Numerical simulation of isothermal micro flows by lattice boltzmann method and theoretical analysis of the diffuse scattering boundary condition

International Journal of Modern Physics C

Volumn 16, Issue 12, 2005, Pages 1927-1941

  Niu, X D ^a   Shu, C ^a   Chew, Y T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Diffuse scattering boundary condition; Lattice Boltzmann; Micro flow

Indexed keywords

EID: 33344468701     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183105008448     Document Type: Article

References (32)

1. C. M. Ho and Y. C. Tai, Annu. Rev. Fluid Mech. 30, 579 (1998).
2. K. Gabriel, J. Javris and W. Trimmer, Small machine, large opportunities, Technical Report (NSF, 1998).
3. L. O'Connor, MEMS: Microelectromechanical systems, Mech. Eng. 114(2), 40 (1992).
4. S. A. Schaaf and P. L. Chambre, Flow of Rarefied Gases (Princeton University Press, Princeton, New Jersey, 1961).
5. J. Koplik and J. R. Banavar, Ann. Rev. Fluid Mech. 27, 257 (1995).
6. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Oxford Science Publications, 1994).
7. F. Sharipov and V. Seleznev, J. Phys. Chem. Ref. Data 27(3), 657 (1998).
8. T. Ohwada, Y. Sone and K. Aoki, Phys. Fluids A 1(12), 2042 (1989).
9. Y. H. Qian, D. d'Humiéres and P. Lallemand, Europhys. Lett. 17, 479 (1992).
10. S. Chen, H. Chen, D. Martinez and W. H. Mathaeus, Phys. Rev. Lett. 67, 3766 (1991).
11. X. He, S. Chen and G. D. Doolen, J. Comp. Phys. 146, 282 (1998).
12. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998).
13. X. He, Q. Zou, L.-S. Luo and M. Dembo, J. Stat. Phys. 87, 115 (1997).
14. C. Y. Lim, C. Shu, X. D. Niu and Y. T. Chew, Phys. Fluids 14, 2299 (2002).
15. X. Nie, G. D. Doolen and S. Chen, J. Stat. Phys. 107, 279 (2002).
16. R. Benzi, L. Biferale, M. Sbragaglia, S. Succi and F. Toschi, Mesoscopic Modeling of Heterogeneous Boundary Conditions for Microchannel Flows http://arxiv.org/PS_cache/nlin/pdf/0502/0502060.pdf
17. X. D. Niu, C. Shu and Y. T. Chew, Europhys. Lett. 67, 600 (2004).
18. S. Ansumali and I. V. Karlin, J. Stat. Phys. 107, 291 (2002).
19. J. C. Maxwell, The Scientific Papers of James Clerk Maxwell, Vol. 2, ed. W. D. Niven (Dover Publications, New York, 1952).
20. G. Cercignani, R. Illner and M. Pulvirenti, The Mathematical Theory of Dilute Gases (Springer Verlag, Berlin, 1994).
21. K. C. Pong, C. M. Huo, J. Liu and Y. C. Tai, Application of Microfabrication to Fluid Mechanics, ASME Winter Annual Meeting, Vol. 197 (1994), p. 51.
22. E. B. Arkilic, K. S. Breuer and M. A. Schmidt, J. Fluid Mech. 437, 29 (2001).
23. E. B. Arkilic, M. A. Schmidt and K. S. Breuer, Application of Microfabrication to Fluid Mechanics, ASME Winter Annu. Meet. Chicago, IL, Vol. 197 (1994), p. 51.
24. E. B. Arkilic, M. A. Schmidt and K. S. Breuer, J. MEMS 6, 167 (1997).
25. X. He and L.-S. Luo, Phys. Rev. E 55, 6333 (1997).
26. A. Beskok, Simulations and Models for Gas Flows in Micrigeometries, Ph.D. Thesis, UMI Dissertation Services (1996).
27. C. Shu, Y. T. Chew and X. D. Niu, Phys. Rev. E 64, 045701-1 (2001).
28. C. Shu, X. D. Niu and Y. T. Chew, Phys. R.ev. E 65, 036708-1 (2002).
29. Y. T. Chew, C. Shu and X. D. Niu, Int. J. Mod. Phys. C 13, 719 (2002).
30. Y. T. Hsia and G. A. Domoto, ASME J. Tribol. 105, 120 (1983).
31. E. Y. K. Ng, N. Liu and X. Mao, Phys. Fluids 14, 1450 (2002).
32. S. Fukui and R. Kaneko, ASME J. Tribol. 110, 253 (1988).