Topology optimization theory for laminar flow : applications in inverse design of microfluidics

Description

This book presents the topology optimization theory for laminar flows with low and moderate Reynolds numbers, based on the density method and level-set method, respectively. The density-method-based theory offers efficient convergence, while the level-set-method-based theory can provide anaccurate mathematical expression of the structural boundary. Unsteady, body-force-driven and two-phase properties are basic characteristics of the laminar flows. The book discusses these properties, which are typical of microfluidics and one of the research hotspots in the area of Micro-Electro-Mechanical Systems (MEMS), providing an efficient inverse design approach for microfluidic structures. To demonstrate the applications of this topology optimization theory in the context of microfluidics, it also investigates inverse design for the micromixer, microvalve and micropump, which are key elements in lab-on-chip devices. Front Matter ....Pages i-xi Introduction (Yongbo Deng, Yihui Wu, Zhenyu Liu)....Pages 1-16 Topology Optimization for Unsteady Flows (Yongbo Deng, Yihui Wu, Zhenyu Liu)....Pages 17-66 Topology Optimization for Fluid Flows with Body Forces (Yongbo Deng, Yihui Wu, Zhenyu Liu)....Pages 67-121 Topology Optimization for Two-Phase Flows (Yongbo Deng, Yihui Wu, Zhenyu Liu)....Pages 123-145 Combination of Topology Optimization and Optimal Control Method (Yongbo Deng, Yihui Wu, Zhenyu Liu)....Pages 147-185 Inverse Design of Microfluidics Using Topology Optimization (Yongbo Deng, Yihui Wu, Zhenyu Liu)....Pages 187-250