滴状冷凝中液滴的脉动规律及分形分布模型中相邻两代液滴半径比参数

分析研究了滴状冷凝实验过程中液滴的随机运动行为以及液滴分布的分形特征,发现液滴的运动和分布与接触角及接触角滞后有关.得到了液滴分形分布模型中相邻两代液滴半径比与接触角滞后的关系式,该式计算结果与实验结果十分吻合.实验结果表明,在存在接触角滞后的表面上,液滴以脉动方式长大,导致液滴分布呈离散分代分布,并且,液滴脉动行为还受诱导因素的影响,在较强诱导因素作用的冷凝过程中,液滴分代呈明显的台阶分布;反之,在较弱的诱导条件下,分代特征不明显.液滴受接触角滞后影响而发生的脉动行为还表现为液滴偶然与随机的弹射.在液滴频繁脉动形成分代分布特征的过程中,液滴由接触角为前进角状态脉动到等体积下接触角为平衡角状态的可能性较大.     

随机粗糙表面上剪切变稀流体液滴的沉积过程模拟

采用计算流体力学相场方法模拟了单个剪切变稀非牛顿流体液滴在随机粗糙表面的沉积过程,并分析揭示了随机粗糙表面形貌对液滴运动状态及平衡状态的影响。结果表明,在指定的相同操作条件下,即使在光滑表面,剪切变稀流体液滴比牛顿流体液滴铺展更大且回缩至平衡所需时间更少,不存在二次铺展;剪切变稀流体液滴最大铺展直径随均方根粗糙度Rr与Wenzel粗糙度Wr的增加而略有增加。Wr相同时,随着Rr增大,液滴最终铺展系数减小,高度系数增大,平衡接触面积及接触角有所减小。在Rr相同情况下,随着Wr增大,液滴达到平衡所需时间缩短,平衡接触面积线性增大。     

疏水表面液滴合并弹跳过程的数值模拟

液滴合并弹跳对强化热泵空调系统中的凝结传热及防结霜、除霜等方面均有良好的应用前景。在综合考虑固-液、气-固和气-液表面自由能,重力势能,液滴内部黏性耗散功及表面黏附功的基础上建立了液滴合并及弹跳的分阶段能量模型,并进行了超疏水表面不同半径液滴合并弹跳时的模型模拟与实验验证,得到较好的吻合。基于该模型研究了液滴数量、半径均匀性及不同表面状态对液滴合并弹跳过程的影响规律。结果表明,液滴数量增加时,合并阶段临界接触角由120°减小至105°,半径尺寸均匀性增加时,弹跳阶段临界接触角从140°减小至130°。当表面接触角大于140°时,固液接触系数影响微乎其微。可见,液滴数量的增多及液滴尺寸均匀性的提升有利于合并弹跳过程的发生,固液接触系数对合并弹跳过程的影响程度随表面接触角的增大而减小。     

随机粗糙表面上剪切变稀流体液滴的沉积过程模拟

采用计算流体力学相场方法模拟了单个剪切变稀非牛顿流体液滴在随机粗糙表面的沉积过程,并分析揭示了随机粗糙表面形貌对液滴运动状态及平衡状态的影响。结果表明,在指定的相同操作条件下,即使在光滑表面,剪切变稀流体液滴比牛顿流体液滴铺展更大且回缩至平衡所需时间更少,不存在二次铺展;剪切变稀流体液滴最大铺展直径随均方根粗糙度Rr与Wenzel粗糙度Wr的增加而略有增加。Wr相同时,随着Rr增大,液滴最终铺展系数减小,高度系数增大,平衡接触面积及接触角有所减小。在Rr相同情况下,随着Wr增大,液滴达到平衡所需时间缩短,平衡接触面积线性增大。     

疏水表面结霜初期液滴生长的理论分析

研究了自然对流条件下疏水表面结霜初期冷凝液滴的生长过程, 建立了考虑不凝气影响的液滴传热及生长模型, 分析了表面接触角和冷面温度对液滴生长的影响。结果表明, 液滴生长过程中的主要热阻为液滴内部导热热阻和相界面热阻, 随着表面接触角的增大, 这两个主要热阻均增大, 因此表面疏水性越好, 液滴生长越缓慢;而由于冷凝传热温差随冷面温度降低而增大, 因此冷面温度越低, 液滴生长越快。     

液滴形状法测量纤维接触角的研究

介绍了液滴形状法测量单根纤维接触角的基本原理 ,利用显微镜观察液滴的形状 ,将数据输入根据Young Laplace方程编写的程序中计算出接触角。通过实验验证 ,该法简单可行 ,可以有效的表征 0～ 60°的纤维表面接触角。     

粒状发射药接触角测定条件的优化

为获得较为准确的粒状发射药的表面性能参数,采用接触角测量仪测量了粒状发射药在不同实验操作条件下的接触角,讨论了躺滴法测量发射药接触角操作过程中测试面的选取、测试面的处理方式、所用液滴体积、液滴与发射药测试面的接触时间等因素对接触角测定值的影响。依据实测数据确定了较为稳定的实验操作条件:用磨平的粒状发射药侧面作为接触角测试面,对测试面采用细砂纸打磨后再用丙酮擦拭、晾干的处理方式,所用液滴体积不大于1μL,取液滴与测试面的接触时间为8s时的接触角值作为测试结果。     

引入接触角的滴状冷凝分形传热功当量模型

以Rose模型为基础,引入接触角因素建立单个液滴传热模型,基于液滴在冷凝表面的分形分布特性,考虑接触角对分形维数的影响建立液滴分布函数,进而建立不同接触角表面通用传热模型.采用不同液滴分布模型分别计算求得通过冷凝生长的液滴的分布函数f(r)以及通过合并生长的液滴的分布函数F(r),并将总冷凝传热表示为上述两种方式生长液...     

倾斜微结构疏水表面液滴的滞后特性

倾斜微结构疏水表面液滴的滞后特性包括接触角滞后和滚动角。目前,具有较高精度的微结构疏水表面滚动角模型是以理想液滴形状为计算基础,忽略了重力、接触角滞后以及能垒引起的变形。本文以聚二甲基硅氧烷（PDMS）为基底,制备了方柱状微结构疏水表面,考虑疏水表面微观结构以及液滴大小两方面的因素,研究了倾斜微结构疏水表面液滴的滞后特性。从力和能量的角度对其影响机理进行了分析,通过滚动角理论值与实际值的比较发现,微方柱间距较大时,接触角滞后和能垒对滚动角影响显著,证实了该分析的合理性,为研究更加精确的滚动角模型奠定了理论基础。     

太阳能加热液滴在亲疏水表面"黏-滑"蒸发

实验研究了亲水和疏水表面上太阳能加热去离子水及金纳米流体液滴三相接触线动力学。在亲水和疏水表面滴加2μL去离子水和纳米流体液滴,用一定功率太阳能模拟器照射液滴使其蒸发,期间采用高速摄像机实时记录液滴在不同表面上的蒸发过程。由MATLAB程序处理图像得到液滴在不同表面上蒸发过程中接触角和接触圆直径的动态变化过程。发现液滴接触线在不同亲疏水表面上存在不同运动特性。去离子水液滴在亲水表面上常接触面积模式和常接触角模式依次控制蒸发过程。去离子水液滴在疏水表面上都呈现出“黏-滑”蒸发特性,即液滴先以常接触面积模式蒸发,之后接触线快速滑动,接触线固定后再以常接触面积模式蒸发,依次往复。纳米流体液滴在亲水表面上主要以常接触面积蒸发模式为主,在疏水表面上同样呈现“黏-滑”蒸发特性。从液滴表面能角度出发,对液滴接触线“钉扎”和“去钉扎”过程进行详尽分析,得出基底润湿性和纳米颗粒沉积是影响液滴接触线在表面上运动的重要因素。     

粗糙固体平面上液滴的接触角滞后的简单流体静力学模型

The phenomenon of hysteresis of contact angle is an important topic subject to a long time of argument.A simple hydrostatic model of sessile drops under the gravity in combination with an ideal surface roughness model is used to interpret the process of drop volume increase or decrease of a planar sessile drop and to shed light on the contact angle hysteresis and its relationship with the solid surface roughness. With this model, the advancing and receding contact angles are conceptually explained in terms of equilibrium contact angle and surface roughness only,without invoking the thermodynamic multiplicity. The model is found to be qualitatively consistent to experimental observations on contact angle hysteresis and it suggests a possible way to approach the hysteresis of three-dimensional sessile drops.     

In Situ Study of Simultaneous Adsorption of Surfactant at Model Solid-Liquid and Liquid-Liquid Interfaces Using the Two-Liquid Contact Angle Method

A direct method of in situ investigation of adsorption mechanisms at related solid/liquid and liquid/liquid interfaces is presented, based on the two-liquid-phase contact angle measurement. Using a model system represented by a self-assembled monolayer (SAM) surface/hydrocarbon drop/aqueous surfactant solution, it is shown that the method constitutes a simple way to characterize both the dynamic behavior and equilibrium quantities of adsorption. In addition to the consistency of these results with the usual diffusion controlled models, some interesting phenomena such as structural transitions in the adsorbed layer are clearly evidenced from adsorption kinetics.     

Estimation of contact angles on fibers

A droplet of liquid placed on a flat high-energy solid surface spreads to give a thin film so that no macroscopic droplet shape exists. On a chemically identical solid surface with only the geometry changed to a cylinder, the same droplet can have an equilibrium conformation. When the equilibrium conformation is of a barrel type, the profile of the droplet changes rapidly in curvature as the three-phase contact line is approached and the direct measurement of the contact angle is difficult. This work considers the theoretical profile for barrel-type droplets on cylinders and discusses how the inflection angle in the profile depends on droplet parameters. Experimental results are reported for poly(dimethylsiloxane) oils on a range of fiber surfaces and these are used to estimate the equilibrium contact angle from the inflection angle. The drop radius and volume dependence of the inflection angle is confirmed.     

A statistical comparison of contact angle measurement methods

Contact angles are the characteristic angles made between the surface of a liquid and a solid surface. The measurement of contact angles can be done with multiple methods. However, because there are no reference standards for contact angle measurements, it is difficult to estimate the accuracy of a contact angle measurement method. It is possible to use statistical estimations of the precision and sensitivity of contact angle measurement methods and from this analysis to identify a preferred method. Contact angle measurements made using the Wilhelmy-plate method, a goniometer method, a tilting-plate method, and two automated drop dispensing and imaging methods are compared. Statistical analyses show that the Wilhelmy-plate method provides measurements with the greatest precision and sensitivity and is therefore a preferred contact angle measurement method.     

A new method for the characterisation of the wettability of powders

The wetting characteristics of fine powders play an important role in a variety of processes. The most important way of characterising the wettability of a fluid/fluid/solid system is to measure the contact angle. This paper describes a relatively simple method for the determination of the contact angle on powdery materials. The technique involves the measurement of the dynamic contact angle which is formed when a liquid drop is placed on a horizontal porous surface. On the basis of the measured dynamic contact angle as a function of time an “apparent” static contact angle has been defined, which gives a measure of the wettability of porous solid systems by analogy with the wetting of non-porous solids. Determinations with glass beads and NaCl-powders as the test materials indicate that the measured value depends on the particle size of the powder, the porosity and the temperature. It was concluded that the capillary penetration of the liquid droplet into the porous media itself influences the wetting characteristics.     

Contact Angle Equilibrium on Thin Elastic Solids

A theoretical analysis has been carried out on the system consisting of an axisymmetric sessile drop resting on a thin elastic solid in the presence of gravity. The solid is treated in one case as a thin plate and in the other case as a membrane. The consequences of the variational treatment employed are equations relating to contact angle equilibrium, drop and solid profiles. It is shown that contact angles are not intrinsic surface properties of the phases involved but invoke equally such characteristics as bulk properties of the solid and physical dimensions when the solid in question is deformable.     

On the Predominant Electron-Donicity of Polar Solid Surfaces

The reasons for the predominant electron-donicity of almost all solid polar surfaces and its implications are discussed in this paper. By contact angle or interfacial tension measurements, the electron-accepting as well as the electron-donating properties of polar liquids can be ascertained, through the interplay between their energies of adhesion and cohesion. For the solid-liquid interface, direct interfacial tension measurements are not possible, but indirectly, solid/liquid interfacial tensions of polar systems can be obtained by contact angle measurement. However, as the energy of cohesion of a solid does not influence the contact angle formed by a liquid drop placed upon its surface, one can only measure the solid surface'ks residual polar property, manifested by the energy of adhesion between solid and liquid. This residual polar property is of necessity the dominant component; in most cases this turns out to be its electron donicity. When, by means of contact angle measurements with polar liquids, both electron-accepting and electron-donating potentials are found on a polar solid, it is most likely still partly covered with a polar liquid: usually water. The amount of residual water of hydration of a polar solid follows from its polar (Lewis acid-base) surface tension component (γ^AB). The degree of orientation of the residual water of hydration on a polar solid can be expressed by the ratio of the electron-donating to electron-accepting potentials (γ^⊖/γ^⊕), measured on the hydrated surface.     

Determination of the peripheral contact angle of sessile drops on solids from the rate of evaporation

A method was developed to determine the initial peripheral contact angle of sessile drops on solid surfaces from the rate of drop evaporation for the case where ₁ < 90°. The constant drop contact radius, the initial weight, and the weight decrease with time should be measured at the ambient temperature for this purpose. When water drops are considered, the relative humidity should also be known. The peripheral contact angle so obtained is regarded as the average of all the various contact angles existing along the circumference of the drop. Thus, each determination yields an average result not unduly influenced by irregularities at a given point on the surface. In addition, the error in personal judgment involved in drawing the tangent to the curved drop profile at the point of contact can be eliminated. The application of this method requires the use of the product of the vapor diffusion coefficient with the vapor pressure at the drop surface temperature. This product can be found experimentally by following the evaporation of fully spherical liquid drops.     

On the Predominant Electron-Donicity of Polar Solid Surfaces

The reasons for the predominant electron-donicity of almost all solid polar surfaces and its implications are discussed in this paper. By contact angle or interfacial tension measurements, the electron-accepting as well as the electron-donating properties of polar liquids can be ascertained, through the interplay between their energies of adhesion and cohesion. For the solid-liquid interface, direct interfacial tension measurements are not possible, but indirectly, solid/liquid interfacial tensions of polar systems can be obtained by contact angle measurement. However, as the energy of cohesion of a solid does not influence the contact angle formed by a liquid drop placed upon its surface, one can only measure the solid surface'ks residual polar property, manifested by the energy of adhesion between solid and liquid. This residual polar property is of necessity the dominant component; in most cases this turns out to be its electron donicity. When, by means of contact angle measurements with polar liquids, both electron-accepting and electron-donating potentials are found on a polar solid, it is most likely still partly covered with a polar liquid: usually water. The amount of residual water of hydration of a polar solid follows from its polar (Lewis acid-base) surface tension component (γ^AB). The degree of orientation of the residual water of hydration on a polar solid can be expressed by the ratio of the electron-donating to electron-accepting potentials (γ^?/γ^⊕), measured on the hydrated surface.     

Analysis of evaporating droplets using ellipsoidal cap geometry

The evaporation of small droplets of volatile liquids from solid surfaces depends on whether the initial contact angle is larger or less than 90°. In the latter case, for much of the evaporation time the contact radius remains constant and the contact angle decreases. At equilibrium, the smaller the drop, the more it is possible to neglect gravity and the more the profile is expected to conform to a spherical cap shape. Recently published work suggests that a singular flow progressively develops within the drop during evaporation. This flow might create a pressure gradient and so result in more flattening of the profile as the drop size reduces, in contradiction to expectations based on equilibrium ideas. In either case, it is important to develop methods to quantify confidence in a deduction of elliptical deviations from optically recorded droplet profiles. This paper discusses such methods and illustrates the difficulties that can arise when the drop size changes, but the absolute resolution of the system is fixed. In particular, the difference between local variables, such as contact angle, cap height, and contact diameter, which depend on the precise location of the supporting surface, and global variables such as radii of curvature and eccentricity, is emphasized. The applicability of the ideas developed is not limited to evaporation experiments, but is also relevant to experiments on contact angle variation with drop volume.