On Some Regularities in the Implementation of the Electrostatic Instability of a Charged Liquid Surface in a Pool of Finite Dimensions

IF 1 4区 工程技术 Q4 MECHANICS Fluid Dynamics Pub Date : 2024-01-27 DOI:10.1134/s0015462823602139
A. I. Grigor’ev, S. O. Shiryaeva, V. A. Koromyslov
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Abstract

The physical regularities of implementing the electrostatic instability of a flat charged surface of a noncompressible viscous conducting liquid are considered for the case of a pool of finite dimensions where the spectrum of emerging capillary waves is discrete. The critical conditions for the onset of the electrostatic instability of an uncompressible viscous conductive liquid in a pool of finite dimensions are shown to coincide with those for a boundless surface of an infinitely deep ideal uncompressible liquid (coincide with the conditions for implementing Tonks–Frenkel instability). This makes it possible to experimentally verify the criterion for implementing Tonks–Frenkel instability using pools of finite dimensions without introducing qualitative errors.

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关于有限尺寸水池中带电液面静电不稳定性的一些规律性问题
摘要 针对毛细管波频谱离散的有限尺寸水池,研究了不可压缩粘性导电液体带电平面静电不稳定性的物理规律。结果表明,有限尺寸水池中不可压缩粘性导电液体静电不稳定性发生的临界条件与无限深理想不可压缩液体的无边界表面的临界条件相吻合(与实现唐克斯-弗伦克尔不稳定性的条件相吻合)。这使得利用有限尺寸水池实验验证唐克斯-弗伦克尔不稳定性的实施标准成为可能,而不会引入定性误差。
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来源期刊
Fluid Dynamics
Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS
CiteScore
1.30
自引率
22.20%
发文量
61
审稿时长
6-12 weeks
期刊介绍: Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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