Abstract
The present study aims at scaling the formation of slug bubbles in flow-focusing microfluidic devices using a high-speed digital camera and a micro particle image velocimetry (μ-PIV) system. Experiments were conducted in two different polymethyl methacrylate square microchannels of respectively 600 × 600 and 400 × 400 μm. N2 bubbles were generated in glycerol–water mixtures with several concentrations of surfactant sodium dodecyl sulfate. The influence of gas and liquid flow rates, the viscosity of the liquid phase and the width of the microchannel on the bubble size were explored. The bubble size was correlated as a function of the width of the microchannel W c, the ratio of the gas/liquid flow rates Q g/Q l and the liquid Reynolds number. During the pinch-off stage, the variation of the minimum width of the gaseous thread W m with the remaining time could be scaled as \( W_{\text{m}} \propto ({\frac{{Q_{\text{g}} }}{{Q_{\text{l}} }}})^{ - 0.15} (T - t)^{1/3} . \) The velocity fields in the liquid phase around the thread, determined by μ-PIV measurements, were obtained around a forming bubble to reveal the role of the liquid phase.
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Abbreviations
- Q g :
-
Gas volumetric flow rate, mm3 s−1
- Q l :
-
Liquid volumetric flow rate, mm3 s−1
- L :
-
Bubble length, μm
- l o :
-
Orifice length between the junction and the exit chamber, μm
- T :
-
Bubble formation period, ms
- t :
-
Time, ms
- u :
-
Average liquid flow velocity, m s−1
- u m :
-
Characteristic two-phase flow velocity, m s−1
- V :
-
Bubble volume, m3
- W c :
-
Microchannel width, μm
- W g :
-
Microchannel width for gas inlet, μm
- W l :
-
Microchannel width for liquid inlet, μm
- W m :
-
Maximum (when the neck radius is greater than the microchannel width) or minimum (when the neck radius is smaller than the microchannel width) width of the gaseous thread, μm
- W o :
-
Width of orifice between the junction and the exit chamber, μm
- W out :
-
Width of out chamber, μm
- μ :
-
Viscosity, mPa s
- ρ :
-
Density, kg m−3
- σ :
-
Surface tension, mN m−1
- θ :
-
Angle between the gas and liquid inducing channel °
- Re :
-
Liquid Reynolds number, (= ρuW c/μ)
- g :
-
Gas
- l :
-
Liquid
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Acknowledgments
The financial support for this project from the National Nature Science Foundation of China (No 20876107), the aid of Opening Project of State Key Laboratory of Chemical Engineering (Grant No SKL-ChE-08B06) and the Program of Introducing Talents of Discipline to Universities (Grant No B06006) are gratefully acknowledged. T. Fu appreciates the financial aid from both the China Scholarship Council and the French Embassy in China.
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Fu, T., Funfschilling, D., Ma, Y. et al. Scaling the formation of slug bubbles in microfluidic flow-focusing devices. Microfluid Nanofluid 8, 467–475 (2010). https://doi.org/10.1007/s10404-009-0471-0
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DOI: https://doi.org/10.1007/s10404-009-0471-0