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Lattice Boltzmann Flow Models for Micro/Nano Fluidics

Kazuhiko Suga1,2, Takahiko Ito1
Department of Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan
Corresponding author:

Computer Modeling in Engineering & Sciences 2010, 63(3), 223-242.


Flow passages in micro/nano-electro-mechanical systems (MEMS/ -NEMS) usually have complicated geometries. The present study thus discusses on the latest lattice Boltzmann methods (LBMs) for micro/nano fluidics to evaluate their applicability to micro/nano-flows in complex geometries. Since the flow regime is the continuum to the slip and transitional regime with a moderate Knudsen number (Kn), the LBMs presently focused on feature the wall boundary treatment and the relaxation-time for modeling such flow regimes. The discussed micro flow (µ-flow) LBMs are based on the Bhatnagar-Gross-Krook (BGK) model and the multiple relaxation-time (MRT) model. The presently chosen µ-flow BGK LBM (BGK-1 model) consists of the diffuse-scattering wall condition with the single relaxation-time sensitized to the Knudsen number whereas them-flow MRT LBMs are combined with the diffusive bounce-back wall condition (MRT-1 model) and the bounce-back and specular-reflection condition (MRT-2 model). The simulated flow cases are canonical force-driven Poiseuille flows at 0.01 ≤ Kn ≤ 10 and a flow around an obstacle (a square cylinder) situated in a nanochannel at Kn≈0.1. The second-order truncated system (nine discrete velocity model for two dimensions: D2Q9 model) is applied for the simulations. The results show that the MRT models improve the performance of the BGK-1 model. It is also confirmed that the MRT-1 model is superior to the MRT-2 model for simulating micro/nano-flows with impinging and stagnating regions though further improvement is required, particularly, for predicting flow rates.


lattice Boltzmann method, Knudsen number, Poiseuille flow, obstacle flow.

Cite This Article

Suga, K., Ito, T. (2010). Lattice Boltzmann Flow Models for Micro/Nano Fluidics. CMES-Computer Modeling in Engineering & Sciences, 63(3), 223–242.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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