The separation of a uid from an immiscible liquid can be used in many natural ways. Traditional methods are currently used to accomplish this process. In this study, we attempted to investigate the e ect of changes in the geometric radius of the water droplet in the oil medium and applied voltage to provide outputs that can be used to better design water separating electro-lter for crude oil. Furthermore, the most important innovation of this article is to study considering the e ects of the presence and absence of Earth's gravity. The results of this work show that changes in geometry and voltage were e ective in the deformation and movement of the drops, but their e ects were not signi cant compared to the presence and absence of gravity. In other words, the e ect of considering Earth's gravity in this study tends to make the results realistic, and the results would not be comparable to those obtained in the absence of Earth's gravity.