A numerical study of two-phase Stokes flow in an axisymmetric flow-focusing device

Mads Jakob Jensen, H.A. Stone, Henrik Bruus

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    Abstract

    We present a numerical investigation of the time-dependent dynamics of the creation of gas bubbles in an axisymmetric flow-focusing device. The liquid motion is treated as a Stokes flow, and using a generic framework we implement a second-order time-integration scheme and a free-surface model in MATLAB, which interfaces with the finite-element software FEMLAB. We derive scaling laws for the volume of a created bubble and for the gas flow rate, and confirm them numerically. Our results are consistent with existing experimental results by Garstecki et al. [Phys. Rev. Lett. 94, 164501 (2005)], and predict a scaling yet to be observed: the bubble volume scales with the outlet channel radius to the power of 4 and the surface tension. Our axisymmetric simulations further show that the collapse of the gas thread before bubble snap-off is different from the recent experimental results. We suggest that this difference is caused by differences in geometry between experiments and the simulations. ©2006 American Institute of Physics
    Original languageEnglish
    JournalPhysics of Fluids
    Volume18
    Issue number7
    Pages (from-to)077103
    ISSN1070-6631
    DOIs
    Publication statusPublished - 2006

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    Copyright (2006) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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