How Does the Gibbs Inequality Condition Affect the Stability and Detachment of Floating Spheres from the Free Surface of Water?

Langmuir : the ACS Journal of Surfaces and Colloids
Dong-xia Feng, Anh V Nguyen

Abstract

Floating objects on the air-water interfaces are central to a number of everyday activities, from walking on water by insects to flotation separation of valuable minerals using air bubbles. The available theories show that a fine sphere can float if the force of surface tension and buoyancies can support the sphere at the interface with an apical angle subtended by the circle of contact being larger than the contact angle. Here we show that the pinning of the contact line at the sharp edge, known as the Gibbs inequality condition, also plays a significant role in controlling the stability and detachment of floating spheres. Specifically, we truncated the spheres with different angles and used a force sensor device to measure the force of pushing the truncated spheres from the interface into water. We also developed a theoretical modeling to calculate the pushing force that in combination with experimental results shows different effects of the Gibbs inequality condition on the stability and detachment of the spheres from the water surface. For small angles of truncation, the Gibbs inequality condition does not affect the sphere detachment, and hence the classical theories on the floatability of spheres are valid. For large trun...Continue Reading

References

Aug 9, 2003·Nature·David L HuJohn W M Bush
Nov 18, 2005·Journal of Colloid and Interface Science·Paul A HarveyGeoffrey M Evans
Mar 28, 2007·Langmuir : the ACS Journal of Surfaces and Colloids·Xi-Qiao FengQuan-Shui Zheng
Feb 1, 1948·The Journal of Physical and Colloid Chemistry·K L SUTHERLAND
Jul 4, 2012·Langmuir : the ACS Journal of Surfaces and Colloids·Javed AllyHans-Jürgen Butt
Oct 10, 2015·Canadian Journal of Public Health = Revue Canadienne De Santé Publique·Brenda T PoonCarla M Springinotic

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Citations

Sep 20, 2016·Langmuir : the ACS Journal of Surfaces and Colloids·D GeorgeA K Sen
Dec 14, 2016·Langmuir : the ACS Journal of Surfaces and Colloids·Sergey V Lishchuk, Rammile Ettelaie
Dec 17, 2016·Langmuir : the ACS Journal of Surfaces and Colloids·Dong-Xia Feng, Anh V Nguyen
Feb 1, 2017·Langmuir : the ACS Journal of Surfaces and Colloids·D Z GunesO Breton
Apr 3, 2020·Langmuir : the ACS Journal of Surfaces and Colloids·Shihao DingXiahui Gui
Oct 23, 2019·Langmuir : the ACS Journal of Surfaces and Colloids·Shi-Jie ZhuXue-Li Chen

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