Lattice Boltzmann method and its application to thermal electro-osmotic flows in micro/nanochannels
by Dr Sean (Yong) Shi
Abstract: In this talk, I will introduce the basics of the lattice Boltzmann method, including its evolution equation of the distribution function, the expanded equilibrium, the quadratures of macroscopic variables and its isotropic lattice. The relationships between the lattice Boltzmann method, the kinetic Boltzmann equations and the macroscopic Navier-Stokes equations are also discussed. I will then introduce my work on simulation of thermal electro-osmotic flows in micro/nanochannels using the lattice Boltzmann method, in which a triple-distribution function model was developed to describe the electric potential distribution, velocity field and temperature distribution. Moreover, this proposed model was also modified with the finite difference scheme based on non-uniform grids and acceleration technique to achieve a better numerical performance. The mixed electro-osmotic/pressure-driven flow and heat transfer in micro/nanochannels were simulated by the model in details. Numerical results of the effects of Joule heating and viscous dissipation will be presented in this talk.
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