Packings of monodisperse emulsions in flat microfluidic channels

Ohle Claussen, Stephan Herminghaus, Martin Brinkmann

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In the lateral confinement of a flat microfluidic channel, monodisperse emulsion droplets spontaneously self-organize in a variety of topologically different packings. The explicit construction of mechanically equilibrated arrangements of effectively two-dimensional congruent droplet shapes reveals the existence of multiple mechanical equilibria depending on channel width W, droplet area Ad, and volume fraction φ of the dispersed phase. The corresponding boundaries of local or global stability are summarized in a packing diagram for congruent droplet shapes in terms of the dimensionless channel width w=W/√Ad and φ. In agreement with experimental results, an increasingly strong hysteresis of the transition between single-row and two-row packings is observed during changes of w above a threshold volume fraction of φ∗≃0.813.
Original languageEnglish
Article number061403
JournalPhysical Review E
Issue number6
Publication statusPublished - 6 Jun 2012
Externally publishedYes


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