Optimal Control-Based Inverse Determination of Electrode Distribution for Electroosmotic Micromixer
Yuan Ji,
Yongbo Deng,
Zhenyu Liu,
Teng Zhou,
Yihui Wu,
Shizhi Qian
Affiliations
Yuan Ji
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
Yongbo Deng
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
Zhenyu Liu
Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
Teng Zhou
Mechanical and Electrical Engineering College, Hainan University, Haikou 570228, China
Yihui Wu
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
Shizhi Qian
Department of Mechanical and Aerospace Engineering, Old Dominion University, ECSB 1309, 4700 Elkhorn Ave, Norfolk, VA 23529, USA
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, results are also provided to demonstrate the effectiveness of the proposed method; the step-shaped distribution of the external electric potential imposed on the sidewalls is obtained, and the electrodes with an interlaced arrangement are inversely derived according to the obtained external electric potential.
