Voinov Oleg V.
Institute of Mechanics of Multiphase Systems, Siberian Branch, Russian Academy of Sciences, Tyumen, 625000, Russia
J Colloid Interface Sci. 2000 Jun 1;226(1):22-28. doi: 10.1006/jcis.2000.6727.
Spreading of a tiny macroscopic droplet of a nonvolatile, completely wetting liquid over a flat solid is considered. A liquid in creeping is subjected to capillary forces and long-range molecular forces. The droplet may be surrounded with a precursor wetting film. This paper deals with the problem of determining of the microscopic parameter that influences the interface shape near the apparent line of wetting; this is regarded as the inverse problem in the hydrodynamics of wetting. If the system includes a precursor film, the microscopic parameter coincides with the maximum thickness of the film. A series of inverse equations for the microparameter is obtained, which relate it to, first, the current geometric parameters of the macroscopic drop part and, second, the spreading time. A method for determining how the microparameter depends on the wetting line speed is proposed. The theory expands the opportunity to perform macroscopic measurements and reveals additional parameters. The inverse relations may be used to experimentally study the growth of the maximum thickness of a precursor film during drop spreading. Copyright 2000 Academic Press.
考虑一种不挥发、完全润湿的液体的微小宏观液滴在平坦固体上的铺展情况。处于蠕动状态的液体受到毛细力和长程分子力作用。液滴可能被一层前驱润湿膜包围。本文探讨了确定影响表观润湿线附近界面形状的微观参数的问题;这被视为润湿流体动力学中的反问题。如果系统包含前驱膜,微观参数与膜的最大厚度一致。得到了一系列关于微观参数的反演方程,这些方程首先将其与宏观液滴部分的当前几何参数相关联,其次与铺展时间相关联。提出了一种确定微观参数如何依赖于润湿线速度的方法。该理论扩展了进行宏观测量的机会,并揭示了额外的参数。这些反演关系可用于通过实验研究液滴铺展过程中前驱膜最大厚度的增长情况。版权所有2000年学术出版社。