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

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

doi:10.1063/1.2214461

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

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

Research output: Contribution to journal › Journal article › Research › peer-review

811 Downloads (Pure)

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 language	English
Journal	Physics of Fluids
Volume	18
Issue number	7
Pages (from-to)	077103
ISSN	1070-6631
DOIs	https://doi.org/10.1063/1.2214461
Publication status	Published - 2006

Bibliographical note

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.

Access to Document

10.1063/1.2214461

BruusFinal published version, 275 KB

http://link.aip.org/link/?PHFLE6/18/077103/1

OpenUrl availability

Full text

Cite this

@article{456c1ba972db49759920c0fbbb54fd54,

title = "A numerical study of two-phase Stokes flow in an axisymmetric flow-focusing device",

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. {\textcopyright}2006 American Institute of Physics",

author = "Jensen, {Mads Jakob} and H.A. Stone and Henrik Bruus",

note = "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.",

year = "2006",

doi = "10.1063/1.2214461",

language = "English",

volume = "18",

pages = "077103",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "7",

}

TY - JOUR

T1 - A numerical study of two-phase Stokes flow in an axisymmetric flow-focusing device

AU - Jensen, Mads Jakob

AU - Stone, H.A.

AU - Bruus, Henrik

N1 - 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.

PY - 2006

Y1 - 2006

N2 - 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

AB - 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

U2 - 10.1063/1.2214461

DO - 10.1063/1.2214461

M3 - Journal article

SN - 1070-6631

VL - 18

SP - 077103

JO - Physics of Fluids

JF - Physics of Fluids

IS - 7

ER -

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

Abstract

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this