Influence of spatial heterogeneities on spreading dynamics

Savva, Nikos ORCID: https://orcid.org/0000-0003-1549-3154 and Kalliadasis, Serafim 2010. Influence of spatial heterogeneities on spreading dynamics. Journal of Physics: Conference Series 216 (1) , 012017. 10.1088/1742-6596/216/1/012017

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Abstract

Consider the motion of a two-dimensional droplet of a partially wetting fluid over topographical substrates. Assuming that spreading occurs in the Stokes regime, a singular perturbation procedure yields a set of integro-differential equations for the locations of the two droplet fronts. By analyzing these equations, we illustrate a number of intriguing features that are not present when the substrate is flat, such as the existence of multiple equilibria which allows for a hysteresis-like effect on the apparent contact angle. Additionally, we demonstrate a stick-slip behavior of the contact line as it moves along the local variations and the interesting possibility of a relatively brief recession of one of the contact lines.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	IOP Publishing
ISSN:	1742-6596
Last Modified:	20 Oct 2022 08:14
URI:	https://orca.cardiff.ac.uk/id/eprint/27706

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