Short-Time Dynamics of Partial Wetting

James C. Bird, Shreyas Mandre, and Howard A. Stone
Phys. Rev. Lett. 100, 234501 – Published 11 June 2008

Abstract

When a liquid drop contacts a wettable surface, the liquid spreads over the solid to minimize the total surface energy. The first moments of spreading tend to be rapid. For example, a millimeter-sized water droplet will wet an area having the same diameter as the drop within a millisecond. For perfectly wetting systems, this spreading is inertially dominated. Here we identify that even in the presence of a contact line, the initial wetting is dominated by inertia rather than viscosity. We find that the spreading radius follows a power-law scaling in time where the exponent depends on the equilibrium contact angle. We propose a model, consistent with the experimental results, in which the surface spreading is regulated by the generation of capillary waves.

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  • Received 22 February 2008

DOI:https://doi.org/10.1103/PhysRevLett.100.234501

©2008 American Physical Society

Authors & Affiliations

James C. Bird, Shreyas Mandre, and Howard A. Stone*

  • School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA

  • *has@deas.harvard.edu

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Issue

Vol. 100, Iss. 23 — 13 June 2008

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