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Rarefied gas flow over an in-line array of circular cylinders. (English) Zbl 1182.76740

Phys. Fluids 20, No. 6, Paper No. 067103, 16 p. (2008); erratum ibid. 20, No. 11, Paper No. 119901, 1 p. (2008).
Editorial remark: No review copy delivered.

MSC:

76-XX Fluid mechanics
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References:

[1] M. N. Kogan, Rarefied Gas Dynamics (Plenum, New York, 1969).
[2] C. Cercignani, The Boltzmann Equation and Its Applications (Springer-Verlag, Berlin, 1988). · Zbl 0646.76001
[3] C. Cercignani, Rarefied Gas Dynamics, From Basic Concepts to Actual Calculations (Cambridge University Press, Cambridge, 2000). · Zbl 0961.76002
[4] Y. Sone, Kinetic Theory and Fluid Dynamics, ”Modeling and Simulation in Science, Engineering and Technology” (Birkhäuser, Boston, 2002).
[5] Y. Sone, Molecular Gas Dynamics: Theory, Techniques, and Applications (Birkhäuser, Boston, 2006).
[6] G. M. Karniadakis and A. Beskok, Micro Flows: Fundamentals and Simulation (Springer-Verlag, New York, 2002). · Zbl 0998.76002
[7] G. Karniadakis, A. Beskok, and N. Aluru, Microflows and Nanoflows: Fundamentals and Simulation (Springer Science+Business Media, New York, 2005) · Zbl 1115.76003
[8] C. Cercignani, Slow Rarefied Flows: Theory and Application to Micro-Electro-Mechanical Systems (Birkhäuser, Basel, 2006). · Zbl 1097.82001
[9] DOI: 10.1063/1.2393436 · Zbl 1146.76400
[10] E. H. Kennard, Kinetic Theory of Gases (McGraw-Hill, New York, 1938).
[11] DOI: 10.1143/JPSJ.21.1836
[12] Y. Sone and K. Yamamoto, ”Flow of rarefied gas through a circular pipe,” Phys. FluidsPHFLE61070-6631 11, 1672 (1968). · Zbl 0182.28506
[13] DOI: 10.1063/1.857304 · Zbl 0695.76032
[14] DOI: 10.1063/1.857478 · Zbl 0696.76092
[15] DOI: 10.1063/1.1694102
[16] Y. Sone, in Annual Review of Fluid Mechanics (Annual Reviews, Palo Alto, 2000), p. 779.
[17] DOI: 10.1070/PU1976v019n05ABEH005261
[18] K. Aoki, Y. Sone, and N. Masukawa, in Rarefied Gas Dynamics, edited by J. Harvey and G. Lord (Oxford University Press, Oxford, 1995), p. 35.
[19] DOI: 10.1063/1.869461
[20] H. Sugimoto and Y. Sone, in Rarefied Gas Dynamics, edited by M. Capitelli (AIP, Melville, 2005), p. 168. · Zbl 1039.76520
[21] M. Knudsen, ”Eine revision der gleichgewichtsbedingung der gase. Thermische Molekularströmung,” Ann. Phys.ANPYA20003-3804 31, 205 (1910). · JFM 41.0876.02
[22] DOI: 10.1002/andp.19103381618
[23] G. Pham-Van-Diep, P. Keeley, E. P. Muntz, and D. P. Weaver, in Rarefied Gas Dynamics, edited by J. Harvey and G. Lord (Oxford University Press, Oxford, 1995), p. 715.
[24] DOI: 10.1063/1.869101 · Zbl 1027.76650
[25] S. E. Vargo and E. P. Muntz, in Rarefied Gas Dynamics, edited by C. Shen (Peking University Press, Peking, 1997), p. 995.
[26] M. L. Hudson and T. J. Bartel, in Rarefied Gas Dynamics, edited by R. Brun, R. Campargue, R. Gatignol, and J.-C. Lengrand (Cépaduès-Éditions, Toulouse, 1999), Vol. 1, p. 719.
[27] DOI: 10.1063/1.870432 · Zbl 1184.76522
[28] K. Aoki, Y. Sone, S. Takata, K. Takahashi, and G. A. Bird, in Rarefied Gas Dynamics, edited by T. J. Bartel and M. A. Gallis (AIP, Melville, 2001), p. 940.
[29] Y. Sone, T. Fukuda, T. Hokazono, and H. Sugimoto, in Rarefied Gas Dynamics, edited by T. J. Bartel and M. A. Gallis (AIP, Melville, 2001), p. 948.
[30] Y. Sone and H. Sugimoto, in Rarefied Gas Dynamics, edited by E. P. Muntz and A. Ketsdever (AIP, Melville, 2003), p. 1041. · Zbl 1039.76520
[31] Y. L. Han, M. Young, E. P. Muntz, and G. Shiflett, in Rarefied Gas Dynamics, edited by M. Capitelli (AIP, Melville, 2005), p. 162.
[32] M. Young, Y. L. Han, E. P. Muntz, and G. Shiflett, in Rarefied Gas Dynamics, edited by M. Capitelli (AIP, Melville, 2005), p. 174.
[33] DOI: 10.1137/S1540345902409931 · Zbl 1107.76060
[34] DOI: 10.1063/1.2798748 · Zbl 1182.76027
[35] DOI: 10.1016/j.euromechflu.2006.05.002 · Zbl 1124.76048
[36] M. Kayashima, Japan Patent No. 1513106 (27 July 1984).
[37] DOI: 10.1103/PhysRev.94.511 · Zbl 0055.23609
[38] P. Welander, ”On the temperature jump in a rarefied gas,” Ark. Fys.AFYSA70365-2440 7, 507 (1954). · Zbl 0057.23301
[39] M. N. Kogan, ”On the equations of motion of a rarefied gas,” Appl. Math. Mech.AMMEEQ0253-4827 22, 597 (1958).
[40] DOI: 10.1137/S1540345902411736 · Zbl 1078.76068
[41] A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures (North-Holland, Amsterdam, 1978). · Zbl 0404.35001
[42] DOI: 10.1063/1.522714
[43] E. W. Larsen,”Neutron transport and diffusion in inhomogeneous media. II,” Nucl. Sci. Eng.NSENAO0029-5639 60, 357 (1976).
[44] DOI: 10.1137/S0036139997332087 · Zbl 0964.35016
[45] DOI: 10.1081/PDE-100002237 · Zbl 0988.35023
[46] S. Fukui and R. Kaneko, ”Analysis of ultra-thin gas film lubrication based on linearized Boltzmann equation: First report-derivation of a generalized lubrication equation including thermal creep flow,” J. Tribol.JOTRE90742-4787 110, 253 (1988).
[47] DOI: 10.1116/1.578969
[48] DOI: 10.1116/1.579991
[49] C. Cercignani, M. Lampis, and S. Lorenzani, in Rarefied Gas Dynamics, edited by M. Capitelli (AIP, Melville, 2005), p. 719. · Zbl 1076.82041
[50] DOI: 10.1063/1.1867474 · Zbl 1187.76479
[51] E. A. Mason and A. P. Malinauskas, Gas Transport in Porous Media: The Dusty-Gas Model (Elsevier, Amsterdam, 1983).
[52] A. A. Shapiro, ”A kinetic theory of the filtration of rarified gas in an anisotropic porous media,” Theor. Found. Chem. Eng.TFCEAU0040-5795 27, 140 (1993).
[53] L. M. de Socio, N. Ianiro, and L. Marino, ”A model for the compressible flow through a porous medium,” Math. Models Meth. Appl. Sci.MMMSEU0218-2025 11, 1273 (2001). · Zbl 1178.76349
[54] DOI: 10.1007/s10955-006-9110-2 · Zbl 1112.82040
[55] DOI: 10.1007/BF01011911 · Zbl 0629.76079
[56] H. Babovsky, C. Bardos, and T. Platkowski, ”Diffusion approximation for a Knudsen gas in a thin domain with accommodation on the boundary,” Asymptotic Anal.ASANEZ0921-7134 3, 265 (1991). · Zbl 0850.76599
[57] DOI: 10.1137/0152062 · Zbl 0761.76089
[58] F. Golse, ”Anomalous diffusion limit for the Knudsen gas,” Asymptotic Anal.ASANEZ0921-7134 17, 1 (1998).
[59] DOI: 10.1007/BF02180210 · Zbl 0937.82042
[60] DOI: 10.1080/00411459208203796 · Zbl 0793.76078
[61] DOI: 10.1063/1.1694535 · Zbl 0272.76046
[62] DOI: 10.1063/1.858313
[63] DOI: 10.1063/1.858587 · Zbl 0792.76073
[64] DOI: 10.1063/1.858655 · Zbl 0806.76081
[65] DOI: 10.1063/1.868248 · Zbl 0832.76087
[66] DOI: 10.1063/1.868454 · Zbl 1039.76520
[67] S. Takata and Y. Sone, ”Flow induced around a sphere with a nonuniform surface temperature in a rarefied gas, with application to the drag and thermal force problems of a spherical particle with an arbitrary thermal conductivity,” Eur. J. Mech. B/FluidsEJBFEV0997-7546 14, 487 (1995). · Zbl 0962.76609
[68] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972), p. 1001. · Zbl 0543.33001
[69] DOI: 10.1063/1.857463 · Zbl 0661.76079
[70] Y. Sone, in Rarefied Gas Dynamics, edited by L. Trilling and H. Y. Wachman (Academic, New York, 1969), Vol. 1, p. 243. · Zbl 0925.76510
[71] DOI: 10.1143/JPSJ.29.495
[72] DOI: 10.1143/JPSJ.47.672
[73] Y. Sone, in Rarefied Gas Dynamics, edited by D. Dini (Editrice Tecnico Scientfica, Pisa, 1971), Vol. 2, p. 737. · Zbl 0245.76063
[74] Y. Sone, in Advances in Kinetic Theory and Continuum Mechanics, edited by R. Gatignol and Soubbaramayer (Springer-Verlag, Berlin, 1991), p. 19.
[75] DOI: 10.1063/1.868846 · Zbl 1027.76649
[76] DOI: 10.1063/1.869133
[77] DOI: 10.1016/S0997-7546(00)00110-2 · Zbl 0973.76076
[78] L. J. Klinkenberg, in Drilling and Production Practice (American Petroleum Institute, New York, 1941), p. 200.
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