Stokes flow in a drop evaporating from a liquid subphase

Hanneke Gelderblom, Howard A. Stone, Jacco H. Snoeijer

    Research output: Contribution to journalArticleAcademicpeer-review

    12 Citations (Scopus)
    1 Downloads (Pure)

    Abstract

    The evaporation of a drop from a liquid subphase is investigated. The two liquids are immiscible, and the contact angles between them are given by the Neumann construction. The evaporation of the drop gives rise to flows in both liquids, which are coupled by the continuity of velocity and shear-stress conditions. We derive self-similar solutions to the velocity fields in both liquids close to the three-phase contact line, where the drop geometry can be approximated by a wedge. We focus on the case where Marangoni stresses are negligible, for which the flow field consists of three contributions: flow driven by the evaporative flux from the drop surface, flow induced by the receding motion of the contact line, and an eigenmode flow that is due to the stirring of the fluid in the corner by the large-scale flow in the drop. The eigenmode flow is asymptotically subdominant for all contact angles. The moving contact-line flow dominates when the angle between the liquid drop and the horizontal surface of the liquid subphase is smaller than 90°, while the evaporative-flux driven flow dominates for larger angles. A parametric study is performed to show how the velocity fields in the two liquids depend on the contact angles between the liquids and their viscosity ratio.

    Original languageEnglish
    Article number102102
    JournalPhysics of Fluids
    Volume25
    Issue number10
    DOIs
    Publication statusPublished - 23 Oct 2013

    Fingerprint

    Dive into the research topics of 'Stokes flow in a drop evaporating from a liquid subphase'. Together they form a unique fingerprint.

    Cite this