Short-time dynamics of partial wetting |
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Authors: | Bird James C Mandre Shreyas Stone Howard A |
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Institution: | School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA. |
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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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