Droplet Transport Research Articles

Control of Water Droplet Transport Using Anodic Porous Alumina with a Wettability Gradient.

Water droplets can spontaneously move on surfaces with a wettability gradient, and such surfaces can be used in various functional devices. In this study, surfaces with a wettability gradient were prepared from anodic porous alumina with different pore arrangement regularities. The evaluation of the water droplet transport distance on the surfaces of the prepared samples showed that the pore arrangement regularity of the anodic porous alumina had no effect on the droplet transport distance. It was also shown that the droplet transport distance was affected by the droplet size and the width of the wettability gradient structure. When two water droplets were formed at both ends of the anodic porous alumina with an increasing gradient of pore diameter from the center to both ends, they moved from the ends toward the center and merged. The method reported in this paper shows that by controlling the pore size of anodic porous alumina, one can fabricate a substrate on which droplets can move in any direction. The anodic porous alumina with a wettability gradient as obtained in this study has potential use for various applications such as microfluidic devices and analytical chips.

Gas–liquid coaxial atomization with swirl in high-pressure environments

We present recent experimental results on the dynamics of atomization of a liquid column by a coaxial turbulent gas jet, under varying air angular momentum (swirl) conditions and densities. We compare between atomization under atmospheric conditions and in a pressurized environment where the atomizing and ambient air density is 5 times the atmospheric level. For both conditions, the parameter space includes a gas-to-liquid momentum ratio in the range of M=25−56 and swirl ratios of SR=0−1. High-speed shadowgraphy images in the spray near-field are used to quantify the spatial and temporal evolution of the liquid–gas interface. In the mid-field, Phase Doppler Interferometry, collected radially across the spray, quantify droplet size, velocity, and number density distributions. At high pressure and with increasing M, we observe a decrease in spray angle when SR=0 but a spray angle increase when SR>0.5 (critical swirl). We reconcile these observations with the crown de-wetting mechanism, first observed in X-ray shadowgraphs of the spray. Crown de-wetting depends on gas inertia relative to the liquid, which increases linearly with atomization environment pressure, leading to this switch in behavior. This mechanism also explains the modified droplet radial distribution in the mid-field, with critical transition from concave to convex-shaped trends in the mean droplet size profile. Finally, we reconstruct the full spray droplet population from radial measurements, showing that swirl not only modifies the transport of droplets in the spray cross-section, but also enhances break-up and reduces the Sauter Mean Diameter globally, for all momentum ratios and pressure conditions tested.

Magnetic-Actuated Jumping of Droplets on Superhydrophobic Grooved Surfaces: A Versatile Strategy for Three-Dimensional Droplet Transportation.

On-demand droplet transportation is of great significance for numerous applications. Although various strategies have been developed for droplet transportation, out-of-surface three-dimensional (3D) transportation of droplets remains challenging. Here, a versatile droplet transportation strategy based on magnetic-actuated jumping (MAJ) of droplets on superhydrophobic grooved surfaces (SHGSs) is presented, which enables 3D, remote, and precise manipulation of droplets even in enclosed narrow spaces. To trigger MAJ, an electromagnetic field is utilized to deform the droplet on the SHGS with the aid of an attached magnetic particle, thereby the droplet acquires excess surface energy. When the electromagnetic field is quickly removed, the excess surface energy is partly converted into kinetic energy, allowing the droplet to jump atop the surface. Through high-speed imaging and numerical simulation, the working mechanism and size matching effect of MAJ are unveiled. It is found that the MAJ behavior can only be observed if the sizes of the droplets and the superhydrophobic grooves are matched, otherwise unwanted entrapment or pinch-off effects would lead to failure of MAJ. A regime diagram which serves as a guideline to design SHGSs for MAJ is proposed. The droplet transportation capacities of MAJ, including in-surface and out-of-surface directional transportation, climbing stairs, and crossing obstacles, are also demonstrated. With the ability to remotely manipulate droplets in enclosed narrow spaces without using any mechanical moving parts, MAJ can be used to design miniaturized fluidic platforms, which exhibit great potential for applications in bioassays, microfluidics, droplet-based switches, and microreactions.

Advanced Fog Harvesting Method by Coupling Plasma and Micro/Nano Materials.

Harvesting fog is a potential and effective way to alleviate the crisis of water resource shortage. A highly efficient and economical fog harvesting method has always been a global and common goal. Here, a promising fog harvesting method by coupling plasma and micro/nano materials is proposed, which can achieve 93% fog collection efficiency with consuming power of only 0.76 W/0.04 m2. The basic method is to utilize nanoparticles to decorate both the discharge electrode and the collecting electrode of the micro/nano electrostatic fog collector. For the discharge electrode, the nanoparticles can achieve an order of magnitude higher electric field strength and a 28.6% decrease in the operating voltage (14 kV decreases to 10 kV). For the collecting electrode, a novel composite structure of hydrophobic/hydrophilic (HB/HL) is proposed. The core advantage is the directional droplet transport at the junction of HB and HL caused by surface tension can adjust the accumulated droplets on the two sides, which avoids the droplet residue and mesh blockage in the general structure. This technology provides an innovative approach for the collection of microdroplets and a new design idea for the fog collector to deal with the water crisis.

Water collection and transportation on superhydrophilic/superhydrophobic bioinspired heterogeneous wettability surface

In recent years, the ability of superhydrophilic/superhydrophobic bioinspired heterogeneous wettability (SSBHW) surfaces to collect freshwater has gained significant attention due to their potential to mitigate water scarcity. Inspired by nature’s creatures, this paper presents an SSBHW surface that can efficiently collect freshwater resources from the atmosphere, drawing inspiration from cactus needles and spider silk spindles. The superhydrophobic (SHO) surface was prepared by wet etching and low surface energy modification on copper surface. Based on the SHO surface, the superhydrophilic (SHI) patterns consisting of spindle-shaped and wedge-shaped were constructed by laser ablation. The prepared SHI pattern was not only trapped airborne droplets but also enabled the directional transport of droplets. To enhance the efficiency of water collection, the smaller spindle-shaped pattern spacing in the SHO region was designed, which help to transport the condensed water quickly towards the SHI region because of the surface energy gradient force. The synergistic effect between the advantages offered by the SHO and SHI surfaces results in a significant improvement in water collection efficiency. The water collection efficiency of the SSBHW surface is 870 mg cm−2 h−1, which is 3.32 and 2.2 times higher than that of the SHI and SHO surfaces, respectively. In addition, the mechanism of enhancement of the moisture harvesting behavior of inhomogeneous wettable surfaces was analyzed. This work provides a new strategy for the study of catchment surfaces, making it an effective solution for obtaining fresh water resources in arid regions.

Handling Nanoparticle Content in Nanocomposite Thin Films Deposited by Misty Plasma Processes through Controlled Flash Boiling Atomization.

Misty plasma processes based on colloidal solutions sprayed into low-pressure plasmas have recently shown great potential for multifunctional thin film deposition. In such processes, nanoparticle accumulation in ring-shaped structures remains the main obstacle to the synthesis of high-quality coatings containing abundant, small-scale, and evenly dispersed nanoparticles. These local buildups appear after a colloidal droplet evaporates from a substrate. Accordingly, controlling the droplets' size in the spray is of key importance to ensure a uniform nanoparticle content in the plasma-deposited nanocomposite film. In this work, it is shown that the use of more volatile solvents produces finer droplets on the substrate, thereby improving nanoparticle dispersion in the matrix. A one-dimensional evaporation model is further developed and used to show that, contrary to what one might expect, this result cannot be attributed to faster evaporation during droplet transport in the low-pressure plasma. Instead, a so-called "flash" boiling atomization mechanism is discussed to support the experimental findings.

Droplet manipulation of smart ferrofluid on covalently grafted slippery surface

Remote manipulation of droplets plays an important role in fields such as energy, bioanalysis and microfluidics. Despite efforts to develop many surfaces that respond to external stimuli for droplet manipulation, not all surfaces are responsive in practical applications, making droplet manipulation difficult to achieve. Manipulating droplets on unresponsive surfaces presents a formidable challenge. Our study unveils a covalently grafted slippery surface (CGSS) that is capable of proficiently manipulating ferrofluid droplets in the presence of a magnetic field. By adjusting the strength of the magnetic field applied, a horizontal CGSS can achieve efficient, long-range, and high-speed droplet transportation. On the tilted CGSS, droplets can be transported and aggregated against gravity. Magnetic field guidance allows for droplets to be programmatically guided along a desired trajectory. This research offers feasible strategies for developing new methods to manipulate droplets, which are anticipated to have significant applications in fields like microfluidics, drug delivery, and intelligent robotics.

A facile dip-coating approach to prepare robust superhydrophobic fabric modified by γ-Fe2O3/epoxy resin/lauric acid for oil/water separation, lossless water transportation, and flame retardancy

A facile approach to prepare superhydrophobic fabric with high adhesive ability towards water droplets was developed via a simple dip-coating method. Immersing the cotton fabric (CF) into the γ-Fe2O3/epoxy resin/lauric acid (FEL) suspension for several minutes, followed by heat curing at 80 °C for 2 h, the superhydrophobic fabric (CF-FEL) was obtained. The quality ratio of γ-Fe2O3 to epoxy resin effect on superhydrophobicity of°F-FEL was discussed. The water contact angle was 156° when 0.15 g γ-Fe2O3 particles were applied. Based on the sticky water adhesion, the CF-FEL could be utilized to realize the transportation of water droplet without mass loss. Meanwhile, due to the capillary force and stagger fibers, the CF-FEL exhibited excellent separation flux and efficiency to separate heavy oil/water mixtures. The mechanical durability of the CF-FEL was also evaluated through tape peeling and rubbing test, which further indicated the feasibility of practical application. Moreover, the CF-FEL showed superior flame retardancy because it inherited the thermal stability property of epoxy resin and γ-Fe2O3 particles. Thus, the prepared CF-FEL is multifunctional and the preparation method is facile and environmentally friendly.

Transforming Auxetic Metamaterials into Superhydrophobic Surfaces

Superhydrophobic materials are often inspired by nature, whereas metamaterials are engineered to have properties not usually occurring naturally. In both, the key to their unique properties is structure. Here, it is shown that a negative Poisson's ratio (auxetic) mechanical metamaterial can transform into a unique superhydrophobic material. When stretched, its surface has the counterintuitive property that it also expands in the orthogonal lateral direction. The change in the solid surface fraction as strain is applied is modeled, and it is shown that it decreases as the space between solid elements of the auxetic lattice expands. This results in a unique dependence of the superhydrophobicity on strain. Experimental models are constructed to illustrate the relationship between different states of strain and superhydrophobicity as the lattice transitions from an auxetic to a conventional structure. The findings offer a new approach to designing superhydrophobic materials for self‐cleaning surfaces, droplet transportation, droplet encapsulation, and oil–water separation.

Dynamic Adaptation Using Deep Reinforcement Learning for Digital Microfluidic Biochips

We describe an exciting new application domain for deep reinforcement learning (RL): droplet routing on digital microfluidic biochips (DMFBs). A DMFB consists of a two-dimensional electrode array, and it manipulates droplets of liquid to automatically execute biochemical protocols for clinical chemistry. However, a major problem with DMFBs is that electrodes can degrade over time. The transportation of droplet transportation over these degraded electrodes can fail, thereby adversely impacting the integrity of the bioassay outcome. We demonstrated that the formulation of droplet transportation as an RL problem enables the training of deep neural network policies that can adapt to the underlying health conditions of electrodes and ensure reliable fluidic operations. We describe an RL-based droplet routing solution that can be used for various sizes of DMFBs. We highlight the reliable execution of an epigenetic bioassay with the RL droplet router on a fabricated DMFB. We show that the use of the RL approach on a simple micro-computer (Raspberry Pi 4) leads to acceptable performance for time-critical bioassays. We present a simulation environment based on the OpenAI Gym Interface for RL-guided droplet routing problems on DMFBs. We present results on our study of electrode degradation using fabricated DMFBs. The study supports the degradation model used in the simulator.

Electric-Field-Induced Selective Directed Transport of Diverse Droplets.

Droplet directional transport is one of the central topics in microfluidics and lab-on-a-chip applications. Selective transport of diverse droplets, particularly in another liquid phase environment with controlled directions, is still challenging. In this work, we propose an electric-field gradient-driven droplet directional transport platform facilitated by a robust lubricant surface. On the platform, we clearly demonstrated a liquid-inherent critical frequency-dominated selective transport of diverse droplets and a driving mechanism transition from electrowetting to liquid dielectrophoresis. Enlightened by the Kelvin-Helmholtz theory, we first realize the directional droplet transport in another liquid phase whenever a permittivity difference exists. Co-transport of multiple droplets and various combinations of droplet types, as well as multifunctional droplet transport modes, are realized based on the presented powerful electric-field gradient-driven platform, overcoming the limitations of the surrounding environment, liquid conductivity, and intrinsic solid-liquid wetting property existing in traditional droplet transport strategies. This work may inspire new applications in liquid separation, multiphase microfluidic manipulation, chemical reagent selection, and so on.

Multi-scale analysis of respiratory droplets transport within the breathing cloud

Infectious diseases are transmitted primarily through pathogen laden droplets commonly exhaled during respiratory events such as breathing, coughing, or sneezing. The transport and evaporation of droplets are governed by the fundamental laws of fluid mechanics and convection-diffusion. From these, analytical models can be created helping in better understanding pathogens transmission from a mechanical perspective. The droplet transport within the humid air breath cloud and the local ventilation are crucial for accurately predicting the droplet fate. Different levels of complexity are possible for modelling the breath cloud, from simple 1D models to complex unsteady 3D simulations including discrete phase models for the droplets simulation. The former are too simple to capture the fluid dynamics of intermittent jets in detail, while the latter are too computationally expensive. The current work presents a novel multi-scale approach where an analytical model of the droplet transport and evaporation is coupled to unsteady CFD simulations of warm humid puffs of exhaled air. The proposed model has the advantage of the accuracy of an analytical model and the computational cost of a relatively standard unsteady CFD simulation, and can be used to predict the trajectory of the exhaled droplets for a variety of respiratory events.

Optimizing anisotropic transport on bioinspired sawtooth surfaces.

Species ranging from butterflies and other insects, to cactuses and lotus plants have evolved to use geometrically patterned surfaces to influence the transport of water droplets. While this phenomenon is well known, an ideal geometry has yet to be discovered. To determine the impact of surface geometry on droplet transport, we have studied the contact angle and droplet motion across anisotropically wetting patterned surfaces. The surface geometries tested were sawtooth patterns with angles (8.62-26.70°) and lengths (0.56-1.67 μm). The droplet contact angles were measured on 45° angled surfaces to simulate the droplet in motion. Velocities were measured using a high-speed camera shooting at 500 frames per second and the tailing edges of the droplets were hand tracked over 18 frames. It was found that travel along the sawtooth ridges is significantly faster than travel against the ridges for geometries with shallow angles. The optimal geometry was determined to be α = 8.62° and b = 1.67 μm and was replicated using nanoimprint lithography using materials with different surface energies. When replicated with acrylate resins and PDMS, the contact angles remained high, regardless of wettability, but we find that the overall velocity and velocity hysteresis depends on the hydrophobicity. More hydrophobic surfaces have overall higher hysteresis. The ability to tune imprinted surfaces to achieve ideal wetting characteristics using geometry will lead to interesting anisotropic material design.

Underwater superoleophobic and magnetic hydrogel for cascade chemical reactions.

Magnetic hydrogels often suffer from low saturation magnetization and poor chemical and mechanical tolerance. Herein, we report magnetic nanoparticles (i.e. Fe3O4) grown in situ in an interpenetrating network containing both physical and covalent crosslinkages, which allowed the development of a high-water-content (∼95 wt%) and chemically (e.g. stable at extreme pH values of 1 and 12) and mechanically (Young's modulus of 550 kPa) stable magnetic hydrogel with high saturation magnetization (85 emu g-1). Moreover, the inherent high water content endowed the magnetic hydrogel with underwater superoleophobicity (OCA 160°), which enabled no-loss transport and mixing of liquid droplets as well as a cascade droplet (microliters) chemical reaction underwater through on-demand application of external magnetic field.

Steering droplets on substrates with plane-wave wettability patterns and deformations.

Motivated by strategies for targeted microfluidic transport of droplets, we investigate how sessile droplets can be steered toward a preferred direction using travelling waves in substrate wettability or deformations of the substrate. To perform our numerical study, we implement the boundary-element method to solve the governing Stokes equations for the fluid flow field inside the moving droplet. In both cases we find two distinct modes of droplet motion. For small wave speed the droplet surfs with a constant velocity on the wave, while beyond a critical wave speed a periodic wobbling motion occurs, the period of which diverges at the transition. These observation can be rationalized by the nonuniform oscillator model and the transition described by a SNIPER bifurcation. For the travelling waves in wettability the mean droplet velocity in the wobbling state decays with the inverse wave speed. In contrast, for travelling-wave deformations of the substrate it is proportional to the wave speed at large speed values since the droplet always has to move up and down. To rationalize this behavior, the nonuniform oscillator model has to be extended. Since the critical wave speed of the bifurcation depends on the droplet radius, this dependence can be used to sort droplets by size.

On-chip droplet analysis and cell spheroid screening by capillary wrapping enabled shape-adaptive ferrofluid transporters.

Non-invasive droplet manipulation with no physical damage to the sample is important for the practical value of manipulation tools in multidisciplinary applications from biochemical analysis and diagnostics to cell engineering. It is a challenge to achieve this for most existing photothermal, electric stimuli, and magnetic field-based technologies. Herein, we present a droplet handling toolbox, the ferrofluid transporter, for non-invasive droplet manipulation in an oil environment. It involves the transport of droplets with high robustness and efficiency owing to low interfacial friction. This capability caters to various scenarios including droplets with varying components and solid cargo. Moreover, we fabricated a droplet array by transporter positioning and achieved droplet gating and sorting for complex manipulation in the droplet array. Benefiting from the ease of scale-up and high biocompatibility, the transporter-based droplet array can serve as a digital microfluidic platform for on-chip droplet-based bioanalysis, cell spheroid culture, and downstream drug screening tests.

Magnetically driven droplet manipulation on a smart surface prepared by electrospinning

Droplet manipulation using a magnetic field has vital applications in nanomaterials synthesis, lab-on-a-chip, and other domains. To address the separation issue between the droplet and the magnetic particle following the manipulation process, electrospinning technology was used to create a thermosensitive surface with changeable hydrophilicity. The droplet manipulation in this investigation could be divided into three steps: Step 1, the iron shot entered the droplet; Step 2, the iron shot carried the droplet forward; Step 3, the iron shot exited the droplet. The experimental findings revealed that a part of the iron shots could carry droplets with varying sizes when a magnetic field was activated. At the same time, droplet manipulation would be difficult employing high velocity iron shot movement or in a low temperature environment. Further investigation revealed two conditions for successful droplet manipulation. Firstly, the diameter of the iron shot had to be large enough to create adequate capillary force. Secondly, the hysteresis force between the droplet and the smart surface changed with the alteration of the hydrophilicity of the smart surface. More experiments indicated that the proposed droplet manipulation approach was also capable of achieving droplet transport on a slope, multi-droplets transport, and multi-droplets synthesis.

Fibrotaxis: gradient-free, spontaneous and controllable droplet motion on soft solids

Most passive droplet transport strategies rely on spatial variations of material properties to drive droplet motion, leading to gradient-based mechanisms with intrinsic length scales that limit the droplet velocity or...

Adjustable oil adhesion on superamphiphobic copper surfaces for controlled oil droplet transport

In this paper, an approach of laser-etched material reduction combined with a chemical method is presented to obtain superamphiphobic copper surfaces with UV resistance, adjustable oil adhesion, and corrosion resistance.

Bionic magnetic superhydrophobic and patterned surfaces for droplet programmable manipulation

Droplet manipulation holds importance across various domains, including microfluidics, bioassays, water harvesting, and transportation. Drawing inspiration from nature, specifically the superhydrophobic surface of lotus leaves and the patterned surface of desert beetles, this research explores the creation of bionic magnetic superhydrophobic and patterned surfaces with programmable manipulation of droplets, including transport, mixing, and single-droplet multiplex dispersion. The surfaces are prepared using a straightforward laser selective etching technique, during which droplets easily bounce off the laser-etched surface, exhibiting low adhesion, whereas they adhere firmly to non-etched areas. The introduction of a magnetic field induces surface deformation, facilitating droplet transport under unbalanced forces on the bionic surface. Further, the feasibility of using patterned surfaces as platforms for chemical microreactions is confirmed through chemical reactions. This study offers insights into the development of functional surfaces and highlights their potential applications in rapid, high-throughput detection.