Об Устойчивости Сильно Заряженной Капли, Подвешенной В Суперпозиции Гравитационного И Электростатического Полей

Abstract

For strongly charged drop suspended in a fixed status in superposition gravitational and electrostatic fields, critical conditions of realization of its instability in relation to own and induced charges are found. All calculations are carried out in the fourth order of smallness on value of stationary deformation of spherical shape of a drop and first order on the dimensionless amplitude of its capillary oscillations. Dependences of values of critical parameters of Rayleigh and Taylor on radius, density, coefficient of surface tension, acceleration of the field of gravity and from number of a mode of oscillations, other than those for the free drop are found. With increase mode number the critical value of parameter of Rayleigh grows and comes to an asymptotic , and the critical value of Taylor parameter decreases and comes to an asymptotic . The specified changes and are explained by existence of a condition of immobility of the center of masses in a suspension connecting , and acceleration of the field of gravity.

On the Peculiarities of Realization of Electrostatic Instability of Charged Liquid Surface in Various Geometries

“…В итоге получим: [6][7][8][9][10][11][12]. Что касается теоретических трудов, то еще в прошлом веке начались работы по исследованию устойчивости заряженной капли, висящей в суперпозиции гравитационного и электростатического полей [40], которые продолжились последующие годы [41,42].…”