Abstract
The forces acting on levitating water microdroplets in the structure of a droplet cluster (A.A. Fedorets, 2004) have been analyzed. It is found that microdroplets in the cluster should undergo low-frequency vertical damping oscillations near the equilibrium position. Oscillations occur also when switching on an external electric field, which affects the oscillation frequency and equilibrium position. Microdroplets are shown to lose their stability in the critical range of parameters. The electric fields are calculated in the simplest experimental scheme for simulating the effect of electric field on a droplet cluster.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V.J. Schaefer, “Observation of an Early Morning Cup of Coffee,” Am. Sci. 59, 534 (1971).
A.A. Fedorets, “Droplet Cluster,” JETP Lett. 79, 372 (2004) [DOI: 10.1134/1.1772434].
A.A. Fedorets, “On the Mechanism of Noncoalescence in a Droplet Cluster,” JETP Lett. 81, 437 (2005) [DOI: 10.1134/1.1984025].
A.V. Shavlov, V.A. Dzhumandzhi, and S.N. Romanyuk, “Electrical Properties of Water Drops inside the Dropwise Cluster,” Phys. Lett. A. 376, 39 (2011) [DOI: 10.1016/j.physleta.2011.10.032].
A.A. Fedorets, L.A. Dombrovsky, and D.N. Medvedev, “Effect of Infrared Irradiation on the Suppression of the Condensation Growth of Water Droplets in a Levitating Droplet Cluster,” JETP Lett. 102, 452 (2015) [DOI: 10.1134/S0021364015190042].
L.A. Dombrovsky, A.A. Fedorets, and D.N. Medvedev, “The Use of Infrared Irradiation to Stabilize Levitating Clusters of Water Droplets,” Infrar. Phys. Technol. 75, 124 (2016) [DOI: 10.1016/ j.infrared.2015.12.020].
V.A. Dzhumandzhi, Abstract of the Thesis “The Physical Properties of an Ordered Aqueous Aerosol—a Droplet Cluster” (Tyumen, 2013), p. 8 [in Russian].
A.V. Fillipov, A.F. Pal’, and A.N. Starostin, “Electrostatic Interaction of Two Charged Macroparticles in an Equilibrium Plasma,” JETP. 121(5), 909 (2015) [DOI: 10.1134/S1063776115110035].
V.A. Saranin, “Possibility of the Levitation of Droplets in the Atmosphere When They Are Charged by Induction in an Electric Field under Nonuniform Evaporation Conditions,” Tech. Phys. 43(2), 145 (1998) [DOI: 10.1134/1.1258958].
A.V. Shavlov, V.A. Dzhumandzhi, and A.A. Yakovenko, “Charge Separation at the Evaporation (Condensation) Front of Water and Ice. Charging of Spherical Droplets,” Tech. Phys. 63(4), 482 (2018) [DOI: 10.21883/JTF.2018.04.45716.2463].
M.A. Leontovich, Introduction to Thermodynamics. Statistical Physics (Nauka, Moscow, 1983) [in Russian].
L. Ying, S.S. White, A. Bruckbauer, L. Meadows, Yu.E. Korchev, and D. Klenerman, “Frequency and Voltage Dependence of the Dielectrophoretic Trapping of Short Lengths of DNA and dCTP in a Nanopipette,” Biophys. J. 86, 1018 (2004) [DOI: 10.1016/ S0006-3495(04)74177-6].
L.D. Landau and E.M. Lifshitz, Course of Theoretical Physics, Vol.8: Electrodynamics of Continuous Media, 2nd ed. (Pergamon Press, Oxford, 1984).
S.N. Manida, Physics. Solution of Tasks of Elevated Complexity: Based on the Materials of the City Schoolchildren Olympiads: Tutorial (St. Petersburg State University, St. Petersburg, 2004), pp. 10, 398 [in Russian].
A.A. Fedorets, I.V. Marchuk, and O.A. Kabov, “Role of Vapor Flow in the Mechanism of Levitation of a Droplet-Cluster Dissipative Structure,” Tech. Phys. Lett. 37(2), 116 (2011) [DOI: 10.1134/ S1063785011020064].
A.A. Fedorets, M. Frenkel, E. Shulzinger, and L.A. Dombrovsky, “Self-Assembled Levitating Clusters of Water Droplets: Pattern-Formation and Stability,” Sci. Rep. 7(1), 1888 (2017) [DOI: 10.1038/s41598-017-02166-5].
L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon Press, Oxford, 1987).
A.A. Fedorets, “Mechanism of Stabilization of Location of a Droplet Cluster above the Liquid-Gas Interface,” Tech. Phys. Lett. 38(11), 988 (2012) [DOI: 10.1134/S1063785012110077].
A. Ogbi, L. Nicolas, R. Perrussel, and D. Voyer, “Calculation of DEP Force on Spherical Particle in Non-Uniform Electric Fields,” NUMELEC (July 2012, Marseille, France), p. 180 (2012) [www.hal.archivesouvertes. fr/hal-00714500].
M. Esseling, Photorefractive Optoelectronic Tweezers and Their Applications (Springer, 2015), Sec. 2, p. 13 [DOI: 10.1007/978-3-319-09318-5].
V.A. Saranin, “On the Interaction of Two Electrically Charged Conducting Balls,” Phys.-Usp. 42, 385 (1999).
E.A. Shcherba, A.I. Grigor’ev, and V.A. Koromyslov, “On Interaction of TwoClosely Spaced Charged Conducting Spheres,” Tech. Phys. 47(1), 13 (2002) [DOI: 10.1134/1.1435884].
J. Lekner, “Electrostatics of Two Charged Conducting Spheres,” Proc. Roy. Soc. A. 468, 2829 (2012) [DOI: 10.1098/rspa.2012.0133].
E.L. Tarunin, “The Dinamics of Charged Conductiong Balls Near the Inversion of the Force of Electrostatic Repulsion,” Bull. Perm Univ. 1(36), 41 (2017) [www.vestnik.psu.ru/select−box.php?num=1&year= 2017] [in Russian].
A.V. Shavlov, V.A. Dzhumandzhi, and S.N. Romanyuk, “Sound Oscillation of Dropwise Cluster,” Phys. Lett. A. 375, 2049 (2012) [DOI: 10.1016/j.physleta.2012.05.012].
V.A. Besekerskij and E.P. Popov, Theory of Automatic Control Systems (Nauka, St. Petersburg, 1975) [in Russian].
G.G. Goyer, J.E. McDonald, F. Baer, and R.R. Braham, Jr., “Effects of Electric Fields on Water-Droplet Coalescence,” J. Meteorology. 17, 442 (1960) [DOI: 10.1175/1520-0469(1960)017<0442:EOEFOW> 2.0.CO;2].
G. Freier, “The Coalescence of Water Drops in an Electric Field,” J. Geophys. Res. 65, 1979 (1960) [DOI: 10.1029/JZ065i012p03979].
C.H. Hendricks and R.G. Semonin, Investigation of Water Droplet Coalescence (1963) [www.isws. illinois.edu/pubdoc/CR/ISWSCR-48.pdf].
M. Mohammadi, Sh. Shahhosseini, and M. Bayat, “Numerical Study of the Collision and Coalescence of Water Droplets in an Electric Field,” Chem. Eng. Technol. 37, 27 (2014) [DOI: 10.1002/ ceat.201200479].
M. Brik, R. Ruscassie, and A. Saboni, “Droplet Deformation and Coalescence under Uniform Electric Field,” J. Chem. Tech. Metal. 51, 647 (2016) [www.dl.uctm.edu/journal/node/78].
J. Ndoumbe, A. Beroual, and A.M. Imano, “Simulation and Analysis of Coalescence of Water Droplets on Composite Insulating Surface under DC Electric Field,” IEEE Trans. Diel. Electr. Insul. 22, 2669 (2015) [DOI: 10.1109/TDEI.2015.004820].
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Gabyshev, D.N. Damping Oscillations of Microdroplets of a Droplet Cluster in an External Electric Field. Phys. Wave Phen. 26, 221–233 (2018). https://doi.org/10.3103/S1541308X1803007X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1541308X1803007X