Abstract
The stability of a liquid jet subject to a transverse electric field is investigated in the framework of electrohydrostatic theory. It is shown that depending on the magnitude of permittivity ratio of the involved fluids S = εi/εo (inner to outer) compared to a critical permittivity ratio Scr ≈ 27.45 the jet exhibits distinct behaviors; for S < Scr the jet is stable and elongates indefinitely as the electric field is increased, while for S > Scr it shows hysteresis behavior and becomes unstable beyond a critical electric capillary number Cacr. The results suggest that the jets are generally more stable than liquid drops.
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