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Volumn 38, Issue 6, 2011, Pages 827-832

A novel modified lattice Boltzmann method for simulation of gas flows in wide range of Knudsen number

Author keywords

Knudsen minimum effect; Lattice Boltzmann method; Micro and nano flows; Rarefaction

Indexed keywords

EFFECTIVE DYNAMICS; FLOW REGIMES; GAS FLOWS; KNUDSEN; KNUDSEN NUMBERS; LATTICE BOLTZMANN METHOD; MICRO AND NANO FLOWS; NANO CHANNELS; NUMERICAL DATA; PRESSURE-DRIVEN FLOWS; RAREFACTION; VELOCITY PROFILES; VOLUMETRIC FLOW RATE;

EID: 79957847713     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2011.03.007     Document Type: Article
Times cited : (38)

References (42)
  • 3
    • 34249834360 scopus 로고
    • A convergence proof for Birds direct simulation Monte Carlo method for the Boltzmann equation
    • Wagner W. A convergence proof for Birds direct simulation Monte Carlo method for the Boltzmann equation. J. Stat. Phys. 1992, 66:1011-1044.
    • (1992) J. Stat. Phys. , vol.66 , pp. 1011-1044
    • Wagner, W.1
  • 4
    • 9744232189 scopus 로고    scopus 로고
    • Examination of the LBM in simulation of microchannel flow in transitional regime
    • Shen C., Tian D.B., Xie C., Fan J. Examination of the LBM in simulation of microchannel flow in transitional regime. Microscale Thermophys. Eng. 2004, 8(4):423-432.
    • (2004) Microscale Thermophys. Eng. , vol.8 , Issue.4 , pp. 423-432
    • Shen, C.1    Tian, D.B.2    Xie, C.3    Fan, J.4
  • 5
    • 0032632334 scopus 로고    scopus 로고
    • The fluid mechanics of microdevices
    • Gad-el-Hak M. The fluid mechanics of microdevices. J. Fluids Eng. 1999, 12(1):5-33.
    • (1999) J. Fluids Eng. , vol.12 , Issue.1 , pp. 5-33
    • Gad-el-Hak, M.1
  • 6
    • 27144465969 scopus 로고    scopus 로고
    • Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
    • Sbragaglia M., Succi S. Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. J. Phys. Fluids 2005, 17:093602.
    • (2005) J. Phys. Fluids , vol.17 , pp. 093602
    • Sbragaglia, M.1    Succi, S.2
  • 7
    • 19744369611 scopus 로고    scopus 로고
    • Simulation of gas flow in microchannels with a sudden expansion or contraction
    • Agrawal A., Djenidi L., Antonia R.A. Simulation of gas flow in microchannels with a sudden expansion or contraction. J. Fluid Mech. 2005, 530:135-144.
    • (2005) J. Fluid Mech. , vol.530 , pp. 135-144
    • Agrawal, A.1    Djenidi, L.2    Antonia, R.A.3
  • 8
    • 33645943380 scopus 로고    scopus 로고
    • Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for micro gas flows
    • Guo Z.L., Zhao T.S., Shi Y. Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for micro gas flows. J. Appl. Phys. 2006, 99:074903.
    • (2006) J. Appl. Phys. , vol.99 , pp. 074903
    • Guo, Z.L.1    Zhao, T.S.2    Shi, Y.3
  • 9
    • 36249008030 scopus 로고    scopus 로고
    • Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows
    • Guo Z.L., Shi B.C., Zhao T.S., Zheng C.G. Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows. Phys. Rev. E 2007, 76:056704.
    • (2007) Phys. Rev. E , vol.76 , pp. 056704
    • Guo, Z.L.1    Shi, B.C.2    Zhao, T.S.3    Zheng, C.G.4
  • 10
    • 41549112062 scopus 로고    scopus 로고
    • Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow
    • Guo Z.L., Zheng C.G., Shi B.C. Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow. Phys. Rev. E 2008, 77:036707.
    • (2008) Phys. Rev. E , vol.77 , pp. 036707
    • Guo, Z.L.1    Zheng, C.G.2    Shi, B.C.3
  • 12
    • 37649027266 scopus 로고    scopus 로고
    • Rarefaction and compressibility effects of the lattice Boltzmann equation method in a gas microchannel
    • Lee T., Lin C.L. Rarefaction and compressibility effects of the lattice Boltzmann equation method in a gas microchannel. Phys. Rev. E 2005, 71:046706.
    • (2005) Phys. Rev. E , vol.71 , pp. 046706
    • Lee, T.1    Lin, C.L.2
  • 13
    • 55549133585 scopus 로고    scopus 로고
    • Lattice Boltzmann modeling of microchannel flow in slip flow regime
    • Verhaeghe F., Luo L.S., Blanpain B. Lattice Boltzmann modeling of microchannel flow in slip flow regime. J. Comput. Phys. 2009, 228:147-157.
    • (2009) J. Comput. Phys. , vol.228 , pp. 147-157
    • Verhaeghe, F.1    Luo, L.S.2    Blanpain, B.3
  • 14
    • 33645687069 scopus 로고    scopus 로고
    • Kinetic theory representation of hydrodynamics: a way beyond Navier-Stokes equation
    • Shan X., Yuan X.-F., Chen H. Kinetic theory representation of hydrodynamics: a way beyond Navier-Stokes equation. J. Fluid Mech. 2006, 550:413-441.
    • (2006) J. Fluid Mech. , vol.550 , pp. 413-441
    • Shan, X.1    Yuan, X.-F.2    Chen, H.3
  • 15
    • 33750984258 scopus 로고    scopus 로고
    • Entropy and Galilean invariance of lattice Boltzmann theories
    • Chikatamarla S.S., Karlin I.V. Entropy and Galilean invariance of lattice Boltzmann theories. Phys. Rev. Lett. 2006, 97:190601.
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 190601
    • Chikatamarla, S.S.1    Karlin, I.V.2
  • 17
    • 49349085687 scopus 로고    scopus 로고
    • Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers
    • Kim S.H., Pitsch H.P., Boyd I.D. Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers. J. Comput. Phys. 2008, 227:8655-8671.
    • (2008) J. Comput. Phys. , vol.227 , pp. 8655-8671
    • Kim, S.H.1    Pitsch, H.P.2    Boyd, I.D.3
  • 18
    • 33750046359 scopus 로고    scopus 로고
    • Capturing Knudsen layer phenomena using a lattice Boltzmann model
    • Zhang Y.H., Gu X.J., Barber R.W., Emerson D.R. Capturing Knudsen layer phenomena using a lattice Boltzmann model. Phys. Rev. E 2006, 74:046704.
    • (2006) Phys. Rev. E , vol.74 , pp. 046704
    • Zhang, Y.H.1    Gu, X.J.2    Barber, R.W.3    Emerson, D.R.4
  • 19
    • 42549165251 scopus 로고    scopus 로고
    • Lattice Boltzmann models for nonequilibrium gas flows
    • Tang G.H., Zhang Y.H., Emerson D.R. Lattice Boltzmann models for nonequilibrium gas flows. Phys. Rev. E 2008, 77:046701.
    • (2008) Phys. Rev. E , vol.77 , pp. 046701
    • Tang, G.H.1    Zhang, Y.H.2    Emerson, D.R.3
  • 20
    • 61949345410 scopus 로고    scopus 로고
    • Lattice Boltzmann modeling Knudsen layer effect in non-equilibrium flows
    • Tang G.H., Zhang Y.H., Gu X.J., Emerson D.R. Lattice Boltzmann modeling Knudsen layer effect in non-equilibrium flows. EPL 2008, 83:40008.
    • (2008) EPL , vol.83 , pp. 40008
    • Tang, G.H.1    Zhang, Y.H.2    Gu, X.J.3    Emerson, D.R.4
  • 22
    • 79957802922 scopus 로고    scopus 로고
    • Thermal Lattice Boltzmann Two-Phase Flow Model for Fluid Dynamics, PhD Thesis, University of Pittsburgh
    • Y. Peng, Thermal Lattice Boltzmann Two-Phase Flow Model for Fluid Dynamics, PhD Thesis, University of Pittsburgh (2005).
    • (2005)
    • Peng, Y.1
  • 25
    • 26344468007 scopus 로고
    • A model for collision processes in gases
    • Bhatnagar P.L., Gross E.P., Krook M. A model for collision processes in gases. J. Phys. Rev. 1954, 94:511-525.
    • (1954) J. Phys. Rev. , vol.94 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 27
    • 0038735493 scopus 로고    scopus 로고
    • Lattice Boltzmann model of microfluidics with high Reynolds numbers in the presence of external forces
    • Li B., Wok D.K. Lattice Boltzmann model of microfluidics with high Reynolds numbers in the presence of external forces. Phys. Rev. Lett. 2003, 90:124502.
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 124502
    • Li, B.1    Wok, D.K.2
  • 28
    • 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
    • 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 A 1989, 1(12):2042-2049.
    • (1989) Phys. Fluids A , vol.1 , Issue.12 , pp. 2042-2049
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 30
    • 0000866303 scopus 로고
    • A survey of flow at low pressures
    • Thompson S.L., Owens W.R. A survey of flow at low pressures. Vacuum 1975, 25:151-156.
    • (1975) Vacuum , vol.25 , pp. 151-156
    • Thompson, S.L.1    Owens, W.R.2
  • 31
    • 0029296703 scopus 로고
    • Equivalent circuit model of the squeezed gas film in a silicon accelerometer
    • Veijola T., Kuisma H., Lahdenpera J., Ryhanen T. Equivalent circuit model of the squeezed gas film in a silicon accelerometer. Sens. Actuators, A 1995, 48:239-248.
    • (1995) Sens. Actuators, A , vol.48 , pp. 239-248
    • Veijola, T.1    Kuisma, H.2    Lahdenpera, J.3    Ryhanen, T.4
  • 32
    • 36149021726 scopus 로고
    • On gaseous self-diffusion in long capillary tubes
    • Polard W.G., Present R.D. On gaseous self-diffusion in long capillary tubes. Phys. Rev. 1948, 73(7):762-774.
    • (1948) Phys. Rev. , vol.73 , Issue.7 , pp. 762-774
    • Polard, W.G.1    Present, R.D.2
  • 33
    • 0141450124 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulations of fluid flows in MEMS
    • Nie X., Doolen D., Chen S. Lattice-Boltzmann simulations of fluid flows in MEMS. J. Stat. Phys. 2002, 107(1/2).
    • (2002) J. Stat. Phys. , vol.107 , Issue.1-2
    • Nie, X.1    Doolen, D.2    Chen, S.3
  • 34
    • 0037026130 scopus 로고    scopus 로고
    • Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis
    • Succi S. Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis. J. Phys. Rev. Lett. 2002, 89:064502.
    • (2002) J. Phys. Rev. Lett. , vol.89 , pp. 064502
    • Succi, S.1
  • 35
    • 32044470680 scopus 로고    scopus 로고
    • Mesoscopic modeling of heterogeneous boundary conditions for microchannel flows
    • Benzi R., Biferale L., Sbragaglia M., Succi S., Toschi F. Mesoscopic modeling of heterogeneous boundary conditions for microchannel flows. J. Fluid Mech. 2006, 548:257-280.
    • (2006) J. Fluid Mech. , vol.548 , pp. 257-280
    • Benzi, R.1    Biferale, L.2    Sbragaglia, M.3    Succi, S.4    Toschi, F.5
  • 36
    • 0033239234 scopus 로고    scopus 로고
    • A model for flows in channels, pipes and ducts at micro and nano scales
    • Beskok A., Karniadakis G.E. A model for flows in channels, pipes and ducts at micro and nano scales. Microscale Thermophys. Eng. 1999, 343-377.
    • (1999) Microscale Thermophys. Eng. , pp. 343-377
    • Beskok, A.1    Karniadakis, G.E.2
  • 37
    • 34547235541 scopus 로고    scopus 로고
    • Lattice kinetic theory as a form of supra-molecular dynamics for computational microfluidics
    • Succi S., Benzi R., Biferale L., Sbragaglia M., Toschi F. Lattice kinetic theory as a form of supra-molecular dynamics for computational microfluidics. Acad. Sci. Tech. Sci. 2007, 55(2).
    • (2007) Acad. Sci. Tech. Sci. , vol.55 , Issue.2
    • Succi, S.1    Benzi, R.2    Biferale, L.3    Sbragaglia, M.4    Toschi, F.5
  • 38
    • 0039718204 scopus 로고
    • Poiseuille flow and thermal creep of a rarefied gas between parallel plates
    • Kanki T., Iuchi S. Poiseuille flow and thermal creep of a rarefied gas between parallel plates. J. Phys. Fluids 1973, 16(5):594-599.
    • (1973) J. Phys. Fluids , vol.16 , Issue.5 , pp. 594-599
    • Kanki, T.1    Iuchi, S.2
  • 39
    • 4544236275 scopus 로고    scopus 로고
    • Variational approach to gas flows in microchannels
    • Cercignani C., Lampis M., Lorenzani S. Variational approach to gas flows in microchannels. J. Phys. Fluid 2004, 16:3426-3437.
    • (2004) J. Phys. Fluid , vol.16 , pp. 3426-3437
    • Cercignani, C.1    Lampis, M.2    Lorenzani, S.3
  • 40
    • 84977259887 scopus 로고
    • Die gesetze der molecular stromung und dieinneren reibungstromung der gase durchrohren
    • Knudsen M. Die gesetze der molecular stromung und dieinneren reibungstromung der gase durchrohren. Ann. Phys. 1909, 28:75-130.
    • (1909) Ann. Phys. , vol.28 , pp. 75-130
    • Knudsen, M.1
  • 41
    • 41349091193 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of rarefied gas flows in microchannels
    • Zhang Y., Qin R., Emerson D.R. Lattice Boltzmann simulation of rarefied gas flows in microchannels. Phys. Rev. Lett. 2005, 71:047702.
    • (2005) Phys. Rev. Lett. , vol.71 , pp. 047702
    • Zhang, Y.1    Qin, R.2    Emerson, D.R.3
  • 42


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