Determination of interaction force between droplet and solid surface using droplet probe

doi:10.11949/0438-1157.20211794

Abstract

Abstract:

The determination of interaction force between droplet and solid surface is of fundamental importance for understanding wetting mechanism and controlling multiphase flow behavior in confine space. In this study, the interaction force between droplet and solid surface is determined by using droplet profile as a probe. The interaction force is calculated by capturing and analyzing the droplet deformation during the interaction. The results are in good agreement with those obtained by the precise commercial weighing sensor. Compared with the atomic force microscope (AFM) and surface force meter (SFA) measurement methods reported in the literatures in recent years, this method does not require external precision mechanical probes, and has the advantages of simple operation, process visualization, and low cost. It is not limited by the light transmittance of the research object. Therefore, it has the advantage of simple, visible, low cost, and not limited to transparent objects. Finally, the dynamic interaction force between the tetradecane droplet and solid surface in various aqueous solutions is determined by the new method. The influence of the component of aqueous solutions is investigated. It is found that the total repulsive force only depends on the droplet deformability.

Key words: interface, measurement, multiphase flow, droplet, solid surface, interaction force

摘要：

液滴与固体壁面间相互作用力的测量与研究是深入理解润湿机理、调控受限空间内多相流动行为的基础。以液滴轮廓形变为原位微作用力探针，通过拍摄并分析液滴与固体壁面作用过程中轮廓形态变化实现了液滴与固体壁面间相互作用力的测量，测量结果与商用精密微作用力测量仪结果符合良好。相较近年来文献报道的原子力显微镜(AFM)与表面力仪(SFA)测定方法，本方法无须借助外部精密机械探针，具有操作简单、过程可视、成本低廉、不受研究对象透光性限制等优势。最后利用本方法测定了水相环境中十四烷液滴靠近与远离固体壁面时所受的作用力，考察了水相组成对作用力的影响，并发现液滴与壁面间的总斥力仅取决于液滴的形变能力。

关键词: 界面, 测量, 多相流, 液滴, 固体壁面, 相互作用力

CLC Number:

TQ 013

Wenjie LAN, Xiaojie HU, Dizong CAI. Determination of interaction force between droplet and solid surface using droplet probe[J]. CIESC Journal, 2022, 73(3): 1119-1126.

兰文杰, 胡晓洁, 蔡迪宗. 界面探针法测量液滴与固体壁面间相互作用力[J]. 化工学报, 2022, 73(3): 1119-1126.

Figures/Tables 7

Table 1 Components and physical properties of the systems

编号	水相		有机相	水相与有机相密度差/(kg/m³)	γ_ref^①/(mN/m)	γ^②/(mN/m)
编号	SDS 浓度/ (mmol/L)	NaCl 浓度/ (mmol/L)	有机相	水相与有机相密度差/(kg/m³)	γ_ref^①/(mN/m)	γ^②/(mN/m)
1	3.0	1	正十四烷	233.7	6.03 ± 0.36	6.3 ± 0.2
2	3.0	10	正十四烷	233.8	5.45 ± 0.28	5.5 ± 0.3
3	3.0	100	正十四烷	235.6	3.43 ± 0.32	3.7 ± 0.1
4	1.0	3	正十四烷	234.0	15.25 ± 0.51	15.1 ± 0.4

Fig. 1 Schematic diagram of microreactor

Fig.2 Micrographs of n-tetradecane droplet approaching solid surface and the calculated profiles using MATLAB program self-written

Fig.3 Comparison of the interaction force measured by the two different methods (system 1)

Fig.4 The relation between the flow rate of dispersed phase and approach (retract) speed

Fig.5 The interaction force between droplet and solid surface during approach-retract collision

Fig.6 The interaction force between droplet and solid surface during approach-attachment collision

References 31

1	Lan W J, Jing S, Li S W, et al. Hydrodynamics and mass transfer in a countercurrent multistage microextraction system[J]. Industrial & Engineering Chemistry Research, 2016, 55(20): 6006-6017.
2	Zhou H, Jing S, Yu X, et al. Study of droplet breakage in a pulsed disc and doughnut column (Ⅰ): Experiments and correlations[J]. Chemical Engineering Science, 2019, 197: 172-183.
3	Zhu P G, Wang L Q. Passive and active droplet generation with microfluidics: a review[J]. Lab on a Chip, 2017, 17(1): 34-75.
4	Wang W, Xie R, Ju X J, et al. Controllable microfluidic production of multicomponent multiple emulsions[J]. Lab on a Chip, 2011, 11(9): 1587-1592.
5	Jiang J Z, Zhu Y, Cui Z G, et al. Switchable pickering emulsions stabilized by silica nanoparticles hydrophobized in situ with a switchable surfactant[J]. Angewandte Chemie (International Ed. in English), 2013, 52(47): 12373-12376.
6	Kim J H, Jeon T Y, Choi T M, et al. Droplet microfluidics for producing functional microparticles[J]. Langmuir, 2014, 30(6): 1473-1488.
7	Duncanson W J, Lin T N, Abate A R, et al. Microfluidic synthesis of advanced microparticles for encapsulation and controlled release[J]. Lab on a Chip, 2012, 12(12): 2135-2145.
8	Mura S, Nicolas J, Couvreur P. Stimuli-responsive nanocarriers for drug delivery[J]. Nature Materials, 2013, 12(11): 991-1003.
9	Xu J H, Luo G S, Li S W, et al. Shear force induced monodisperse droplet formation in a microfluidic device by controlling wetting properties[J]. Lab on a Chip, 2006, 6(1): 131-136.
10	Zhao C X, Middelberg A P J. Two-phase microfluidic flows[J]. Chemical Engineering Science, 2011, 66(7): 1394-1411.
11	Xu K, Zhu P X, Huh C, et al. Microfluidic investigation of nanoparticles’ role in mobilizing trapped oil droplets in porous media[J]. Langmuir, 2015, 31(51): 13673-13679.
12	苏瑶瑶, 李平凡, 汪伟, 等. 微流控液滴模板法可控构建功能微颗粒材料[J]. 化工学报, 2021, 72(1): 42-60.
	Su Y Y, Li P F, Wang W, et al. Controllable fabrication of functional microparticle materials from microfluidic droplet templates[J]. CIESC Journal, 2021, 72(1): 42-60.
13	孙俊杰, 郝婷婷, 马学虎, 等. 壁面润湿性对微通道内二氧化碳-水两相流流动及传质性能的影响[J]. 化工学报, 2015, 66(9): 3405-3412.
	Sun J J, Hao T T, Ma X H, et al. Surface wettability effect on carbon dioxide-water two-phase flow and mass transfer in rectangular microchannel[J]. CIESC Journal, 2015, 66(9): 3405-3412.
14	Israelachvili J N. Intermolecular and Surface Forces[M]. 3rd ed. New York: Academic Press, 2011.
15	Zeng H B. Polymer Adhesion, Friction, and Lubrication[M]. Hoboken: John Wiley & Sons, Inc., 2013.
16	Svetovoy V B, Dević I, Snoeijer J H, et al. Effect of disjoining pressure on surface nanobubbles[J]. Langmuir, 2016, 32(43): 11188-11196.
17	Shi C, Yan B, Xie L, et al. Long-range hydrophilic attraction between water and polyelectrolyte surfaces in oil[J]. Angewandte Chemie (International Ed. in English), 2016, 55(48): 15017-15021.
18	陆小华, 董依慧, 安蓉, 等. 复杂流体-固体界面相互作用热力学机制[J]. 化工学报, 2019, 70(10): 3677-3689.
	Lu X H, Dong Y H, An R, et al. Thermodynamic mechanism of complex fluids-solids interfacial interaction[J]. CIESC Journal, 2019, 70(10): 3677-3689.
19	Shi C, Chan D Y C, Liu Q X, et al. Probing the hydrophobic interaction between air bubbles and partially hydrophobic surfaces using atomic force microscopy[J]. The Journal of Physical Chemistry C, 2014, 118(43): 25000-25008.
20	Shi C, Cui X, Zhang X R, et al. Interaction between air bubbles and superhydrophobic surfaces in aqueous solutions[J]. Langmuir, 2015, 31(26): 7317-7327.
21	Shi C, Cui X, Xie L, et al. Recent experimental advances on hydrophobic interactions at solid/water and fluid/water interfaces [J]. ACS Nano, 2014, 9: 95-104.
22	Xie L, Shi C, Wang J Y, et al. Probing the interaction between air bubble and sphalerite mineral surface using atomic force microscope[J]. Langmuir, 2015, 31(8): 2438-2446.
23	陈安, 骆广生, 徐建鸿. 液滴间相互作用机制定量探究的研究进展[J]. 化工学报, 2021, 72(12): 5955-5964.
	Chen A, Luo G S, Xu J H. Research progress on quantitative exploration of the interaction mechanism between droplets[J]. CIESC Journal, 2021, 72(12): 5955-5964.
24	Horn R G, Asadullah M, Connor J N. Thin film drainage: hydrodynamic and disjoining pressures determined from experimental measurements of the shape of a fluid drop approaching a solid wall[J]. Langmuir, 2006, 22(6): 2610-2619.
25	Connor J N, Horn R G. Extending the surface force apparatus capabilities by using white light interferometry in reflection[J]. Review of Scientific Instruments, 2003, 74(11): 4601-4606.
26	Pushkarova R A, Horn R G. Bubble-solid interactions in water and electrolyte solutions[J]. Langmuir, 2008, 24(16): 8726-8734.
27	Lockie H J, Manica R, Stevens G W, et al. Precision AFM measurements of dynamic interactions between deformable drops in aqueous surfactant and surfactant-free solutions[J]. Langmuir, 2011, 27(6): 2676-2685.
28	Jin H, Wang W, Chang H L, et al. Effects of salt-controlled self-assembly of triblock copolymers F68 on interaction forces between oil drops in aqueous solution[J]. Langmuir, 2017, 33(51): 14548-14555.
29	Mettu S, Berry J D, Dagastine R R. Charge and film drainage of colliding oil drops coated with the nonionic surfactant C₁₂E₅ [J]. Langmuir, 2017, 33(20): 4913-4923.
30	Israelachvili J, Min Y, Akbulut M, et al. Recent advances in the surface forces apparatus (SFA) technique[J]. Reports on Progress in Physics, 2010, 73(3): 036601.
31	Lan W J, Cai D Z, Hu X J, et al. Determination of dynamic interactions of droplets in continuous fluids using droplet probe[J]. Journal of Colloid and Interface Science, 2022, 605: 91-100.

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