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Topology Optimization Theory for Laminar Flow

Applications in Inverse Design of Microfluidics

  • Yongbo Deng
  • Yihui Wu
  • Zhenyu Liu

Table of contents

  1. Front Matter
    Pages i-xi
  2. Yongbo Deng, Yihui Wu, Zhenyu Liu
    Pages 1-16
  3. Yongbo Deng, Yihui Wu, Zhenyu Liu
    Pages 17-66
  4. Yongbo Deng, Yihui Wu, Zhenyu Liu
    Pages 67-121
  5. Yongbo Deng, Yihui Wu, Zhenyu Liu
    Pages 123-145
  6. Yongbo Deng, Yihui Wu, Zhenyu Liu
    Pages 147-185
  7. Yongbo Deng, Yihui Wu, Zhenyu Liu
    Pages 187-250

About this book

Introduction

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 ofmicrofluidics, it also investigates inverse design for the micromixer, microvalve and micropump, which are key elements in lab-on-chip devices.


Keywords

Inverse design Adjoint method Density method Level set method Microfluidic channel

Authors and affiliations

  • Yongbo Deng
    • 1
  • Yihui Wu
    • 2
  • Zhenyu Liu
    • 3
  1. 1.Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP)Chinese Academy of SciencesChangchunChina
  2. 2.Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP)Chinese Academy of SciencesChangchunChina
  3. 3.Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP)Chinese Academy of SciencesChangchunChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-4687-2
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-10-4686-5
  • Online ISBN 978-981-10-4687-2
  • Buy this book on publisher's site