粒子在锥形管中运动的晶格玻尔兹曼方法研究

薛泽; 施娟; 王立龙; 周锦阳; 谭惠丽; 李华兵

doi:10.7498/aps.62.084702

摘要

运用晶格玻尔兹曼方法对单个悬浮粒子在锥形管中的运动进行了数值计算, 给出了锥形管流体的速度分布和压力分布等. 粒子所受的流体作用力分别用动量交换法、改进的动量交换法和压力张量积分法进行计算. 分析了在不同初始位置释放的粒子的运动轨迹和速度变化情况, 结果表明压力张量积分法和改进的动量交换法的计算结果一致, 而没有改进的动量交换法的计算结果和前两者略有不同.

关键词:

Based on the lattice Boltzmann method, the motion of single suspended particle in tapered tube is simulated numerically. The distributions of velocity and pressure in the flow field are obtained. The hydrodynamic force on the particle boundary is evaluated by conventional momentum exchange method (CME), lattice-type-dependent momentum-exchange method (LME) and stress tensor integral method (STI) separately. The variations of velocity and the trajectory of the particle which starts at different places are analyzed, the results evaluated by LME are in excellent agreement with those by STI and the results evaluated by CME are slightly different from those by the former two methods.

Keywords:

lattice Boltzmann method /
tapered blood vessel /
suspended particle /
lattice-type-dependent momentum-exchange method

作者及机构信息

1.
桂林电子科技大学材料科学与工程学院, 桂林 541004;

2.
广西师范大学物理科学与技术学院, 桂林 541004

基金项目: 国家自然科学基金(批准号:11065006, 81060307)资助的课题.

Authors and contacts

1.
School of Material Science and Engineering, Guilin University of Electronic Technology, Guilin 541004, China;

2.
College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11065006, 81060307)．

参考文献

[1]	Chen S Y, Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
[2]	Fang H P, Lin Z F, Wang Z W 1998 Phys. Rev. E 57 25
[3]	Li H B 2004 Ph.D. Dissertation (Shanghai:Fudan University) (in Chinese) [李华兵 2004 博士学位论文 (上海:复旦大学)]
[4]	Li H B, Fang H P, Lin Z F, Xu S X, Chen S Y 2004 Phys. Rev. E 69 031919
[5]	Jayaw eera K O L F, Mason B J, Slack G W 1964 J. Fluid Mech. 20 121
[6]	Feng J, Hu H H, Joseph D D 1994 J. Fluid Mech. 261 95
[7]	Shi J, Li J, Qiu B, Li H B 2009 Acta Phys. Sin. 58 5174 (in Chinese) [施娟, 李剑, 邱冰, 李华兵 2009 物理学报 58 5174]
[8]	Li H B, Fang H P, Lin Z F, Xu S X, Chen S Y 2004 Phys. Rev. E 69 031919
[9]	Fang H P, Wang Z W, Lin Z F, Liu M R 2002 Phys. Rev. E 65 051925
[10]	Cen R J 1993 Biomechanics and Clinic Research (Guangzhou:South China University of Technology Press) p15 (in Chinese) [岑人经1993生物力学与临床研究(广州:华南理工大学出版社) 第15页]
[11]	Cen R J 1994 J. South China Univ. Technol. (Nat. Sci. Ed.) 22 150 [岑人经1994华南理工大学学报(自然科学版) 22 150]
[12]	Aidum C K, Lu Y, Ding E 1998 J. Fluid Mech. 373 287
[13]	He X, Doolen G D 1997 J. Comput. Phys. 134 306
[14]	Wen B H, Li H B, Zhang C Y, Fang H P 2012 Phys. Rev. E 85 016704
[15]	Chen H D, Chen S Y 1992 J. Phys. Rev. A 45 5339
[16]	Qian Y H, d'Humieres D, Lallemand P 1992 J. Europhys. Lett. 17 479
[17]	Zou Q, He X 1997 Phys. Fluids 9 1591
[18]	Ladd A J C 1994 J. Fluid Mech. 271 311
[19]	Filippova O, Hänel D 1997 Comput. Fluids 26 697
[20]	Inamuro T, Maeba K, Ogino F 2000 Int. J. Multiphase Flow 26 1981
[21]	Li H B, Lu X Y, Fang H P, Qian Y H 2004 Phys. Rev. E 70 026701
[22]	Allen M P, Tildesley D J 1987 Computer Simulation of Liquid (Oxford:Clarendon)
[23]	Sukop M C, Thorne Jr D T 2006 Lattice Boltzmann Modeling:An Introduction for Geoscientists and Engineers (Berlin:Springer) p8

施引文献

[1]	Chen S Y, Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
[2]	Fang H P, Lin Z F, Wang Z W 1998 Phys. Rev. E 57 25
[3]	Li H B 2004 Ph.D. Dissertation (Shanghai:Fudan University) (in Chinese) [李华兵 2004 博士学位论文 (上海:复旦大学)]
[4]	Li H B, Fang H P, Lin Z F, Xu S X, Chen S Y 2004 Phys. Rev. E 69 031919
[5]	Jayaw eera K O L F, Mason B J, Slack G W 1964 J. Fluid Mech. 20 121
[6]	Feng J, Hu H H, Joseph D D 1994 J. Fluid Mech. 261 95
[7]	Shi J, Li J, Qiu B, Li H B 2009 Acta Phys. Sin. 58 5174 (in Chinese) [施娟, 李剑, 邱冰, 李华兵 2009 物理学报 58 5174]
[8]	Li H B, Fang H P, Lin Z F, Xu S X, Chen S Y 2004 Phys. Rev. E 69 031919
[9]	Fang H P, Wang Z W, Lin Z F, Liu M R 2002 Phys. Rev. E 65 051925
[10]	Cen R J 1993 Biomechanics and Clinic Research (Guangzhou:South China University of Technology Press) p15 (in Chinese) [岑人经1993生物力学与临床研究(广州:华南理工大学出版社) 第15页]
[11]	Cen R J 1994 J. South China Univ. Technol. (Nat. Sci. Ed.) 22 150 [岑人经1994华南理工大学学报(自然科学版) 22 150]
[12]	Aidum C K, Lu Y, Ding E 1998 J. Fluid Mech. 373 287
[13]	He X, Doolen G D 1997 J. Comput. Phys. 134 306
[14]	Wen B H, Li H B, Zhang C Y, Fang H P 2012 Phys. Rev. E 85 016704
[15]	Chen H D, Chen S Y 1992 J. Phys. Rev. A 45 5339
[16]	Qian Y H, d'Humieres D, Lallemand P 1992 J. Europhys. Lett. 17 479
[17]	Zou Q, He X 1997 Phys. Fluids 9 1591
[18]	Ladd A J C 1994 J. Fluid Mech. 271 311
[19]	Filippova O, Hänel D 1997 Comput. Fluids 26 697
[20]	Inamuro T, Maeba K, Ogino F 2000 Int. J. Multiphase Flow 26 1981
[21]	Li H B, Lu X Y, Fang H P, Qian Y H 2004 Phys. Rev. E 70 026701
[22]	Allen M P, Tildesley D J 1987 Computer Simulation of Liquid (Oxford:Clarendon)
[23]	Sukop M C, Thorne Jr D T 2006 Lattice Boltzmann Modeling:An Introduction for Geoscientists and Engineers (Berlin:Springer) p8

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