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Electrokinetic instability in microchannels

Jarrod Schiffbauer1, Evgeny A. Demekhin2, and Georgy Ganchenko2

  • 1Faculty of Mechanical Engineering, Micro- and Nanofluidics Laboratory, Technion–Israel Institute of Technology, Technion City 32000, Israel
  • 2Department of Computation Mathematics and Computer Science, Kuban State University, Krasnodar 350040, Russian Federation

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Phys. Rev. E 85, 055302(R) – Published 18 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.055302

Abstract

The effect of geometric confinement on electroconvective instability due to nonequilibrium electro-osmotic slip at the interface of an electrolytic fluid and charge-selective solid is studied. It is shown that the topology of the marginal stability curves and the behavior of the critical parameters depend strongly on both channel geometry and dimensionless Debye length at low voltages for sufficiently deep channels, corresponding to the Rubinstein-Zaltzman instability mechanism, but that stability is governed almost entirely by channel depth for narrow channels at higher voltages. For shallow channels, it is shown that above a transition threshold, determined by both channel depth and Debye length, the low-voltage instability is completely suppressed.

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References (19)

  1. I. Rubinstein and B. Zaltzman, Phys. Rev. E 62, 2238 (2000).
  2. I. Rubinstein and B. Zaltzman, Phys. Rev. E 68, 032501 (2003).
  3. B. Zaltzman and I. Rubinstein, J. Fluid Mech. 579, 173 (2007).
  4. G. Yossifon and H.-C. Chang, Phys. Rev. Lett. 101, 254501 (2008).
  5. G. Yossifon, P. Mushenheim, and H.-C. Chang, Europhys. Lett. 90, 64004 (2010).
  6. E. V. Dydek, B. Zaltzman, I. Rubinstein, D. S. Deng, A. Mani and M. Z. Bazant, Phys. Rev. Lett. 107, 118301 (2011).
  7. A. Meseguer and F. Marques, J. Fluid Mech. 402, 33 (2000).
  8. C.-Y. Yih, Phys. Fluids 4, 806 (1961).
  9. E. Demekhin, V. Shelistov, and S. Polyanskikh, Phys. Rev. E 84, 036318 (2011).
  10. S. J. Kim, Y.-C. Wang, J. H. Lee, H. Jang, and J. Han, Phys. Rev. Lett. 99, 044501 (2007).
  11. S. M. Rubinstein, G. Manukyan, A. Staicu, I. Rubinstein, B. Zaltzman, R. G. H. Lammertink, F. Mugele, and M. Wessling, Phys. Rev. Lett. 101, 236101 (2008).
  12. G. Yossifon and H.-C. Chang, Phys. Rev. Lett. 101, 254501 (2008).
  13. J. Schiffbauer, W. Booth, K. Kelley, B. Edwards, and A. Timperman (unpublished).
  14. J. Schiffbauer, Doctoral dissertation, West Virginia University, 2011.
  15. G. Yossifon, P. Mushenheim, Y.-C. Chang, and H.-C. Chang, Phys. Rev. E 81, 046301 (2010).
  16. G. Yossifon, Y.-C. Chang, and H.-C. Chang, Phys. Rev. Lett. 103, 154502 (2009).
  17. V. Fleury, J.-N. Chazalviel, and M. Rosso, Phys. Rev. Lett. 68, 2492 (1992).
  18. J. M. Huth, H. L. Swinny, W. D. McCormick, A. Kuhn, and F. Argoul, Phys. Rev. E 51, 3444 (1995).
  19. P. G. Drazin and W. H. Reid, in Hydrodynamic Stability, 2nd ed. (Cambridge University Press, Cambridge, UK, 2004), p. 6.

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Phys. Rev. E 85, 055302(R)– Published 18 May, 2012
  • Received 20 November 2011
Article part of CHORUS

©2012 American Physical Society

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