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Related Experiment Videos

Wave number selection in a nonequilibrium electro-osmotic instability.

Isaak Rubinstein1, Boris Zaltzman

  • 1Blaustein Institute for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus 84990, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

Nonequilibrium electro-osmotic slip causes ionic conductance instability. Adding asymptotic corrections to the model selects a finite wavelength, resolving a shortcoming of previous models for ion-exchange membranes and electrodes.

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Area of Science:

  • Physical Chemistry
  • Electrochemistry
  • Fluid Dynamics

Background:

  • Nonequilibrium electro-osmotic slip can destabilize ionic conductance in diffusion layers.
  • This instability is observed at charged interfaces like ion-exchange membranes and electrodes.
  • Previous models indicated a short-wave instability, a limitation for practical applications.

Purpose of the Study:

  • To investigate the instability of ionic conductance due to electro-osmotic slip.
  • To address the short-wave instability limitation in existing theoretical models.
  • To determine if incorporating asymptotic corrections can yield a more realistic wavelength selection.

Main Methods:

  • Analysis of the singularly perturbed ionic transport problem.
  • Application of outer asymptotic expansion.

Related Experiment Videos

  • Inclusion of first asymptotic corrections to the model.

    • Main Results:

    • The limiting model predicts a short-wave instability.
    • Inclusion of first asymptotic corrections leads to a finite wavelength selection.
    • This correction resolves the shortcoming of the short-wave instability in the limiting model.

    Conclusions:

    • Asymptotic corrections are crucial for accurately modeling electro-osmotic slip instabilities.
    • The refined model provides a more realistic prediction of wavelength selection.
    • This finding has implications for understanding ion transport in charged materials.