Lattice Boltzmann simulation of dense gas flows in microchannels

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

Volumn 76, Issue 1, 2007, Pages

  Shi, Yong ^a   Zhao, T S ^a   Guo, Zhaoli ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF GASES; MATHEMATICAL MODELS; MICROCHANNELS; MOLECULAR DYNAMICS; MONTE CARLO METHODS;

BHATNAGAR-GROSS-KROOK MODEL; KNUDSEN NUMBER; LATTICE BOLTZMANN; MOLECULAR SPACING;

COMPUTER SIMULATION;

EID: 34547434083     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.016707     Document Type: Article

References (38)

1. G. E. Karniadakis and A. Beskok, Micro flows: Fundamental and Simulations (Springer-Verlag, New York, 2002).
2. C. Shen, Rarefied Gas Dynamics: Fundamentals, Simulation and Micro Flows (Springer-Verlag, Berlin, 2005).
3. H. S. Tsien, J. Aeronaut. Sci. JASCAR 0095-9812 13, 653 (1946).
4. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon Press, Oxford, 1994).
5. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases (Cambridge University Press, Cambridge, 1990).
6. H. Xue and S. Chen, Microscale Thermophys. Eng. MTENFP 1089-3954 10.1080/10893950390150449 7, 69 (2003).
7. M. Wang and Z. Li, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68. 046704 68, 046704 (2003).
8. F. Yan and B. Farouk, Microscale Thermophys. Eng. MTENFP 1089-3954 10.1080/10893950290098296 6, 235 (2002).
9. K. Xu and Z. Li, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112004009826 513, 87 (2004).
10. X. Nie, G. D. Doolen, and S. Chen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014523007427 107, 279 (2002).
11. X. Y. He, Q. S. Zou, L. S. Luo, and M. Dembo, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02181482 87, 115 (1997).
12. C. Y. Lim, C. Shu, X. D. Niu, and Y. T. Chew, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1483841 14, 2299 (2002).
13. S. Succi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.064502 89, 064502 (2002).
14. T. Lee and C. L. Lin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71. 046706 71, 046706 (2005).
15. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.026311 66, 026311 (2002).
16. G. H. Tang, W. Q. Tao, and Y. L. He, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1897010 17, 058101 (2005).
17. Z. L. Guo, T. S. Zhao, and Y. Shi, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2185839 99, 074903 (2006).
18. W. T. Kim, M. S. Jhon, Y. Zhou, I. Staroselsky, and H. Chen, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1852333 97, 10P304 (2005).
19. S. C. Kang, R. M. Crone, and M. S. Jhon, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.369810 85, 5594 (1999).
20. X. Y. He and L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.R6333 55, R6333 (1997).
21. X. Y. He and L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.6811 56, 6811 (1997).
22. Y. Shi, T. S. Zhao, and Z. L. Guo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.026704 73, 026704 (2006).
23. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, New York, 1964).
24. L. S. Luo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1618 81, 1618 (1998).
25. L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.4982 62, 4982 (2000).
26. H. Schlichting and K. Gersten, Boundary-Layer Theory (Springer-Verlag, Berlin, 2000).
27. Y. H. Qian, D. D'Humières, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 17, 479 (1992).
28. Z. L. Guo, C. Zheng, and T. S. Zhao, J. Sci. Comput. JSCOEB 0885-7474 10.1023/A:1013280900427 16, 569 (2001).
29. P. Lallemand and L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036706 68, 036706 (2003).
30. G. R. McNamara, A. L. Garcia, and B. J. Alder, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02179986 81, 395 (1995).
31. V. Sofonea and R. F. Sekerka, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2005.02.003 207, 639 (2005).
32. C. Cercignani, R. Illner, and M. Pulvirenti, The Mathematical Theory of Dilute Gases (Springer-Verlag, New York, 1994).
33. Z. L. Guo, C. G. Zheng, and B. C. Shi, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1471914 14, 2007 (2002).
34. C. Shen, D. B. Tian, C. Xie, and J. Fan, Microscale Thermophys. Eng. MTENFP 1089-3954 10.1080/10893950490516983 8, 423 (2004).
35. Z. L. Guo, C. G. Zhen, and B. C. Shi, Chin. Phys. CHPHF4 1009-1963 10.1088/1009-1963/11/4/310 11, 366 (2002).
36. E. B. Arkilic, M. A. Schmidt, and K. S. Breuer, J. Microelectromech. Syst. JMIYET 1057-7157 10.1109/84.585795 6, 167 (1997).
37. S. Ansumali, I. V. Karlin, C. E. Frouzakis, and K. B. Boulouchos, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.04.039 359, 289 (2006).
38. S. Chen, D. Martínez, and R. Mei, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869035 8, 2527 (1996).