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Cell models for the primary electroviscous effect.

J D Sherwood1

  • 1Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0EL, United Kingdom. sherwood@cambridge.oilfield.slb.com

The Journal of Physical Chemistry. B
|March 29, 2007
PubMed
Summary
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This study examines the electroviscous effect in charged particle suspensions using cell models. Different boundary conditions yield varying predictions for effective viscosity, highlighting the importance of model selection.

Area of Science:

  • Colloid and Interface Science
  • Rheology
  • Electrokinetics

Background:

  • The electroviscous effect influences the viscosity of charged particle suspensions.
  • Cell models are used to approximate the behavior of concentrated suspensions.
  • Previous studies utilized specific boundary conditions for cell models.

Purpose of the Study:

  • To investigate the primary electroviscous effect in nondilute suspensions of charged spherical particles.
  • To compare predictions from cell models using different outer boundary conditions.
  • To analyze the impact of boundary conditions on hydrodynamic and electroviscous contributions to effective viscosity.

Main Methods:

  • Derivation of governing equations for cell models.
  • Analytical solutions obtained under conditions of thin double layers, small Hartmann and Peclet numbers, and small potentials.

Related Experiment Videos

  • Comparison of Simha's velocity boundary condition with Happel's shear stress boundary condition.

    • Main Results:

    • Both hydrodynamic and electroviscous contributions to effective viscosity are smaller under Happel's boundary condition.
    • Cell models with different boundary conditions yield a range of predictions.
    • The choice of boundary condition significantly affects the calculated effective viscosity.

    Conclusions:

    • Cell models provide valuable insights but require careful application due to sensitivity to boundary conditions.
    • The Happel boundary condition results in lower effective viscosity compared to the Simha condition.
    • Researchers should be cautious when interpreting results from cell models and consider the implications of chosen boundary conditions.