Abstract
A lattice Boltzmann model for the axisymmetric electro–thermo-convection is proposed in this paper. The axisymmetric governing equations in the cylindrical coordinate system, including the Navier–Stokes equations, the energy equation, the conservation equation of charge density and the Poisson’s equation for electric potential, are solved by the lattice Boltzmann method in the Cartesian coordinate system. All additional source terms can be calculated locally. The present model is validated by three simple numerical examples. The electro–thermo-convection in an annulus between two coaxial vertical cylinders is also investigated by the present model. The effect of the electric Rayleigh number on heat transfer enhancement is discussed.
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