Table of Contents
ISRN Applied Mathematics
Volume 2012, Article ID 695167, 24 pages
http://dx.doi.org/10.5402/2012/695167
Research Article

Modeling and Behavior Analysis of a Membraneless Fuel Cell

Engineering Department, Instituto Tecnologico y de Estudios Superiores de Monterrey, Campus Hidalgo, Boulevard Felipe Angeles 2003, 42080 Pachuca, HGO, Mexico

Received 9 September 2011; Accepted 3 October 2011

Academic Editors: J. R. Fernandez and C. Lu

Copyright © 2012 Ciro-Filemon Flores-Rivera. 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. A. van den Berg and T. S. J. Lammerink, “Micro total analysis systems: microfluidic aspects, integration concept and applications,” Microsystem Technology in Chemistry and Life Science, vol. 194, pp. 21–29, 1998. View at Publisher · View at Google Scholar
  2. E. R. Choban, L. J. Markoski, A. Wieckowski, and P. J.A. Kenis, “Microfluidic fuel cell based on laminar flow,” Journal of Power Sources, vol. 128, no. 1, pp. 54–60, 2004. View at Publisher · View at Google Scholar
  3. D. D. Macdonald, “Electrochemical engineering,” in Encyclopedia of Electrochemistry, D. Digby, A. J. Bard, and M. Stratmann, Eds., vol. 5, Wiley-VCH, Cambridge, UK, 2002-2004. View at Google Scholar
  4. L. Carrete, K. A. Friedrich, and U. Stimming, “Fuel cells—fundamentals and applications,” Fuel Cells, vol. 1, no. 1, pp. 5–39, 2001. View at Publisher · View at Google Scholar
  5. M. H. Oddy and J. G. Santiago, “Multiple-species model for electrokinetic instability,” Physics of Fluids, vol. 17, no. 6, Article ID 064108, 17 pages, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. R. Ferrigno, A. D. Stroock, T. D. Clark, M. Mayer, and G. M. Whitesides, “Membraneless vanadium redox fuel cell using laminar flow,” Journal of the American Chemical Society, vol. 124, no. 44, pp. 12930–12931, 2002. View at Publisher · View at Google Scholar
  7. S. G. Meibuhr, “The handbook of environmental chemistry,” Electrochimica acta, vol. 11, pp. 1301–1320, 1966. View at Publisher · View at Google Scholar
  8. L. H. Juarez-Valencia, C. F. Flores-Rivera, E. Ramos-Mora and, and J. Nuñez, “Fuel cells: navier-stokes and poisson-nernst-planck equations,” in Proceedings of the I Workshop on Asymptotics for Parabolic and Hyperbolic Systems (WAPHS '08), pp. 137–149, National Laboratory of Scientific Computing, Petrópolis, Brazil, 2008.
  9. B. R. Munson, Fundamentals of Fluid Mechanics, John Wiley & Sons, Hoboken, NJ, USA, 2006.
  10. J. Melcher, Continuum Electromechanics, MIT Press, Cambridge, Mass, USA, 1981.
  11. J. D. Jackson, Classical Electrodynamics, John Wiley & Sons, New York, NY, USA, 2nd edition, 1975.
  12. R. F. Probstein, Physicochemical Hydrodynamics: An Introduction, Wiley-Interscience, Hoboken, NJ, USA, 2nd edition, 2003.
  13. M. Z. Bazant, K. T. Chu, and B. J. Bayly, “Current-voltage relations for electrochemical thin films,” SIAM Journal on Applied Mathematics, vol. 65, no. 5, pp. 1463–1484, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. J. Newman, Electrochemical Systems, Prentice Hall, Englewood Cliffs, NJ, USA, 1991.
  15. A. J. Bard and L. Faulkner, Electrochemical Methods, Fundamentals and Applications, John Wiley & Sons, New York, NY, USA, 1980.
  16. C. F. Flores-Rivera, Computational modeling of problems in fluid mechanics, Ph.D. dissertation, Department of Mathematics, Division of Basic Sciences and Engineering, Universidad Autonoma Metropolitana, Xochimilco, Mexico, 2009.
  17. H. Lin, B. D. Storey, M. H. Oddy, C. -H. Chen, and J. G. Santiago, “Instability of electrokinetic microchannel flows with conductivity gradients,” Physics of Fluids, vol. 16, no. 6, pp. 1922–1935, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  18. R. A. Robinson and R. H. Stokes, Electrolyte Solutions, Dover, Mineola, NY, USA, 2002.
  19. G. I. Marchuk, “Splitting and alternating direction methods,” in Handbook of Numerical Analysis, vol. 1, pp. 197–462, North-Holland, Amsterdam, 1990. View at Google Scholar · View at Zentralblatt MATH
  20. N. N. Yanenko, The Method of Fractional Steps. The Solution of Problems of Mathematical Physics in Several Variables, Springer, New York, NY, USA, 1971.
  21. R. Glowinski, Numerical Methods for Fluids (Part 3), vol. 9 of Handbook of Numerical Analysis, North-Holland, Amsterdam, The Netherlands, 2003.
  22. Y. T. Zhang, H. Chen, I. Mezic, C. D. Meinhart, L. Petzold, and N. C. MacDonald, “SOI processing of a ring electrokinetic chaotic micromixer,” in Proceedings of the Nanotechnology Conference and Trade Show (NSTI '04), vol. 1, pp. 292–295, 2004.
  23. M. Z. Bazant, K. Thornton, and A. Ajdari, “Diffuse-charge dynamics in electrochemical systems,” Physical Review E, vol. 70, no. 2, Article ID 021506, 24 pages, 2004. View at Publisher · View at Google Scholar
  24. S. Wasmus and A. Küver, “Methanol oxidation and direct methanol fuel cells: a selective review,” Journal of Electroanalytical Chemistry, vol. 461, no. 1-2, pp. 14–31, 1999. View at Publisher · View at Google Scholar
  25. A. Witarsa and B. Finlayson, “Microchannel cell,” University of Washington in Seattle. unpublished. View at Publisher · View at Google Scholar