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Evolution of the Fine Structure of the Matter Distribution of a Free-Falling Droplet in Mixing Liquids

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Abstract

In this paper we study the evolution of the matter distribution pattern of ink droplets falling freely into calm water and forming a cumulative back jet by tracing with high-speed video recording. In the phase of primary contact and immersion, the matter of a drop merging with the receiving liquid is distributed in the form of fine fibers forming a regular striped pattern on the surface of the growing crown and a net pattern consisting of three-, four-, and pentagonal cells at the cavity bottom. The fibrous distributions of the colored liquid remain at all subsequent stages of the flow evolution until the formation of a vortex cascade. Then the picture is blurred due to molecular diffusion in a practically quiescent liquid. The formation of a discrete (fibrous) pattern of the drop matter distribution is associated with the compactness of the region of release of the available potential surface energy during the confluence of liquids that initiates a fast movement of a thin layer. Subsequent fiber preservation is provided by the slowness of molecular diffusion.

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REFERENCES

  1. M. Szakáll, S. K. Mitra, K. Diehl, and S. Borrmann, “Shapes and oscillations of falling raindrops: A review,” Atmos. Res. 97, 416–425 (2010). https://doi.org/10.1016/j.atmosres.2010.03.024

    Article  Google Scholar 

  2. J. W. Strutt (Lord Rayleigh), “On the capillary phenomena of jets,” Proc. R. Soc. London 29, 71–97 (1879).

    Article  Google Scholar 

  3. A. V. Kistovich and Yu. D. Chashechkin, “Surface oscillations of a free-falling droplet of an ideal fluid,” Izv., Atmos. Ocean. Phys. 54 (2), 182–188 (2018). https://doi.org/10.7868/S0003351518020095

    Article  Google Scholar 

  4. A. G. Gorelik and V. V. Sterlyadkin, “The effect of raindrop vibration on the polarization characteristics of a radio echo,” Izv. Akad. Nauk SSSR: Fiz. Atmos. Okeana 25 (9), 960–968 (1989).

    Google Scholar 

  5. F. Veron, “Ocean spray,” Ann. Rev. Fluid Mech. 47, 507–538 (2015). https://doi.org/10.1146/annurev-fluid-010814-014651

    Article  Google Scholar 

  6. E. C. Monahan, A. Staniec, and P. Vlahos, “Spume drops: Their potential role in air–sea gas exchange,” J. Phys. Oceanol. 122 (12), 9500–9517 (2017). https://doi.org/10.1002/2017JC013293

    Google Scholar 

  7. V. E. Prokhorov and Yu. D. Chashechkin, “Emission of the sequence of sound packets during a drop falling onto the surface of water,” Dokl. Phys. 57 (3), 114–118 (2012). https://doi.org/10.1134/S1028335812040076

    Article  Google Scholar 

  8. G. Z. Zhu, Z. H. Li, and D. Y. Fu, “Experiments on ring wave packet generated by water drop,” Chin. Sci. Bull. 53 (11), 1634–1638 (2008). https://doi.org/10.1007/s11434-008-0246-0

    Article  Google Scholar 

  9. Yu. D. Chashechkin and V. E. Prokhorov, “Drop-impact hydrodynamics: Short waves on a surface of the crown,” Dokl. Phys. 58 (1), 296–300 (2013). https://doi.org/10.1134/S1028335813070021

    Article  Google Scholar 

  10. A. Yu. Il’inykh and Yu. D. Chashechkin, “Hydrodynamics of contact of a falling drop with a liquid free surface,” Fluid Dyn. 51 (2), 127–135 (2016). https://doi.org/10.7868/S0568528116020092

    Article  Google Scholar 

  11. B. D. L. Fitt, H. A. McCartney, and P. Walkalate, “The role of rain in dispersal of pathogen inoculum,” Ann. Rev. Phytopathol. 27, 241–270 (1989). https://doi.org/10.1146/annurev.py.27.090189.001325

    Article  Google Scholar 

  12. H. Liu and P. K. Dasgupta, “Analytical chemistry in a drop,” Trends Anal. Chem. 15 (9), 468–475 (1996). https://doi.org/10.1016/S0165-9936(96)00065-9

    Article  Google Scholar 

  13. E. V. Stepanova, M. V. Trofimova, T. O. Chaplina, and Yu. D. Chashechkin, “Structural stability of substance transport in a compound vortex,” Izv., Atmos. Ocean. Phys. 48 (5), 516–527 (2012). https://doi.org/10.1134/S000143381205009X

    Article  Google Scholar 

  14. B. Ray, G. Biswas, and A. Sharma, “Regimes during liquid drop impact on a liquid pool,” J. Fluid Mech. 768, 492–523 (2015). https://doi.org/10.1017/jfm.2015.108

    Article  Google Scholar 

  15. Yu. D. Chashechkin, “Drops: crowns, spikes, sounds...,” Priroda, No. 11, 13–23 (2016).

    Google Scholar 

  16. Yu. D. Chashechkin and A. Yu. Il’inykh, “Banded structures in the distribution pattern of a drop over the surface of the target fluid,” Dokl. Phys. 63 (7), 282–287 (2018). https://doi.org/10.1134/S1028335818070066

    Article  Google Scholar 

  17. L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 5: Statistical Physics (Nauka, GRFML, 1976), Part 1 [in Russian].

  18. X.-F. Pang, Water: Molecular Structure and Properties (World Scientific, Singapore, 2014).

    Book  Google Scholar 

  19. D Eisenberg and W Kauzmann, The Structure and Properties of Water (Oxford University Press, Oxford, 1969; Gidrometeoizdat, Leningrad, 1975).

  20. L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 6: Hydrodynamics (Nauka. GRFML, 1986) [in Russian].

  21. Yu. D. Chashechkin, “Singularly perturbed components of flows—linear precursors of shock waves,” Math. Modell. Nat. Phenom. 13 (2), 1–29 (2018). https://doi.org/10.1051/mmnp/2018020

    Article  Google Scholar 

  22. Yu. D. Chashechkin, “Waves, vortices and ligaments in fluid flows of different scales,” Phys. Astron. Int. J. 2 (2), 105–108 (2018). https://doi.org/10.15406/paij.2018.02.00070

    Article  Google Scholar 

  23. H. Oertel Jr., Prandtl – Führer durch die Strömungslehre (F. Vieweg & Sohn, Braunschweig, 1949; NITs RKhT, Moscow–Izhevsk, 2007).

  24. Hydrophysical complex for modeling hydrodynamic processes in the environment and their effect on underwater technical objects as well as transport of admixtures in the ocean and atmosphere (HPC IPM RAS). http://www.ipmnet.ru/uniqequip/gfk/

  25. Yu. D. Chashechkin and V. E. Prokhorov, “Primary acoustic signal structure during free falling drop collision with a water surface,” J. Exp. Theor. Phys. 122 (4), 748–758. https://doi.org/10.1134/S1063776116020175

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ACKNOWLEDGMENTS

The experiments were carried out at the stand of the ESP Hydrophysical Complex of the Institute for Problems of Mechanics, Russian Academy of Sciences. I am grateful to V.E. Prokhorov for assistance in conducting experiments and to an anonymous reviewer for valuable comments.

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Correspondence to Yu. D. Chashechkin.

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This work was supported in part by the Russian Foundation for Basic Research, project no. 18-05-00870.

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Translated by A. Ivanov

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Chashechkin, Y.D. Evolution of the Fine Structure of the Matter Distribution of a Free-Falling Droplet in Mixing Liquids. Izv. Atmos. Ocean. Phys. 55, 285–294 (2019). https://doi.org/10.1134/S0001433819020026

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