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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.
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Keywords:
- lattice Boltzmann method /
- tapered blood vessel /
- suspended particle /
- lattice-type-dependent momentum-exchange method
[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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[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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