Rj. Turnbull, FINITE CONDUCTIVITY EFFECTS ON ELECTROSTATICALLY SPRAYED LIQUID JETS, IEEE transactions on industry applications, 32(4), 1996, pp. 837-843
Electrostatic spraying of drops is often characterized by the formatio
n of a thin jet. Experimentally, this jet appears to be stable over a
portion of its length. In this paper the capillary instability of a je
t of a conducting liquid is examined theoretically. The formation of s
uch a jet requires both an axial electric field and a surface charge.
A finite conductivity jet allows the charge and axial field to coexist
. The result is an electrical surface force with both normal and shear
ing components. For some values of field and charge, the capillary ins
tability of the jet is stabilized by the electrical forces. A charge d
ensity with no tangential field stabilizes the long wavelengths while
it makes the short wavelengths more unstable. On the other hand, a tan
gential electric field stabilizes the short wavelengths. Calculations
of the growth rate of instabilities for different values of the electr
ical parameters are presented.