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The Three Dynamical Regimes of a Droplet Driven by Thermocapillarity

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IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics

Abstract

We study the behaviour of two-dimensional droplets of partially wetting liquids driven by thermocapillary forces. A sessile droplet over a non-uniformly heated surface undergoes a shear stress along the surface of the liquid that moves the droplet from warmer to colder regions. By means of a two-term disjoining pressure model with a single stable energy minimum, we introduce the effect of a non-zero contact angle and two different models are compared. Polar liquids are modelled using London–van der Waals and ionic-electrostatics molecular interactions and, non-polar fluids with long- and short-range molecular forces. The droplet dynamics model is based on the lubrication approximation and the resulting partial differential equation is solved in the Finite Element package COMSOL Multiphysics. As a result of a parametric study on the contact angle, we characterize three different regimes.

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Acknowledgements

The authors gratefully acknowledge the funding supports via the CONICET Grants PIP No. 356 and PIP No. 299, the ANPCyP Grant No. 2012-1707 and CICPBA.

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Correspondence to Mathieu Sellier .

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Mac Intyre, J.R., Gomba, J.M., Perazzo, C.A., Correa, P.G., Sellier, M. (2019). The Three Dynamical Regimes of a Droplet Driven by Thermocapillarity. In: Gutschmidt, S., Hewett, J., Sellier, M. (eds) IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. IUTAM Bookseries, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-030-13720-5_8

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  • DOI: https://doi.org/10.1007/978-3-030-13720-5_8

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