Spreading of drops on solid surfaces in a quasi-static regime
Spreading of drops on solid surfaces in a quasi-static regime
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准静态状态下液滴在固体表面上的扩散
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
Y. Shikhmurzaev
中科院分区：
文献类型：
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作者：
Y. Shikhmurzaev
在最近发展起来的三相接触线运动理论的框架内，对液滴与固体边界的相互作用问题进行了研究，并在有限Bond数、小毛细数和Weber数的情况下进行了分析。本文研究了液滴在重力作用下在水平面上和旋转圆盘表面上扩散的准静态状态下自由表面形状的演化。在所考虑的制度中，自由表面形状变形的时间是独立的初始条件下的滴沉积到固体表面上，而三相接触线运动是由相同的方程描述的一般情况下。这一特征使得准静态状态从润湿现象的研究的观点来看是信息丰富和理想的。讨论了润湿实验研究中常用的“球冠近似法”的精度。该理论描述了液滴扩散的“自发”和“强制”状态以及它们之间的过渡。计算结果与实验数据进行了比较。
The problem of interaction of a drop with a solid boundary is formulated in the framework of a recently developed theory of the three-phase contact line motion and analyzed in the case of finite Bond and small capillary and Weber numbers. Evolution of the free-surface shape in a quasi-static regime of the drop spreading under gravity on a horizontal plane and on the surface of a rotating disk is investigated. In the considered regime, the free-surface shape deformation in time is independent of the initial conditions of the drop deposition onto the solid surface, while the three-phase contact-line motion is described by the same equations as in a general case. This feature makes the quasi-static regime informative and desirable from the point of view of investigation of the wetting phenomenon. Accuracy of the so-called “spherical cap approximation’’ often used in experimental studies of wetting is discussed. The theory describes both the “spontaneous” and “forced” regimes of the drop spreading and the transition between them. The results are compared with experimental data.