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The impact of an oil droplet on an oil layer on water

Published online by Cambridge University Press:  09 November 2020

Dohyung Kim ,
Jinseok Lee ,
Arijit Bose ,
Ildoo Kim Open the ORCID record for Ildoo Kim [Opens in a new window]  and
Jinkee Lee Open the ORCID record for Jinkee Lee [Opens in a new window]
Dohyung Kim
Affiliation:
School of Mechanical Engineering, Sungkyunkwan University, Suwon, Gyeonggi-do16419, Republic of Korea
Jinseok Lee
Affiliation:
School of Mechanical Engineering, Sungkyunkwan University, Suwon, Gyeonggi-do16419, Republic of Korea
Arijit Bose
Affiliation:
Department of Chemical Engineering, University of Rhode Island, Kingston, RI02881, USA
Ildoo Kim*
Affiliation:
Department of Mechatronics, Konkuk University, Chungju27478, Republic of Korea
Jinkee Lee*
Affiliation:
School of Mechanical Engineering, Sungkyunkwan University, Suwon, Gyeonggi-do16419, Republic of Korea
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We present a study of droplet impingement on a two-layer liquid, specifically an oil droplet impinging on a layer of oil on water. In our experiments, the diameter and impact velocity of the droplet and the thickness of the oil layer were varied, and the maximum depth of the crater and the maximum height of the Worthington jet were measured. When the thickness of the oil layer was less than ${\sim }1.6$ times the droplet diameter, the depth of the crater depended on the thickness of the oil layer. Otherwise, the two-layer liquid behaved like a single layer. This observation is rationalized by considering the oil–water interface, whose deformation is negligible when the oil layer is thick but becomes significant when the oil layer is thinner. We define an effective Weber number for the two-layer liquid and show that the height of the Worthington jet is proportional to this effective Weber number.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 906 , 10 January 2021 , A5
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

REFERENCES

Bisighini, A., Cossali, G. E., Tropea, C. & Roisman, I. V. 2010 Crater evolution after the impact of a drop onto a semi-infinite liquid target. Phys. Rev. E 82 (3), 036319.CrossRefGoogle ScholarPubMed
Boreyko, J. B., Polizos, G., Datskos, P. G., Sarles, S. A. & Collier, C. P. 2014 Air-stable droplet interface bilayers on oil-infused surfaces. Proc. Natl Acad. Sci. USA 111 (21), 7588–7593.CrossRefGoogle ScholarPubMed
Castillo-Orozco, E., Davanlou, A., Choudhury, P. K. & Kumar, R. 2015 Droplet impact on deep liquid pools: Rayleigh jet to formation of secondary droplets. Phys. Rev. E 92 (5), 053022.CrossRefGoogle ScholarPubMed
Che, Z. & Matar, O. K. 2018 Impact of droplets on immiscible liquid films. Soft Matt. 14 (9), 1540–1551.CrossRefGoogle ScholarPubMed
Cossali, G. E., Marengo, M., Coghe, A. & Zhdanov, S. 2004 The role of time in single drop splash on thin film. Exp. Fluids 36 (6), 888–900.CrossRefGoogle Scholar
Engel, O. G. 1965 Crater depth in fluid impacts. J. Appl. Phys. 37, 1798–1808.CrossRefGoogle Scholar
Fedorchenko, A. I. & Wang, A.-B. 2004 On some common features of drop impact on liquid surfaces. Phys. Fluids 16 (5), 1349–1365.CrossRefGoogle Scholar
Fingas, M. 2012 The Basics of Oil Spill Cleanup. CRC Press.CrossRefGoogle Scholar
Fujimatsu, T., Fujita, H., Hirota, M. & Okada, O. 2003 Interfacial deformation between an impacting water drop and a silicone-oil surface. J. Colloid Interface Sci. 264 (1), 212–220.CrossRefGoogle Scholar
Ghabache, É., Séon, T. & Antkowiak, A. 2014 Liquid jet eruption from hollow relaxation. J. Fluid Mech. 761, 206–219.CrossRefGoogle Scholar
Goebel, A. & Lunkenheimer, K. 1999 Interfacial tension of the water/n-alkane interface. Langmuir 13, 369–372.CrossRefGoogle Scholar
Jain, U., Jalaal, M., Lohse, D. & Van der Meer, D. 2019 Deep pool water-impacts of viscous oil droplets. Soft Matt. 15, 4629–4638.CrossRefGoogle ScholarPubMed
Kim, S. J., Kim, S. & Jung, S. 2018 Extremes of the pinch-off location and time in a liquid column by an accelerating solid sphere. Phys. Rev. Fluids 3 (8), 084001.CrossRefGoogle Scholar
Leng, L. J. 2001 Splash formation by spherical drops. J. Fluid Mech. 427, 73–105.CrossRefGoogle Scholar
Lessard, R. R. & DeMarco, G. 2000 The significance of oil spill dispersants. Spill Sci. Technol. Bull. 6 (1), 59–68.CrossRefGoogle Scholar
Macklin, W. C. & Metaxas, G. J. 1976 Splashing of drops on liquid layers. J. Appl. Phys. 47 (9), 3963–3970.CrossRefGoogle Scholar
Manzello, S. L. & Yang, J. C. 2002 An experimental study of a water droplet impinging on a liquid surface. Exp. Fluids 32 (5), 580–589.CrossRefGoogle Scholar
Michon, G.-J., Josserand, C. & Séon, T. 2017 Jet dynamics post drop impact on a deep pool. Phys. Rev. Fluids 2, 023601.CrossRefGoogle Scholar
Murphy, D. W., Li, C., d'Albignac, V., Morra, D. & Katz, J. 2015 Splash behaviour and oily marine aerosol production by raindrops impacting oil slicks. J. Fluid Mech. 780, 536–577.CrossRefGoogle Scholar
Prosperetti, A. & Oguz, H. N. 1993 The impact of drops on liquid surfaces and the underwater noise of rain. Annu. Rev. Fluid Mech. 25 (1), 577–602.CrossRefGoogle Scholar
Pumphrey, H. C. & Elmore, P. A. 1990 The entrainment of bubbles by drop impacts. J. Fluid Mech. 220, 539–567.CrossRefGoogle Scholar
Ray, B., Biswas, G. & Sharma, A. 2012 Bubble pinch-off and scaling during liquid drop impact on liquid pool. Phys. Fluids 24 (8), 082108.CrossRefGoogle Scholar
Ray, B., Biswas, G. & Sharma, A. 2015 Regimes during liquid drop impact on a liquid pool. J. Fluid Mech. 768, 492–523.CrossRefGoogle Scholar
Rayleigh, Lord 1878 On the instability of jets. Proc. Lond. Math. Soc. 1 (1), 4–13.CrossRefGoogle Scholar
Shaikh, S., Toyofuku, G., Hoang, R. & Marston, J. O. 2018 Immiscible impact dynamics of droplets onto millimetric films. Exp. Fluids 59 (1), 7.CrossRefGoogle Scholar
Smolka, L. B. & McLaughlin, C. K. 2019 Sphere entry through an oil lens floating on water. Phys. Rev. Fluids 4 (4), 044001.CrossRefGoogle Scholar
Wang, A.-B. & Chen, C.-C. 2000 Splashing impact of a single drop onto very thin liquid films. Phys. Fluids 12 (9), 2155–2158.CrossRefGoogle Scholar
Wang, W., Ji, C., Lin, F., Wei, X. & Zou, J. 2019 Formation of water in oil in water particles by drop impact on an oil layer. Phys. Fluids 31 (3), 037107.Google Scholar
Worthington, A. M. 1908 A Study of Splashes. Longmans, Green, and Company.Google Scholar
Xu, M., Wang, C. & Lu, S. 2017 Water droplet impacting on burning or unburned liquid pool. Exp. Therm. Fluid Sci. 85, 313–321.CrossRefGoogle Scholar
Yilmaz, N. & Nelson, R. 2014 Cavity dynamics of smooth sphere and golf ball at low froude number, part 1: high-speed imaging and quantitative measurements. J. Vis. Japan 18 (2), 335–342.CrossRefGoogle Scholar