Cone-Jet Analytical Extension of Taylor's Electrostatic Solution and the Asymptotic Universal Scaling Laws in Electrospraying

An analytical cone-jet solution for the electrohydrodynamic atomization of liquids has been found for an asymptotic model assuming an infinitely long and thin emitted jet. Universal expressions for the emitted electric current, jet shape, charge distribution, surface charge, and other essential electrohydrodynamic quantities are obtained as functions of the liquid properties and the emitted liquid flow rate. The agreement with published experiments is good.