Flat Solid Substrate Research Articles

Weak-anchoring effects in a thin pinned ridge of nematic liquid crystal.

A theoretical investigation of weak-anchoring effects in a thin two-dimensional pinned static ridge of nematic liquid crystal resting on a flat solid substrate in an atmosphere of passive gas is performed. Specifically, we solve a reduced version of the general system of governing equationsrecently derived by Cousins etal. [Proc. R. Soc. A 478, 20210849 (2022)10.1098/rspa.2021.0849] valid for a symmetric thin ridge under the one-constant approximation of the Frank-Oseen bulk elastic energy with pinned contact lines to determine the shape of the ridge and the behavior of the director within it. Numerical investigations covering a wide range of parameter values indicate that the energetically preferred solutions can be classified in terms of the Jenkins-Barratt-Barbero-Barberi critical thickness into five qualitatively different types of solution. In particular, the theoretical results suggest that anchoring breaking occurs close to the contact lines. The theoretical predictions are supported by the results of physical experiments for a ridge of the nematic 4^{'}-pentyl-4-biphenylcarbonitrile (5CB). In particular, these experiments show that the homeotropic anchoring at the gas-nematic interface is broken close to the contact lines by the stronger rubbed planar anchoring at the nematic-substrate interface. A comparison between the experimental values of and the theoretical predictions for the effective refractive index of the ridge gives a first estimate of the anchoring strength of an interface between air and 5CB to be (9.80±1.12)×10^{-6}Nm^{-1} at a temperature of (22±1.5)^{∘}C.

Effect of surface roughness of solid particles on the regimes and outcomes of their collisions with liquid droplets

The paper presents the experimental research findings for the characteristics of the collisions of liquid droplets with solid particles (as illustrated by distilled water and metal particles) with a variable average roughness. The average roughness range (0.05–39 µm) corresponded to a group of practical applications: heat exchange, treatment, evaporation, fuel systems, etc. The regimes of droplet-particle collisions, as well as the characteristics of secondary liquid fragments, i.e., child droplets, were determined. Interaction regime maps for droplets and particles were constructed. Mathematical equations to describe the boundaries of droplet-particle interaction regimes were obtained. The findings were compared with the characteristics of collisions of liquid droplets with a flat solid substrate made of the same material as the particles with equivalent average roughness. Guidelines were provided for applying the research findings to the development of the technologies of secondary atomization of liquid droplets in applications.

Air entrapment of a neutral drop impacting onto a flat solid surface in electric fields

When a charge neutral drop impacts on a flat solid substrate, a small air bubble is always trapped underneath due to the lubrication pressure coming from the viscous stress in the squeezed air film. Herein we find experimentally and numerically that the process of the air entrapment and the initial contact state of the drop with the substrate can be profoundly altered via an external electric field. In an electric field, the induced electric stresses at the bottom of the drop increase drastically right before the drop contacts the substrate, which acts against the lubrication pressure, resulting in reduced initial contact radius and air bubble size. When the external electric field reaches a critical value, the electrical stress accelerates the flow near the bottom of the drop and generates a conical tip quickly instead of a dimple, resulting in a centre contact and eliminating the air bubble entrapment. Based on the dipole mirror charge model, we find the dimensionless strength of critical electric field scales with the square root of capillary number based on the air viscosity. This scaling law of the critical electric field for eliminating the air bubble entrapment is verified experimentally and numerically. This work may offer a new way to mitigate defects caused by air bubble entrapment for inkjet printing and droplet-based additive manufacturing.

An energy-conservative many-body dissipative particle dynamics model for thermocapillary drop motion

The thermocapillary motion of a drop on a solid substrate is a common phenomenon in daily life and many industrial fields. The motion can be significantly affected by the temperature gradient of the substrate and the properties of the liquid, such as surface tension, viscosity, thermal coefficient, density, and diffusivity. In this study, a numerical model based on modified many-body dissipative particle dynamics was developed to capture correctly the temperature dependence of a fluid. The momentum, thermal diffusivity, viscosity, and surface tension of liquid water at various temperatures ranging from 273 to 373 K were used as examples to verify the proposed model. The results calculated with this model for heat conduction in a liquid–solid system are in good agreement with those calculated with Fourier's law. The approach successfully modeled the thermocapillary motion of a liquid water droplet on a hydrophobic substrate with a temperature gradient. The migration of the droplet on a flat solid substrate was induced by the difference in surface tension due to the temperature gradient. The migration velocity increased with the temperature difference, which is in agreement with the present theoretical analysis and dynamic van der Waals theory. The modified numerical model proposed in this work could be used to study heat and mass transfer across a free interface, such as Marangoni convection in multiphase fluid flow.

Chemical Vapor Deposition of 2D Crystallized g-C3N4 Layered Films

We have developed a technology and for the first time, present here, the fabrication of continuous two-dimensionally crystallized g-C3N4 layered thin films oriented in a hexagonal lattice c-plane on glass and monocrystalline silicon substrates using chemical vapor deposition from a melamine source. Scanning electron microscopy and X-ray diffraction studies revealed that such films with a smooth surface and good crystalline quality as thick as up to 1.2 μm can be formed at a synthesis temperature of 550–625 °C. They are transparent in the visible range and demonstrate intense photoluminescence (PL) at room temperature. It was found that the band gap of the obtained material and its PL spectral range are shifting to the lower energies at high synthesis temperatures. Oriented g-C3N4 layered thin films deposited on flat solid substrates are promising for integrated electronics and optoelectronics.

Leidenfrost levitation of a spherical particle above a liquid bath: Evolution of the vapour-film morphology with particle size

We consider a spherical particle levitating above a liquid bath owing to the Leidenfrost effect, where the vapour of either the bath or sphere forms an insulating film whose pressure supports the sphere’s weight. Starting from a reduced formulation based on a lubrication-type approximation, we use matched asymptotics to describe the morphology of the vapour film assuming that the sphere is small relative to the capillary length (small Bond number) and that the densities of the bath and sphere are comparable. We find that this regime is comprised of two formally infinite sequences of distinguished limits which meet at an accumulation point, the limits being defined by the smallness of an intrinsic evaporation number relative to the Bond number. These sequences of limits reveal a surprisingly intricate evolution of the film morphology with increasing sphere size. Initially, the vapour film transitions from a featureless morphology, where the thickness profile is parabolic, to a neck–bubble morphology, which consists of a uniform pressure bubble bounded by a narrow and much thinner annular neck. Gravity effects then become important in the bubble leading to sequential formation of increasingly smaller neck–bubble pairs near the symmetry axis. This process terminates when the pairs closest to the symmetry axis become indistinguishable and merge. Subsequently, the inner section of that merger transitions into a uniform-thickness film that expands radially, gradually squishing increasingly larger neck–bubble pairs into a region of localised oscillations sandwiched between the uniform film and what remains of the bubble whose radial extent is presently comparable to the uniform film; the neck–bubble pairs farther from the axis remain essentially intact. Ultimately, the uniform film gobbles up the largest outermost bubble, whereby the morphology simplifies to a uniform film bounded by localised oscillations. Overall, the asymptotic analysis describes the continuous evolution of the vapour film from a neck–bubble morphology typical of a Leidenfrost drop levitating above a flat solid substrate to a uniform-film morphology which resembles that in the case of a large liquid drop levitating above a liquid bath.

Evaporation and deposition of inclined colloidal droplets

Colloidal droplets on flat solid substrates commonly leave symmetric ring-like deposits due to coffee-ring flows during evaporation. On inclined substrates, droplet shapes may become asymmetric by gravity. On this basis, it is not clear how their evaporation dynamics and final deposits are changed depending on inclination. Here we explore evaporation and deposition dynamics of colloidal droplets on inclined substrates, mainly by controlling colloidal particle size, substrate inclination, and relative humidity, which are crucial to gravitational intervention and evaporation dynamics. We experimentally investigate two different flows with opposite directions: downward sedimentation flows by gravity (v_s) and upward capillary flows by evaporation (v_c). We find that the competition of two flows determines the formation of final deposits with a flow speed ratio of alpha = v_s/v_c. Notably, for alphall 1, evaporation-driven upward flows overwhelm sedimentation-driven downward flows, resulting in accentuated particle movement towards the top ring, which seems to defy gravitational intervention. We suggest a possible explanation for the flow speed dependence of final deposits in evaporating colloidal droplets. This study offers a framework to understand the intervention of inclination to the formation of final deposits and how to overcome the deposit pattern radial asymmetry, achieving symmetric deposit widths from inclined colloidal droplets.

The dynamics of liquid films, as described by the diffuse-interface model

The dynamics of a thin layer of liquid between a flat solid substrate and an infinitely thick layer of saturated vapor is examined. The liquid and vapor are two phases of the same fluid governed by the diffuse-interface model. The substrate is maintained at a fixed temperature, but in the bulk of the fluid, the temperature is allowed to vary. The slope ε of the liquid/vapor interface is assumed to be small, as is the ratio of its thickness to that of the film. Three asymptotic regimes are identified, depending on the vapor-to-liquid density ratio ρv/ρl. If ρv/ρl ∼ 1 (which implies that the temperature is comparable, but not necessarily close, to the critical value), the evolution of the interface is driven by the vertical flow due to liquid/vapor phase transition, with the horizontal flow being negligible. In the limit ρv/ρl → 0, it is the other way around, and there exists an intermediate regime, ρv/ρl ∼ ε4/3, where the two effects are of the same order. Only the ρv/ρl → 0 limit is mathematically similar to the case of incompressible (Navier–Stokes) liquids, whereas the asymptotic equations governing the other two regimes are of different types.

Interface evolution in phase transformations ruled by nucleation and growth

An analytical model for the evolution of the boundary of the new phase in transformations ruled by nucleation and growth is presented. Both homogeneous and heterogeneous nucleation have been considered: The former includes transformations in 2D and 3D space and the latter nucleation and growth on flat solid substrate. The theory is formulated for the general case of spatially correlated nuclei, arbitrary nucleation rate and power growth law of nuclei. In the case of heterogeneous nucleation, spheroidal nuclei have been assumed and the dependence of the kinetics on contact angle investigated. The validity of the present approach is deemed through comparison with experimental data from literature which also comprise oxide growth by ALD (Atomic Layer Deposition) metal electrodeposition at solid substrate and alloy recrystallization.

A Lipid-Nanopillar-Array-Based Immunosorbent Assay.

Since infectious diseases, particularly viral infections, have threatened human health and caused huge economical losses globally, a rapid, sensitive, and selective virus detection platform is highly demanded. Enzyme-linked immunosorbent assay (ELISA) with flat solid substrates has been dominantly used in detecting whole viruses for its straightforwardness and simplicity in assay protocols, but it often suffers from limited sensitivity, poor quantification range, and a time-consuming assay procedure. Here, a lipid-nanopillar-array-based immunosorbent assay (LNAIA) is developed with a nanopillar-supported lipid bilayer substrate with fluorophore-modified antibodies for rapid, sensitive, and quantitative detection of viruses. 3D nanopillar array structures and fluid antibodies with fluorophores facilitate faster and efficient target binding and rapid fluorophore localization for quick, reliable analysis on binding events with a conventional fluorescence microscopy setup. LNAIA enables quantification of H1N1 virus that targets down to 150 virus particles with 5-orders-of-magnitude dynamic range within 25 min, which cannot be achieved with conventional ELISA platforms.

Pinch-off of a viscous liquid bridge stretched with high Reynolds numbers

In this study a stretching of a viscous liquid bridge formed between two flat solid parallel substrates is investigated experimentally. The stretching of the liquid bridge is caused by the constant acceleration of one moving substrate.The geometry of the liquid bridge is observed using a high-speed video system. It is shown that at large times the radius of the liquid jet follows the dependence R∼t−1/2, typical of fast stretching liquid jets.The pinch-off time of the liquid bridge has been studied earlier in [1] for very viscous liquids and relatively large initial gaps between two substrates. We demonstrate that this scaling is not applicable to the case of relatively low liquid viscosity and initially thin gaps. For such cases, characterized by very high Reynolds numbers, the pinch-off time is scaled well by the capillary time.

Light-Induced Structuring of Photosensitive Polymer Brushes

We investigate light-induced irreversible structuring of surface topographies in poly(3-sulfopropyl methacrylate/potassium salt) (PSPMK) brushes on flat solid substrates prepared by surface-initiat...

A Practical Procedure for Measuring Contact Angles in Wettability Studies by the Sessile Drop Method

ABSTRACTAn old procedure used to carry out a graphical derivation of curves, which is based on the optical properties of plane mirrors, has been adapted for the measurement of the contact angle (θ) formed between a liquid drop and a flat solid substrate in wettability experiments carried out by the so-called “sessile drop” method. The method was tested for mercury on soda-lime glass at room temperature in air as well as for Cusil (Ag-28wt.%Cu) and Incusil-ABA (Ag-27wt.%Cu-12wt.%In-2wt.%Ti) brazing alloys on pressureless-sintered silicon carbide (PLS-SiC) at 850 °C, under a vacuum of 10-4/10-5 Torr. The proposed method is fast, simple and accurate enough from high (∼140°) to relatively low (∼10°) contact angles. Although the proposed method has been tested for metal-ceramic systems, it is of general application, so that it would be useful for any liquid-solid system. The method is applicable for any temperature, pressure and atmospheric experimental conditions employed, as well as for any chemical composition of liquid and solid. It is also useful for both low and high contact angles, as well as for reactive and non-reactive systems, as long as a photograph of a liquid drop resting on a flat solid surface is available for the studied system.

Material-Independent Surface Chemistry beyond Polydopamine Coating.

Various methods have been developed in surface chemistry to control interface properties of a solid material. A selection rule among surface chemistries is compatibility between a surface functionalization tool and a target material. For example, alkanethiol deposition on noble metal surfaces, widely known as the formation of a self-assembled monolayer (SAM), cannot be performed on oxide material surfaces. One must choose organosilane molecules to functionalize oxide surfaces. Thus, the surface chemistry strictly depends on the properties of the surface. Polydopamine coating is now generally accepted as the first toolbox for functionalization of virtually any material surface. Layer-by-layer (LbL) assembly is a widely used method to modify properties of versatile surfaces, including organic materials, metal oxides, and noble metals, along with polydopamine coating. On flat solid substrates, the two chemistries of polydopamine coating and LbL assembly provide similar levels of surface modifications. However, there are additional distinct features in polydopamine. First, polydopamine coating is effective for two- or three-dimensional porous materials such as metal-organic frameworks (MOFs), synthetic polyolefin membranes, and others because small-sized dopamine (MW = 153.18 u) and its oxidized oligomers are readily attached onto narrow-spaced surfaces without exhibiting steric hindrance. In contrast, polymers used in LbL assembly are slow in diffusion because of steric hindrance due to their high molecular weight. Second, it is applicable to structurally nonflat surfaces showing special wettability such as superhydrophobicity or superoleophobicity. Third, a nonconducting, insulating polydopamine layer can be converted to be a conducting layer by pyrolysis. The product after pyrolysis is a N-doped graphene-like material that is useful for graphene or carbon nanotube-containing composites. Fourth, it is a suitable method for engineering the surface properties of various composite materials. The surface properties of participating components in composite materials can be unified by polydopamine coating with a simple one-step process. Fifth, a polydopamine layer exhibits intrinsic chemical reactivity by the presence of catecholquinone moieties and catechol radical species on surfaces. Nucleophiles such as amine and thiolate spontaneously react with the functionalized layer. Applications of polydopamine coating are exponentially growing and include cell culture/patterning, microfluidics, antimicrobial surfaces, tissue engineering, drug delivery systems, photothermal therapy, immobilization of photocatalysts, Li-ion battery membranes, Li-sulfur battery cathode materials, oil/water separation, water detoxification, organocatalysts, membrane separation technologies, carbonization, and others. In this Account, we describe various polydopamine coating methods and then introduce a number of chemical derivatives of dopamine that will open further development of material-independent surface chemistry.

Self-assembly behaviors of graft copolymer structured fluid droplets on flat solid surfaces

The self-assembly behaviors of A-graft-B copolymer structured fluid droplets on a flat solid substrate were studied by using real-space implemented self-consistent field theory, where the long homopolymer chains were employed to fill the air region surrounding the droplet and the “masking” functions were chosen to fit the geometry of the flat solid substrate. It shows that the soft-confined spacing and substrate-surface affinity play important roles to regulate the self-assembly behaviors of polymer fluid droplets on the flat solid substrate. The microphase transition mechanism of the liquid polymer structured fluid droplet was reasonably explained by considering the wetting behaviors.

Effect of the polymer-substrate interactions on crystal nucleation of polymers grafted on a flat solid substrate as studied by molecular simulations

The crystallization behaviors of three types of polymer systems grafted on a flat solid substrate with different grafting densities were investigated by dynamic Monte Carlo simulations. For both of the systems with low and medium grafting densities, nucleation induction period becomes shorter with the increasing polymer-substrate interactions. However, the nucleation mechanisms are different. For the systems with low grafting density, the increase of the attractive interactions results in the enhancement of heterogeneous nucleation process of grafted polymers. For the systems with medium grafting density, the attractive interactions can compensate for the conformational entropy loss induced by the restriction of the substrate, resulting in the increase of local segment density near substrate surface and the improvement of nucleation ability. Meanwhile, nucleation mode changes from intermolecular fringed-micelle nucleation to intramolecular chain-folding nucleation with the increasing interactions. For the systems with high grafting density, crystallization behaviors are almost not affected by polymer-substrate interactions. These findings are helpful to reveal the microscopic mechanism of crystallization behaviors of polymer nanocomposites and the corresponding reinforcement mechanism.

Evaporation of inclined water droplets

When a drop is placed on a flat substrate tilted at an inclined angle, it can be deformed by gravity and its initial contact angle divides into front and rear contact angles by inclination. Here we study on evaporation dynamics of a pure water droplet on a flat solid substrate by controlling substrate inclination and measuring mass and volume changes of an evaporating droplet with time. We find that complete evaporation time of an inclined droplet becomes longer as gravitational influence by inclination becomes stronger. The gravity itself does not change the evaporation dynamics directly, whereas the gravity-induced droplet deformation increases the difference between front and rear angles, which quickens the onset of depinning and consequently reduces the contact radius. This result makes the evaporation rate of an inclined droplet to be slow. This finding would be important to improve understanding on evaporation dynamics of inclined droplets.

Impact of Formulation Properties and Process Parameters on the Dispensing and Depositioning of Drug Nanosuspensions Using Micro-Valve Technology

Flexible manufacturing processes with continuously adjustable dose strengths are considered particularly innovative and interesting for applications in personalized medicine, continuous manufacturing, or early drug development. A piezo-actuated micro-valve has been investigated for the dispensing and depositioning of drug nanosuspensions onto substrates to facilitate the manufacturing of solid oral dosage forms. The investigated micro-valve has been characterized regarding dispensing behavior, mass flow, accuracy, and robustness. The amount of dispensed drug compound during 1 dispensing event could be continuously adjusted from a few micrograms to several milligrams with high accuracy. Fluid properties, dispensing parameters of the micro-valve, and the resulting steady state mass flow could be correlated adequately for low-viscous drug nanosuspensions. High-speed imaging was used to investigate the dispensing behavior of the micro-valve regarding the evolution of the dispensed drug nanosuspension after ejection from the nozzle and the behavior during impact on flat and dry solid substrates. The experimentally determined breakup length of the dispensed liquid jet could be correlated with a semiempirical equation. From image sequences of the jet impact, We-Re phase diagrams could be established, providing a profound understanding and systematic guidance for the controlled depositioning of the entire dispensed drug nanosuspension onto the substrate.

Building high-coverage monolayers of covalently bound magnetic nanoparticles

This work presents an approach for producing a high-coverage single monolayer of magnetic nanoparticles using “click chemistry” between complementarily functionalized nanoparticles and a flat substrate. This method highlights essential aspects of the functionalization scheme for substrate surface and nanoparticles to produce exceptionally high surface coverage without sacrificing selectivity or control over the layer produced. The deposition of one single layer of magnetic particles without agglomeration, over a large area, with a nearly 100% coverage is confirmed by electron microscopy. Spectroscopic techniques, supplemented by computational predictions, are used to interrogate the chemistry of the attachment and to confirm covalent binding, rather than attachment through self-assembly or weak van der Waals bonding. Density functional theory calculations for the surface intermediate of this copper-catalyzed process provide mechanistic insight into the effects of the functionalization scheme on surface coverage. Based on this analysis, it appears that steric limitations of the intermediate structure affect nanoparticle coverage on a flat solid substrate; however, this can be overcome by designing a functionalization scheme in such a way that the copper-based intermediate is formed on the spherical nanoparticles instead. This observation can be carried over to other approaches for creating highly controlled single- or multilayered nanostructures of a wide range of materials to result in high coverage and possibly, conformal filling.

Liquid crystal elastomer strips as soft crawlers

In this paper, we speculate on a possible application of Liquid Crystal Elastomers to the field of soft robotics. In particular, we study a concept for limbless locomotion that is amenable to miniaturisation. For this purpose, we formulate and solve the evolution equations for a strip of nematic elastomer, subject to directional frictional interactions with a flat solid substrate, and cyclically actuated by a spatially uniform, time-periodic stimulus (e.g., temperature change). The presence of frictional forces that are sensitive to the direction of sliding transforms reciprocal, ‘breathing-like’ deformations into directed forward motion. We derive formulas quantifying this motion in the case of distributed friction, by solving a differential inclusion for the displacement field. The simpler case of concentrated frictional interactions at the two ends of the strip is also solved, in order to provide a benchmark to compare the continuously distributed case with a finite-dimensional benchmark. We also provide explicit formulas for the axial force along the crawler body.