The combined influence of a rough surface and thin fluid film upon the splashing threshold and splash dynamics of a droplet impacting onto them

Surface roughness can have a critical effect upon the splashing threshold and dynamics of a drop impacting on either a dry or rough solid surface or one coated by a thin fluid film. As most coating applications and spray systems quickly evolve to a state where the droplets impinge upon fluid deposited by preceding droplets, the combined contributions of surface roughness and a pre-deposited thin liquid film of comparable thickness upon droplet impingement dynamics are examined. For comparison, we include results for droplets impacting on a smooth, dry surface and a smooth surface wetted by a thin fluid film. The inclusion of surface roughness considerably lowers the splashing threshold and alters the splashing dynamics such that differences in fluid surface tensions between 20.1 and 72.8 dynes/cm or viscosities between 0.4 and 3.3 cP have little effect.     

Spinodal surface instability of soft elastic thin films

When the thicknesses of thin films reduce to microns or even nanometers, surface energy and surface interaction often play a significant role in their deformation behavior and surface morphology. The spinodal surface instability induced by the van der Waals force in a soft elastic thin film perfectly bonded to a rigid substrate is investigated theoretically using the bifurcation theory of elastic structures. The analytical solution is derived for the critical condition of spinodal surface morphology instability by accounting for the competition of the van der Waals interaction energy, elastic strain energy and surface energy. Detailed examinations on the effect of surface energy, thickness and elastic properties of the film show that the characteristic wavelength of the deformation bifurcation mode depends on the film thickness via an exponential relation, with the power index in the range from 0.749 to 1.0. The theoretical solution has a good agreement with relevant experiment results.     

Spontaneous instability of soft thin films on curved substrates due to van der Waals interaction

The linear bifurcation theory is used to investigate the stability of soft thin films bonded to curved substrates. It is found that such a film can spontaneously lose its stability due to van der Waals or electrostatic interaction when its thickness reduces to the order of microns or nanometers. We first present the generic method for analyzing the surface stability of a thin film interacting with the substrate and then discuss several important geometric configurations with either a positive or negative mean curvature. The critical conditions for the onset of spontaneous instability in these representative examples are established analytically. Besides the surface energy and Poisson's ratio of the thin film, the curvature of the substrate is demonstrated to have a significant influence on the wrinkling behavior of the film. The results suggest that one may fabricate nanopatterns or enhance the surface stability of soft thin films on curved solid surfaces by modulating the mechanical properties of the films and/or such geometrical properties as film thickness and substrate curvature. This study can also help to understand various phenomena associated with surface instability.     

Effect of dopants and interlayers on the growth of thin insulating films

Surface morphologies of thin dielectric films deposited on gallium arsenide substrates are studied by atomic force microscopy (AFM). The quasi-periodic mesostructure with a corrugated configuration is found to form during the deposition process. A special dopant and thin interlayer at the film–substrate interface are used to decrease the surface roughness. The corrugated Si_xN_yO_z–SiO₂ film surface disappears by introducing Se atoms into the subsurface layer of the semiconductor. The root-mean-square roughness and the fractal dimension techniques are used for the numerical characterization of the surface morphologies of thin insulator films.     

纳米MoS2薄膜的浸涂—热解法制备和摩擦学性能研究

用浸涂 -热解法在玻璃基底表面制备了纳米 Mo S2 薄膜 ,利用 X射线光电子能谱仪、X射线粉末衍射仪、原子力显微镜、静 -动摩擦系数测量仪和扫描电子显微镜等仪器研究了薄膜的微观结构、表面形貌和摩擦学性能 ,初步探讨了薄膜的摩擦磨损机制 .结果表明 :浸涂 -热解法制备的 Mo S2 薄膜由近似非晶的纳米微晶组成 ,薄膜均匀、致密 ,表面粗糙度小 ;在室温干摩擦条件下 ,Mo S2 薄膜与 GCr15钢球对摩时显示出良好的抗磨减摩性能 ;当负荷为 1.0 N而滑动速度为 90 mm/ min时 ,其耐磨寿命大于 5 0 0 0次 ,摩擦系数最低可达 0 .12 .磨损表面形貌显微分析表明 :在低速和低负荷下薄膜的磨损机制主要是塑性变形和轻微粘着转移 ,而在较负荷和速度下的主要磨损机制为塑性变形和严重剥落     

The impact of a single drop on a wetted solid surface

 The impact of single drops on a thin liquid film was studied to understand the mechanism of secondary atomisation of sprays colliding on a wetted, cold, solid surface. To span a wide range of conditions various mixtures of water and glycerol were used. The use of Weber number, Ohnesorge number and non-dimensional film thickness to describe the peculiarities of the phenomenon allowed to carry out the experiments under appropriate similarity conditions. The impact of millimetric drops was analysed in detail by photographic means, using both still photography to study impact morphology, and laser sheet visualisation to investigate secondary droplet formation. Two mechanisms of splash were identified, depending essentially on the liquid viscosity (Ohnesorge number), a parameter which appears to play an important role also in defining the splash morphology. A photographic documentation is annexed. The characteristic times of the crown formation, the non-linear evolution of cusps (jet formation) and the surface roughness influence are further discussed. The experimental results allow to propose an empirical correlation for the splashing/deposition limit, for a wide range of conditions, and a comparison to available previous works is presented. The influence of the film thickness and liquid viscosity on the splash is confirmed and quantified. Received: 1 March 1996/Accepted: 12 November 1996     

Beating capillarity in thin film flows

The combination of substrate unevenness and capillarity is known to induce far‐reaching perturbations at the free surface of thin liquid films. These might be undesired and this paper explores the possibility to control the free surface of thin liquid films to give it a prescribed profile by a suitable design of the underlying substrate. This corresponds to the inverse of the widely studied forward problem, which considers the effect of substrate unevenness on a free surface. Assuming that the steady free surface profile can be described by the lubrication approximation, this optimal control problem is shown to be governed by a first‐order partial differential equation, which is solved numerically using the method of characteristics. The proposed method is successfully tested for a range of desired free surface profiles and the domain of existence of a solution to the inverse problem is probed. Expectedly, it is shown that, owing to surface tension, not all free surface profiles can be achieved but in some cases capillarity can be beaten and a prescribed free surface profile obtained. Copyright © 2009 John Wiley & Sons, Ltd.     

等离子体浸没离子注入与沉积合成碳化钛薄膜的摩擦磨损性能研究

将等离子体浸没离子注入与沉积及射频辉光放电技术相结合，在GCr15轴承钢基体表面制备了碳化钛薄膜，考察了注入脉冲宽度和工作气体压力对薄膜性能和化学组成的影响；利用X射线衍射仪(XRD)、维氏硬度计、多功能摩擦磨损试验机和电化学腐蚀试验装置表征了薄膜试样的相组成、显微硬度、摩擦磨损性能和抗腐蚀性能．结果表明，注入脉冲宽度和工作气体压力对薄膜性能及其组成具有显著影响；GCr15钢经改性处理后抗磨性能和抗腐蚀性能显著改善．这是由于基体表面形成了硬质且致密的TiC薄膜改性层所致。     

A Variational Model of Disjoining Pressure: Liquid Film on a Nonplanar Surface

Variational methods have been successfully used in modelling thin liquid films in numerous theoretical studies of wettability. In this article, the variational model of the disjoining pressure is extended to the general case of a two-dimensional solid surface. The Helmholtz free energy functional depends both on the disjoining pressure isotherm and on the shape of the solid surface. The augmented Young–Laplace equation (AYLE) is a nonlinear second-order partial differential equation. A number of solutions describing wetting films on spherical grains have been obtained. In the case of cylindrical films, the phase portrait technique describes the entire variety of mathematically feasible solutions. It turns out that a periodic solution, which would describe wave-like wetting films, does not satisfy Jacobi’s condition of the classical calculus of variations. Therefore, such a solution is nonphysical. The roughness of the solid surface significantly affects liquid film stability. AYLE solutions suggest that film rupture is more likely at a location where the pore-wall surface is most exposed into the pore space, and the curvature is positive.     

A continuum model with microstructures for wave propagation in ultra-thin films

Ultrasonic waves are powerful and popular methods for measuring mechanical properties of solids even at nanoscales. The extraction of material constants from the measured wave data requires the use of a model that can accurately describe the wave motion in the solid. The objective of this paper is to develop a continuum theory with microstructures that can capture the effect of the microstructure or nanostructure in ultra-thin films when waves of short wavelengths are used. This continuum theory is developed from assumed displacement fields for microstructures. Local kinematic variables are introduced to express these local displacements and are subjected to internal continuity conditions. The accuracy of the present theory is verified by comparing the results with those of the lattice model for the thin film. Specifically, dispersion curves for surface wave propagation and wave propagation in a thin film supported by an elastic homogeneous substrate are studied. The inadequacy of the conventional continuum theory is discussed.     

粗糙表面上微液滴的数值模拟

本文使用VOF方法将微液滴在粗糙壁面上的接触现象转化为不可压缩两相流动问题,并对其进行三维数值模拟.选择具有柱形突起和槽道两种微结构的壁面进行模拟.计算了不同粗糙系数时液滴在突起结构表面的静止形态和接触角,计算结果和实验数据吻合得较好.和理论模型进行比较,分析了经典模型的适用范围.对于微槽道结构的壁面,计算给出不同方向测量得到的液滴接触角.实现了液滴在倾斜壁面上滑落过程的模拟.液滴沿斜面下滑时,前进角和后退角的变化存在周期性,这一周期性变化和表面粗糙结构密切相关.     

具有分形结构界面的固体膜/粘滞层/基底层状结构的变形

考虑固体膜/粘滞层/基底结构中粘滞层/基底界面不平整对结构的稳定性,特别是固体薄膜稳定时的褶皱变形产生的影响.考虑自仿射和峰状的粗糙界面.自仿射的粗糙界面由振幅和分形维表征,振幅和分形维越大对结构平衡的影响越大;峰状界面由振幅和平均峰间距表征,振幅越大对结构平衡影响越大,平均峰间距越小对结构平衡影响越大.进而,用有限元方法模拟分析该结构,得到界面平整和不平整两种情况下固体膜面内失稳力.结果表明,粘滞层/基底不平整情况下结构的平衡状态与假设该界面为理想平整面所得的结果有很大不同,在结构尺寸较小的情况下不可假设该界面为理想平整来考察该结构的稳定性.     

Bag breakup of nonturbulent liquid jets in crossflow

An experimental investigation of the bag breakup of round nonturbulent liquid jets in gaseous crossflow at room temperature and pressure is described. Pulsed photography, pulsed shadowgraphy, and high-speed imaging were used to observe the column and surface waves along the liquid jet and the formation and breakup of bags. Measurements included: wavelengths of column and surface waves, jet velocities, the number of bags along the liquid jet, the number of nodes per bag, droplets sizes and velocities, and trajectories of droplets. Present results show that the column waves of a nonturbulent liquid jet in crossflow within bag breakup regime can be explained based on Rayleigh–Taylor instability. The number of nodes per bag affected the breakup mechanism of the bags. Three distinctive sizes of droplets were produced due the breakup of the bag membrane, the ring strings and the ring nodes. The size of the droplets resulting from the breakup of the bag membrane was constant independent of the crossflow Weber number. Finally different trajectories were observed for the three groups of droplets.     

Nonlinear analysis of the surface tension driven breakup of viscoelastic filaments

The surface tension driven breakup of viscoelastic filaments into droplets is qualitatively different from that of Newtonian liquid filaments. Disturbances on filaments of dilute polymer solutions often grow to a configuration consisting of nascent droplets connected by a thin ligament; the breakup time for this configuration is much longer than that predicted by extensions of Rayleigh's linear stability theory. We present here a nonlinear analysis of surface tension driven breakup of viscoelastic filaments using two complementary approaches that given equivalent results: a transient finite element solution and a one-dimensional thin filament approximation. We show that significant nonlinear effects lead to the experimentally-observed nascent droplet-ligament configuration, and we predict the entire evolution of the filament profile. Agreement with available experimental data for profile evolution and breakup of jets of Newtonian fluids and dilute polymer solutions is excellent.     

Experimental characterization of thin films,droplets and rivulets using LED fluorescence

Imaging based on fluorescence has been used in the past to investigate, mostly in a qualitative manner, liquid films occurring in various applications. In the present paper, a simple quantitative experimental setup and the associated calibration procedure are detailed for a configuration involving Rhodamin B or Rhodamin 101 excited with light-emitting diodes (LEDs). The measurement procedure has been first validated for an open-channel flow considering different Reynolds numbers around 550 and has then been applied to the characterization of thin films, isolated droplets and rivulets. Using this technique the film thickness, film velocity and contact angle have been evaluated accurately for a variety of flow conditions.     

粘性基底上溅射薄膜褶皱的边界效应研究

复杂的表面微结构在自然界中普遍存在,它们赋予生物组织优异的物化功能.受此启发,各类仿生结构在工程领域(如微机电系统、能源材料、生物传感等)得到了广泛应用.论文利用磁控溅射技术在粘性的胶体基底上沉积金属铁薄膜,研究了薄膜中自发形成的褶皱结构,重点分析了约束边界和膜厚梯度边界对褶皱形貌的调控效应.实验发现,随着膜厚的增加,...     

Wrinkling of a charged elastic film on a viscous layer

A thin metallic film deposited on a compliant polymeric substrate begins to wrinkle under compression induced in curing process and afterwards cooling of the system. The wrinkle mode depends upon the thin film elasticity, thickness, compressive strain, as well as mechanical properties of the compliant substrate. This paper presents a simple model to study the modulation of the wrinkle mode of thin metallic films bonded on viscous layers in external electric field. During the procedure, linear perturbation analysis was performed for determining the characteristic relation that governs the evolution of the plane-strain wrinkle of the thin films under varying conditions, i.e., the maximally unstable wrinkle mode as a function of the film surface charge, film elasticity and thickness, misfit strain, as well as thickness and viscosity of the viscous layer. It shows that, in proper electric field, thin film may wrinkle subjected to either compression or tension. Therefore, external electric field can be employed to modulate the wrinkle mode of thin films. The present results can be used as the theoretical basis for wrinkling analysis and mode modulation in surface metallic coatings, drying adhesives and paints, and microelectromechanical systems (MEMS), etc.     

硅表面聚苯乙烯自组装超薄膜的制备及摩擦磨损性能研究

研究了苯乙烯 -乙烯基三乙氧基硅烷共聚物在羟基化基片上的自组装行为及聚合物超薄膜的摩擦磨损性能 .结果表明 ,自组装聚合物薄膜的厚度和均匀程度取决于聚合物成膜溶液的浓度 .与空白基底相比 ,自组装膜修饰的基底在低载荷下同钢对摩时的摩擦系数更低 ,耐磨寿命更长 .因此 ,自组装聚合物薄膜可以作为低载荷下硅基材料的减摩抗磨防护层     

Experimental simulation of capillary effect on rough flat surfaces

The movement of the liquid column inside the slit was utilized to experimentally simulate the characteristics of the capillary force per unit length for different rough flat surfaces. The movement of the liquid column was achieved by continuously changing the slit interval. The maximum climb height and contact angle of the liquid column were observed during this process to study the relationship between capillary force and contact surface roughness. Based on the assumption that the microstructures on the rough surfaces are of the same form and continuously and uniformly distributed, it is shown that the capillary force per unit length under homogeneous wetting is independent of the roughness. For heterogeneous wetting, the capillary force per unit length is positively correlated with the roughness. The results also indicate that the appearance of “contact line pinning” is caused by insufficient capillary force along the direction of liquid column movement.     

A parametric study of laser induced thin film spallation

We report parametric studies of elastic wave generation by a pulsed laser and associated spalling of thin surface films by the corresponding high stresses. Two different substrate materials, single crystal Si (100) and fused silica, are considered. Spallation behavior of Al thin films is investigated as a function of substrate thickness, film thickness, laser energy, and various parameters governing the source. Surface displacement due to the stress wave is measured by Michaelson interferometry and used to infer the stresses on the film interface. Consistent with previous studies, the maximum stress in the substrate and at the film/substrate interface increases with increasing laser fluence. For many of the conditions tested, the substrate stress is large enough to damage the Si. Moreover, the maximum interface stress is found to increase with increasing film thickness, but decrease with increasing substrate thickness due to geometric attenuation. Of particular significance is the development of a decompression shock in the fused sillica substrates, which results in very high tensile stresses at the interface. This shock enhances the failure of thin film interfaces, especially in thicker samples.