메뉴 건너뛰기




Volumn 147, Issue 1-2, 2007, Pages 69-78

A numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method

Author keywords

Darcy's law; Lattice Boltzmann method (LBM); Non Newtonian fluids; Porous structure; Power law fluids; Reentrant corner flow

Indexed keywords

BOLTZMANN EQUATION; CONVERGENCE OF NUMERICAL METHODS; INCOMPRESSIBLE FLOW; SHEAR DEFORMATION; SHEAR FLOW; SHEAR VISCOSITY;

EID: 35348883344     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.07.007     Document Type: Article
Times cited : (129)

References (31)
  • 1
    • 25744459324 scopus 로고
    • Use of the Boltzmann equation to simulate lattice-gas automata
    • McNamara G.R., and Zanetti G. Use of the Boltzmann equation to simulate lattice-gas automata. Phys. Rev. Lett. 61 (1988) 2332-2335
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2332-2335
    • McNamara, G.R.1    Zanetti, G.2
  • 2
    • 84956073211 scopus 로고
    • Lattice gas dynamics with enhanced collisions
    • Higuera F., Succi S., and Benzi R. Lattice gas dynamics with enhanced collisions. Europhys. Lett. 9 (1989) 345-349
    • (1989) Europhys. Lett. , vol.9 , pp. 345-349
    • Higuera, F.1    Succi, S.2    Benzi, R.3
  • 3
    • 84945118518 scopus 로고
    • Boltzmann approach to lattice gas simulations
    • Higuera F., and Jimenez J. Boltzmann approach to lattice gas simulations. Europhys. Lett. 9 (1989) 663-668
    • (1989) Europhys. Lett. , vol.9 , pp. 663-668
    • Higuera, F.1    Jimenez, J.2
  • 4
    • 25344468527 scopus 로고
    • Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
    • Chen H., Chen S., and Matthaeus W.H. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Phys. Rev. A 45 (1992) 5339-5342
    • (1992) Phys. Rev. A , vol.45 , pp. 5339-5342
    • Chen, H.1    Chen, S.2    Matthaeus, W.H.3
  • 5
  • 6
    • 13844320326 scopus 로고
    • The lattice Boltzmann equation: theory and applications
    • Benzi R., Succi S., and Vergassola M. The lattice Boltzmann equation: theory and applications. Phys. Rep. 222 (1992) 145-197
    • (1992) Phys. Rep. , vol.222 , pp. 145-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 7
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329-364
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 9
    • 33746387506 scopus 로고    scopus 로고
    • Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows
    • Inamuro T. Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows. Fluid Dyn. Res. 38 (2006) 641-659
    • (2006) Fluid Dyn. Res. , vol.38 , pp. 641-659
    • Inamuro, T.1
  • 10
    • 33645746793 scopus 로고    scopus 로고
    • Deformation of a surfactant-covered drop in a linear flow
    • Vlahovska P.M., Loewenberg M., and Blawzdziewicz J. Deformation of a surfactant-covered drop in a linear flow. Phys. Fluids 17 (2005) 103103
    • (2005) Phys. Fluids , vol.17 , pp. 103103
    • Vlahovska, P.M.1    Loewenberg, M.2    Blawzdziewicz, J.3
  • 11
    • 0037052226 scopus 로고    scopus 로고
    • The non-Newtonian rheology of dilute colloidal suspensions
    • Bergenholtz J., Brady J.F., and Vicic M. The non-Newtonian rheology of dilute colloidal suspensions. J. Fluid Mech. 456 (2002) 239-275
    • (2002) J. Fluid Mech. , vol.456 , pp. 239-275
    • Bergenholtz, J.1    Brady, J.F.2    Vicic, M.3
  • 12
    • 27644548690 scopus 로고    scopus 로고
    • Hybrid particulate and fibrous injection molded composites: Carbon black/carbon fiber/polypropylene systems
    • Drubetski M., Siegmann A., and Narkis M. Hybrid particulate and fibrous injection molded composites: Carbon black/carbon fiber/polypropylene systems. Polym. Compos. 26 (2005) 454-464
    • (2005) Polym. Compos. , vol.26 , pp. 454-464
    • Drubetski, M.1    Siegmann, A.2    Narkis, M.3
  • 13
    • 27644527509 scopus 로고    scopus 로고
    • Transient shear flow properties of carbon fiber-filled liquid crystalline polymer
    • Araki K., Kitano T., Lengalova A., and Saha P. Transient shear flow properties of carbon fiber-filled liquid crystalline polymer. Polym. Compos. 26 (2005) 470-476
    • (2005) Polym. Compos. , vol.26 , pp. 470-476
    • Araki, K.1    Kitano, T.2    Lengalova, A.3    Saha, P.4
  • 14
    • 12744269701 scopus 로고    scopus 로고
    • Recent advances of Lattice Boltzmann techniques on unstructured grids
    • Ubertini S., and Succi S. Recent advances of Lattice Boltzmann techniques on unstructured grids. Prog. Comput. Fluid Dyn. 5 (2005) 85-96
    • (2005) Prog. Comput. Fluid Dyn. , vol.5 , pp. 85-96
    • Ubertini, S.1    Succi, S.2
  • 15
    • 0027380854 scopus 로고
    • Non-Newtonian flow (through porous media): a lattice-Boltzmann method
    • Aharonov E., and Rothman D.H. Non-Newtonian flow (through porous media): a lattice-Boltzmann method. Geophys. Res. Lett. 20 (1993) 679-682
    • (1993) Geophys. Res. Lett. , vol.20 , pp. 679-682
    • Aharonov, E.1    Rothman, D.H.2
  • 17
    • 0000478593 scopus 로고    scopus 로고
    • Simulations of viscous flows of complex fluids with a Bhatnagar, Gross, and Krook lattice gas
    • Rakotomalala N., Salin D., and Watzky P. Simulations of viscous flows of complex fluids with a Bhatnagar, Gross, and Krook lattice gas. Phys. Fluids 8 (1996) 3200-3202
    • (1996) Phys. Fluids , vol.8 , pp. 3200-3202
    • Rakotomalala, N.1    Salin, D.2    Watzky, P.3
  • 19
    • 0007084967 scopus 로고    scopus 로고
    • A lattice Boltzmann model for Jeffreys viscoelastic fluid
    • Giraud L., d'Humières D., and Lallemand P. A lattice Boltzmann model for Jeffreys viscoelastic fluid. Europhys. Lett. 42 (1998) 625-630
    • (1998) Europhys. Lett. , vol.42 , pp. 625-630
    • Giraud, L.1    d'Humières, D.2    Lallemand, P.3
  • 20
    • 0037455606 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of the flow of non-Newtonian fluids in porous media
    • Boek E.S., Chin J., and Coveney P.V. Lattice Boltzmann simulation of the flow of non-Newtonian fluids in porous media. Int. J. Mod. Phys. B 17 (2003) 99-102
    • (2003) Int. J. Mod. Phys. B , vol.17 , pp. 99-102
    • Boek, E.S.1    Chin, J.2    Coveney, P.V.3
  • 21
    • 28844467175 scopus 로고    scopus 로고
    • Lattice Boltzmann method for non-Newtonian (power-law) fluids
    • Gabbanelli S., Drazer G., and Koplik J. Lattice Boltzmann method for non-Newtonian (power-law) fluids. Phys. Rev. E 72 (2005) 046312
    • (2005) Phys. Rev. E , vol.72 , pp. 046312
    • Gabbanelli, S.1    Drazer, G.2    Koplik, J.3
  • 22
    • 32944459291 scopus 로고    scopus 로고
    • Simulation of power-law fluid flow through porous media using lattice Boltzmann techniques
    • Sullivan S.P., Gladden L.F., and Johns M.L. Simulation of power-law fluid flow through porous media using lattice Boltzmann techniques. J. Non-Newtonian Fluid Mech. 133 (2006) 91-98
    • (2006) J. Non-Newtonian Fluid Mech. , vol.133 , pp. 91-98
    • Sullivan, S.P.1    Gladden, L.F.2    Johns, M.L.3
  • 24
    • 0029689748 scopus 로고    scopus 로고
    • Stability analysis of lattice Boltzmann methods
    • Sterling J.D., and Chen S. Stability analysis of lattice Boltzmann methods. J. Comput. Phys. 123 (1996) 196-206
    • (1996) J. Comput. Phys. , vol.123 , pp. 196-206
    • Sterling, J.D.1    Chen, S.2
  • 25
    • 7244226590 scopus 로고    scopus 로고
    • Investigation of stability and hydrodynamics of different lattice Boltzmann models
    • Niu X.D., Shu C., Chew Y.T., and Wang T.G. Investigation of stability and hydrodynamics of different lattice Boltzmann models. J. Stat. Phys. 117 (2004) 665-680
    • (2004) J. Stat. Phys. , vol.117 , pp. 665-680
    • Niu, X.D.1    Shu, C.2    Chew, Y.T.3    Wang, T.G.4
  • 26
    • 0037088021 scopus 로고    scopus 로고
    • A lattice kinetic scheme for incompressible viscous flows with heat transfer
    • Inamuro T. A lattice kinetic scheme for incompressible viscous flows with heat transfer. Philos. Trans. R. Soc. Lond. A 360 (2002) 477-484
    • (2002) Philos. Trans. R. Soc. Lond. A , vol.360 , pp. 477-484
    • Inamuro, T.1
  • 28
    • 35348908725 scopus 로고    scopus 로고
    • Y. Sone, Asymptotic theory of flow of rarefied gas over a smooth boundary II, in: D. Dini (Ed.), Rarefied Gas Dynamics, vol. 2, Editrice Tecnico Scientifica, Pisa, 1971, p. 737.
  • 29
    • 0001661904 scopus 로고    scopus 로고
    • Accuracy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number
    • Inamuro T., Yoshino M., and Ogino F. Accuracy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number. Phys. Fluids 9 (1997) 3535-3542
    • (1997) Phys. Fluids , vol.9 , pp. 3535-3542
    • Inamuro, T.1    Yoshino, M.2    Ogino, F.3
  • 30
    • 0037084419 scopus 로고    scopus 로고
    • Models for flow of non-Newtonian and complex fluids through porous media
    • Pearson J.R.A., and Tardy P.M.J. Models for flow of non-Newtonian and complex fluids through porous media. J. Non-Newtonian Fluid Mech. 102 (2002) 447-473
    • (2002) J. Non-Newtonian Fluid Mech. , vol.102 , pp. 447-473
    • Pearson, J.R.A.1    Tardy, P.M.J.2
  • 31
    • 0037144863 scopus 로고    scopus 로고
    • A 3D filtration law for power-law fluids in heterogeneous porous media
    • Fadili A., Tardy P.M.J., and Pearson J.R.A. A 3D filtration law for power-law fluids in heterogeneous porous media. J. Non-Newtonian Fluid Mech. 106 (2002) 121-146
    • (2002) J. Non-Newtonian Fluid Mech. , vol.106 , pp. 121-146
    • Fadili, A.1    Tardy, P.M.J.2    Pearson, J.R.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.