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This paper presents an optimal control-based inverse method used to determinethe distribution of the electrodes for the electroosmotic micromixers withexternal driven flow from the inlet. Based on the optimal control method, oneDirichlet boundary control problem is constructed to inversely find the optimaldistribution of the electrodes on the sidewalls of electroosmotic micromixersand achieve the acceptable mixing performance. After solving the boundarycontrol problem, the step-shaped distribution of the external electricpotential imposed on the sidewalls can be obtained and the distribution ofelectrodes can be inversely determined according to the obtained externalelectric potential. Numerical results are also provided to demonstrate theeffectivity of the proposed method.

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