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Advances in Mechanical Engineering
Volume 2010 (2010), Article ID 142879, 11 pages
http://dx.doi.org/10.1155/2010/142879
Research Article

Mesoscopic Modeling of Multiphysicochemical Transport Phenomena in Porous Media

Computational Earth Science Group, Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

Received 6 October 2009; Accepted 11 December 2009

Academic Editor: Chen Li

Copyright © 2010 Qinjun Kang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Pacala and R. Socolow, “Stabilization wedges: solving the climate problem for the next 50 years with current technologies,” Science, vol. 305, no. 5686, pp. 968–972, 2004. View at Publisher · View at Google Scholar · View at Scopus
  2. J. Bear, Dynamics of Fluids in Porous Media, Elsevier, New York, NY, USA, 1972.
  3. C.-Y. Wang, “Fundamental models for fuel cell engineering,” Chemical Reviews, vol. 104, no. 10, pp. 4727–4766, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. J. J. Baschuk and X. Li, “Modelling of polymer electrolyte membrane fuel cells with variable degrees of water flooding,” Journal of Power Sources, vol. 86, no. 1, pp. 181–196, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. L. You and H. Liu, “A two-phase flow and transport model for the cathode of PEM fuel cells,” International Journal of Heat and Mass Transfer, vol. 45, no. 11, pp. 2277–2287, 2002. View at Publisher · View at Google Scholar · View at Scopus
  6. W. He, J. S. Yi, and T. Van Nguyen, “Two-phase flow model of the cathode of PEM fuel cells using interdigitated flow fields,” AIChE Journal, vol. 46, no. 10, pp. 2053–2064, 2000. View at Scopus
  7. J. H. Nam and M. Kaviany, “Effective diffusivity and water-saturation distribution in single- and two-layer PEMFC diffusion medium,” International Journal of Heat and Mass Transfer, vol. 46, no. 24, pp. 4595–4611, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. S. Dutta, S. Shimpalee, and J. W. Van Zee, “Numerical prediction of mass-exchange between cathode and anode channels in a PEM fuel cell,” International Journal of Heat and Mass Transfer, vol. 44, no. 11, pp. 2029–2042, 2001. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Noponen, E. Birgersson, J. Ihonen, M. Vynnycky, A. Lundblad, and G. Lindbergh, “A two-phase non-isothermal PEFC model: theory and validation,” Fuel Cells, vol. 4, no. 4, pp. 365–377, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. Z. Wang, X. Wu, R. Ni, and Y. Wang, “Binocular fusion in Panum's limiting case of stereopsis obeys the uniqueness constraint,” Science in China, Series C, vol. 44, no. 1, pp. 40–48, 2001. View at Scopus
  11. S. Chen and G. D. Doolen, “Lattice boltzmann method for fluid flows,” Annual Review of Fluid Mechanics, vol. 30, pp. 329–364, 1998. View at Scopus
  12. M. Wang and S. Chen, “On applicability of Poisson-Boltzmann equation for micro- and nanoscale electroosmotic flows,” Communications in Computational Physics, vol. 3, no. 5, pp. 1087–1099, 2008. View at Scopus
  13. M. Wang, J. Liu, and S. Chen, “Similarity of electroosmotic flows in nanochannels,” Molecular Simulation, vol. 33, no. 3, pp. 239–244, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Wang, J. Liu, and S. Chen, “Electric potential distribution in nanoscale electroosmosis: from molecules to continuum,” Molecular Simulation, vol. 33, no. 15, pp. 1273–1277, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Elsevier, New York, NY, USA, 1959.
  16. C. Davidson and X. Xuan, “Electrokinetic energy conversion in slip nanochannels,” Journal of Power Sources, vol. 179, no. 1, pp. 297–300, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. Y. Ren and D. Stein, “Slip-enhanced electrokinetic energy conversion in nanofluidic channels,” Nanotechnology, vol. 19, no. 19, Article ID 195707, 2008. View at Publisher · View at Google Scholar · View at Scopus
  18. J.-F. Dufrêche, V. Marry, N. Malíková, and P. Turq, “Molecular hydrodynamics for electro-osmosis in clays: from Kubo to Smoluchowski,” Journal of Molecular Liquids, vol. 118, no. 1–3, pp. 145–153, 2005. View at Publisher · View at Google Scholar · View at Scopus
  19. L. Joly, C. Ybert, E. Trizac, and L. Bocquet, “Hydrodynamics within the electric double layer on slipping surfaces,” Physical Review Letters, vol. 93, no. 25, Article ID 257805, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  20. P. C. Lichtner, “Principles and practice of reactive transport modeling,” Materials Research Society Symposium Proceedings, vol. 353, no. 1, pp. 117–130, 1995. View at Scopus
  21. V. G. Levich, Physico-Chemical Hydrodynamics, Prentice-Hall, New York, NY, USA, 1962.
  22. B. Honig and A. Nicholls, “Classical electrostatics in biology and chemistry,” Science, vol. 268, no. 5214, pp. 1144–1149, 1995. View at Scopus
  23. P. C. Lichtner and Q. Kang, “Upscaling pore-scale reactive transport equations using a multiscale continuum formulation,” Water Resources Research, vol. 43, no. 12, Article ID W12S15, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. Z. Guo, B. Shi, and N. Wang, “Lattice BGK model for incompressible Navier-Stokes equation,” Journal of Computational Physics, vol. 165, no. 1, pp. 288–306, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. X. Shan and H. Chen, “Lattice Boltzmann model for simulating flows with multiple phases and components,” Physical Review E, vol. 47, no. 3, pp. 1815–1819, 1993. View at Publisher · View at Google Scholar · View at Scopus
  26. Q. Kang, D. Zhang, and S. Chen, “Displacement of a two-dimensional immiscible droplet in a channel,” Physics of Fluids, vol. 14, no. 9, pp. 3203–3214, 2002. View at Publisher · View at Google Scholar · View at Scopus
  27. Q. Kang, D. Zhang, and S. Chen, “Displacement of a three-dimensional immiscible droplet in a duct,” Journal of Fluid Mechanics, vol. 545, pp. 41–66, 2005. View at Publisher · View at Google Scholar · View at Scopus
  28. X. Shan and G. Doolen, “Diffusion in a multicomponent lattice Boltzmann equation model,” Physical Review E, vol. 54, no. 4, pp. 3614–3620, 1996. View at Scopus
  29. Q. Kang, P. C. Lichtner, and D. Zhang, “Lattice Boltzmann pore-scale model for multicomponent reactive transport in porous media,” Journal of Geophysical Research B, vol. 111, no. 5, Article ID B05203, 2006. View at Publisher · View at Google Scholar · View at Scopus
  30. S. P. Dawson, S. Chen, and G. D. Doolen, “Lattice Boltzmann computations for reaction-diffusion equations,” The Journal of Chemical Physics, vol. 98, no. 2, pp. 1514–1523, 1993. View at Scopus
  31. P. C. Lichtner, C. I. Steefel, and E. H. Oelkers, Eds., Reactive Transport in Porous Media, vol. 34 of Reviews in Mineralogy, P. H. Ribbe, Mineralogical Society of America, Washington, DC, USA, 1996.
  32. P. C. Lichtner, “Continuum model for simultaneous chemical reactions and mass transport in hydrothermal systems,” Geochimica et Cosmochimica Acta, vol. 49, no. 3, pp. 779–800, 1985. View at Scopus
  33. Q. Kang, P. C. Lichtner, and D. Zhang, “An improved lattice Boltzmann model for multicomponent reactive transport in porous media at the pore scale,” Water Resources Research, vol. 43, no. 12, Article ID W12S14, 2007. View at Publisher · View at Google Scholar · View at Scopus
  34. J. Wang, M. Wang, and Z. Li, “Lattice Poisson-Boltzmann simulations of electro-osmotic flows in microchannels,” Journal of Colloid and Interface Science, vol. 296, no. 2, pp. 729–736, 2006. View at Publisher · View at Google Scholar · View at Scopus
  35. M. Wang and S. Chen, “Electroosmosis in homogeneously charged micro- and nanoscale random porous media,” Journal of Colloid and Interface Science, vol. 314, no. 1, pp. 264–273, 2007. View at Publisher · View at Google Scholar · View at Scopus
  36. P. P. Mukherjee, C.-Y. Wang, and Q. Kang, “Mesoscopic modeling of two-phase behavior and flooding phenomena in polymer electrolyte fuel cells,” Electrochimica Acta, vol. 54, no. 27, pp. 6861–6875, 2009. View at Publisher · View at Google Scholar · View at Scopus
  37. M. Wang, N. Pan, J. Wang, and S. Chen, “Lattice Poisson-Boltzmann simulations of electroosmotic flows in charged anisotropic porous media,” Communications in Computational Physics, vol. 2, no. 6, pp. 1055–1070, 2007. View at Scopus
  38. M. Wang, J. Wang, and S. Chen, “Roughness and cavitations effects on electro-osmotic flows in rough microchannels using the lattice Poisson-Boltzmann methods,” Journal of Computational Physics, vol. 226, no. 1, pp. 836–851, 2007. View at Publisher · View at Google Scholar · View at Scopus