Chaotic electro-convection flow states of a dielectric liquid between two parallel electrodes

TL;DR

This study investigates the transition from regular to chaotic electro-convective flow states in a dielectric liquid between parallel electrodes using a lattice Boltzmann method, revealing bifurcations and turbulence spectra.

Contribution

It introduces a detailed numerical analysis of electro-convective flow states and their bifurcations in a dielectric liquid using a two-relaxation-time lattice Boltzmann method.

Findings

Flow transitions from quasi-periodic to chaotic with increasing electric Rayleigh number

Turbulence kinetic energy spectrum follows -3 law near turbulence

Spectrum follows -5 law in periodic flow states

Abstract

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.