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Volumn 24, Issue 2, 2012, Pages

Velocity slip coefficients based on the hard-sphere Boltzmann equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DISTRIBUTION FUNCTIONS; MAXWELL EQUATIONS; POLYNOMIALS;

EID: 84857724785     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3680873     Document Type: Article
Times cited : (43)

References (38)
  • 1
    • 0032632334 scopus 로고    scopus 로고
    • The fluid mechanics of microdevices - the Freeman scholar lecture
    • 10.1115/1.2822013.
    • Gad-el-Hak M. The fluid mechanics of microdevices - the Freeman scholar lecture. ASME Trans. J. Fluids Eng. 1999, 121:5. 10.1115/1.2822013.
    • (1999) ASME Trans. J. Fluids Eng. , vol.121 , pp. 5
    • Gad-el-Hak, M.1
  • 4
    • 37249021809 scopus 로고    scopus 로고
    • Boundary conditions for regularized 13-moment-equations for micro-channel-flows
    • 10.1016/j.jcp.2007.10.006.
    • Torrilhon M. Struchtrup H. Boundary conditions for regularized 13-moment-equations for micro-channel-flows. J. Comput. Phys. 2008, 227:1982. 10.1016/j.jcp.2007.10.006.
    • (2008) J. Comput. Phys. , vol.227 , pp. 1982
    • Torrilhon, M.1    Struchtrup, H.2
  • 5
    • 72549115893 scopus 로고    scopus 로고
    • A high-order moment approach for capturing non-equilibrium phenomena in the transition regime
    • 10.1017/S002211200900768X.
    • Gu X. Emerson D.R. A high-order moment approach for capturing non-equilibrium phenomena in the transition regime. J. Fluid. Mech. 2009, 636:177. 10.1017/S002211200900768X.
    • (2009) J. Fluid. Mech. , vol.636 , pp. 177
    • Gu, X.1    Emerson, D.R.2
  • 6
    • 76149130992 scopus 로고    scopus 로고
    • Analysis of the slip coefficient and defect velocity in the Knudsen layer of a rarefied gas using the linearized moment equations
    • 10.1103/PhysRevE.81.016313.
    • Gu X. Emerson D.R. Tang G. Analysis of the slip coefficient and defect velocity in the Knudsen layer of a rarefied gas using the linearized moment equations. Phys. Rev. E 2010, 81:016313. 10.1103/PhysRevE.81.016313.
    • (2010) Phys. Rev. E , vol.81 , pp. 016313
    • Gu, X.1    Emerson, D.R.2    Tang, G.3
  • 7
    • 76449099230 scopus 로고    scopus 로고
    • A moment method for low speed microflows
    • 10.1007/s00161-009-0128-y.
    • Frezzotti A. Gibelli L. Franzelli B. A moment method for low speed microflows. Continuum Mech. Thermodyn. 2009, 21(6):495. 10.1007/s00161-009-0128-y.
    • (2009) Continuum Mech. Thermodyn. , vol.21 , Issue.6 , pp. 495
    • Frezzotti, A.1    Gibelli, L.2    Franzelli, B.3
  • 8
    • 43849094166 scopus 로고    scopus 로고
    • On the modeling of isothermal gas flows at the microscale
    • 10.1017/S0022112008001158.
    • Lockerby D.A. Reese J.M. On the modeling of isothermal gas flows at the microscale. J. Fluid Mech. 2008, 604:253. 10.1017/S0022112008001158.
    • (2008) J. Fluid Mech. , vol.604 , pp. 253
    • Lockerby, D.A.1    Reese, J.M.2
  • 9
    • 33751574666 scopus 로고    scopus 로고
    • The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics
    • 10.1063/1.2393436.
    • Hadjiconstantinou N.G. The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics. Phys. Fluids 2006, 18:111301. 10.1063/1.2393436.
    • (2006) Phys. Fluids , vol.18 , pp. 111301
    • Hadjiconstantinou, N.G.1
  • 11
    • 0032362164 scopus 로고    scopus 로고
    • Data on internal rarefied gas flows
    • 10.1063/1.556019.
    • Sharipov F. Seleznev V. Data on internal rarefied gas flows. J. Phys. Chem. Ref. Data 1999, 27(3):657. 10.1063/1.556019.
    • (1999) J. Phys. Chem. Ref. Data , vol.27 , Issue.3 , pp. 657
    • Sharipov, F.1    Seleznev, V.2
  • 12
    • 0242468680 scopus 로고    scopus 로고
    • A phenomenological lubrification model for the entire Knudsen regime
    • 10.1088/0960-1317/13/6/310.
    • Bahukudumbi P. Beskok A. A phenomenological lubrification model for the entire Knudsen regime. J. Micromech. Microeng. 2003, 13:873. 10.1088/0960-1317/13/6/310.
    • (2003) J. Micromech. Microeng. , vol.13 , pp. 873
    • Bahukudumbi, P.1    Beskok, A.2
  • 13
    • 35348836133 scopus 로고    scopus 로고
    • A kinetic-theory based first order slip boundary condition for gas flow
    • 10.1063/1.2754373.
    • Shen S. Chen G. Crone R.M. Anaya-Dufresne M. A kinetic-theory based first order slip boundary condition for gas flow. Phys. Fluids 2007, 19(6):086101. 10.1063/1.2754373.
    • (2007) Phys. Fluids , vol.19 , Issue.6 , pp. 086101
    • Shen, S.1    Chen, G.2    Crone, R.M.3    Anaya-Dufresne, M.4
  • 14
    • 58149157622 scopus 로고    scopus 로고
    • A slip model for rarefied gas flows at arbitrary Knudsen number
    • 10.1063/1.3052923.
    • Wu L. A slip model for rarefied gas flows at arbitrary Knudsen number. Appl. Phys. Lett. 2008, 93:253103. 10.1063/1.3052923.
    • (2008) Appl. Phys. Lett. , vol.93 , pp. 253103
    • Wu, L.1
  • 15
    • 70049091579 scopus 로고    scopus 로고
    • Extending the Navier-Stokes solutions to transition regime in two-dimensional micro- and nanochannel flows using information preservation scheme
    • 10.1063/1.3177351.
    • Roohi E. Darbandi M. Extending the Navier-Stokes solutions to transition regime in two-dimensional micro- and nanochannel flows using information preservation scheme. Phys. Fluids 2009, 21:082001. 10.1063/1.3177351.
    • (2009) Phys. Fluids , vol.21 , pp. 082001
    • Roohi, E.1    Darbandi, M.2
  • 16
    • 0141538115 scopus 로고    scopus 로고
    • Second-order slip laws in microchannels for helium and nitrogen
    • 10.1063/1.1599355.
    • Maurer J. Tabeling P. Joseph P. Willaime H. Second-order slip laws in microchannels for helium and nitrogen. Phys. Fluids 2003, 15(9):2613. 10.1063/1.1599355.
    • (2003) Phys. Fluids , vol.15 , Issue.9 , pp. 2613
    • Maurer, J.1    Tabeling, P.2    Joseph, P.3    Willaime, H.4
  • 18
    • 27144465969 scopus 로고    scopus 로고
    • Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
    • 10.1063/1.2044829.
    • Sbragaglia M. Succi S. Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. Phys. Fluids 2005, 17:093602. 10.1063/1.2044829.
    • (2005) Phys. Fluids , vol.17 , pp. 093602
    • Sbragaglia, M.1    Succi, S.2
  • 19
    • 0000647537 scopus 로고
    • Kinetic theory of evaporation and condensation - Hydrodynamic equation and slip boundary condition
    • 10.1143/JPSJ.45.315.
    • Sone Y. Onishi Y. Kinetic theory of evaporation and condensation - Hydrodynamic equation and slip boundary condition. J. Phys. Soc. Jpn. 1978, 45:315. 10.1143/JPSJ.45.315.
    • (1978) J. Phys. Soc. Jpn. , vol.45 , pp. 315
    • Sone, Y.1    Onishi, Y.2
  • 20
    • 0029671666 scopus 로고    scopus 로고
    • Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
    • 10.1063/1.868846.
    • Sone Y. Aoki K. Takata S. Sugimoto H. Bobylev A.V. Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation. Phys. Fluids 1996, 8:628. 10.1063/1.868846.
    • (1996) Phys. Fluids , vol.8 , pp. 628
    • Sone, Y.1    Aoki, K.2    Takata, S.3    Sugimoto, H.4    Bobylev, A.V.5
  • 21
    • 0000812618 scopus 로고    scopus 로고
    • The Bénard problem for a rarefied gas: Formation of steady flow patterns and stability of array rolls
    • 10.1063/1.869489.
    • Sone Y. Aoki K. Sugimoto H. The Bénard problem for a rarefied gas: Formation of steady flow patterns and stability of array rolls. Phys. Fluids 1997, 9:3898. 10.1063/1.869489.
    • (1997) Phys. Fluids , vol.9 , pp. 3898
    • Sone, Y.1    Aoki, K.2    Sugimoto, H.3
  • 22
    • 0037366275 scopus 로고    scopus 로고
    • The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems
    • 10.1007/s000330300005.
    • Siewert C.E. The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems. Z. Angew. Math. Phys. 2003, 54:273. 10.1007/s000330300005.
    • (2003) Z. Angew. Math. Phys. , vol.54 , pp. 273
    • Siewert, C.E.1
  • 23
    • 0004168105 scopus 로고
    • Momentum and temperature-slip coefficients with arbitrary accommodation at the surface
    • 10.1063/1.1668235.
    • Loyalka S.K. Momentum and temperature-slip coefficients with arbitrary accommodation at the surface. J. Chem. Phys. 1968, 48:5432. 10.1063/1.1668235.
    • (1968) J. Chem. Phys. , vol.48 , pp. 5432
    • Loyalka, S.K.1
  • 24
    • 36549094315 scopus 로고
    • Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
    • 10.1063/1.857478.
    • Ohwada T. Sone Y. Aoki K. Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules. Phys. Fluids 1989, 1(12):2042. 10.1063/1.857478.
    • (1989) Phys. Fluids , vol.1 , Issue.12 , pp. 2042
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 25
    • 0029716909 scopus 로고    scopus 로고
    • Numerical analysis of the shear and thermal creep flows of a rarefied gas over the plane wall of a Maxwell-type boundary on the basis of the linearized Boltzmann equation for hard-sphere molecules
    • Wakabayashi M. Ohwada T. Golse F. Numerical analysis of the shear and thermal creep flows of a rarefied gas over the plane wall of a Maxwell-type boundary on the basis of the linearized Boltzmann equation for hard-sphere molecules. Eur. J. Mech. B/Fluids 1996, 15:175.
    • (1996) Eur. J. Mech. B/Fluids , vol.15 , pp. 175
    • Wakabayashi, M.1    Ohwada, T.2    Golse, F.3
  • 26
    • 33644801330 scopus 로고    scopus 로고
    • Challenges in modeling gas-phase flow in microchannels: from slip to transition
    • 10.1080/01457630500522271.
    • Barber R.W. Emerson D.R. Challenges in modeling gas-phase flow in microchannels: from slip to transition. Heat Transfer Eng. 2006, 27(4):3. 10.1080/01457630500522271.
    • (2006) Heat Transfer Eng. , vol.27 , Issue.4 , pp. 3
    • Barber, R.W.1    Emerson, D.R.2
  • 27
    • 77954488585 scopus 로고    scopus 로고
    • Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules
    • 10.1063/1.3435343.
    • Cercignani C. Lorenzani S. Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules. Phys. Fluids 2010, 22:062004. 10.1063/1.3435343.
    • (2010) Phys. Fluids , vol.22 , pp. 062004
    • Cercignani, C.1    Lorenzani, S.2
  • 28
    • 0001754746 scopus 로고
    • Second-order slip effects in Poiseuille flow
    • 10.1063/1.861485.
    • Lang H. Second-order slip effects in Poiseuille flow. Phys. Fluids 1976, 19(3):366. 10.1063/1.861485.
    • (1976) Phys. Fluids , vol.19 , Issue.3 , pp. 366
    • Lang, H.1
  • 29
    • 45349111149 scopus 로고
    • Plane Poiseuille flow: near continuum results for a rigid sphere gas
    • 10.1016/0378-4371(89)90449-4.
    • Loyalka S.K. Hickey K.A. Plane Poiseuille flow: near continuum results for a rigid sphere gas. Physica A 1989, 160:395. 10.1016/0378-4371(89)90449-4.
    • (1989) Physica A , vol.160 , pp. 395
    • Loyalka, S.K.1    Hickey, K.A.2
  • 30
    • 0009501439 scopus 로고
    • The Milne problem: A study of the mass dependence
    • 10.1103/PhysRevA.27.1657.
    • Lindenfeld M.J. Shizgal B.D. The Milne problem: A study of the mass dependence. Phys. Rev. A 1983, 27(3):1657. 10.1103/PhysRevA.27.1657.
    • (1983) Phys. Rev. A , vol.27 , Issue.3 , pp. 1657
    • Lindenfeld, M.J.1    Shizgal, B.D.2
  • 31
    • 0001022699 scopus 로고
    • Boundary value problem in kinetic theory of gases
    • 10.1016/0003-4916(57)90056-8.
    • Gross E.P. Jackson E.A. Ziering S. Boundary value problem in kinetic theory of gases. Ann. Phys. 1957, 1:141. 10.1016/0003-4916(57)90056-8.
    • (1957) Ann. Phys. , vol.1 , pp. 141
    • Gross, E.P.1    Jackson, E.A.2    Ziering, S.3
  • 32
    • 0000087598 scopus 로고
    • Rarefied gas channel flows for three molecular models
    • 10.1063/1.1761622.
    • Huang A.B. Stoy R.L. Rarefied gas channel flows for three molecular models. Phys. Fluids 1966, 9:2327. 10.1063/1.1761622.
    • (1966) Phys. Fluids , vol.9 , pp. 2327
    • Huang, A.B.1    Stoy, R.L.2
  • 33
    • 0026255331 scopus 로고
    • Numerical study of the strong evaporation of a binary mixture
    • 10.1016/0169-5983(91)90041-G.
    • Frezzotti A. Numerical study of the strong evaporation of a binary mixture. Fluid Dyn. Res. 1991, 8:175. 10.1016/0169-5983(91)90041-G.
    • (1991) Fluid Dyn. Res. , vol.8 , pp. 175
    • Frezzotti, A.1
  • 35
    • 58049195461 scopus 로고    scopus 로고
    • On the application of the Boltzmann equation to the simulation of fluid structure interaction in micro-electro-mechanical-systems
    • 10.1166/sl.2008.003.
    • Cercignani C. Frangi A. Frezzotti A. Ghiroldi G.P. Gibelli L. Lorenzani S. On the application of the Boltzmann equation to the simulation of fluid structure interaction in micro-electro-mechanical-systems. Sens. Lett. 2008, 6(1):121. 10.1166/sl.2008.003.
    • (2008) Sens. Lett. , vol.6 , Issue.1 , pp. 121
    • Cercignani, C.1    Frangi, A.2    Frezzotti, A.3    Ghiroldi, G.P.4    Gibelli, L.5    Lorenzani, S.6
  • 36
    • 0004852451 scopus 로고
    • The discrete ordinate method for the linearized boundary value problems in kinetic theory of gases
    • C.L.Brundin, in, edited by (Academic, New York)
    • Huang A.B. Giddens D.P. The discrete ordinate method for the linearized boundary value problems in kinetic theory of gases. Proceedings of the 5th International Symposium on Rarefied Gas Dynamics 1967, 1:481-486. C.L.Brundin, in edited by (Academic, New York)
    • (1967) Proceedings of the 5th International Symposium on Rarefied Gas Dynamics , vol.1 , pp. 481-486
    • Huang, A.B.1    Giddens, D.P.2
  • 37
    • 84857728619 scopus 로고    scopus 로고
    • A second-order slip model for arbitrary accommodation at the wall
    • Thessaloniki, Greece, 22-24 August
    • Gibelli L. A second-order slip model for arbitrary accommodation at the wall. Proceedings of 3rd Micro and Nano Flows Conference (MNF2011) 2011, 1-9. in Thessaloniki, Greece, 22-24 August
    • (2011) Proceedings of 3rd Micro and Nano Flows Conference (MNF2011) , pp. 1-9
    • Gibelli, L.1


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