%0 Journal Article %1 citeulike:7754381 %A Jensen, Mads J. %A Stone, Howard A. %A Bruus, Henrik %D 2006 %J Physics of Fluids %K 76t10-liquid-gas-two-phase-flows-bubbly-flows 76m10-finite-element-methods-in-fluid-mechanics 76d07-stokes-and-related-oseen-etc-flows %N 7 %P 077103+ %R 10.1063/1.2214461 %T A Numerical Study of Two-Phase Stokes Flow in an Axisymmetric Flow-Focusing Device %U http://dx.doi.org/10.1063/1.2214461 %V 18 %X 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.

@article{citeulike:7754381, 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.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Jensen, Mads J. and Stone, Howard A. and Bruus, Henrik}, biburl = {https://www.bibsonomy.org/bibtex/2c6db4fe685281c9b99c77592c73ffd93/gdmcbain}, citeulike-article-id = {7754381}, citeulike-attachment-1 = {jensen_06_numerical.pdf; /pdf/user/gdmcbain/article/7754381/538062/jensen_06_numerical.pdf; 68ba9fbafef2274a1258517cad28811e38abc819}, citeulike-linkout-0 = {http://dx.doi.org/10.1063/1.2214461}, comment = {(private-note)circulated by SGM 2010-09-01}, doi = {10.1063/1.2214461}, file = {jensen_06_numerical.pdf}, interhash = {dec86080293b6da8256331e0f129bc4a}, intrahash = {c6db4fe685281c9b99c77592c73ffd93}, issn = {10706631}, journal = {Physics of Fluids}, keywords = {76t10-liquid-gas-two-phase-flows-bubbly-flows 76m10-finite-element-methods-in-fluid-mechanics 76d07-stokes-and-related-oseen-etc-flows}, number = 7, pages = {077103+}, posted-at = {2010-09-02 02:21:26}, priority = {2}, timestamp = {2019-02-28T23:44:48.000+0100}, title = {A Numerical Study of Two-Phase {S}tokes Flow in an Axisymmetric Flow-Focusing Device}, url = {http://dx.doi.org/10.1063/1.2214461}, volume = 18, year = 2006 }