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Size effect in Quincke rotation: a numerical study.

F Peters1, L Lobry, A Khayari

  • 1LPMC, CNRS Université de Nice, 06 10/8 Nice Cedex 2, France.

The Journal of Chemical Physics
|May 27, 2009
PubMed
Summary
This summary is machine-generated.

The Quincke rotation of small insulating particles is size-dependent. Smaller particles exhibit slower rotation due to ion diffusion and electromigration effects in the charged layer surrounding them.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Electrokinetics

Background:

  • The classical Quincke model explains DC electrorotation of insulating particles by surface charge accumulation.
  • This model assumes particle size is much larger than the ion layer thickness.
  • Deviations occur for smaller particles where bulk charge distribution becomes significant.

Purpose of the Study:

  • To investigate the electromechanical behavior of small insulating particles undergoing Quincke rotation.
  • To account for bulk charge distribution in predicting electrorotation.
  • To analyze the influence of particle size on angular velocity.

Main Methods:

  • Numerical simulations using the finite element method.
  • Solving coupled conservation equations for ions, Navier-Stokes, and Poisson equations.
  • Analyzing bulk charge distribution and fluid velocity fields.

Main Results:

  • For small cylinders, angular velocity decreases as particle size decreases.
  • This size effect is attributed to ion diffusion and electromigration within the charge layer.
  • A simple analytical model is proposed for weak electromigration and negligible diffusion.

Conclusions:

  • The classical Quincke model is insufficient for small insulating particles.
  • Particle size significantly impacts DC electrorotation dynamics.
  • Ion transport phenomena (diffusion and electromigration) are crucial for understanding small particle electrorotation.