Department of Materials Science and Engineering, University of Pennsylvania, 3231 Walnut Street, Philadelphia, Pennsylvania 19104, United States.
Langmuir. 2011 Nov 15;27(22):13401-5. doi: 10.1021/la202208x. Epub 2011 Oct 24.
We consider the imbibition of a liquid droplet of finite size on a rough surface and theoretically show that the imbibition dynamics is significantly slower than the familiar Washburn diffusive dynamics, ∼t(0.5). The imbibition does not follow a simple power law. The droplet starts to imbibe with ∼t(0.5) dynamics but progressively becomes slower with time. The slower imbibition is mainly attributed to the finite size of the droplet, resulting in a limited capillary driving force as compared to a steady capillary driving force in the case of imbibition from a steady source.
我们研究了有限大小的液滴在粗糙表面上的浸润过程，并从理论上表明浸润动力学明显慢于熟知的 Washburn 扩散动力学，∼t(0.5)。浸润过程并不遵循简单的幂律关系。液滴开始以∼t(0.5)的动力学浸润，但随着时间的推移逐渐变慢。较慢的浸润主要归因于液滴的有限大小，导致与从稳定源浸润时的稳定毛细驱动力相比，毛细驱动力有限。
