Lattice Boltzmann Simulation for the Optimized Surface Pattern in a Micro-Channel
WANG Jin-Feng1,2, LIU Yang2, XU You-Sheng1,2, WU Feng-Min1
1Department of Physics, Zhejiang Normal University, Jinhua 3210042Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong
Lattice Boltzmann Simulation for the Optimized Surface Pattern in a Micro-Channel
WANG Jin-Feng1,2;LIU Yang2;XU You-Sheng1,2;WU Feng-Min1
1Department of Physics, Zhejiang Normal University, Jinhua 3210042Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong
摘要Based on the Bhatangar--Gross--Krook (BGK) models, numerical simulation using the lattice Boltzmann model is performed to investigate the optimized surface pattern in a micro-channel. In order to simulate the practical situation correctly, a slip/no-slip boundary condition is applied with making several assumptions. To assess the validity and efficiency of the model, one benchmark problem with considering the surface patterns is studied. Numerical results show the value of rms velocity Vrms increases with the increasing ratio β and larger Reynolds number Re, higher fluctuation of the rms oscillating velocity. Furthermore, the results show that a good mixing effect can be obtained when Re is large enough and the ratio β is about 1.618, which is the appropriate choice, i.e. the well known golden section phenomenon.
Abstract：Based on the Bhatangar--Gross--Krook (BGK) models, numerical simulation using the lattice Boltzmann model is performed to investigate the optimized surface pattern in a micro-channel. In order to simulate the practical situation correctly, a slip/no-slip boundary condition is applied with making several assumptions. To assess the validity and efficiency of the model, one benchmark problem with considering the surface patterns is studied. Numerical results show the value of rms velocity Vrms increases with the increasing ratio β and larger Reynolds number Re, higher fluctuation of the rms oscillating velocity. Furthermore, the results show that a good mixing effect can be obtained when Re is large enough and the ratio β is about 1.618, which is the appropriate choice, i.e. the well known golden section phenomenon.
WANG Jin-Feng;LIU Yang;XU You-Sheng;WU Feng-Min. Lattice Boltzmann Simulation for the Optimized Surface Pattern in a Micro-Channel[J]. 中国物理快报, 2007, 24(10): 2898-2901.
WANG Jin-Feng, LIU Yang, XU You-Sheng, WU Feng-Min. Lattice Boltzmann Simulation for the Optimized Surface Pattern in a Micro-Channel. Chin. Phys. Lett., 2007, 24(10): 2898-2901.
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2007, Vol. 24 
