Rarefaction and compressibility effects of the lattice-Boltzmann-equation method in a gas microchannel

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 4, 2005, Pages

  Lee, Taehun ^a   Lin, Ching Long ^a  

^a IA United States   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY EFFECTS; GAS MICROCHANNEL; LATTICE-BOLTZMANN-EQUATION (LBE); MACROSCOPIC FLUID FLOW;

BOUNDARY CONDITIONS; COMPRESSIBILITY; COMPUTER SIMULATION; HYDRODYNAMICS; MATHEMATICAL MODELS; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS; SURFACE ROUGHNESS; VELOCITY MEASUREMENT;

CHANNEL FLOW;

EID: 37649027266     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.046706     Document Type: Article

References (28)

1. Q. Zou and X. He, Phys. Fluids 9, 1591 (1997).
2. R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. 222, 145 (1992).
3. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998).
4. Y. Zohar, S. Y. K. Lee, W. Y. Lee, L. Jiang, and P. Tong, J. Fluid Mech. 472, 125 (2002).
5. K. C. Pong, C. M. Ho, J. Q. Liu, and Y. C. Tai, FED (Am. Soc. Mech. Eng.) 197, 51 (1994).
6. E. S. Oran, C. K. Oh, and B. Z. Cybyk, Annu. Rev. Fluid Mech. 30, 403 (1998).
7. A. Beskok, G. E. Karniadakis, and W. Trimmer, J. Fluids Eng. 118, 448 (1996).
8. X. Nie, G. D. Doolen, and S. Chen, J. Stat. Phys. 107, 279 (2002).
9. T. Lee and C.-L. Lin, J. Comput. Phys. 185, 445 (2003).
10. C. Y. Lim, C. Shu, X. D. Niu, and Y. T. Chew, Phys. Fluids 14, 2299 (2002).
11. S. Succi, Phys. Rev. Lett. 89, 064502 (2003).
12. X. Y. He, Q. S. Zou, L. S. Luo, and M. Dembo, J. Stat. Phys. 87, 115 (1997).
13. S. Ansumali and I. V. Karlin, Phys. Rev. E 66, 026311 (2002).
14. E. B. Arkilic, M. A. Schmidt, and K. S. Breuer, J. Microelectromech. Syst. 6, 167 (1997).
15. X. He, S. Chen, and G. D. Doolen, J. Comput. Phys. 146, 282 (1998).
16. T. Inamuro, M. Yoshino, and F. Ogino, Phys. Fluids 9, 3535 (1997).
17. Y.-H. Qian and S.-Y. Chen, Phys. Rev. E 61, 2712 (2000).
18. X. He, X. Shan, and G. D. Doolen, Phys. Rev. E 57, R13 (1998).
19. L. B. Loeb, The Kinetic Theory of Gases (McGraw-Hill Book Company, New York, 1934).
20. E. B. Arkilic, K. S. Breuer, and M. A. Schmidt, FED (Am. Soc. Mech. Eng.) 197, 57 (1994).
21. S. A. Schaaf and P. L. Chambré, Flow of Rarefied Gases (Princeton University Press, Princeton, NJ, 1961), pp. 10-11.
22. G. E. Karniadakis and A. Beskok, Micro Flows (Springer, Berlin, 2000).
23. S. Chen, D. Martinez, and R. Mei, Phys. Fluids 8, 2527 (1996).
24. J. H. Ferziger and M. Perić, Computational Methods for Fluid Dynamics (Springer, Berlin, 2002).
25. T. Ohwada, Y. Sone, and K. Aoki, Phys. Fluids A 1, 2042 (1989).
26. C. Cercignani, Rarefied Gas Dynamics (Cambridge University Press, Cambridge, U.K., 2000).
27. F. Toschi and S. Succi, Europhys. Lett. 69, 549 (2005).
28. Y. Zheng, A. Garcia, and B. Alder, J. Stat. Phys. 109, 495 (2002).