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On the compound sessile drops: configuration boundaries and transitions

Published online by Cambridge University Press:  28 April 2021

Chun-Yu Zhang
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei230027, PR China
Peng Gao
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei230027, PR China
Er-Qiang Li
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei230027, PR China
Hang Ding*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei230027, PR China
*
Email address for correspondence: hding@ustc.edu.cn

Abstract

The geometry of compound sessile drops at equilibrium on a flat substrate can exhibit a variety of complicated morphological configurations. In this paper, we first investigate the configuration boundaries of the compound sessile drops in a wide parameter space, where a specific configuration is not stable outside its boundaries. Then, we focus on the transitions among the axisymmetric configurations, i.e. encapsulation, lens and collars. The configuration transitions result from the variation of the wettability of the substrate and the volume ratio of the two component droplets. With the help of theoretical analysis and numerical simulations, we obtain previously unidentified criteria for the onset of configuration transition, identify the irreversible and reversible configuration transitions, reveal the dynamic behaviours of configuration transitions that are not accessible to theoretical analysis, and provide a further step towards the ultimate purpose of such work, which is the controllable reconfiguration of the compound sessile drops.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Bansal, S. & Sen, P. 2017 Axisymmetric and nonaxisymmetric oscillations of sessile compound droplets in an open digital microfluidic platform. Langmuir 33 (41), 1104711058.CrossRefGoogle Scholar
Carroll, B.J. 1976 The accurate measurement of contact angle, phase contact areas, drop volume, and laplace excess pressure in drop-on-fiber systems. J. Colloid Interface Sci. 33 (3), 488495.CrossRefGoogle Scholar
Gao, P. & Feng, J.J. 2011 Spreading and breakup of a compound drop on a partially wetting substrate. J. Fluid Mech. 682, 415433.CrossRefGoogle Scholar
Iqbal, S., Dhiman, S., Sen, A.K. & Shen, A.Q. 2017 Dynamics of a water droplet over a sessile oil droplet: compound droplets satisfying a Neumann condition. Langmuir 33 (23), 57135723.CrossRefGoogle Scholar
Keller, K., Yakovlev, A.V., Grachova, E.V. & Vinogradov, A.V. 2018 Inkjet printing of multicolor daylight visible opal holography. Adv. Funct. Mater. 28 (21), 1706903.CrossRefGoogle Scholar
Li, D., Del Hierro, G.R., Di, J.Z. & Zuo, Y.Y. 2020 a Compound drop shape analysis with the Neumann number. Langmuir 36 (26), 76197626.CrossRefGoogle ScholarPubMed
Li, Y., Diddens, C., Segers, T., Wijshoff, H., Versluis, M. & Lohse, D. 2020 b Evaporating droplets on oil-wetted surfaces: suppression of the coffee-stain effect. Proc. Natl Acad. Sci. USA 117, 1675616763.CrossRefGoogle ScholarPubMed
Liu, H.R. & Ding, H. 2015 A diffuse-interface immersed-boundary method for two-dimensional simulation of flows with moving contact lines on curved substrates. J. Comput. Phys. 294, 484502.CrossRefGoogle Scholar
Mahadevan, L., Assa-bedia, M. & Pomeau, Y. 2002 Four-phase merging in sessile compound drops. J. Fluid Mech. 451, 411420.CrossRefGoogle Scholar
Neeson, M.J., Tabor, R.F., Grieser, F., Dagastine, R.R. & Chan, D.Y.C. 2012 Compound sessile drops. Soft Matt. 8, 1104211050.CrossRefGoogle Scholar
Sundararajan, P., Wang, J., Rosen, L.A., Procopio, A. & Rosenberg, K. 2017 Engineering polymeric janus particles for drug delivery using microfluidic solvent dissolution approach. Chem. Engng Sci. 178, 199210.CrossRefGoogle Scholar
Zarzar, L.D., Sresht, V., Sletten, E.M., Kalow, J.A., Blanschtein, D. & Swager, T.M. 2015 Dynamically reconfigurable complex emulsions via tunable interfacial tensions. Nature 518, 520524.CrossRefGoogle ScholarPubMed
Zhang, C.Y., Ding, H., Gao, P. & Wu, Y.L. 2016 Diffuse interface simulation of ternary fluids in contact with solid. J. Comput. Phys. 309, 3751.CrossRefGoogle Scholar