The rate of spreading in spin coating
The rate of spreading in spin coating
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DOI：
10.1017/s0022112000008089
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发表时间：
2000-06
影响因子：
3.7
通讯作者：
Stephen K. Wilson;R. Hunt;B. Duffy
中科院分区：
文献类型：
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作者：
Stephen K. Wilson;R. Hunt;B. Duffy
在本文中，我们重新考虑的基本问题的离心驱动的牛顿流体的薄液滴在一个均匀的固体基板上的恒定角速度旋转时，表面张力和移动接触线效应是显着的扩展。我们讨论了一些问题的解析解的情况下，没有表面张力和弱表面张力的渐近极限，以及数值解的情况下，弱，但有限的表面张力，并比较他们对水滴半径演变的预测（在不稳定性开始之前）与Fraysse & Homsy（1994）和Spayed & Homsy（1997）的实验结果进行比较。特别是，我们提供了一个详细的分析描述的无表面张力和弱表面张力的渐近解。我们证明，虽然渐近解确实捕捉到了许多实验结果的定性特征，但只有当弱但有限的表面张力效应被包括在内时，才有可能在不稳定性发生之前滴半径的演变的定量协议。此外，我们还表明，一个固定的和一个特定的可变接触角的条件（或“坦纳定律”）是能够很好地再现实验结果。
In this paper we reconsider the fundamental problem of the centrifugally driven spreading of a thin drop of Newtonian fluid on a uniform solid substrate rotating with constant angular speed when surface-tension and moving-contact-line effects are significant. We discuss analytical solutions to a number of problems in the case of no surface tension and in the asymptotic limit of weak surface tension, as well as numerical solutions in the case of weak but finite surface tension, and compare their predictions for the evolution of the radius of the drop (prior to the onset of instability) with the experimental results of Fraysse & Homsy (1994) and Spaid & Homsy (1997). In particular, we provide a detailed analytical description of the no-surface-tension and weak-surface-tension asymptotic solutions. We demonstrate that, while the asymptotic solutions do indeed capture many of the qualitative features of the experimental results, quantitative agreement for the evolution of the radius of the drop prior to the onset of instability is possible only when weak but finite surface-tension effects are included. Furthermore, we also show that both a fixed- and a specific variable-contact-angle condition (or ‘Tanner law’) are capable of reproducing the experimental results well.