D. Koulovanenova et P. Atten, EHD INSTABILITY OF AIR LIQUID 2-LAYER SYSTEM UNDER UNIPOLAR CHARGE INJECTION/, Journal of electrostatics, 40-1, 1997, pp. 179-184
We examine the hydrodynamic instability of a layer of insulating liqui
d lying below a layer of air with free surface, the system being subje
cted to a unipolar injection. It is shown first that there is no surfa
ce charge at the air/liquid interface. A simple analysis of the static
instability is developed which leads to a criterion in the two cases
of weak and very strong injections in air. The usual convective instab
ility of the insulating liquid layer is then analysed taking into acco
unt the slight deformation of the interface.