YOUNGS LAW WITH GRAVITY

被引:35
作者
BLOKHUIS, EM [1 ]
SHILKROT, Y [1 ]
WIDOM, B [1 ]
机构
[1] CORNELL UNIV,BAKER LAB,DEPT CHEM,ITHACA,NY 14853
基金
美国国家科学基金会;
关键词
D O I
10.1080/00268979500102461
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The observation that Young's law for the contact angle of a liquid droplet on a substrate should continue to hold when the droplet is deformed by gravity is to some extent counter-intuitive, which has led to doubts and controversy in the literature. We show, in agreement with others, that Young's law holds in the presence of gravity. First, in a numerical illustration based on the classic tables by Bashforth and Adams, we see that the system's free energy for a fixed droplet volume is indeed at a minimum when, to within the numerical precision, the contact angle is as given by Young's law. We then give a transparent analytical derivation of Young's law by minimizing the free energy as a functional of the droplet shape with gravity included.
引用
收藏
页码:891 / 899
页数:9
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