Bifurcation of droplet flows within capillaries

Jousse, Fabien; Farr, Robert; Link, Darren R.; Fuerstman, Michael J.; Garstecki, Piotr

doi:10.1103/physreve.74.036311

Cited by 76 publications

(109 citation statements)

References 29 publications

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“…9 Similarly in microchannels, the three-dimensional nature of the microfluidic network is often overlooked because bubble/droplet dynamics are generally visualized in a plane. [10][11][12] Rectangular channels are the norm, and the potential offered by more complex flow geometries has for the most part been neglected.…”

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confidence: 99%

Tube geometry can force switchlike transitions in the behavior of propagating bubbles

et al. 2009

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Microscale process engineering requires precise control of bubbles and droplets. We investigate geometry-induced control and find that a centered constriction in the cross section of rectangular tubes can lead to new families of steadily propagating bubbles, which localize in the least-constricted regions of the cross section. Tuning the constriction geometry can cause a switchlike transition from centered to localized bubbles at a critical value of the flow rate: a mechanism for flow-rate-driven bubble control. The accompanying large change in bubble volume could be significant for liquid recovery applications.

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confidence: 99%

Tube geometry can force switchlike transitions in the behavior of propagating bubbles

et al. 2009

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“…It is known that real fluid is very complex, and various dynamical behaviors can be found in real fluid, including asymmetry, vortices, turbulence [22,23], bifurcation [24], and spatiotemporal chaos [25,26]. These phenomena are also components of glottal airflow [27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Chaotic component obscured by strong periodicity in voice production system

Tao

Jiang

2008

Phys. Rev. E

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The effect of glottal aerodynamics in producing the nonlinear characteristics of voice is investigated by comparing the outputs of the asymmetric composite model and the two-mass model. The twomass model assumes the glottal airflow to be laminar, nonviscous, and incompressible. In this model, when the asymmetric factor is decreased from 0.65 to 0.35, only 1:1 and 1:2 modes are detectable. However, with the same parameters, four vibratory modes (1:1, 1:2, 2:4, 2:6) are found in the asymmetric composite model using the Navier-Stokes equations to describe the complex aerodynamics in the glottis. Moreover, the amplitude of the waveform is modulated by a smallamplitude noiselike series. The nonlinear detection method reveals that this noiselike modulation is not random, but rather it is deterministic chaos. This result agrees with the phenomenon often seen in voice, in which the voice signal is strongly periodic but modulated by a small-amplitude chaotic component. The only difference between the two-mass model and the composite model is in their descriptions of glottal airflow. Therefore, the complex aerodynamic characteristics of glottal airflow could be important in generating the nonlinear dynamic behavior of voice production, including bifurcation and a small-amplitude chaotic component obscured by strong periodicity.

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“…This manner of forcing would cause the flow rate at a particular junction to be set by the resistance through the entire parallel arm, so that device feedback can have a pronounced effect, as seen by Barbier et al (2006), even when all components of the system are incompressible. In designing parallel devices for monodisperse foam and emulsion formation, care must be taken to mitigate the downstream effects of bubbles or droplets on flow, especially at channel junctions (see Engl et al 2005;Jousse et al 2006). Feedback, even in parallel systems, need not be simply a liability in the operation of microfluidic devices.…”

Section: Discussionmentioning

confidence: 99%

The role of feedback in microfluidic flow-focusing devices

Sullivan

Stone

2008

Phil. Trans. R. Soc. A.

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A model was developed for the analysis of steady and unsteady bubble generation frequencies in a microfluidic flow-focusing device. In both cases, the generation frequency depends on the downstream influence of bubbles created by the flow-focusing device, which provides a source of feedback. For steady-state generation of bubbles, this feedback explains the relationships among frequency, gas pressure and liquid flow rate in our experiments as well as gives a physical explanation for previously observed frequency relations. The role of feedback is also exploited to explain unsteady behaviour; we develop a numerical model and analytical expressions that agree with experimental measurements.

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Bifurcation of droplet flows within capillaries

Cited by 76 publications

References 29 publications

Tube geometry can force switchlike transitions in the behavior of propagating bubbles

Tube geometry can force switchlike transitions in the behavior of propagating bubbles

Chaotic component obscured by strong periodicity in voice production system

The role of feedback in microfluidic flow-focusing devices

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