Apparent Contact Angle and Contact Angle Hysteresis on Liquid Infused Surfaces

Semprebon, C.; McHale, G.; Kusumaatmaja, H.

Abstract

We theoretically investigate the apparent contact angle and contact angle hysteresis of a droplet placed on a liquid infused surface. We show that the apparent contact angle is not uniquely defined by material parameters, but also has a dependence on the relative size between the droplet and its surrounding wetting ridge formed by the infusing liquid. We derive a closed form expression for the contact angle in the limit of vanishing wetting ridge, and compute the correction for small but finite ridge, which corresponds to an effective line tension term. We also predict contact angle hysteresis on liquid infused surfaces generated by the pinning of the contact lines by the surface corrugations. Our analytical expressions for both the apparent contact angle and contact angle hysteresis can be interpreted as ‘weighted sums’ between the contact angles of the infusing liquid relative to the droplet and surrounding gas phases, where the weighting coefficients are given by ratios of the fluid surface tensions.

Citation

Semprebon, C., McHale, G., & Kusumaatmaja, H. (2017). Apparent Contact Angle and Contact Angle Hysteresis on Liquid Infused Surfaces. Soft Matter, 13(1), 101-110. https://doi.org/10.1039/c6sm00920d

• Journal Article Type: Article
• Acceptance Date: May 18, 2016
• Online Publication Date: May 18, 2016
• Publication Date: Jan 7, 2017
• Deposit Date: Jun 28, 2016
• Publicly Available Date: May 18, 2017
• Journal: Soft Matter
• Print ISSN: 1744-683X
• Electronic ISSN: 1744-6848
• Publisher: Royal Society of Chemistry
• Peer Reviewed: Peer Reviewed
• Volume: 13
• Issue: 1
• Pages: 101-110
• DOI: https://doi.org/10.1039/c6sm00920d
• Public URL: https://durham-repository.worktribe.com/output/1378716
• Related Public URLs: https://arxiv.org/abs/1604.05362