Topology Optimization Theory for Laminar Flow Applications in Invers
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
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ology Optimization Theory for Laminar Flow Applications in Inverse Design of Microfluidics
Topology Optimization Theory for Laminar Flow
Yongbo Deng Yihui Wu Zhenyu Liu •
Topology Optimization Theory for Laminar Flow Applications in Inverse Design of Microfluidics
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Yongbo Deng Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP) Chinese Academy of Sciences Changchun China
Zhenyu Liu Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP) Chinese Academy of Sciences Changchun China
Yihui Wu Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP) Chinese Academy of Sciences Changchun China
ISBN 978-981-10-4686-5 ISBN 978-981-10-4687-2 https://doi.org/10.1007/978-981-10-4687-2
(eBook)
Library of Congress Control Number: 2017951416 © Springer Nature Singapore Pte Ltd. 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
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Preface
Topology optimization can determine the topology, shape, and size of the structures, simultaneously. It has been regarded to be one of the most powerful approaches for the inverse design of structures in several scientific areas, including elasticity, fluid dynamics, thermodynamics, electromagnetics, etc. In fluid dynamics, one of the hot research areas is the microfluidics. And microfluidics has two typical characteristics, i.e., low Reynolds number and large surface–volume ratio. These two characteristics induces the low-efficient mass transfer and dominance of the surface tension in microfluidics. Because of these specialities, the usually used design approaches encounter the problem on synthetically considering the typical
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