A new solution for the rotation-driven spreading of a thin fluid film

Lie groups are used to solve the equation governing the flow of a thin liquid film subject to centrifugal spreading and viscous resistance. A new implicit solution is found. It is shown how this relates to the previous known solutions for the spreading of an initially flat film, the steady state and a separable solution. New permissible forms for the film evolution are also studied, including solutions exhibiting finite time blow-up. Near the contact line, where the film height tends to zero, an approximate explicit solution is obtained which may be used to describe a film with any size contact angle.     

往复摩擦下热压镍－二硫化钼复合材料的自润滑性能及其耐磨机理研究

对于含ＭｏＳ２的复合材料在单向滑动摩擦条件下的实用性能，人们已经进行了比较多的研究，然而好多摩擦部件在工程实际中经受的却都是往复摩擦。为了探明热压Ｎｉ－ＭｏＳ２复合材料的自润滑性能及其耐磨机理，在往复摩擦条件下研究了这种材料盘表面和偶件ＧＣｒ１５钢球表面之ＭｏＳ２膜的形成过程与形貌特征，并且利用扫描电子显微镜等观察分析了ＭＯＳ２膜的磨损表面形貌及其微区成分。结果表明，在给定的往复摩擦条件下，对偶双方表面都形成了具有层状结构的ＭｏＳ２润滑膜，这种膜是通过疲劳剥落、转移、粘附与叠压等方式所形成；ＭｏＳ２含量对Ｎｉ－ＭｏＳ２复合材料自润滑性能的影响，主要取决于它是否能够在对偶双方表面形成分布均匀而稳定的润滑膜，含６０％（ｗｔ）ＭｏＳ２的复合材料的自润滑性能最好；Ｎｉ－ＭｏＳ２复合材料的自润滑性是通过其表面ＭｏＳ２膜的连续生成与疲劳剥落，并在偶件表面形成转移膜，使复合材料与金属间的摩擦变成复合材料表面ＭｏＳ２膜与偶件表面ＭｏＳ２膜之间的摩擦所实现。由此可见，Ｎｉ－ＭＯＳ２复合材料是适合在往复摩擦运动场合应用的一种性能良好的自润滑复合材料。     

An investigation into the spreading of a thin liquid drop under gravity on a slowly rotating disk

The axisymmetric spreading of a thin liquid drop under the influence of gravity and rotation is investigated. The effects of the Coriolis force and surface tension are ignored. The Lie group method is used to analyse the non-linear diffusion-convection equation modelling the spreading of the liquid drop under gravity and rotation. A stationary group invariant solution is obtained. The case when rotation is small is considered next. A straightforward perturbation approach is used to determine the effects of the small rotation on the solution given for spreading under gravity only. Over a short period of time no real difference is observed between the approximate solution and the solution for spreading under gravity only. After a long period of time, the approximate solution tends toward a dewetting solution. We find that the approximate solution is valid only in the interval t∈[0,t∗), where t∗ is the time when dewetting takes place. An approximation to t∗ is obtained.     

钢摩擦磨损的概率统计模型

本文根据对钢磨陨表面系统的扫描电子显微镜与俄歇电子能谱仪分析提出了摩擦磨损的概率统计模型,其要点在于将真实接触面积内的接触形式区分为3种,即氧化膜-氧化膜、金属-金属和金属-氧化膜,并且指出每一种接触形式的比率都是随机的,因而都服从概率分布。本文应用概率统计方法推导出了摩擦系数与磨损率的数学表达式。在推导过程中使用了一个“新鲜暴露金属发面”的新概念。理论计算结果与实测值相吻合。     

静压气体球轴承支承球形转子的干扰力矩分析

中心小孔供气单向受载球面气体轴承可以用于球形转子的静平衡测量。对作用于转子上的干扰力矩进行估算是平衡装置设计的重要部分。本在一定假设条件下推导了由粘性剪切应力和气膜支撑力引起的作用于转子上的干扰力矩。干扰力矩以轴承包角、中心气室张角、气膜压力、转子转速、转子旋转轴位置、失中度、转子非球表示。以干扰力矩最小为准则分析了这些参数的影响，结论有助于静平衡装置的优化设计以及对精度的进一步分析。     

含有序孔洞的多孔氧化铝薄膜的力学性能测量和数值模拟

高纯铝箔在特定的溶液下经过电化学阳极氧化腐蚀,可在其表面生成一层多孔的非晶氧化铝层,其孔径分布非常均匀,孔大致呈六方密排布。由于此类薄膜具有规则的纳米级孔径,大的比表面积,良好的自组织排列性,所以其日益受到人们的关注。然而,到目前为止,对于此类薄膜力学性能的研究还很少,所以在一定程度上限制其功能的开发和应用。为了获得此类多孔膜的弹性常数,本文首先由实验出发,通过光力学检测(双光束散斑干涉)的方法得到薄膜拉伸时的整体表观弹性模量。然后对薄膜建立二维有限元模型,运用均匀化理论反推出其基体(无孔结构)的弹性模量,同时考察了不同的基体泊松比对模型整体表观模量的影响,并且用一般有限元方法验证了沿特定方向拉伸时均匀化模型计算的有效性。     

Stability and nonlinear wavy regimes in downward film flows on a corrugated surface

The linear and nonlinear stability of downward viscous film flows on a corrugated surface to freesurface perturbations is analyzed theoretically. The study is performed with the use of an integral approach in ranges of parameters where the calculated results and the corresponding solutions of Navier-Stokes equations (downward wavy flow on a smooth wall and waveless flow along a corrugated surface) are in good agreement. It is demonstrated that, for moderate Reynolds numbers, there is a range of corrugation parameters (amplitude and period) where all linear perturbations of the free surface decay. For high Reynolds numbers, the waveless downward flow is unstable. Various nonlinear wavy regimes induced by varying the corrugation amplitude are determined. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 1, pp. 110–120, January–February, 2007.     

Deformation measurement of conducting polythiophene thin films by an electronic speckle pattern interferometric method

The deformation measurement of electrosynthesized polythiophene (Pth) thin films is difficult because of the small thickness and high flexibility of the specimen. An electronic speckle pattern interferometry (ESPI) method is used to measure the deformation of Pth films of thicknesses in the range of 4–65 μm. Their stres-strain curve are obtained. It is found that the mechanical properties of Pth films are sensitive to the specimen thickness. The tensile strength increases with decreasing thickness of thin film from 10 μm. The influence of the electrochemical synthesis conditions on the mechanical properties of Pth films is also discussed. Project supported by the Basic-Research Foundation of Tsinghua University (JC2000057), and the Visiting Scholar Foundation of Solid Mechanical Key Lab in Tongji University of the Ministry of Education of China. Received 10 September 2001; revision received 9 November 2001.     

Determination of Allura Red and Tartrazine in Food Samples by Sequential Injection Analysis Combined with Voltammetric Detection at Antimony Film Electrode

An antimony film electrode prepared on‐line and installed as part of a sequential injection system, was used as an electrochemical detector to determine azo dyes in food samples. The influence of several flow variables were evaluated using a central composite design. In optimal conditions, the linear range of the calibration curve varied from 1–5 µM, with a limit of detection limit of 0.3 µM. The relative standard deviation of analytical repeatability was <5.0 %.The method was validated by comparing the results obtained with those provided by HPLC; no significant difference were seen.