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Open AccessArticle

Topology Optimization of Passive Micromixers Based on Lagrangian Mapping Method

by Yuchen Guo 1,2, Yifan Xu 3, Yongbo Deng 4 and Zhenyu Liu 1,*
1
Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Science, Changchun 130033, China
2
University of Chinese Academy of Science, Beijing 100049, China
3
State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
4
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Science, Changchun 130033, China
*
Author to whom correspondence should be addressed.
Micromachines 2018, 9(3), 137; https://doi.org/10.3390/mi9030137
Received: 26 January 2018 / Revised: 17 March 2018 / Accepted: 18 March 2018 / Published: 20 March 2018
(This article belongs to the Special Issue Passive Micromixers)
This paper presents an optimization-based design method of passive micromixers for immiscible fluids, which means that the Peclet number infinitely large. Based on topology optimization method, an optimization model is constructed to find the optimal layout of the passive micromixers. Being different from the topology optimization methods with Eulerian description of the convection-diffusion dynamics, this proposed method considers the extreme case, where the mixing is dominated completely by the convection with negligible diffusion. In this method, the mixing dynamics is modeled by the mapping method, a Lagrangian description that can deal with the case with convection-dominance. Several numerical examples have been presented to demonstrate the validity of the proposed method. View Full-Text
Keywords: passive micromixer; topology optimization; Lagrangian description; mapping method passive micromixer; topology optimization; Lagrangian description; mapping method
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MDPI and ACS Style

Guo, Y.; Xu, Y.; Deng, Y.; Liu, Z. Topology Optimization of Passive Micromixers Based on Lagrangian Mapping Method. Micromachines 2018, 9, 137.

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