Obstructed breakup of slender drops in a microfluidic T junction

A. M. Leshansky, S. Afkhami, M. C. Jullien, P. Tabeling

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Abstract

In this Letter we present a theoretical analysis of the droplet breakup with "permanent obstruction" in a microfluidic T junction [M.-C. Jullien et al., Phys. FluidsPHFLE61070-6631 21, 072001 (2009)10.1063/1.3170983]. The proposed theory is based on a simple geometric construction for the interface shape combined with Tanner's law for the local contact angle. The resulting scaling of the droplet deformation with time and capillary number is in excellent agreement with the results of direct numerical simulations and prior experiments. More rigorous analysis based on the lubrication approximation reveals a self-similar behavior analogous to the classical problem of a droplet spreading over a preexisting liquid film.

Original languageEnglish (US)
Article number264502
JournalPhysical Review Letters
Volume108
Issue number26
DOIs
StatePublished - Jun 26 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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