Room-temperature liquid metals such as eutectic gallium-indium (EGaIn) alloys have the potential to realize physically reconfigurable microwave components and circuits. Integrating microfluidic precision control of these liquid conductors with standard microwave board circuits enables a new paradigm of tunability for microwave components. One area that would greatly benefit from passive component agility is impedance-matching networks, where fine tuning the reactance is essential for reconfigurability. We demonstrate a microfluidic-integrated microwave inductor device that employs a high-impedance microstrip trace with three switchable taps to provide inductances of 1.2 nH, 1.9 nH and 2.3 nH at 5 GHz. Precise volumes of liquid metal are dispensed and confined to bridge existing gaps between copper microstrip traces to reconfigure the total length of the narrow trace, providing an effective method to tune the component's inductance.

In electrocoalescence, an electric field is applied to a dispersion of conducting water droplets in a poorly conducting oil to force the droplets to merge in the direction of the field. Electrocoalescence is used in petroleum refining to separate water from crude oil and in droplet-based microfluidics to combine droplets of water in oil and to break emulsions. Using a microfluidic design to generate a two-dimensional (2D) emulsion, we demonstrate that electrocoalescence in an opaque crude oil can be visualized with optical microscopy and studied on an individual droplet basis in a chamber whose height is small enough to make the dispersions two dimensional and transparent. From reconstructions of images of the 2D electrocoalescence, the electrostatic forces driving the droplet merging are calculated in a numerically exact manner and used to predict observed coalescence events. Hence, the direct simulation of the electrocoalescence-driven breakdown of 2D emulsions in microfluidic devices can be envisioned.

Liquid metals such as gallium alloys have a unique potential to enable fully reconfigurable RF electronics. One of the major concerns for liquid-metal electronics is their interaction with solid-metal contacts, which results in unwanted changes to electrical performance and delamination of solid- metal contacts due to atomic diffusion of gallium at the liquid/solid interface. In this paper, we present a solution to this problem through way of liquid-metal/liquid-metal RF connections by implementing Laplace barriers, which control fluid flow and position via pressure-sensitive thresholds to facilitate physical movement of the fluids within the channels. We demonstrate RF switching within the channel systems by fabricating, testing, and modeling a reconfigurable RF microstrip transmission line with integrated Laplace barriers which operates between 0.5-5 GHz. This approach opens the potential for future all-liquid reconfigurable RF electronic circuits where physical connections between solid and liquid metals are minimized or possibly eliminated altogether.

Liquid metals such as gallium alloys have a unique potential to enable fully reconfigurable RF electronics. One of the major drawbacks for liquid-metal electronics is their interaction with solid-metal contacts, which results in unwanted changes to the electrical performance and delamination of solid-metal contacts due to atomic diffusion of gallium at the liquid-solid interface. In this article, we present a solution to this problem, namely, Laplace barriers, which demonstrate reversible liquid-metal-to-liquid-metal RF connections that provide pressure-directed control of the fluids. While the effect of these channel designs provide superior control over the fluid's position, their effect on RF transmission has not been explored, and the inherent trade space between the microfluidic design and RF performance has never been detailed. RF tunability is demonstrated by fabricating, testing, and modeling a reconfigurable RF microstrip transmission line with integrated the Laplace barriers which operates between 0.5 and 5 GHz. The effect of the Laplace barrier length on both fluidic control and RF performance is reported and compared with the extreme example of a tapered line, which is analogous to a single elongated gap between two Laplace barriers. This approach opens the potential for future all-liquid reconfigurable RF electronic circuits where physical connections between solid and liquid metals are minimized or possibly eliminated.

The knowledge of thermodynamic and mass transfer parameters in gas-liquid systems is critical for the design of macroscale units for separation and reaction processes. The phenomenon of shrinkage of Taylor bubbles upon dissolution has the capability of supplying these design parameters, provided a reliable mathematical model is available for data deconvolution. Unfortunately, the existing models in the literature suffer from at least one of the following three major limitations. First, mass transfer between the bulk liquid segment and the surrounding liquid film has been incorrectly estimated. Second, the liquid segment is assumed to be well mixed, even though there is clear evidence of the contrary in the literature [Yang et al., Chem. Eng. Sci., 2017, 169, 106]. Third, an average mass transfer coefficient is assumed to be valid throughout the dissolution process, despite the fact that bubble velocities can change significantly during dissolution. In this work, we have rectified these limitations and developed a detailed model that takes into account the local concentration gradients and the flow profiles, without resorting to the computationally expensive, full numerical simulations of the fluid flow and concentration distribution equations. To validate the model, experiments were carried out in circular, silica capillaries of different radii by generating segmented flow of CO2 in physical solvents, and the diffusivity and the solubility were subsequently extracted with an error of less than 5%. This work can be extended to the study of gas-liquid-solid reactions in the Taylor flow configuration, and applied to the design of catalyst-coated monolithic reactors.

This article discusses boundary integral simulations of dissolving drops flowing through a cylindrical tube for large aspect ratio drops. The dynamics of drop dissolution is determined by three dimensionless parameters: λ, the viscosity of the drop fluid relative to the suspending fluid; Ca, the capillary number defining the ratio of the hydrodynamic force to the interfacial tension force; and k, a dissolution constant based on the velocity of dissolution. For a single dissolving drop, the velocity in the upstream region is greater than the downstream region, and for sufficiently large k, the downstream velocity can be completely reversed, particularly at low Ca. The upstream end of the drop travels faster and experiences greater deformation than the downstream end. The film thickness, δ, between the drop and the tube wall is governed by a delicate balance between dissolution and changes in the outer fluid velocity resulting from a fixed pressure drop across the tube and mass continuity. Therefore, δ, and consequently, the drop average velocity, can increase, decrease or be relatively invariant in time. For two drops flowing in succession, while low Ca drops maintain a nearly constant separation distance during dissolution, at sufficiently large Ca, for all values of k, dissolution increases the separation distance between drops. Under these conditions, the liquid segments between two adjacent drops can no longer be considered as constant volume stirred tanks. These results will guide the choices of geometry and operating parameters that will facilitate the characterization of fast gas-liquid reactions via two-phase segmented flows.

Arrays of probe molecules integrated into a microfluidic cell are utilized as analytical tools to screen the binding interactions of the displayed probes against a target molecule. These assay platforms are useful in enzyme or antibody discovery, clinical diagnostics, and biosensing, as their ultraminiaturized design allows for high sensitivity and reduced consumption of reagents and target. We study here a platform in which the probes are first grafted to microbeads which are then arrayed in the microfluidic cell by capture in a trapping course. We examine a course which consists of V-shaped, half-open enclosures, and study theoretically and experimentally target mass transfer to the surface probes. Target binding is a two step process of diffusion across streamlines which convect the target over the microbead surface, and kinetic conjugation to the surface probes. Finite element simulations are obtained to calculate the target surface concentration as a function of time. For slow convection, large diffusive gradients build around the microbead and the trap, decreasing the overall binding rate. For rapid convection, thin diffusion boundary layers develop along the microbead surface and within the trap, increasing the binding rate to the idealized limit of untrapped microbeads in a channel. Experiments are undertaken using the binding of a target, fluorescently labeled NeutrAvidin, to its binding partner biotin, on the microbead surface. With the simulations as a guide, we identify convective flow rates which minimize diffusion barriers so that the transport rate is only kinetically determined and measure the rate constant.

Diagnostic tools which screen the binding interactions of a protein target against a display of biomolecular probes to identify molecules which bind the target are central to cell proteomic studies, and to diagnostic assays. Here, we study a microfluidic design for screening interactions in which the probe molecules are hosted on microbeads sequestered in wells arranged at the bottom of a microfluidic flow channel. Assays are undertaken by streaming an analyte solution with a fluorescently labelled target through the cell, and identifying the fluorescing beads. Numerical simulations are first constructed for the analyte flow over the microbeads in the well array, and the increase in the target concentration on the microbead surface. The binding profile is expressed as a function of the ratio of the convective to the diffusive transport rates (Peclet number or Pe), and the ratio of the kinetic to the diffusive rates (Damkohler number, Da). For any Pe, as Da becomes small enough, the transport is determined by the intrinsic kinetic binding rate. As Pe increases, a thin concentration boundary layer develops over the top surface of the microbead because of the convective flow, and target binds more rapidly. However, the relatively stagnant layers of liquid in the well provide a diffusion barrier which slows the target transport, and for any Da and Pe the transport is slower than equivalent patches of probes arranged on the channel wall. Experiments are also undertaken at high Pe, using the binding of fluorescently labelled NeutrAvidin as a target to probes of its binding partner, biotin, on the microbead surface. The binding profile is compared to the simulations to measure the kinetic rate constant, and this comparison shows that the transport in the cell is not kinetically limited because of the diffusion barriers created by the stagnant liquid layer in the well. Simulations and experiments on microbeads which are only partially recessed in the well demonstrate an increase in the mass transfer rate as more of the microbead surface intersects the flow and the diffusion limitation due to the stagnant layer of liquid surrounding the bottom part of the microbead is minimized.

Submitted for the DFD11 Meeting of The American Physical Society Experiment and Modeling of Spatially Indexed Microbead Arrays for High-Throughput Screening Applications THOMAS LEARY, CHARLES MALDARELLI, ALEXANDER COUZIS, City College of New York — The development of platforms for multiplexed, high throughput screening of the binding interactions of target biomolecules against a library of potential binding probes enables progress in many areas in medicine and biology. Formats in which probes are linked to microbeads arrayed in a microfluidic channel offer high sensitivity, reduced reagent consumption and are easily parallelized for multiplexed detection. This presentation describes a microfluidically assembled microbead array in which beads are streamed through a channel with an array of wells inscribed in the floor of the channel. The beads are captured in the wells via gravity. We demonstrate that an array of beads displaying different receptors can be assembled in this format, indexed by sequential depostion and used for a prototype assay. Solutions for a two dimensional mass transfer model of the conjugation of the probe to the receptor on the bead surface identify kinetically limited regimes which are used to measure the binding kinetics of the prototype assay. Thomas Leary City College of New York Date submitted: 08 Aug 2011 Electronic form version 1.4