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Lattice kinetic theory as a form of supra-molecular dynamics for computational microfluidics

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Języki publikacji
EN
Abstrakty
EN
We present a review of recent technical developments in Lattice Boltzmann Equations, as applied to single-phase flows with and without slip lenghts at the wall and for multi-phase flows in presence of hydrophobic walls. The interplay between roughness and hydrophobicity is discussed for microfluidics application. The issue of finite Knudsen effects is also addressed.
Rocznik
Strony
151--158
Opis fizyczny
Bibliogr. 36 poz., rys.
Twórcy
autor
autor
autor
autor
  • Istituto per le Applicazioni del Calcolo CNR, 137 Policlinico Ave., 00161 Roma, Italy, succi@iac.cnr.it
Bibliografia
  • [1] R Benzi, S. Succi, and M. Vergassola, "The lattice Boltzmann equation: theory and applications", Phys. Rep. 222, 145-197 (1992).
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  • [3] R.R Nourgaliev, T.N. Dinh, T.G. Theofanous, and D. Joseph, "The lattice Boltzmann equation method: theoretical interpretation, numerics and implications", Int. J. Multiphase Flows 29, 117 (2003).
  • [4] U. Frisch, B. Hasslacher, and Y. Pomeau, "Lattice gag automata for the Navier-Stokes equations", Phys. Rev. Lett. 56, 1505 (1986).
  • [5] T.M. Squires and S.R Quake, "Microfluidics: fluid physics at the nanoliter scale", Rev. Mod. Phys. 77, 977-1026 (2005).
  • [6] L.S. Luo, "Discrete Boltzmann equation for microfluidics", Phys. Rev- Lett. 92, 139401 (2004).
  • [7] P. Tabeling, Introduction a la Microfiuidique, Paris, 2003.
  • [8] C. Cottin-Bizonne, C. Barentine, E. Charlaix, E. Boquet, and J.L. Barrat, "Dynamics of simple liquids at heterogeneous surfaces: molecular dynamics simulaitons and hydrodynamics description", Europ. Phys. Journ. E 15,427-438 (2004).
  • [9] X.B Nie, G.D Doolen, and S. Chan, "Lattice-Boltzmann simulations of fluid flows in MEMS", J. Stat. Phys. 107, 279 (2002).
  • [10] X.Y He, Q.S Zali, L.S Luo et al., "Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model", J. Stat. Phys. 87, 115 (1997).
  • [11] S. Ansumali and L. Karlin, "Kinetic boundary conditions in the lattice Boltzmann method", Phys. Rev. E 66, 026311 (2002).
  • [12] J.C. Maxwell, Phyl. Trans. R. Soc. 170, 231-256 (1889).
  • [13] S. Succi, "Mesoscopic modeling of slip motion at fluid solid interfaces with heterogeneous catalysis", Phys. Rev. Lett. 89, 064502 (2002).
  • [14] P. Lavallee, J.P Boon, and A. Noullez, "Boundaries in lattice gag flows", Physica D 47, 233 (1991).
  • [15] M. Sbragaglia and S. Succi, "Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions", Phys. of Fluids 17, 093602 (2005).
  • [16] R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, and F. Toschi, "Mesoscopic modelling of heterogeneous boundary conditions in microchannel flows", J. Fluid. Mech. 548, 257 (2006).
  • [17] Cercignani-Lampis, "Kinetic models for gas-surface interactions", Transp. Theory and Stat. Phys. 1, 101 (1971).
  • [18] R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, and F.Toschi , "Mesoscopic modeling of a two-phase flow in t presence of boundaries: the contact angle" , Phys. Rev. 75, 021509 (2006).
  • [19] E. Lauga and H. Stane, "Effective slip in pressure-driven stokes flow", J. Fluid. Mech. 489, 55 (2003).
  • [20] J. Philip, "Flow satisfying mixed no-slip and no-she. conditions", Z. Angew. Math. Phys. 23, 353-370 (1972)
  • [21] H.D. Chan, "Volumetric formulation of the lattice Boltzmann method for fluid dynamics: Basic concept", Phy. Rev. E 58, 3955, 1998.
  • [22] http://www.exa.com
  • [23] R.Y. Zhang and H.D. Chan, "Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation" Phys. Rev. E 74, 046703 (2006).
  • [24] J. Zhang and D.Y. Kwok, "Lattice Boltzmann study on the contact angle and contact line dynamics of liquid Vapour Interfaces", Langmuir 20, 8137-8141 (2004).
  • [25] R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, and F. Toschi, "Mesoscopic two-phase model for describing apparent slip in microchannel flows", Europhys. Lett. 74, 651 (2007).
  • [26} X. Shan and H. Chan, "Lattice Boltzmann model for simulating flows with multiple phases and components", Phys. Rev. E 47, 1815 (1993).
  • [27] O. Kuksenok, J.M. Yeomans, and A.C. Balazs, " Using patterned substrates to promote mixing in microchannels", Phys. Rev. E 65, 031502 (2002).
  • [28] M. Sbragaglia, R Benzi, L. Biferale, S. Succi, K Sugiyama, and F. Toschi, "Generalized lattice Boltzmann method with multi ranga pseudopotential", Phys. Rev. E 74, 021509 (2006).
  • [29] M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, and F. Toschi, "Surface roughness-hydrophobicity coupling in microchannel and nanochannel flows ", Phys. Rev. Lett. 97, 204503 (2006).
  • [30] C. Cottin-Bizonne, J.-L. Barrat, L. Bocquet, and E. Charlaix, "Low friction at nanopatterned interface", Nature Mater. 2, 237 (2003).
  • [31] S. Ansumali, LV. Karlin, C.E. Frouzakis et. al., "Entropic lattice Boltzmann method for microflows", Physica A 359, 289 (2006).
  • [32] D. Cornubert and D. d’Humieres, "A Knudsen-layer theory for lattice gases", Physica D 47, 241 (1991).
  • [33] X. Shan, " Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models", Phys. Rev. E 73, 047701 (2006).
  • [34] A. J. Briant, A. J. Wagner, and J. M. Yeomans, "Lattice Boltzmann simulations of contact line motion. I Liquid gas systems", Phys. Rev. E 69, 031602 (2004).
  • [35] S. Ansumali and L.V. Karlin, "Consistent lattice Boltzmann method", Phys. Rev. Lett. 95, 260605, (2005).
  • [36] G. Gonnella, A. Lamura, and V. Sofonea, Lattice Boltzmann method for thermal Liquid- Vapor Systems, (to be published)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0025-0031
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