Chaotic electro-convection flow states of a dielectric liquid between two parallel electrodes
Published in European Journal of Mechanics - B/Fluids, 2021
Recommended citation: Qi Wang, Yifei Guan, Junyu Huang, and Jian Wu. "Chaotic electro-convection flow states of a dielectric liquid between two parallel electrodes." European Journal of Mechanics - B/Fluids 89, Pages 332-348 (2021). https://doi.org/10.1016/j.euromechflu.2021.07.001
The two-dimensional regular and chaotic electro-convective flow states of a dielectric liquid between two infinite parallel planar electrodes are investigated using a two-relaxation-time lattice Boltzmann method. Positive charges injected at the metallic planar electrode located at the bottom of the dielectric liquid layer are transported towards the grounded upper electrode by the synergy of the flow and the electric field. The various flow states can be characterized by a non-dimensional parameter, the electric Rayleigh number. Gradually increasing the electric Rayleigh number, the flow system sequentially evolves via quasi-periodic, periodic, and chaotic flow states with five identified bifurcations. The turbulence kinetic energy spectrum is shown to follow the -3 law as the flow approaches turbulence. The spectrum is found to follow a -5 law when the flow is periodic.
Recommended citation: Qi Wang, Yifei Guan, Junyu Huang, and Jian Wu. “Chaotic electro-convection flow states of a dielectric liquid between two parallel electrodes.” European Journal of Mechanics - B/Fluids 89, Pages 332-348 (2021).