Calculus of Variations

Cassel, Kevin W.

doi:10.1017/cbo9781139136860.004

Variational Methods With Applications in Science and Engineering 2013

DOI: 10.1017/cbo9781139136860.004

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Calculus of Variations

Kevin W. Cassel¹

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2016

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“…The conventional theory considers a straight boundary between the liquid and the vapor regardless of the three-phase contact line location or the droplet size110111220. However, because the realistic contour of a liquid droplet forms part of a sphere21, the assumption does not hold when the droplet size to surface texture scale ratio is small. There have been several studies to overcome the limitations of the conventional wetting theories for the small droplet, based on wetting free energy calculations.…”

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confidence: 99%

Wetting theory for small droplets on textured solid surfaces

Kim

Pugno

Ryu

2016

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Conventional wetting theories on rough surfaces with Wenzel, Cassie-Baxter, and Penetrate modes suggest the possibility of tuning the contact angle by adjusting the surface texture. Despite decades of intensive study, there are still many experimental results that are not well understood because conventional wetting theory, which assumes an infinite droplet size, has been used to explain measurements of finite-sized droplets. Here, we suggest a wetting theory applicable to a wide range of droplet size for the three wetting modes by analyzing the free energy landscape with many local minima originated from the finite size. We find that the conventional theory predicts the contact angle at the global minimum if the droplet size is about 40 times or larger than the characteristic scale of the surface roughness, regardless of wetting modes. Furthermore, we obtain the energy barrier of pinning which can induce the contact angle hysteresis as a function of geometric factors. We validate our theory against experimental results on an anisotropic rough surface. In addition, we discuss the wetting on non-uniformly rough surfaces. Our findings clarify the extent to which the conventional wetting theory is valid and expand the physical understanding of wetting phenomena of small liquid drops on rough surfaces.

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mentioning

confidence: 99%

Wetting theory for small droplets on textured solid surfaces

Kim

Pugno

Ryu

2016

Sci Rep

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Calculus of Variations

Cited by 1 publication

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Wetting theory for small droplets on textured solid surfaces

Wetting theory for small droplets on textured solid surfaces

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