title: Dynamics of a droplet imbibing on a rough surface.
abstract: We consider the imbibition of a liquid droplet of finite size on a rough surface and theoretically show that the imbibition dynamics is significantly slower than the familiar Washburn diffusive dynamics, ∼t(0.5). The imbibition does not follow a simple power law. The droplet starts to imbibe with ∼t(0.5) dynamics but progressively becomes slower with time. The slower imbibition is mainly attributed to the finite size of the droplet, resulting in a limited capillary driving force as compared to a steady capillary driving force in the case of imbibition from a steady source.
authors: Department of Materials Science and Engineering, University of Pennsylvania, 3231 Walnut Street, Philadelphia, Pennsylvania 19104, United States. chandrad99@gmail.com
authors: Dinesh
authors: D
authors: Chandra
authors: Shu
authors: S
authors: Yang