Breakup dynamics of bubbles stabilized by nanoparticles with permanent obstruction in a microfluidic Y-junction

doi:10.11949/0438-1157.20210863

Abstract

Abstract:

The breakup dynamic of bubbles stabilized by nanoparticles for the breakup process of permanent obstruction in a microfluidic Y-junction was studied. The breakup process can be divided into squeezing stage and pinch-off stage. In these two stages, the dimensionless minimum neck widths of bubbles have different power-law relationships with time. The neck dynamics of bubble breakup process shows that the particles do not affect the critical neck width for transition between the squeezing stage and pinch-off stage. But the particle layer absorbed on the bubble surface could weaken the squeeze effect of continuous phase on the neck in the squeezing stage and the extrusion effect of liquid reflux on bubbles in the corner area in the pinch-off stage, accordingly hinders the deformation of the bubble neck and prolongs the duration of bubble breakup. The pre-exponential factor m and power-law index α of bubble stabilized by particles are lower than those of ordinary bubble, nevertheless, their deviations decrease with the increase of capillary number Ca and bubble length l₀, indicating that the influence of particles on the breakup process weakens gradually. In addition, the curvature of bubble tip stabilized particles is slightly smaller than that of ordinary bubble, indicating that the effect of particles on bubble tip dynamics of the permanent obstruction process is ignorable.

Key words: microfluidics, nanoparticles, breakup, bubbles, Y-junction

摘要：

研究了Y型微通道吸附型纳米颗粒稳定气泡的完全阻塞破裂的动力学，破裂过程可划分为挤压阶段和快速夹断阶段，两阶段内无量纲气泡最小颈部宽度与时间均呈幂率关系。气泡破裂过程的颈部动力学表明颗粒的存在并不影响两阶段转变的临界颈部宽度，但吸附在气泡表面的颗粒层会减弱挤压阶段中连续相对气泡颈部的挤压作用，以及快速夹断阶段角区中连续相液体回流对气泡的挤压作用，进而阻碍气泡颈部的形变，延长了气泡的破裂过程。纳米颗粒稳定的气泡的指前因子m及幂率指数α均小于常规气泡，但其差值随着毛细管数Ca和气泡长度l₀的增大而减小，颗粒对气泡破裂过程的影响逐渐减弱。此外，纳米颗粒稳定的气泡的头部曲率略小于常规气泡，颗粒对完全阻塞破裂过程气泡头部动力学的影响可以忽略。

关键词: 微流控, 纳米颗粒, 破裂, 气泡, Y型微通道

CLC Number:

TQ 021.1

Yingjie FEI, Chunying ZHU, Taotao FU, Xiqun GAO, Youguang MA. Breakup dynamics of bubbles stabilized by nanoparticles with permanent obstruction in a microfluidic Y-junction[J]. CIESC Journal, 2022, 73(1): 213-221.

费滢洁, 朱春英, 付涛涛, 高习群, 马友光. Y型微通道内纳米颗粒稳定气泡的完全阻塞破裂动力学[J]. 化工学报, 2022, 73(1): 213-221.

Figures/Tables 9

Fig.1 Schematic diagram of the microfluidic device

Fig.2 Schematic diagram of experimental setup

Fig.3 Parameters to characterize the breakup process of the bubble

Fig.4 The process of bubble breakup at the Y-junction (Qc = 2.5 ml·min-1，Qd = 0.8 ml·min-1)

Fig.5 Power-law relationship between minimum neck width and time for bubble breakup with permanent obstruction (Qc = 2.5 ml·min-1，Qd = 0.8 ml·min-1)

Fig.6 The evaluation of bubble tip curvature (Qd = 0.8 ml·min-1)■,□ Qc = 2.5 ml·min-1, breakup with permanent obstruction; ●,○ Qc = 3 ml·min-1, breakup with partial obstruction; hollow symbols for original bubbles, solid symbols for hardening bubbles

Fig.7 Minimum width of the neck versus the dimensionless time (hollow symbols for original bubbles, solid symbols for hardening bubbles)

Fig.8 The variation of pre-exponential factor m1 and power-law exponent α1 with Ca and l0 in squeezing stage (hollow symbols for original bubbles, solid symbols for hardening bubbles)

Fig.9 The variation of pre-exponential factor m2 and power-law exponent α2 with Ca and l0 in pinch-off stage (hollow symbols for original bubbles, solid symbols for hardening bubbles)

References 33

1	陈光文, 袁权. 微化工技术[J]. 化工学报, 2003, 54(4): 427-439.
	Chen G W, Yuan Q. Micro-chemical technology[J]. Journal of Chemical Industry and Engineering (China), 2003, 54(4): 427-439.
2	Kashid M, Renken A, Kiwi-Minsker L. Mixing efficiency and energy consumption for five generic microchannel designs[J]. Chemical Engineering Journal, 2011, 167(2/3): 436-443.
3	程曜峰, 张丽娟, 张炜, 等. 微萃取器在多粘菌素B萃取工艺中的应用[J]. 化学工业与工程, 2021, 38(2): 55-60.
	Cheng Y F, Zhang L J, Zhang W, et al. Application of microextractor in polymyxin B extraction process[J]. Chemical Industry and Engineering, 2021, 38(2): 55-60.
4	王彦, 王靖涛. 微流控技术制备聚酰胺微胶囊的工艺研究[J]. 化学工业与工程, 2018, 35(6): 20-25.
	Wang Y, Wang J T. Preparation of polyamide microcapsules based on microfluidics[J]. Chemical Industry and Engineering, 2018, 35(6): 20-25.
5	Günther A, Jensen K F. Multiphase microfluidics: from flow characteristics to chemical and materials synthesis[J]. Lab on a Chip, 2006, 6(12): 1487-1503.
6	du Toit H, MacDonald T J, Huang H, et al. Continuous flow synthesis of citrate capped gold nanoparticles using UV induced nucleation[J]. RSC Advances, 2017, 7(16): 9632-9638.
7	崔永晋, 李严凯, 王凯, 等. 微分散设备数量放大方式研究进展[J]. 化工学报, 2020, 71(10): 4350-4364.
	Cui Y J, Li Y K, Wang K, et al. Recent advances of numbering-up technology of micro-dispersion devices[J]. CIESC Journal, 2020, 71(10): 4350-4364.
8	Tetradis-Meris G, Rossetti D, Pulido de Torres C, et al. Novel parallel integration of microfluidic device network for emulsion formation[J]. Industrial & Engineering Chemistry Research, 2009, 48(19): 8881-8889.
9	Link D R, Anna S L, Weitz D A, et al. Geometrically mediated breakup of drops in microfluidic devices[J]. Physical Review Letters, 2004, 92(5): 054503.
10	Fu T T, Ma Y G, Funfschilling D, et al. Dynamics of bubble breakup in a microfluidic T-junction divergence[J]. Chemical Engineering Science, 2011, 66(18): 4184-4195.
11	Wang X D, Zhu C Y, Fu T T, et al. Critical lengths for the transition of bubble breakup in microfluidic T-junctions[J]. Chemical Engineering Science, 2014, 111: 244-254.
12	Leshansky A M, Afkhami S, Jullien M C, et al. Obstructed breakup of slender drops in a microfluidic T junction[J]. Physical Review Letters, 2012, 108(26): 264502.
13	Hoang D A, Portela L M, Kleijn C R, et al. Dynamics of droplet breakup in a T-junction[J]. Journal of Fluid Mechanics, 2013, 717: R4.
14	Yamada M, Doi S, Maenaka H, et al. Hydrodynamic control of droplet division in bifurcating microchannel and its application to particle synthesis[J]. Journal of Colloid and Interface Science, 2008, 321(2): 401-407.
15	Liang D, Ma R, Fu T T, et al. Dynamics and formation of alternating droplets under magnetic field at a T-junction[J]. Chemical Engineering Science, 2019, 200: 248-256.
16	Dubash N, Mestel A J. Breakup behavior of a conducting drop suspended in a viscous fluid subject to an electric field[J]. Physics of Fluids, 2007, 19(7): 072101.
17	Lang L Y, Li H B, Wang X, et al. Experimental study and field demonstration of air-foam flooding for heavy oil EOR[J]. Journal of Petroleum Science and Engineering, 2020, 185: 106659.
18	Andersons J, Kirpluks M, Cabulis P, et al. Bio-based rigid high-density polyurethane foams as a structural thermal break material[J]. Construction and Building Materials, 2020, 260: 120471.
19	Godefroidt T, Ooms N, Pareyt B, et al. Ingredient functionality during foam-type cake making: a review[J]. Comprehensive Reviews in Food Science and Food Safety, 2019, 18(5): 1550-1562.
20	Aichele J, Giammarinaro B, Reinwald M, et al. Capturing the shear and secondary compression waves: high-frame-rate ultrasound imaging in saturated foams[J]. Physical Review Letters, 2019, 123(14): 148001.
21	Zhao Y J, Jones S A, Brown M B. Dynamic foams in topical drug delivery[J]. Journal of Pharmacy and Pharmacology, 2010, 62(6): 678-684.
22	Binks B P, Horozov T S. Aqueous foams stabilized solely by silica nanoparticles[J]. Angewandte Chemie International Edition, 2005, 44(24): 3722-3725.
23	Ravera F, Santini E, Loglio G, et al. Effect of nanoparticles on the interfacial properties of liquid/liquid and liquid/air surface layers[J]. The Journal of Physical Chemistry. B, 2006, 110(39): 19543-19551.
24	Binks B P, Kirkland M, Rodrigues J A. Origin of stabilisation of aqueous foams in nanoparticle-surfactant mixtures[J]. Soft Matter, 2008, 4(12): 2373.
25	van Steijn V, Kleijn C R, Kreutzer M T. Flows around confined bubbles and their importance in triggering pinch-off[J]. Physical Review Letters, 2009, 103(21): 214501.
26	Jullien M C, Tsang Mui Ching M J, Cohen C, et al. Droplet breakup in microfluidic T-junctions at small capillary numbers[J]. Physics of Fluids, 2009, 21(7): 072001.
27	Garstecki P, Fuerstman M J, Stone H A, et al. Formation of droplets and bubbles in a microfluidic T-junction-scaling and mechanism of break-up[J]. Lab on a Chip, 2006, 6(3): 437-446.
28	Fei W J, Gu Y, Bishop K J M. Active colloidal particles at fluid-fluid interfaces[J]. Current Opinion in Colloid & Interface Science, 2017, 32: 57-68.
29	Fei Y J, Zhu C Y, Fu T T, et al. The breakup dynamics of bubbles stabilized by nanoparticles in a microfluidic Y-junction[J]. Chemical Engineering Science, 2021, 245: 116867.
30	Wu Y N, Wang R Y, Dai C L, et al. Precisely tailoring bubble morphology in microchannel by nanoparticles self-assembly[J]. Industrial & Engineering Chemistry Research, 2019, 58(9): 3707-3713.
31	Burton J C, Waldrep R, Taborek P. Scaling and instabilities in bubble pinch-off[J]. Physical Review Letters, 2005, 94(18): 184502.
32	Eggers J, Fontelos M A, Leppinen D, et al. Theory of the collapsing axisymmetric cavity[J]. Physical Review Letters, 2007, 98(9): 094502.
33	Du W, Fu T T, Zhang Q D, et al. Self-similar breakup of viscoelastic thread for droplet formation in flow-focusing devices[J]. AIChE Journal, 2017, 63(11): 5196-5206.

[1]	Rubin ZENG, Zhongjie SHEN, Qinfeng LIANG, Jianliang XU, Zhenghua DAI, Haifeng LIU. Study of the sintering mechanism of Fe₂O₃ nanoparticles based on molecular dynamics simulation [J]. CIESC Journal, 2023, 74(8): 3353-3365.
[2]	Xuanzhi HE, Yongqing HE, Guiye WEN, Feng JIAO. Ferrofluid droplet neck self-similar breakup behavior [J]. CIESC Journal, 2023, 74(7): 2889-2897.
[3]	Yong LI, Jiaqi GAO, Chao DU, Yali ZHAO, Boqiong LI, Qianqian SHEN, Husheng JIA, Jinbo XUE. Construction of Ni@C@TiO₂ core-shell dual-heterojunctions for advanced photo-thermal catalytic hydrogen generation [J]. CIESC Journal, 2023, 74(6): 2458-2467.
[4]	Juhui CHEN, Qian ZHANG, Lingfeng SHU, Dan LI, Xin XU, Xiaogang LIU, Chenxi ZHAO, Xifeng CAO. Study on flow characteristics of nanoparticles in a rotating fluidized bed based on DEM method [J]. CIESC Journal, 2023, 74(6): 2374-2381.
[5]	Lu DENG, Xiaojie JU, Wenjie ZHANG, Rui XIE, Wei WANG, Zhuang LIU, Dawei PAN, Liangyin CHU. Controllable preparation of radioactive chitosan embolic microspheres by microfluidic method [J]. CIESC Journal, 2023, 74(4): 1781-1794.
[6]	Xintong HUANG, Yuhao GENG, Hengyuan LIU, Zhuo CHEN, Jianhong XU. Research progress on new functional nanoparticles prepared by microfluidic technology [J]. CIESC Journal, 2023, 74(1): 355-364.
[7]	Guojuan QU, Tao JIANG, Tao LIU, Xiang MA. Modulating luminescent behaviors of Au nanoclusters via supramolecular strategies [J]. CIESC Journal, 2023, 74(1): 397-407.
[8]	Wei ZHANG, Haoyang LI, Chungang XU, Xiaosen LI. Research progress on the microscopic mechanism and analytical methods of gas hydrate formation [J]. CIESC Journal, 2022, 73(9): 3815-3827.
[9]	Xin ZHANG, Rui XU, Xinyu LU, Yong'an NIU. Synthesis and photocatalysis of SiO₂@BiOCl-Bi₂₄O₃₁Cl₁₀ core-shell microspheres [J]. CIESC Journal, 2022, 73(8): 3636-3646.
[10]	Chengyi AI, Jinshuo QIAO, Zhenhuan WANG, Wang SUN, Kening SUN. Investigation on PrBaFe₂O_6-_δ anode material with in-situ FeNi nanoparticle in direct carbon solid oxide fuel cell [J]. CIESC Journal, 2022, 73(8): 3708-3719.
[11]	Jing WAN, Lin ZHANG, Yachao FAN, Xiemin LIU, Peicheng LUO, Feng ZHANG, Zhibing ZHANG. Bioreactor scale-up simulation and experimental study based on mesoscale PBM model [J]. CIESC Journal, 2022, 73(6): 2698-2707.
[12]	Dawei PAN, Wei WANG, Rui XIE, Xiaojie JU, Zhuang LIU, Liangyin CHU. Progress on regulation of meso-scale structures for microfluidic emulsion-template synthesis of functional microparticles [J]. CIESC Journal, 2022, 73(6): 2306-2317.
[13]	Haihang TONG, Dezhi SHI, Jiayu LIU, Huayi CAI, Dan LUO, Fei CHEN. Research progress on dark fermentative bio-hydrogen production from lignocellulose assisted by metal nanoparticles [J]. CIESC Journal, 2022, 73(4): 1417-1435.
[14]	Miao ZHANG, Honghai YANG, Yong YIN, Yue XU, Junjie SHEN, Xincheng LU, Weigang SHI, Jun WANG. Start-up and heat transfer characteristics of a pulsating heat pipe with graphene oxide nanofluids [J]. CIESC Journal, 2022, 73(3): 1136-1146.
[15]	Zhihao WANG, Xin SONG, Yaran YIN, Xianming ZHANG. Regulation of gelation rate on the morphology of helical fibers during microfluidic spinning [J]. CIESC Journal, 2022, 73(11): 5158-5166.