On Some Features of Liquid Dispersion: On the Break of the Constriction and a Drop Breaking Away from the Meniscus

Abstract— The article considers the physical patterns of electrodispersion of a viscous, incompressible, and electrically conductive liquid: the breaking of the constriction that connects the meniscus to the droplet that detaches from the meniscus during the development of “varicose” instability under the influence of axisymmetric forces: gravity, the force of electric repulsion between the droplet and the similarly charged meniscus, and the force of liquid pressure in the capillary. The fundamental fact is that the object of study is a small-cross-section constriction that connects a much larger detached droplet of the same liquid to a meniscus of approximately the same radius from which the droplet detaches. Thus, we are faced with a physical object that, in its dimensionless form, is difficult to calculate numerically, as it consists of different-scale parts of the same liquid with different dimensionless local viscosities.