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Discrete solution of the electrokinetic equations.
Fabrizio Capuani1, Ignacio Pagonabarraga, Daan Frenkel
1FOM Institute for Atomic and Molecular Physics (AMOLF), Kruislaan 407, 1098 SJ Amsterdam, The Netherlands. capuani@amolf.nl
The Journal of Chemical Physics
|July 21, 2004
Summary
This study introduces a robust lattice-Boltzmann method for electrokinetic equations, accurately simulating charged fluid dynamics and electro-osmotic flows, including sedimentation potential calculations for charged spheres.
Area of Science:
- Computational physics
- Fluid dynamics
- Electrochemistry
Background:
- Electrokinetic phenomena are crucial in microfluidics and nanotechnology.
- Existing methods for solving electrokinetic equations often face limitations, such as linearization assumptions or spurious flux issues.
Purpose of the Study:
- To develop a robust and versatile numerical scheme for solving electrokinetic equations.
- To accurately model complex electrokinetic phenomena, including electro-osmotic flows and charged particle sedimentation.
Main Methods:
- A hybrid approach combining the lattice-Boltzmann method with a discrete convection-diffusion equation solver.
- Identification of elementary fluxes between nodes to prevent spurious equilibrium fluxes.
- Inclusion of dynamic rules for solid interfaces to simulate sedimentation.
Main Results:
- The proposed method effectively solves electrokinetic equations without linearization.
- Accurate computation of electro-osmotic flows and sedimentation velocity (and potential) of charged spheres.
- The model accommodates a wide range of Peclet numbers, enhancing its applicability.
Conclusions:
- The developed scheme provides a powerful tool for studying electrokinetic phenomena.
- This method offers a non-linear, accurate, and versatile approach for complex fluid dynamics simulations.
- It lays the groundwork for further investigations into microfluidic devices and electrochemical systems.