Optimal control-based inverse determination of electrode distribution for electroosmotic micromixer

TL;DR

This paper introduces an optimal control-based inverse method to determine electrode distributions in electroosmotic micromixers, enhancing mixing performance by optimizing electric potential application.

Contribution

It develops a boundary control framework to inversely compute electrode layouts for improved electroosmotic mixing, which is a novel approach in this context.

Findings

Effective electrode distribution determined through the method

Numerical results validate the approach's effectiveness

Enhanced mixing performance demonstrated

Abstract

This paper presents an optimal control-based inverse method used to determine the distribution of the electrodes for the electroosmotic micromixers with external driven flow from the inlet. Based on the optimal control method, one Dirichlet boundary control problem is constructed to inversely find the optimal distribution of the electrodes on the sidewalls of electroosmotic micromixers and achieve the acceptable mixing performance. After solving the boundary control problem, the step-shaped distribution of the external electric potential imposed on the sidewalls can be obtained and the distribution of electrodes can be inversely determined according to the obtained external electric potential. Numerical results are also provided to demonstrate the effectivity of the proposed method.