Topology and shape optimization of induced-charge electro-osmotic micropumps

Abstract

For a dielectric solid surrounded by an electrolyte and positioned inside an externally biased parallel-plate capacitor, we study numerically how the resulting induced-charge electro-osmotic (ICEO) flow depends on the topology and shape of the dielectric solid. In particular, we extend existing conventional electrokinetic models with an artificial design field to describe the transition from the liquid electrolyte to the solid dielectric. Using this design field, we have succeeded in applying the method of topology optimization to find system geometries with non-trivial topologies that maximize the net induced electro-osmotic flow rate through the electrolytic capacitor in the direction parallel to the capacitor plates. Once found, the performance of the topology optimized geometries has been validated by transferring them to conventional electrokinetic models not relying on the artificial design field. Our results show the importance of the topology and shape of the dielectric solid in ICEO systems and point to new designs of ICEO micropumps with significantly improved performance.

18 pages, latex IOP-style, 7 eps figures

References in corpus (5)

• Diffuse-Charge Dynamics in Electrochemical Systems
• Induced-charge Electrokinetic Phenomena: Theory and Microfluidic Applications
• Induced-Charge Electro-Osmosis
• A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow
• Scaling behavior of optimally structured catalytic microfluidic reactors

Cited by in corpus (2)

• Theory of Chemical Kinetics and Charge Transfer based on Nonequilibrium Thermodynamics
• AC electrokinetic phenomena over semiconductive surfaces: effective electric boundary conditions and their applications