title: Lattice Boltzmann model for Coulomb-driven flows in dielectric liquids.
abstract: In this paper, we developed a unified lattice Boltzmann model (LBM) to simulate electroconvection in a dielectric liquid induced by unipolar charge injection. Instead of solving the complex set of coupled Navier-Stokes equations, the charge conservation equation, and the Poisson equation of electric potential, three consistent lattice Boltzmann equations are formulated. Numerical results are presented for both strong and weak injection regimes, and different scenarios for the onset and evolution of instability, bifurcation, and chaos are tracked. All LBM results are found to be highly consistent with the analytical solutions and other numerical work.
authors.affiliation: School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
authors.forename: Kang
authors.initials: K
authors.lastname: Luo
authors.affiliation: GeoRessources Laboratory, Université de Lorraine (ENSG), CNRS, CREGU, F-54501, Vandoeuvre-les-Nancy, France.
authors.forename: Jian
authors.initials: J
authors.lastname: Wu
authors.affiliation: School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
authors.forename: Hong-Liang
authors.initials: HL
authors.lastname: Yi
authors.affiliation: School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
authors.forename: He-Ping
authors.initials: HP
authors.lastname: Tan