Instability of a Drop in Relation to Its Own or Polarizing Charges

Rezumat

CZU 532.62: 541.24

 

Regularities of a change of a potential energy of an oscillating, spherical, and virtually spheroidal drop on a threshold of a loss of stability in relation to its own charge are studied. A simple and physically transparent mathematical method is proposed for the assessment of the criterion on the order of the size based on the comparison of the potential energy of capillary and electrostatic forces for an uncharged drop in a uniform electrostatic field in which it takes the equilibrium form extended across the field of a spheroid for which there is no simple conclusion of criterion of instability in relation to a polarizing charge.

 

Keywords: spherical drop, charge, extended spheroidal drop, uniform electrostatic field, oscillation, emergency conditions of stability, potential energy.

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