Skip to main content
Top
Published in: Surface Engineering and Applied Electrochemistry 2/2024

01-04-2024

Dynamic Surface Tension of a Charged Spherical Water Droplet

Authors: A. I. Grigor’ev, N. Yu. Kolbneva, S. O. Shiryaeva

Published in: Surface Engineering and Applied Electrochemistry | Issue 2/2024

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In asymptotic calculations of the first order of smallness in the dimensionless amplitude of water droplet oscillations, the effect of the dynamic surface tension on the oscillation parameters was investigated using a model of an ideal incompressible liquid. It was shown that the effect of the dynamic surface tension strongly manifests itself at frequencies of external influences that are inversely proportional to the water relaxation time. At such frequencies, under the action of external influences, the electrical double layer is destroyed (the ordering of water molecules in the near-surface layer is disrupted). As a result, the free energy of the surface increases, and so does the liquid surface tension. The dynamic surface tension affects the acoustic radiation from the droplet by altering the coefficient of surface tension. The contribution to the electromagnetic radiation of the oscillating droplet is made by the disruption of the order of near-surface water molecules in the electrical double layer.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Owens, D.K., The dynamic surface tension of sodium dodecyl sulfate solutions, J. Coll. Interface Sci., 1969, vol. 29, no. 3, p. 496.CrossRef Owens, D.K., The dynamic surface tension of sodium dodecyl sulfate solutions, J. Coll. Interface Sci., 1969, vol. 29, no. 3, p. 496.CrossRef
2.
go back to reference Girs, S.P., Effect of the water–air interface on the charging of cloud droplets, in Poverkhnostnye yavleniya v zhidkostyakh i zhidkikh rastvorakh (Surface Phenomena in Liquids and Liquid Solutions), Leningrad: Izd. Leningr. Gos. Univ., 1972, iss. 1. Girs, S.P., Effect of the water–air interface on the charging of cloud droplets, in Poverkhnostnye yavleniya v zhidkostyakh i zhidkikh rastvorakh (Surface Phenomena in Liquids and Liquid Solutions), Leningrad: Izd. Leningr. Gos. Univ., 1972, iss. 1.
3.
go back to reference Frenkel’, Ya.I., Teoriya yavlenii atmosfernogo elektrichestva (Theory of Atmospheric Electricity Phenomena), Leningrad–Moscow: Gostekhteorizdat, 1949. Frenkel’, Ya.I., Teoriya yavlenii atmosfernogo elektrichestva (Theory of Atmospheric Electricity Phenomena), Leningrad–Moscow: Gostekhteorizdat, 1949.
4.
go back to reference Hauner, I.M., Deblais, A., Beattie, J.K., Kellay, H., et al., The dynamic surface tension of water, Phys. Chem. Lett., 2017, vol. 8, p. 1599.CrossRef Hauner, I.M., Deblais, A., Beattie, J.K., Kellay, H., et al., The dynamic surface tension of water, Phys. Chem. Lett., 2017, vol. 8, p. 1599.CrossRef
5.
go back to reference Bykovskii, Yu.A., Manykin, E.A., Nakhutin, I.E., Poluektov P.P., et al., Spectrum of surface vibrations of a liquid taking into account relaxation effects, Zh. Tekh. Fiz., 1976, vol. 46, no. 10, p. 2211. Bykovskii, Yu.A., Manykin, E.A., Nakhutin, I.E., Poluektov P.P., et al., Spectrum of surface vibrations of a liquid taking into account relaxation effects, Zh. Tekh. Fiz., 1976, vol. 46, no. 10, p. 2211.
6.
go back to reference Kochurova, N.N. and Rusanov, A.I., Dynamic surface properties of water: Surface tension and surface potential, J. Coll. Interface Sci., 1981, vol. 81, no. 2, p. 297.CrossRef Kochurova, N.N. and Rusanov, A.I., Dynamic surface properties of water: Surface tension and surface potential, J. Coll. Interface Sci., 1981, vol. 81, no. 2, p. 297.CrossRef
7.
go back to reference Kochurova, N.N. and Rusanov, A.I., Relaxation of the surface properties of aqueous solutions of surfactants and the mechanism of adsorption, Russ. Chem. Rev., 1993, vol. 62, no. 12, p. 1083.CrossRef Kochurova, N.N. and Rusanov, A.I., Relaxation of the surface properties of aqueous solutions of surfactants and the mechanism of adsorption, Russ. Chem. Rev., 1993, vol. 62, no. 12, p. 1083.CrossRef
8.
go back to reference Shiryaeva, S.O. and Grigor’ev, A.I., On the influence of the surface tension relaxation effect on the spectrum of motion of a liquid with a charged free surface, Zh. Tekh. Fiz., 2000, vol. 70, no. 6, p. 31. Shiryaeva, S.O. and Grigor’ev, A.I., On the influence of the surface tension relaxation effect on the spectrum of motion of a liquid with a charged free surface, Zh. Tekh. Fiz., 2000, vol. 70, no. 6, p. 31.
9.
go back to reference Vincent, M.R.D., Petit, J., Aytouna, M., Delville, J.P., et al., Dynamic interfacial tension effects in the rupture of liquid necks, J. Fluid Mech., 2012, vol. 692, p. 499.CrossRef Vincent, M.R.D., Petit, J., Aytouna, M., Delville, J.P., et al., Dynamic interfacial tension effects in the rupture of liquid necks, J. Fluid Mech., 2012, vol. 692, p. 499.CrossRef
10.
go back to reference Landau, L.D. and Lifshits, E.M., Mekhanika sploshnykh sred (Continuum Mechanics), Moscow: Gostekhteorizdat, 1953. Landau, L.D. and Lifshits, E.M., Mekhanika sploshnykh sred (Continuum Mechanics), Moscow: Gostekhteorizdat, 1953.
11.
go back to reference Frenkel’, Ya.I., On Tonks’ theory of rupture of the surface of a liquid by a constant electric field in a vacuum, Zh. Eksp. Teor. Fiz., 1936, vol. 6, no. 4, p. 348. Frenkel’, Ya.I., On Tonks’ theory of rupture of the surface of a liquid by a constant electric field in a vacuum, Zh. Eksp. Teor. Fiz., 1936, vol. 6, no. 4, p. 348.
12.
go back to reference Sterlyadkin, V.V., Field measurements of vibrations of precipitation drops, Izv. Akad. Nauk SSSR. Ser. FAO, 1988, vol. 24, no. 6, p. 613. Sterlyadkin, V.V., Field measurements of vibrations of precipitation drops, Izv. Akad. Nauk SSSR. Ser. FAO, 1988, vol. 24, no. 6, p. 613.
13.
go back to reference Nayfeh, A.H., Perturbation Methods, Weinheim: Wiley-VCH, 1973. Nayfeh, A.H., Perturbation Methods, Weinheim: Wiley-VCH, 1973.
14.
go back to reference Rayleigh, F.R.S., On the equilibrium of liquid conducting masses charged with electricity, Philos. Mag., 1882, vol. 14, p. 184.CrossRef Rayleigh, F.R.S., On the equilibrium of liquid conducting masses charged with electricity, Philos. Mag., 1882, vol. 14, p. 184.CrossRef
16.
go back to reference Mazin, I.P. and Shmeter, S.M., Oblaka. Stroenie i fizika obrazovaniya (Clouds. Structure and Physics of Formation), Leningrad: Gidrometeoizdat, 1983. Mazin, I.P. and Shmeter, S.M., Oblaka. Stroenie i fizika obrazovaniya (Clouds. Structure and Physics of Formation), Leningrad: Gidrometeoizdat, 1983.
17.
go back to reference Mazin, I.P., Khrgian, A.Kh., and Imyanitov, I.M., Oblaka i oblachnaya atmosfera. Spravochnik (Clouds and Cloudy Atmosphere. Reference Book), Leningrad: Gidrometeoizdat, 1989. Mazin, I.P., Khrgian, A.Kh., and Imyanitov, I.M., Oblaka i oblachnaya atmosfera. Spravochnik (Clouds and Cloudy Atmosphere. Reference Book), Leningrad: Gidrometeoizdat, 1989.
18.
go back to reference Frenkel’, Ya.I., Kineticheskaya teoriya zhidkostei (Kinetic Theory of Liquids), Leningrad: Nauka, 1975. Frenkel’, Ya.I., Kineticheskaya teoriya zhidkostei (Kinetic Theory of Liquids), Leningrad: Nauka, 1975.
19.
go back to reference Kalechits, V.I., Nakhutin, I.E., and Poluektov, P.P., On the possible mechanism of radio emission from convective clouds, Dokl. Akad. Nauk SSSR, 1982, vol. 262, no. 6, p. 1344. Kalechits, V.I., Nakhutin, I.E., and Poluektov, P.P., On the possible mechanism of radio emission from convective clouds, Dokl. Akad. Nauk SSSR, 1982, vol. 262, no. 6, p. 1344.
20.
go back to reference Grigor’ev, A.I., Kolbneva, N.Yu., and Shiryaeva, S.O., Elektromagnitnoe izluchenie kapli, ostsilliruyushchei v grozovom oblake (Electromagnetic Radiation from a Drop Oscillating in a Thundercloud), Moscow–Berlin: Direkt-Media, 2021. Grigor’ev, A.I., Kolbneva, N.Yu., and Shiryaeva, S.O., Elektromagnitnoe izluchenie kapli, ostsilliruyushchei v grozovom oblake (Electromagnetic Radiation from a Drop Oscillating in a Thundercloud), Moscow–Berlin: Direkt-Media, 2021.
Metadata
Title
Dynamic Surface Tension of a Charged Spherical Water Droplet
Authors
A. I. Grigor’ev
N. Yu. Kolbneva
S. O. Shiryaeva
Publication date
01-04-2024
Publisher
Pleiades Publishing
Published in
Surface Engineering and Applied Electrochemistry / Issue 2/2024
Print ISSN: 1068-3755
Electronic ISSN: 1934-8002
DOI
https://doi.org/10.3103/S1068375524020054

Other articles of this Issue 2/2024

Surface Engineering and Applied Electrochemistry 2/2024 Go to the issue

Premium Partners