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Erschienen in: Surface Engineering and Applied Electrochemistry 4/2023

01.08.2023

On the Interaction of Azimuthal Modes of Capillary Waves on the Surface of an Elliptic Jet in a Homogeneous Electrostatic Field

verfasst von: S. O. Shiryaeva, A. I. Grigor’ev

Erschienen in: Surface Engineering and Applied Electrochemistry | Ausgabe 4/2023

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Abstract

A study was made of the interaction of the first azimuthal modes of capillary waves on the surface of an elliptic jet in a homogeneous electrostatic field that is perpendicular to the axis of the jet. The interaction is nonlinear in the product of two independent small parameters. The interaction arises due to the ellipticity of the perpendicular cross-section of the jet and involves three azimuthal modes: either even or odd. The stability of the jet in the perpendicular homogeneous electrostatic field is lower than that of a jet in a radial electrostatic field. The characteristic destabilization time decreases with increasing initial amplitudes of the interacting modes and intensity of the external electrostatic field, and also depends on the wavenumber.

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Literatur
1.
Zurück zum Zitat Entov, V.M. and Yarin, A.L., Dynamics of free jets and films of viscous and rheologically complex liquids, Itogi Nauki Tekh., Ser.: Mekh. Zhidk. Gaza, 1984, vol. 17, p. 112. Entov, V.M. and Yarin, A.L., Dynamics of free jets and films of viscous and rheologically complex liquids, Itogi Nauki Tekh., Ser.: Mekh. Zhidk. Gaza, 1984, vol. 17, p. 112.
2.
Zurück zum Zitat Ametistov, E.V., Blazhenkov, V.V., Gorodov, A.K., et al., Monodispergirovanie veshchestva: printsipy i primenenie (Substance Monodispersion: Principles and Applications), Moscow: Energoatomizdat, 1991. Ametistov, E.V., Blazhenkov, V.V., Gorodov, A.K., et al., Monodispergirovanie veshchestva: printsipy i primenenie (Substance Monodispersion: Principles and Applications), Moscow: Energoatomizdat, 1991.
3.
4.
Zurück zum Zitat Gamero-Castano, M. and Hruby, V., Electric measurements of charged sprays emitted by cone-jets, J. Fluid Mech., 2002, vol. 459, p. 245.CrossRefMATH Gamero-Castano, M. and Hruby, V., Electric measurements of charged sprays emitted by cone-jets, J. Fluid Mech., 2002, vol. 459, p. 245.CrossRefMATH
5.
Zurück zum Zitat Amini, Gh., Lv, Yu, Dolatabadi, A., and Ihme, M., Instability of elliptic liquid jets: Temporal linear stability theory and experimental analysis, Phys. Fluids, 2014, vol. 26, p. 114105.CrossRef Amini, Gh., Lv, Yu, Dolatabadi, A., and Ihme, M., Instability of elliptic liquid jets: Temporal linear stability theory and experimental analysis, Phys. Fluids, 2014, vol. 26, p. 114105.CrossRef
6.
Zurück zum Zitat Strutt, J.W., The Theory of Sound, Cambridge: Cambridge Univ. Press, 1877. Strutt, J.W., The Theory of Sound, Cambridge: Cambridge Univ. Press, 1877.
7.
Zurück zum Zitat Grigor’ev, A.I. and Shiryaeva, S.O., Stability of capillary waves of arbitrary symmetry on a jet in a perpendicular uniform electrostatic field, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, 2021, no. 2, p. 29. Grigor’ev, A.I. and Shiryaeva, S.O., Stability of capillary waves of arbitrary symmetry on a jet in a perpendicular uniform electrostatic field, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, 2021, no. 2, p. 29.
8.
Zurück zum Zitat Frenkel’, Ya.I., Tonks’ theories about the discontinuity of the surface of a liquid by a constant electric field in vacuum, Zh. Eksp. Tekh. Fiz., 1936, vol. 6, no. 4, p. 348. Frenkel’, Ya.I., Tonks’ theories about the discontinuity of the surface of a liquid by a constant electric field in vacuum, Zh. Eksp. Tekh. Fiz., 1936, vol. 6, no. 4, p. 348.
9.
Zurück zum Zitat Taylor, G.I., Disintegration of water drops in an electric field, Proc. Roy. Soc. A, 1964, vol. 280, p. 383.MATH Taylor, G.I., Disintegration of water drops in an electric field, Proc. Roy. Soc. A, 1964, vol. 280, p. 383.MATH
10.
Zurück zum Zitat Landau, L.D. and Lifshits, E.M., Elektrodinamika sploshnykh sred (Electrodynamics of Continuous Media), Moscow: Nauka, 1992. Landau, L.D. and Lifshits, E.M., Elektrodinamika sploshnykh sred (Electrodynamics of Continuous Media), Moscow: Nauka, 1992.
11.
Zurück zum Zitat Landau, L.D. and Lifshits, E.M., Gidrodinamika (Hydrodynamics), Moscow: Nauka, 1986. Landau, L.D. and Lifshits, E.M., Gidrodinamika (Hydrodynamics), Moscow: Nauka, 1986.
12.
Zurück zum Zitat Landau, L.D. and Lifshits, E.M., Teoriya polya (Field Theory), Moscow: Nauka, 1973. Landau, L.D. and Lifshits, E.M., Teoriya polya (Field Theory), Moscow: Nauka, 1973.
13.
Zurück zum Zitat Nayfeh, A.H., Perturbation Methods, New York: Wiley, 1973.MATH Nayfeh, A.H., Perturbation Methods, New York: Wiley, 1973.MATH
14.
Zurück zum Zitat Levich, V.G., Fiziko-khimicheskaya gidrodinamika (Physical and Chemical Hydrodynamics), Moscow: Fizmatgiz, 1959. Levich, V.G., Fiziko-khimicheskaya gidrodinamika (Physical and Chemical Hydrodynamics), Moscow: Fizmatgiz, 1959.
15.
Zurück zum Zitat O’Konski, C.T. and Harris, F.E., Electric free energy and the deformation of droplets in electrically conducting system field, J. Phys. Chem., 1957, vol. 61, p. 1172.CrossRef O’Konski, C.T. and Harris, F.E., Electric free energy and the deformation of droplets in electrically conducting system field, J. Phys. Chem., 1957, vol. 61, p. 1172.CrossRef
16.
Zurück zum Zitat Spravochnik po spetsial’nym funktsiyam (Special Functions Reference Book), Moscow: Nauka, 1979. Spravochnik po spetsial’nym funktsiyam (Special Functions Reference Book), Moscow: Nauka, 1979.
17.
Zurück zum Zitat Shiryaeva, S.O., Petrushov, N.A., and Grigor’ev, A.I., On the interaction of modes of a nonspherical charged drop in an external electrostatic field, linear in the dimensionless amplitude of oscillations, Zh. Tekh. Fiz., 2016, vol. 86, no. 1, p. 37. Shiryaeva, S.O., Petrushov, N.A., and Grigor’ev, A.I., On the interaction of modes of a nonspherical charged drop in an external electrostatic field, linear in the dimensionless amplitude of oscillations, Zh. Tekh. Fiz., 2016, vol. 86, no. 1, p. 37.
18.
Zurück zum Zitat Grigor’ev, A.I., Electrostatic instability of a highly charged jet of an electrically conductive liquid, Zh. Tekh. Fiz., 2009, vol. 79, no. 4, p. 36. Grigor’ev, A.I., Electrostatic instability of a highly charged jet of an electrically conductive liquid, Zh. Tekh. Fiz., 2009, vol. 79, no. 4, p. 36.
19.
Zurück zum Zitat Cloupeau, M. and Prunet-Foch, B., Electrostatic spraying of liquids: Main functioning modes, J. Electrostatics, 1990, vol. 25, p. 165.CrossRef Cloupeau, M. and Prunet-Foch, B., Electrostatic spraying of liquids: Main functioning modes, J. Electrostatics, 1990, vol. 25, p. 165.CrossRef
20.
Zurück zum Zitat Cloupeau, M. and Prunet-Foch, B., Electrohydrodynamic spraying functioning modes: A critical review, J. Aerosol Sci., 1994, vol. 25, no. 6, p. 1021.CrossRef Cloupeau, M. and Prunet-Foch, B., Electrohydrodynamic spraying functioning modes: A critical review, J. Aerosol Sci., 1994, vol. 25, no. 6, p. 1021.CrossRef
21.
Zurück zum Zitat Jaworek, A. and Krupa, A., Classification of the modes of EHD spraying, J. Aerosol Sci., 1999, vol. 30, no. 7, p. 873.CrossRef Jaworek, A. and Krupa, A., Classification of the modes of EHD spraying, J. Aerosol Sci., 1999, vol. 30, no. 7, p. 873.CrossRef
22.
Zurück zum Zitat Grigor’ev, A.I. and Shiryaeva, S.O., Electrostatic instability of high azimuthal modes of a charged jet, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, 2021, no. 3, p. 48. Grigor’ev, A.I. and Shiryaeva, S.O., Electrostatic instability of high azimuthal modes of a charged jet, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, 2021, no. 3, p. 48.
23.
Zurück zum Zitat Kim, O.V. and Dunn, P.F., Control production by in-flight electrospraying, Langmuir, 2010, vol. 26, p. 15807.CrossRef Kim, O.V. and Dunn, P.F., Control production by in-flight electrospraying, Langmuir, 2010, vol. 26, p. 15807.CrossRef
24.
Zurück zum Zitat Brekhovskikh, L.M. and Goncharov, V.V., Vvedenie v mekhaniku sploshnykh sred (v prilozhenii k teorii voln) (Introduction to Continuum Mechanics (As Applied to Wave Theory)), Moscow: Nauka, 1982. Brekhovskikh, L.M. and Goncharov, V.V., Vvedenie v mekhaniku sploshnykh sred (v prilozhenii k teorii voln) (Introduction to Continuum Mechanics (As Applied to Wave Theory)), Moscow: Nauka, 1982.
Metadaten
Titel
On the Interaction of Azimuthal Modes of Capillary Waves on the Surface of an Elliptic Jet in a Homogeneous Electrostatic Field
verfasst von
S. O. Shiryaeva
A. I. Grigor’ev
Publikationsdatum
01.08.2023
Verlag
Pleiades Publishing
Erschienen in
Surface Engineering and Applied Electrochemistry / Ausgabe 4/2023
Print ISSN: 1068-3755
Elektronische ISSN: 1934-8002
DOI
https://doi.org/10.3103/S1068375523040130

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