Effect of Surface Tension Relaxation on the Stability of the Charged Jet

A. I. Grigoryev; Григорьев А. И.; N. Yu. Kolbneva; Колбнева Н. Ю.; S. O. Shiryaeva; Ширяева С. О.

doi:10.31857/S003282352306005X

Effect of Surface Tension Relaxation on the Stability of the Charged Jet

作者: Grigoryev A.I.¹, Kolbneva N.Y.², Shiryaeva S.O.²
隶属关系:
1. Ishlinky Institute for Problems in Mechanics RAS
2. Demidov Yaroslavl State University
期: 卷 87, 编号 6 (2023)
页面: 1014-1027
栏目: Articles
URL: https://journals.rcsi.science/0032-8235/article/view/232549
DOI: https://doi.org/10.31857/S003282352306005X
EDN: https://elibrary.ru/HLMDPE
ID: 232549

如何引用文章

全文:

开放存取

##reader.subscriptionAccessGranted##
受限制的访问

订阅存取

详细
作者简介
参考
补充文件
统计

详细

In the asymptotic calculations of the first order of smallness by the dimensionless amplitude of capillary waves on the surface of charged jets of polar liquid, the effect of the relaxation effect of surface tension on the regularities of their implementation is investigated. Calculations are carried out on the model of an ideal non-compressible electrically conductive fluid. It has been shown that taking into account the effect of dynamic surface tension leads to an increase in the order of the dispersion equation, which has another damping root, which is obliged to destroy the near-surface double electric layer (destruction of the ordering of polar molecules in the near-surface layer), which undergoes electrostatic instability at sufficiently large charges (pre-breakdown in the sense of ignition of corona discharge in air). In the ideal fluid mathematical model used, the relaxation motion of the jet surface disturbances that occurs when the surface tension relaxation effect is turned on and the attenuation decrements of capillary wave motions are purely of a relaxation nature.

关键词

charged jet, surface tension relaxation, decrement

参考

Frenkel J.I. Theory of Atmospheric Electricity Phenomena. Leningrad;Moscow: Gostekhteorizdat, 1949. 155 p.
Bor N. Determination of water surface tension coefficient by jet oscillation // in: Niels Bor. Selected scientific works. Moscow: Nauka, pp. 7–50. 1970. 584 p. (in Russian)
Bor N. To determine the coefficient of surface tension of water of freshly formed surface of water // in: Niels Bor. Selected scientific works. Moscow: Nauka, pp. 5–59. 1970. 584 p. (in Russian)
Owens D.K. The dynamic surface tension of sodium dodecyl sulfate solutions // J. Colloid&Interface Sci., 1969, vol. 29, no. 3, pp. 496–501.
Kochurova N.N., Rusanov A.I. Dynamic surface properties of water: Surface tension and surface potential // J. Colloid&Interface Sci., 1981, vol. 81, no. 2, pp. 297–303. (in Russian)
Aytouna M., Bartolo D., Wegdam G., Bonn D., Rafai A. Impact dynamics of surfactant laden drops: dynamic surface tension effects // Exper. in Fluids, 2010, vol. 48, no. 1, pp. 49–57.
Nagata Y., Ohto T., Bonn M., Kuhne T. Surface tension of ab initio liquid water at the water-air interface // J. Chem. Phys., 2016, vol. 144, no. 20, 204705.
Hauner I.M., Deblais A., Beattie J.K, Kellay H., Bonn D. The dynamic surface tension of water // Phys. Chem. Lett., 2017, vol. 8, pp. 1599–1603.
Frenkel J.I. To the theory of Tonks about the rupture of the surface of a liquid by a constant electric field in a vacuum // JETF, 1936, vol. 6, no. 4, pp. 348. (in Russian)
Bykovsky Yu.A., Manykin E.A., Nakhutin I.E., Poluektov P.P., Rubezhniy Yu.G. Spectrum of surface vibrations of liquid taking into account relaxation effects // ZhTF, 1976, vol. 46, no. 10, pp. 2211–2213. (in Russian)
Christensen R.M. Theory of Viscoelasticity. An Introduction. N.Y.; L.: Acad. Press.
Grigor’ev A.I., Mikheev G.E., Shiryaeva S.O. Electrostatic instability of the surface of a volume charged jet of dielectric liquid moving relative to the surrounding medium // Fluid Dyn., 2017, vol. 52, no. 5, pp. 599–609. doi: 10.1134/S0015462817050015
Levich V.L. Physicochemical Hydrodynamics. Moscow: Fizmatgiz, 1959. 700 p. (in Russian)
Abramowitz M., Steegan I. Special Features Handbook. Moscow: Nauka, 1979. 830 p.
Levacheva G.A., Manykin E.A., Poluektov P.P. On the spectrum of oscillations in the forms of a micellar particle // Izv. USSR AS, Fluid&Gas Mech., 1985, no. 2, pp. 17–22. (in Russian)
Grigor’ev A.I., Shiryaeva S.O. Electrostatic instability of the higher-order azimuthal modes of a charged jet // Fluid Dyn., 2021, vol. 56, no. 3, pp. 353–360. doi: 10.1134/S0015462821030058
Rayleigh. On the equilibrium of liquid conducting masses charged with electricity // Phil. Mag., 1882, vol. 14, pp. 184–186.
Landau L.D., Lifshits E.M. Hydrodynamics. Moscow: Nauka, 1986. 736 p. (in Russian)
Shiryaeva S.O., Grigoriev A.I. Spontaneous Jet Decay. Yaroslavl: YarSU, 2012. 204 p. (in Russian)
Schweizer J.W., Hanson D.N. Stability limit of charged drops // J. Colloid&Interface Sci., 1971, vol. 35, no. 3, pp. 417–423.
Duft D., Achtzehn T., Muller R. et al. Rayleigh jets from levitated micro droplets // Nature, 2003, vol. 421, pp. 128.
Grimm R.L., Beauchamp J.L. Dynamics of field-induced droplet ionization: time-resolved studies of distortion, jetting, and progeny formation from charged and neutral methanol droplet exposed to strong electric fields // J. Phys. Chem. B, 2005, vol. 109, pp. 8244–8250.
Cloupeau M., Prunet Foch B. Electrohydrodynamic spraying functioning modes: a critical review // J. Aerosol Sci., 1994, vol. 25, no. 6, pp. 1021–1035.
Frenkel J.I. Kinetic Theory of Liquids. Leningrad: Nauka, 1975. 592 p. (in Russian)
Grigoriev A.I. Electrostatic instability of a highly charged jet of electrically conductive liquid // ZhTF, 2009, vol. 79, no. 4, pp. 36–45. (in Russian)