Sloshing dynamics of a liquid contained in a rectangular basin subjected to a uniform electric field

摘要: Abstract The 3-D motion of a weak-viscous dielectric liquid inside partially-filled excited rectangular container in the presence uniform electric field is investigated using potential viscous theory. A Mathieu-like equation prescribe evolution modes reached. interaction between two surface considered. According to linear approach, normal and constant destabilize flow whereas tension stabilizes it. However, wave number plays dual role according waves kind. discussion for fixed points as well phase space time predicts case global instability due resonance condition β ˆ 1 = 0 . Also, it reveals an unstable forcing indicator detuning parameter tends enhance stability. approximate numerical solutions compare regard with qualitative behaviour. greater viscosity is, less important disturbances become. conclusion respect relative permittivity agrees that approach. paper concludes considering more higher-order nonlinear terms can increase accuracy results analytical method. In addition, device be designed achieve optimal conditions model stability by controlling available physical parameters.