Three dimensional microscopic flow simulation across the interface of a porous wall and clear fluid by the lattice boltzmann method

Open Transport Phenomena Journal

Volumn 1, Issue 1, 2009, Pages 35-44

  Suga, Kazuhiko ^a   Nishio, Yoshifumi ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

Flow penetration; Laminar flow; Lattice boltzmann method; Porous wall; Porous wall friction; Slip velocity; Stress jump condition

Indexed keywords

EID: 77957722400     PISSN: None     EISSN: 18777295     Source Type: Journal    
DOI: 10.2174/1877729500901010035     Document Type: Article

References (28)

1. H.P.G. Darcy, Les Fontaines Publiques de la Ville de Dijon. Paris: Victor Dalmont, 1856.
2. G.S. Beavers, and D.D. Joseph, "Boundary conditions at a naturally permeable wall", J. Fluid Mech., vol. 30, pp.197-207, 1967.
3. N. Rudraiah, "Coupled parallel flows in a channel and a bounding porous medium of finite thickness", ASME Trans. J. Fluids Eng., vol.107, pp.322-329, 1985.
4. R.E. Larson, and J.J.L. Higdon, "Microscopic flow near the surface of two-dimensional porous media: Part 1. Axial flow", J. Fluid Mech., vol. 166, pp. 449-472, 1986.
5. M. Sahraoui, and M. Kaviany, "Slip and no-slip velocity boundary conditions at interface of porous, plain media", Int. J. Heat Mass Transfer, vol. 35, pp. 927-943, 1992.
6. A.J. Ochoa-Tapia, and S. Whitaker, "Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I.: Theoretical development, II: Comparison with experiment", Int. J. Heat Mass Transfer, vol. 38, pp. 2635-2655, 1995.
7. S.K. Gupte, and S.G. Advani, "Flow near the permeable boundary of a porous medium: An experimental investigation using LDA", Exp. Fluids, vol. 22, pp. 408-422, 1997.
8. D.F. James, and A.M.J. Davis, "Flow at the interface of a model fibrous porous medium", J. Fluid Mech., vol. 426, pp. 47-72, 2001.
9. W.P. Breugem, B.J. Boersma, and R.E. Uittenbogaard, "The laminar boundary layer over a permeable wall", Transp. Porous Med., vol. 59, pp. 267-300, 2005.
10. P.G. Saffman, "On the boundary condition at the surface of a porous medium", Stud. Appl. Math., vol. L, pp. 93-101, June 1971.
11. A.F.E. Zagni, and K.V.H. Smith, "Channel flow over permeable beds of graded spheres", J. Hydraul. Div., vol. 102, pp. 207-222, 1976.
12. H.J. Zippe, and W.H. Graf, "Turbulent boundary-layer flow over permeable and non-permeable rough surfaces", J. Hydraul. Res., vol. 21, pp. 51-65, 1983.
13. F.Y. Kong, and J.A Schetz, "Turbulent boundary layer over porous surfaces with different surface geometries", AIAA Paper 82-0030, 1982.
14. G.R. McNamara, and G. Zanetti, "Use of the lattice Boltzmann to simulate lattice-gas automata", Phys. Rev. Lett., vol. 61, pp. 2332-2335, 1988.
15. F.J. Higuera, and J. Jimenez, "Boltzmann approach to lattice gas simulations", Europhys. Lett., vol. 9, pp. 663-668, 1989.
16. N.S. Martys, and H. Chen, "Simulation of multi component fluids in complex three-dimensional geometries by the lattice Boltzmann method", Phys. Rev. E, vol. 53, pp. 743-751, 1996.
17. Y. Keehm, T. Mukerji, and A. Nur, "Permeability prediction from thin sections: 3D reconstruction and lattice-Boltzmann flow simulation", Geophys. Res. Let., vol. 31, L04606, 2004.
18. C. Pan, L.-S. Luo, and C.T. Miller, "An evaluation of lattice oltzmann schemes for porous medium flow simulation", Comput. Fluids, vol. 35, pp. 898-909, 2006.
19. P.L. Bhatnagar, E.P. Gross, and M. Krook, "A model for collision processes in gases: I. Small amplitude processes in charged and neutral one-component systems", Phys. Rev., vol. 94, pp. 511-525, 1954.
20. S. Chen, Z. Wang, X. Shan, and G.D. Doolen, "Lattice Boltzmann computational fluid dynamics in three dimensions", J. Stat. Phys., vol. 68, pp. 379-400, 1992.
21. M.A. Gallivan, D.R. Noble, J.G. Georgiades, and R.O. Buckius, "An evaluation of the bounce-back boundary condition for lattice Boltzmann simulations", Int. J. Numer. Meth. Fluids, vol. 25, pp. 249-263, 1997.
22. D.P. Ziegler, "Boundary conditions for lattice Boltzmann simulation", J. Stat. Phys., vol. 71, pp. 1171-1177, 1993.
23. K. Suga, T. Tanaka, Y. Nishio, and M. Murata, "A boundary reconstruction scheme for lattice Boltzmann flow simulation in porous media", Prog. Comput. Fluid Dyn., vol. 9, pp. 201-207, 2009.
24. D. d'Humieres, I. Ginzburg, M. Krafczyk, P. Lallemand, and L.-S. Luo, "Multiple-relaxation-time lattice Boltzmann models in three dimensions", Phil. Trans. R. Soc. Lond. A, vol. 360, pp. 437-451, 2002.
25. H.C. Brinkman, "A calculation of viscous force exerted by a flowing fluid on a dense swarm of particles", Appl. Sci. Res., vol. A1, pp. 27-34, 1949.
26. A. Bhattacharya, V.V. Calmidi, and R.L. Mahajan, "Thermophysical properties of high porosity metal foams", Int. J. Heat Mass Transf., vol. 45, pp. 1017-1031, 2002.
27. P. du Plessis, A. Montillet, J. Comiti, and J. Legrand, "Pressure drop prediction for flow through high porosity metallic foams", Chem. Eng. Sci., vol. 49, pp. 3545-3553, 1994.
28. B. Alazmi, and K. Vafai, "Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer", Int. J. Heat Mass Transf., vol. 44, pp. 1735-1749, 2001.