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Chin. Phys. B, 2013, Vol. 22(11): 114704    DOI: 10.1088/1674-1056/22/11/114704

Multi-relaxation time lattice Boltzmann simulation of inertial secondary flow in a curved microchannel

Sun Dong-Ke (孙东科), Xiang Nan (项楠), Jiang Di (姜迪), Chen Ke (陈科), Yi Hong (易红), Ni Zhong-Hua (倪中华)
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, School of Mechanical Engineering, Southeast University, Nanjing 211189, China
Abstract  The inertial secondary flow is particularly important for hydrodynamic focusing and particle manipulation in biomedical research. In this paper, the development of the inertial secondary flow structure in a curved microchannel was investigated by the multi relaxation time lattice Boltzmann equation model with a force term. The numerical results indicate that the viscous and inertial competition dominates the development of secondary flow structure development. The Reynolds number, Dean number, and the cross section aspect ratio influence significantly on the development of the secondary vortexes. Both the intensity of secondary flow and the distance between the normalized vortex centers are functions of Dean numbers but independent of channel curvature radius. In addition, the competition mechanism between the viscous and inertial effects were discussed by performing the particle focusing experiments. The present investigation provides an improved understanding of the development of inertial secondary flows in curved microchannels.
Keywords:  lattice Boltzmann method      multi relaxation time      microchannel      inertial secondary flow  
Received:  17 February 2013      Revised:  13 March 2013      Accepted manuscript online: 
PACS:  47.27.nd (Channel flow)  
  47.11.-j (Computational methods in fluid dynamics)  
  04.60.Nc (Lattice and discrete methods)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2011CB707601), the National Natural Science Foundation of China (Grant Nos. 51306037 and 51375089), and the National Science Foundation for Post-doctoral Scientists of China (Grant No. 2012M511647).
Corresponding Authors:  Sun Dong-Ke, Ni Zhong-Hua     E-mail:;

Cite this article: 

Sun Dong-Ke (孙东科), Xiang Nan (项楠), Jiang Di (姜迪), Chen Ke (陈科), Yi Hong (易红), Ni Zhong-Hua (倪中华) Multi-relaxation time lattice Boltzmann simulation of inertial secondary flow in a curved microchannel 2013 Chin. Phys. B 22 114704

[1] Gossett D R and Di Carlo D 2009 Anal. Chem. 81 8459
[2] Amini H, Sollier E, Weaver W M and Di Carlo D 2012 Proc. Natl. Acad. Sci. USA 109 11593
[3] McConalogue D J and Srivastava R S 1968 Proc. R. Soc. Lond. A 307 37
[4] Martel J M and Toner M 2012 Phys. Fluids 24 032001
[5] Petitjeans P, Aider J L and Wesfreid J E 1997 Exp. Fluids 23 388
[6] Yang Z X, Cui G X, Xu C X, Zhang Z S and Shao L 2012 Chin. Phys. Lett. 29 054702
[7] Yang W and Zhou K 2012 Chin. Phys. Lett. 29 064702
[8] Ookawara S, Street D and Ogawa K 2006 Chem. Eng. Sci. 61 3714
[9] Yoon D H, Ha J B, Bahk Y K, Arakawa T, Shoji S and Go J S 2009 Lab Chip 9 87
[10] Mao X L, Waldeisen J R and Huang T J 2007 Lab Chip 7 1260
[11] Luo L S, Liao W, Chen X, Peng Y and Zhang W 2011 Phys. Rev. E 83 056710
[12] d’Humiéres1 D 2002 Phil. Trans. R. Soc. Lond. A 360 437
[13] Kuzmin A, Guo Z L and Mohamad A A 2011 Phil. Trans. R. Soc. A 369 2219
[14] Xu A G, Zhang G C, Gan Y B, Chen F and Yu X J 2012 Front. Phys. 7 582
[15] Zhang J F 2011 Microfluid. Nanofluid. 10 1
[16] Sun D K, Xiang N, Chen K and Ni Z H 2013 Acta Phys. Sin. 62 024703(in Chinese)
[17] Chai Z H, Shi B C, Lu J H and Guo Z L 2010 Comput. Fluids 39 2069
[18] Boek E S and Venturoli M 2010 Comput. Math. Appl. 59 2305
[19] Chen F, Xu A G, Zhang G C, Li Y J and Succi S 2010 Europhys. Lett. 90 54003
[20] Guo Z L, Zheng C G and Shi B C 2002 Chin. Phys. 11 366
[21] Jiang B N, Lin T L and Povinelli L A 1994 Comput. Meth. Appl. Mech. Eng. 114 213
[22] Wong K L and Baker A J 2002 Int. J. Numer. Methods Fluids 38 99
[23] Maier R S, Bernard R S and Grunau D W 1996 Phys. Fluids 8 1788
[24] Ghia K N and Sokhey J S 1977 J. Fluids Eng. 99 640
[25] Asmolov E S 1999 J. Fluid Mech. 381 63
[26] Di Carlo D, Edd J F, Irimia D, Tompkins R G and Toner M 2008 Anal. Chem. 80 2204
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