Thin-film fluid flows over microdecorated surfaces: Observation of polygonal hydraulic jumps

Emilie Dressaire, Laurent Courbin, Jérome Crest, Howard A. Stone

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Liquid films flowing over rough substrates are influenced by asperities whose sizes are comparable to the film thickness. We investigate flows driven by jet impact on a regular array of micron-size posts. We show that the topography modifies the size and the shape of the observed hydraulic jumps: in addition to circular jumps, we obtain a variety of stable polygonal shapes. We rationalize our results by considering a leakage flow through the texture and the free-surface flow above it, coupled by an effective slip boundary condition accounting for the symmetry of the texture. This model is in good agreement with our experiments and allows us to account for the interplay between flow properties and roughness parameters, which has applicability in many other thin-film configurations.

Original languageEnglish (US)
Article number194503
JournalPhysical review letters
Volume102
Issue number19
DOIs
StatePublished - May 11 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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