Abstract
It is shown that jets of volumetrically charged dielectric liquids in the vicinity of point k = 0 are characterized by a finite range of wavenumbers, in which a jet exhibits bending instability. The interval of wavenumbers corresponding to unstable waves with azimuth number m = 1, as well as the increment of the most unstable wave and its wavenumber, increase in proportional to the electric charge per unit length of the jet and the permittivity of the liquid.
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References
R. Magarvey and L. Outhouse, J. Fluid Mech. 13, 151 (1962).
A. Huebner and H. Chu, J. Fluid Mech. 49, 361 (1971).
M. Cloupeau and B. Prunet Foch, J. Electrost. 25, 165 (1990).
A. Jaworek and A. Krupa, J. Aerosol Sci. 30, 873 (1999).
W. A. Macky, Proc. R. Soc. London, Ser. A 133, 565 (1931).
W. N. English, Phys. Rev. 74, 179 (1948).
J. Zeleny, Phys. Rev. 3, 69 (1914).
J. Zeleny, Phys. Rev. 10, 1 (1917).
S. O. Shiryaeva, A. I. Grigor’ev, and A. A. Svyatchenko, Preprint No. 25, IM RAN (Institute of Microelectronics and Informatics RAN, Yaroslavl’, 1993).
S. O. Shiryaeva, A. I. Grigor’ev, and M. V. Volkova, Spontaneous Capillary Disintegration of Charged Jets (Yaroslavsk. Gos. Univ., Yaroslavl’, 2007) [in Russian].
J. W. Strutt (Lord Rayleigh), Philos. Mag. 14, 184 (1882).
G. Taylor, Proc. R. Soc. London, Ser. A 313, 453 (1969).
D. Saville, Phys. Fluids 14, 1095 (1971).
S. O. Shiryaeva, A. I. Grigor’ev, T. V. Levchuk, and M. V. Rybakova, Zh. Tekh. Fiz. 73(4), 5 (2003) [Tech. Phys. 48, 527 (2003)].
S. O. Shiryaeva, A. I. Grigor’ev, and T. V. Levchuk, Zh. Tekh. Fiz. 73(11), 22 (2003) [Tech. Phys. 48, 1380 (2003)].
Ya. I. Frenkel’, Zh. Eksp. Teor. Fiz. 6, 348 (1936).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Pergamon, New York, 1984).
M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1971; Nauka, Moscow, 1979).
Yu. P. Raizer, Gas Discharge Physics (Nauka, Moscow, 1987; Springer, Berlin, 1991).
Chemist’s Handbook, Ed. by B. P. Nikol’skii (Khimiya, Leningrad, 1971), Vol. 1.
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Original Russian Text © S.O. Shiryaeva, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 4, pp. 24–31.
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Shiryaeva, S.O. On bending instability of a volumetrically charged capillary jet of dielectric liquids. Tech. Phys. 55, 457–463 (2010). https://doi.org/10.1134/S1063784210040043
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DOI: https://doi.org/10.1134/S1063784210040043