannel. Based on the Debye-Huckel approximation for low surface potential at the channel wall, a complex variable approach is used to obtain an analytical solution for the flow. The complex counterparts of the flow rate and the current are linearly dependent on the pressure gradient and the external electric field. This property is used to show that Onsager's principle of reciprocity continues to be valid (involving the complex quantities) for the stated problem. During oscillating pressure-driven flow, the electroviscous effect for a given value of the normalized reciprocal electrical double-layer (EDL) thickness is observed to attain a maximum at a certain normalized frequency. In general, an increasing normalized frequency results in a reduction of EDL effects, leading to (i). a volumetric flow rate in the case of streaming potential approaching that predicted by the theory without EDL effects, and (ii). a reduction in the volumetric flow rate in the case of electroosmosis.     

Oscillating laminar electrokinetic flow in infinitely extended rectangular microchannels

This paper has addressed analytically the problem of laminar flow in microchannels with rectangular cross-section subjected to a time-dependent sinusoidal pressure gradient and a sinusoidal electric field. The analytical solution has been determined based on the Debye-Hückel approximation of a low surface potential at the channel wall. We have demonstrated that Onsager's principle of reciprocity is valid for this problem. Parametric studies of streaming potential have shown the dependence of the electroviscous effect not only on the Debye length, but also on the oscillation frequency and the microchannel width. Parametric studies of electroosmosis demonstrate that the flow rate decreases due to an increase in frequency. The obtained solutions for both the streaming potential and electroosmotic flows become those for flow between two parallel plates in the limit of a large aspect ratio.     

Rapid method for design and fabrication of passive micromixers in microfluidic devices using a direct-printing process

We developed a facile and rapid one-step technique for design and fabrication of passive micromixers in microfluidic devices using a direct-printing process. A laser printing mechanism was dexterously adopted to pattern the microchannels with different gray levels using vector graphic software. With the present method, periodically ordered specific bas-relief microstructures can be easily fabricated on transparencies by a simple printing process. The size and shape of the resultant microstructures are determined by the gray level of the graphic software and the resolution of the laser printer. Patterns of specific bas-relief microstructures on the floor of a channel act as obstacles in the flow path for advection mixing, which can be used as efficient mixing elements. The mixing effect of the resultant micromixer in microfluidic devices was evaluated using CCD fluorescence spectroscopy. We found that the mixing performance depends strongly on the gray level values. Under optimal conditions, fast passive mixing with our periodic ordered patterns in microfluidic devices has been achieved at the very early stages of the laminar flow. In addition, fabrication of micromixers using the present versatile technique requires less than an hour. The present method is promising for fabrication of micromixers in microfluidic devices at low cost and without complicated devices and environment, providing a simple solution to mixing problems in the micro-total-analysis-systems field.     

A parallel diffusion-based microfluidic device for bacterial chemotaxis analysis

We developed a multiple-channel microfluidic device for bacterial chemotaxis detection. Some characteristics such as easy operation, parallel sample adding design and fast result readout make this device convenient for most biology labs. The characteristic feature of the design is the agarose gel channels, which serve as a semi-permeable membrane. They can stop the fluid flow and prevent bacteria getting across, but permit the diffusion of small molecules. In the device fabrication process a novel thermal-based method was used to control the shape of agarose gel in the microfluidic channel. The chemical gradient is established by diffusion which can be precisely controlled and measured. Combined with an 8-channel pipette, different attractants, repellent chemicals or different bacteria were analyzed by a two step operation with a readout time of one hour. This device may be useful in the high throughput detection of chemotaxis related molecules and genes.     

A new generalization of the standard electrokinetic model

We present a new generalization of the standard electrokinetic model based on the assumption that there is a thin layer surrounding the suspended particle where the equilibrium ion density is not determined by the Gouy-Chapman distribution, while the standard model applies outside this layer. Our approach differs from existing models in that we consider that the surface layer is made both of free ions (mostly counterions) and of the fixed ions that constitute the charge of the particle. Furthermore, the free ion density is determined by appropriate boundary conditions without considering any adsorption isotherms. Finally, the fluid is allowed to freely flow inside the layer, only hindered by the presence of the fixed charges and the adhesion condition on the surface of the particle. We show that this generalization leads to results that qualitatively differ from those obtained using existing models: instead of always decreasing, the electrophoretic mobility can actually increase with the anomalous surface conductivity. This could make it possible to use our model for the interpretation of a broader set of experimental data, including those cases when the measured mobility is higher than predicted by the standard model.     

Magnetically activated micromixers for separation membranes

Presented here is a radically novel approach to reduce concentration polarization and, potentially, also fouling by colloids present in aqueous feeds: magnetically responsive micromixing membranes. Hydrophilic polymer chains, poly(2-hydroxyethyl methacrylate) (PHEMA), were grafted via controlled surface-initiated atom transfer radical polymerization (SI-ATRP) on the surface of polyamide composite nanofiltration (NF) membranes and then end-capped with superparamagnetic iron oxide magnetite (Fe(3)O(4)) nanoparticles. The results of all functionalization steps, that is, bromide ATRP initiator immobilization, SI-ATRP, conversion of PHEMA end groups from bromide to amine, and carboxyl-functional Fe(3)O(4) nanoparticle immobilization via peptide coupling, have been confirmed by X-ray photoelectron spectroscopy (XPS) and field emission scanning electron microscopy (FESEM). These nanoparticles experience a magnetic force as well as a torque under an oscillating external magnetic field. It has been shown, using particle image velocimetry (PIV), that the resulting movement of the polymer brushes at certain magnetic field frequencies induces mixing directly above the membrane surface. Furthermore, it was demonstrated that with such membranes the NF performance could significantly be improved (increase of flux and salt rejection) by an oscillating magnetic field, which can be explained by a reduced concentration polarization in the boundary layer. However, the proof-of-concept presented here for the active alteration of macroscopic flow via surface-anchored micromixers based on polymer-nanoparticle conjugates has much broader implications.     

A review on micromixers actuated with magnetic nanomaterials

The review (with 95 refs.) starts with an introduction that addresses the need for magnetic actuation in microfluidics. A second section describes the equations governing magnetic micromixing, with subsections on magnetic equations, fluid flow equations, and on convection–diffusion equations. The next section specifically covers magnetically actuated micromixers, with subsections on those actuated by external permanent magnets, by electromagnets, by microstirrers, and on micromixers with integrated electrodes. The conclusion summarizes the state of the art and addresses current challenges and trends.

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Graphical abstract In this review, micromixers are classified into four types according to drive mode including external permanent magnet, electromagnet, microstirrer and the integrated electrode. The basic governing equations and operating rules of magnetic micromixers are given. The review is supposed to provide a helpful reference for those intending to study this field.

     

An Ohmic model for electrokinetic flows of binary asymmetric electrolytes

The transport of electrolytes in electric fields is a ubiquitous phenomenon commonly harnessed in microfluidics. A classic leaky dielectric model for flow generated by electric fields accurately predicts electrohydrodynamic transport phenomenon but is valid for millimeter-scale and larger flows and at relatively low ionic strength. Here, we derive and use a modified version of this model to sub-millimeter scales more relevant to microfluidics, where diffusive transport of charged species becomes non-negligible. We formulate a general equation set, the modified Ohmic model, applicable to the transport of binary, asymmetric electrolytes. We leverage this model to describe a variety of microfluidic electrokinetic systems, including DC electroosmosis, alternating current electrokinetics (ACEK) and induced-charge electroosmosis (ICEO), thus highlighting some unifying principles of these flows.     

Integrated and diffusion-based micro-injectors for open access cell assays

Currently, most microfluidic devices are fabricated with embedded micro-channels and other elements in a close form with outward connections. Although much functionality has been demonstrated and a large number of applications have been developed, they are not easy for routine operation in biology laboratories where most in vitro cell processing still relies on the use of culture dishes, glass slides, multi-well plates, tubes, pipettes, etc. We report here an open access device which consists of an array of isolated micro-channels plated on a large culture surface, each of them having tiny nozzles for localized drug delivery. In a diffusion dominant regime, steady gradients of molecule concentration could be obtained and varied by changing the flow rate inside the micro-channels. As assay examples, cell staining and drug-induced cell apoptosis were demonstrated, showing fast cell responses in close proximity of the nozzles.     

Visualization and quantification of chaotic mixing for helical-type micromixers

The paper presents a micro mixer structures fabricated by an interesting technique of embedded twisted threads in polydimethylsiloxane (PDMS), which is polymerized and cured. After removing the threads carefully, the remaining channel structure is studied concerning the flows and mixing characteristics. Three-, four-, and six-strand-helical fluid microchannels (d _h ?=?100?μm, L?=?3?mm) with a specified helix angle (θ?=?22°) were used to conduct the experiments. The electroosmotic flow, inlet velocity, local velocity at specified positions, and sample concentration distribution along a downstream direction were measured via microparticle image velocimetry and laser-induced fluorescence techniques, respectively. Local mixing efficiency and mixing length were obtained at very low Reynolds numbers (≤0.0242) and low Peclet numbers (≤65.8). Results show that four-strand micromixer has the best mixing performance. Finally, a correlation of mixing length with Pe was developed, which might be applicable to a microbiomedical device design.     

A simple model for the water o-H2 complex

The infrared spectrum of the complex between o-H2 and H2O, D2O, or HDO, isolated in a matrix of solid p-H2, has been studied between 20 and 4500 cm(-1). In addition the infrared spectrum of the complex between p-D2 and H2O in solid o-D2 has been studied. The spectral shifts are interpreted as the result of the quadrupole-dipole interaction between hydrogen and water.     

A local spin study for magnetic model complex HHeH

Chemists, physicists and material scientists havegiven great attention to the theoretical studies of mag-netic systems owing to their significance in the fun-damental research areas as well as their potential ap-plications in the field of high technologie…     

The potential of micromixers for contacting of disperse liquid phases

The dispersion of two immiscible fluids in a static micromixer comprising interdigital channels with corrugated walls was investigated using silicon oil dispersed in dyed as well as pure water as test systems. Silicon oil and water flow rates between 20 mL/h to 500 mL/h and 150 mL/h to 700 mL/h were used, respectively. The experiments revealed the dependence of the average droplet size and size distribution on geometrical parameters of the micromixer and operating conditions. Dispersions with average droplet sizes as small as 5.6 μm and monomodal size distributions having small standard deviations of the droplet size down to 3.6 μm could be generated using the micromixer. The droplet size decreased with increasing total flow and ratio of the flow rates of the two liquids. In addition, a decrease of the droplet size was found when decreasing the channel width of the mixing device. Generally, the silicon oil – dyed water dispersion showed smaller average droplet sizes and were more stable compared to the dispersions based on silicon oil and pure water. Received: 5 January 1999 / Revised: 10 February 1999 / Accepted: 13 February 1999     

A general theoretical model for electron transfer reactions in complex systems

In this paper we present a general theoretical-computational model for treating electron transfer reactions in complex atomic-molecular systems. The underlying idea of the approach, based on unbiased first-principles calculations at the atomistic level, utilizes the definition and the construction of the Diabatic Perturbed states of the involved reactive partners (i.e. the quantum centres in our perturbation approach) as provided by the interaction with their environment, including their mutual interaction. In this way we reconstruct the true Adiabatic states of the reactive partners characterizing the electron transfer process as the fluctuation of the electronic density due to the fluctuating perturbation. Results obtained by using a combination of Molecular Dynamics simulation and the Perturbed Matrix Method on a prototypical intramolecular electron transfer (from 2-(9,9'-dimethyl)fluorene to the 2-naphthalene group separated by a steroidal 5-α-androstane skeleton) well illustrate the accuracy of the method in reproducing both the thermodynamics and the kinetics of the process.     

Metal complex separation with on-line sample preconcentration in micellar electrokinetic chromatography.

Micellar electrokinetic chromatography (MEKC) using a cationic surfactant as a pseudostationary phase was examined to separate anionic metal cyclohexane-1,2-diaminetetraacetic acid (CDTA) complexes. Cetyltrimethylammonium chloride (CTAC) was employed as the cationic surfactant micelle, its addition leading to EOF reversal. Cu(II), Co(II), Zn(II), Mn(II) and Pb(II) were used as test analytes, and the complete separation was obtained by MEKC. On-line sample preconcentration by sweeping was also examined to improve the detection sensitivity. From 15- to 42-fold increases in the detection sensitivity in terms of the peak heights were obtained by sweeping with a cationic micelle in the presence of high EOF. The limits of detection were in the range (0.6 - 1.8) x 10(-6) M with UV detection without any off-line preconcentration step.     

Fluctuating lattice-Boltzmann model for complex fluids

We develop and test numerically a lattice-Boltzmann (LB) model for nonideal fluids that incorporates thermal fluctuations. The fluid model is a momentum-conserving thermostat, for which we demonstrate how the temperature can be made equal at all length scales present in the system by having noise both locally in the stress tensor and by shaking the whole system in accord with the local temperature. The validity of the model is extended to a broad range of sound velocities. Our model features a consistent coupling scheme between the fluid and solid molecular dynamics objects, allowing us to use the LB fluid as a heat bath for solutes evolving in time without external Langevin noise added to the solute. This property expands the applicability of LB models to dense, strongly correlated systems with thermal fluctuations and potentially nonideal equations of state. Tests on the fluid itself and on static and dynamic properties of a coarse-grained polymer chain under strong hydrodynamic interactions are used to benchmark the model. The model produces results for single-chain diffusion that are in quantitative agreement with theory.     

Electrolysis-reducing electrodes for electrokinetic devices

Direct current electrokinetic systems generally require Faradaic reactions to occur at a pair of electrodes to maintain an electric field in an electrolyte connecting them. The vast majority of such systems, e.g. electrophoretic separations (capillary electrophoresis) or electroosmotic pumps (EOPs), employ electrolysis of the solvent in these reactions. In many cases, the electrolytic products, such as H+ and OH? in the case of water, can negatively influence the chemical or biological species being transported or separated, and gaseous products such as O? and H? can break the electrochemical circuit in microfluidic devices. This article presents an EOP that employs the oxidation/reduction of the conjugated polymer poly(3,4-ethylenedioxythiophene), rather than electrolysis of a solvent, to drive flow in a capillary. Devices made with poly(3,4-ethylenedioxythiophene) electrodes are compared with devices made with Pt electrodes in terms of flow and local pH change at the electrodes. Furthermore, we demonstrate that flow is driven for applied potentials under 2?V, and the electrodes are stable for potentials of at least 100?V. Electrochemically active electrodes like those presented here minimize the disadvantage of integrated EOP in, e.g. lab-on-a-chip applications, and may open new possibilities, especially for battery-powered disposable point-of-care devices.