Abstract
The dispersion equation for the capillary oscillations of a charged drop of viscous incompressible fluid of finite electrical conductivity with account for energy loss by electromagnetic-wave radiation is obtained. It is shown that the intensity of the energy loss associated with the electromagnetic radiation of the oscillating drop increases with its conductivity, charge and the surface mobility of the charge carriers. The intensity of the background radiation of a cumulus cloud is estimated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. I. Kalechits, I. E. Nakhutin, and P. P. Poluektov, “On a possible mechanism of radio-frequency radiation by convective clouds,” Dokl. Akad. Nauk SSSR, 262, No. 6, 1344–1347 (1982).
L.G. Kachurin, Physical Basis of Action on Atmospheric Processes [in Russian], Gidrometeoizdat, Leningrad (1990).
A. I. Grigor'ev, I.D. Grigor'eva, and S.O. Shiryaeva, “Ball lightning and St. Elmo's fire as forms of thunderstorm activity,” J. Scient. Exploration, 5, No. 2, 163–190 (1991).
A. I. Grigoryev and S. O. Shiryaeva, “Capillary instabilities of charged drop surfaces and electrodispersion of liquids (review),” Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 3–22 (1994).
A. I. Grigoryev, “Electrodispersion of a fluid with realization of the oscillatory instability of its free surface,” Zhurn. Tekhn. Fiz., 70, No. 5, 22–27 (2000).
D. F. Belonozhko and A. I. Grigoryev, “Division of charged drops into parts of comparable size in an external electric field (review),” Elektron. Obrab. Mater., No. 4, 17–28 (2000).
S. O. Shiryaeva, A. E. Lazaryants, et al., Method of Scalarization of Vector Boundary-Value Problems. Preprint No. 27 [in Russian], IMRAN, Yaroslavl (1994).
A. I. Grigoryev and S. O. Shiryaeva, “Capillary oscillations of a charged viscous fluid drop of finite conductivity,” Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 107–118 (1997).
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (M. Abramovitz and I. Stegun, eds.), Wiley, New York (1972).
A. I. Grigoryev and A. E. Lazaryants, “Rayleigh instability of a charged viscous drop,” Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 11–17 (1991).
C. D. Hendricks and J.M. Schneider, “Stability of conducting droplet under the influence of surface tension and electrostatic forces,” J. Amer. Phys., 31, No. 6, 450–453 (1963).
K.V. Beard, “Cloud and precipitation physics research 1983–1986,” Rev. Geophys., 25, No. 3, 357–370 (1987).
V.V. Sterlyadkin, “Field measurements of precipitation drop oscillations,” Izv. Akad. Nauk SSSR, Fizika Atmosfery i Okeana, 24, No. 6, 613–621 (1988).
Clouds and the Cloudy Atmosphere. Handbook (I. P. Mazin et al., eds.) [in Russian], Gidrometeoizdat, Leningrad (1989).
I. P. Mazin and S. M. Shmeter, Clouds: Structure and Physics of Formation [in Russian], Gidrometeoizdat, Leningrad (1983).
Rights and permissions
About this article
Cite this article
Grigoryev, A.I., Shiryaeva, S.O. Electromagnetic Radiation of an Oscillating Charged Viscous Drop of Finite Conductivity. Fluid Dynamics 37, 725–730 (2002). https://doi.org/10.1023/A:1021368202410
Issue Date:
DOI: https://doi.org/10.1023/A:1021368202410