Criterion of a Charged Drop Instability in Electrostatic Suspension

CZU 532.59:534.1

The criterion of realization of instability of a charged drop, motionless in the superposition of gravitational and uniform electrostatic fields is derived in the analytical way. An analytical expression is found for the connection of the critical values of the Rayleigh parameter and the Taylor parameter, corresponding to the charge. It is revealed that the suspension when used to check the Rayleigh criterion cannot, in essence, give the exact size of the criterion.

Keywords: spheroidal drop, charge, electrostatic field, electrostatic suspension, criterion of instability.