Abstract
A nonlinear (proportional to the vibration amplitude squared) decrease in the critical (in terms of instability) charge of a vibrating drop is found to be limited, as follows from third-order asymptotic calculations. This effect occurs when the spectrum of modes specifying the initial deformation of the drop contains, along with the fundamental mode, higher modes. The influence of the environment density on nonlinear corrections to the critical conditions for instability is analyzed.
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References
J. W. Strutt (Lord Rayleigh), Philos. Mag. 14, 184 (1882).
A. Doyle, D. R. Moffet, and B. Vonnegut, J. Colloid Sci. 19, 136 (1964).
T. G. O. Berg, R. J. Trainor, and U. Vaughan, J. Atmos. Sci. 27, 1173 (1970).
J. W. Schweizer and D. N. Hanson, J. Colloid Interface Sci. 35, 417 (1971).
M. Roulleau and M. Desbois, J. Atmos. Sci. 29, 565 (1972).
D. Duft, H. Lebius, B. A. Huber, et al., Phys. Rev. Lett. 89(8), 084503 (2002).
A. I. Grigor’ev and S. O. Shiryaeva, J. Aerosol Sci. 25, 1079 (1994).
A. I. Grigor’ev, Zh. Tekh. Fiz. 71(10), 1 (2001) [Tech. Phys. 46, 1205 (2001)].
J. A. Tsamopolous and R. A. Brown, J. Fluid Mech. 147, 373 (1984).
J. A. Tsamopolous, T. R. Akylas, and R. A. Brown, Proc. R. Soc. London, Ser. A 401, 67 (1985).
Z. C. Feng, J. Fluid Mech. 333, 1 1997).
A. N. Zharov, S. O. Shiryaeva, and A. I. Grigor’ev, Zh. Tekh. Fiz. 73(12), 9 (2003) [Tech. Phys. 48, 1511 (2003)].
A. N. Zharov, S. O. Shiryaeva, and A. I. Grigor’ev, Zh. Tekh. Fiz. 74(7), 19 (2004) [Tech. Phys. 49, 824 (2004)].
A. I. Grigor’ev, Zh. Tekh. Fiz. 55, 1272 (1985) [Sov. Phys. Tech. Phys. 30, 736 (1985)].
A. I. Grigor’ev and S. O. Shiryaeva, Zh. Tekh. Fiz. 61(3), 19 (1991) [Sov. Phys. Tech. Phys. 36, 258 (1991)].
A. I. Grigor’ev, Zh. Tekh. Fiz. 71(10), 1 (2001) [Tech. Phys. 46, 1457 (2001)].
K. V. Beard, Radio Sci. 19, 67 (1984).
I. P. Mazin, A. Kh. Khrgian, and I. M. Imyanitov, Clouds and Cloud Atmosphere: A Handbook (Gidrometeoizdat, Leningrad, 1989) [in Russian].
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 75, No. 8, 2005, pp. 44–53.
Original Russian Text Copyright © 2005 by Grigor’ev, Zharov, Shiryaeva.
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Grigor’ev, A.I., Zharov, A.N. & Shiryaeva, S.O. Effect of the initial deformation of a charged drop on nonlinear corrections to critical conditions for instability. Tech. Phys. 50, 1006–1015 (2005). https://doi.org/10.1134/1.2014530
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DOI: https://doi.org/10.1134/1.2014530