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Hydrodynamics of a Submerging Drop: Immiscible Liquids

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Abstract

The patterns of mass transfer of aqueous-ink-solution drops of 0.2 and 0.5 cm in diameter which fall freely into vegetable oil are investigated by means of macrophoto and high-speed video techniques over the range of the height of fall from 25 to 65 cm. The double layer formed by the contacting surfaces affects the flow pattern in the drop submerging phase. In this layer a part of the available potential surface energy of fluids is converted into other forms. The geometries of the chevron consisting of oil and the drop mass distribution pattern over the inner crown surface turn out to be similar in the initial flow phase. With time, the cavity and splash shapes and the drop mass distribution patterns that depend on time and the distance of drop fall (drop contact velocity) differ significantly. With the beginning of collapse, the ink-free regions (so-called voids) and outlined by thin filaments of drop matter are formed on the inner crown surface. Then, the filaments disintegrate into fine droplets. The geometry of splashes including those reaching the maximum height over the parameter range considered is traced.

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REFERENCES

  1. Thomson, J.J. and Newall, H.F., On the formation of vortex rings by drops falling into liquids, and some allied phenomena, Proc. R. Soc. London, 1885, vol. 29, pp. 417–436.

    Google Scholar 

  2. Worthington, A.M., A Study of Splashes, London: Longman & Green, 1908. (Reprinted: N.Y.: Macmillan, 1963).

  3. Engel, O.G., Crater depth in fluid impacts, J. Appl. Phys., 1966, vol. 37, pp. 1798–1808.

    Article  ADS  Google Scholar 

  4. Clanet, C., Waterbells and liquid sheets, Annual Review of Fluid Mechanics, 2007, vol. 39 (1), pp. 469–496.

    Article  ADS  MathSciNet  Google Scholar 

  5. Chashechkin, Yu.D. and Prokhorov, V.E., Hydrodynamics of drop impact: short waves on the surface of crown, Dokl. Ross. Akad. Nauk, 2013, vol. 451, no. 1, pp. 41–45.

    Google Scholar 

  6. Eggers, J. and Villermaux, E., Physics of liquid jets, Rep. Prog. Phys., 2008, vol. 71, p. 036601.

    Article  ADS  Google Scholar 

  7. Chashechkin, Yu.D. and Prokhorov, V.E., Acoustics and hydrodynamics of drop impact against the water surface, Akust. Zh., 2017, vol. 63, no. 1, pp. 38–49.

    Google Scholar 

  8. Chashechkin, Yu.D. and Il’inykh, A.Yu., Streaky structures in the drop matter distribution pattern over the target fluid surface, Dokl. Ross. Akad. Nauk, 2018, vol. 481, no. 2, pp. 145–150.

    Google Scholar 

  9. Wang, X.S., Liao, G.X., Qin, J., and Fan, W.C., Experimental study on effectiveness of extinction of a pool fire with water mist, J. Fire Sci., 2002, vol. 20, pp. 279–295.

    Article  Google Scholar 

  10. Fujimatsu, T., Fujita, H., Hirota, M., and Okada, O., Interfacial deformation between an impacting water drop and a silicone-oil surface, J. Colloid. Interface Sci., 2003, vol. 264, pp. 212–220.

    Article  ADS  Google Scholar 

  11. Murphy, D.W., Li C., d’Albignac, V., Morra, D., and Katz, J., Splash behaviour and oily marine aerosol production by raindrops impacting oil slicks, J. Fluid Mech., 2015, vol. 780, pp. 536–577.

  12. Meckenstock, R.U., et al., Water droplets in oil are microhabitats for microbial life, Science, 2014, vol. 345, pp. 673–675.

    Article  ADS  Google Scholar 

  13. Kochin, N.E., Kibel’, I.A., and Roze, N.V., Teoreticheskaya Gidrodinamika, Ch. 1 (Theoretical Hydrodynamics, vol. 1), Moscow: Fizmatgiz, 1963.

  14. Hydrophysical Complex for Simulation of Hydrodynamic Processes (USU “GFK IPMekh RAN”). Official site of Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences: http://www.ipmnet.ru/uniqequip/gfk/#access.

  15. Chashechkin, Yu.D. and Prokhorov, V.E., Transformation of a bridge in the process of droplet detachment, Zh. Prikl. Mekh. Tekh. Fiz., 2016, no. 3, pp. 16–31.

  16. Rein, M., The transitional regime between coalescing and splashing drops, J. Fluid Mech., 1996, vol. 306, pp. 145–165.

    Article  ADS  Google Scholar 

Download references

Funding

The work was carried out with financial support from the Russian Science Foundation (project no. 19-19-00598 “Hydrodynamics and energetics of a drop and droplet jets: formation, motion, breakdown, and interaction with the contact surface”). The experiments were carried out on the TBP stand (test bench for recording fine-grained high-speed processes) entering into the complex of Unique Research Installations “HPC IPMech RAS”.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

    A. Yu. Il’inykh & Yu. D. Chashechkin

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  1. A. Yu. Il’inykh
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  2. Yu. D. Chashechkin
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Correspondence to A. Yu. Il’inykh or Yu. D. Chashechkin.

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Translated by E.A. Pushkar

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Il’inykh, A.Y., Chashechkin, Y.D. Hydrodynamics of a Submerging Drop: Immiscible Liquids. Fluid Dyn 55, 162–170 (2020). https://doi.org/10.1134/S0015462820020056

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  • DOI: https://doi.org/10.1134/S0015462820020056

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