Behavior of charged and uncharged bubbles in dielectric liquids subjected to electric stress

This paper is devoted to the calculation of the electric traction Pe acting at every point on the surface of a charged gas or liquid bubble immersed in an insulating liquid and subjected to an electric field between parallel-plate electrodes. It is shown that the deformation of a bubble charged or situated near the electrodes is not symmetric. This dissymmetry has been verified experimentally. The expression for Pe used in a previous work [C. G. Garton and Z. Krasucki, Proc. R. Soc. London Ser. A 280, 211 (1964)] represents a particular case (bubble uncharged or electrically neutral) of the one we have established. In this case, the shape of the distorted bubble is that of a prolate spheroid. This deformation of bubbles also depends on their concentration and positions in the electrode gap.