When a water drop encounters a solid surface, a droplet is formed that consists of a sphere of water sectioned by the surface at a discreet, measurable contact angle. Several literature have been reported on this type of contact angle hysteresis. But everyone considered constant angle for analysis. Is there any paper where dynamic contact angle has been explained?
Hi Santosh,
there is a review on wetting radius and contact angle dynamics:
Snoeijer, J H, and B Andreotti. 2013. “Moving Contact Lines: Scales, Regimes, and Dynamical Transitions.” Ann. Rev. Fluid Mech. 45 (1): 269–92. doi:10.1146/annurev-fluid-011212-140734.
Further:
Karpitschka, S, S Das, B Andreotti, and J H Snoeijer. 2014. “Dynamic Contact Angle of a Soft Solid.” arXiv.org.
On heterogeneous substrates, with theta-V plots:
Rodriguez-Valverde, M A, F J Montes Ruiz-Cabello, and M A Cabrerizo-Vilchez. 2008. “Wetting on Axially-Patterned Heterogeneous Surfaces.” Adv. Colloid. Interface Sci. 138 (2): 84–100. doi:10.1016/j.cis.2007.12.002.
Maybe this is some direction to head into.
TL
These papers might also help:
Ultralow Voltage Irreversible Electrowetting Dynamics of an Aqueous Drop on a Stainless Steel Surface, Yanna Liu, Yu-En Liang, Yu-Jane Sheng, and Heng-Kwong Tsao, Langmuir 2015 31 (13), 3840-3846
DOI: 10.1021/acs.langmuir.5b00411
Electrowetting — From statics to dynamics, Longquan Chen, Elmar Bonaccurso, Advances in Colloid and Interface Science, Volume 210, August 2014, Pages 2-12, ISSN 0001-8686, http://dx.doi.org/10.1016/j.cis.2013.09.007.
You may start with the attached paper which discusses the problem with moving contact lines for two-phase fluids. It also includes the pertaining literature (on the rigorous mathematical analysis as well as computational/numerical work that has been performed in this connection). The link is
https://www.researchgate.net/publication/274194587_CAHN-HILLIARD-NAVIER-STOKES_SYSTEMS_WITH_MOVING_CONTACT_LINES
Article Cahn–Hilliard–Navier–Stokes systems with moving contact lines
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