Lattice Boltzmann Simulation for the Optimized Surface Pattern in a Micro-Channel  

作　　者：王金凤 刘扬 许友生 吴锋民 

机构地区：[1]Department of Physics, Zhejiang Normal University, Jinhua 321004 [2]Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong

出　　处：《Chinese Physics Letters》2007年第10期2898-2901,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10572130, the Research Grants Council of the Government of the HKSAR under Grant No PolyU5231/06E, the National Basic Research Programs of China under grant 2006CB708612.

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.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.

关 键 词：BOUNDARY-CONDITIONS POROUS-MEDIA FLOW 

分 类 号：O4[理学—物理]