Lattice boltzmann method for modeling microflow

Abstract

The lattice Boltzmann model is a novel method to simulate gaseous or liquid flows. It successfully fills the gap between the macroscopic description, the Navier-Stokes equation, and particle based methods, such as the direct simulation of Monte-Carlo. In the last years, the lattice Boltzmann model has attracted increasing attention in modeling flows in microfluidic devices. This area has developed rapidly. Microelectromechanical systems (MEMS), gaseous sensors, lab-on-chips produce significant grow in various areas of engineering and technology. In this paper, we give an overview of the lattice Boltzmann method and its key concepts. We review recent developments related to the field of microflows and microfluidics. Particular attention is paid for non-continuum behaviours observed at the micro-scale, such as the slip and jump of macroscopic variables in a micro-device. Finally, we provide further ideas and directions which can serve as targets of future developments. Beyond the lattice Boltzmann model, these ideas can stimulate progress and investment in applications and technology. © 2012 by Nova Science Publishers, Inc. All rights reserved.