Instability of a Charged Droplet in an Inhomogeneous Electrostatic Field of a Rod of Finite Thickness
- 17 Downloads
The instability of a charged droplet of an ideal liquid in an inhomogeneous electrostatic field of a rod of finite thickness maintained at a constant electrostatic potential is investigated within the framework of analytic asymptotic calculations. It is shown that the mode amplitudes and the drop oscillation frequencies increase with the rod thickness. The critical conditions of instability of the droplet reduce by several times as compared with the critical conditions of implementation of its instability in the electrostatic field of an infinitely thin filament maintained at a constant electrostatic potential. An analytic dependence between the charge and field parameters, critical for implementation of the instability of a charged droplet in an inhomogeneous electrostatic field and dependent on the rod thickness, is found.
Key wordscharged droplet electrostatic field of a rod surface instability
Unable to display preview. Download preview PDF.
- 1.L. T. Matveev, Course of General Meteorology. Physics of the Atmosphere (Gidrometeoizdat, Leningrad, 1984) [in Russian].Google Scholar
- 17.V. V. Batygin and I. N. Toptygin, Book of Electrodynamic Problems (Nauka, Moscow, 1970) [in Russian].Google Scholar
- 19.D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975) [in Russian].Google Scholar
- 20.S. O. Shiryaeva, A. I. Grigor’ev, and A. A. Shiryaev, “On Instability of the nth Mode of Oscillations of a Charged Drop in a Homogeneous Electrostatic Field,” Zh. Tekhn. Fiz. 85 (1), 31–38 (2015).Google Scholar
- 21.S. O. Shiryaeva, “Characteristic Time of the Development of Instability of a Heavily Charged Low-Viscosity Droplet,” Pis’ma v Zh. Tekhn. Fiz. 26 (4), 5–8 (2000).Google Scholar
- 25.S. O. Shiryaeva, N. A. Petrushov, and A. I. Grigor’ev, “On the Interaction between Oscillation Modes of a Nonspherical Charged Drop Linear in the Dimensionless Amplitude in an External Electrostatic Field,” Zh. Tekhn. Fiz. 86 (1), 37–44 (2016).Google Scholar