Simulation of RisingBubble under Electric Field using Lattice Boltzmann Method

The behavior of a bubble in dielectric viscous fluid under electrical field is numerically studied using the lattice Boltzmann method base on the Shan-Chen model. Deformation of the bubble is considered including the effects of buoyancy and electric forces induced from the external applied electric field. A computer code is written to solve the problem, which includes solving the flow field and electric field. To validate the results of the flow field, two tests have been employed: the free-bubble rising test and the Laplace test. In order to check the results of the electric field, the deformation of static drop under electric field is compared with two-dimensional Taylor equation. The comparison of results between present study and previous researches shows that there is a good agreement between the results. The results reveal that the electric field affects and controls the shape, velocity, and location of the bubble. For positive discriminating function, the rising bubble velocity decreases by increasing the electric capillary number, while the reverse trend is observed for negative discriminating function. In higher Eotvos numbers, the increase of electrical field causes the bubble break up for positive discriminating function. Also, larger difference function leads to bubble break up at lower electrical capillary numbers.