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Topology Optimization Theory for Laminar Flow [electronic resource] : Applications in Inverse Design of Microfluidics / by Yongbo Deng, Yihui Wu, Zhenyu Liu.

By: Deng, Yongbo [author.].
Contributor(s): Wu, Yihui [author.] | Liu, Zhenyu [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2018Edition: 1st ed. 2018.Description: XI, 250 p. 181 illus., 97 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811046872.Subject(s): Fluid mechanics | Soft condensed matter | Mathematical optimization | Mathematical physics | Microtechnology | Microelectromechanical systems | Engineering Fluid Dynamics | Soft and Granular Matter | Optimization | Theoretical, Mathematical and Computational Physics | Microsystems and MEMSAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.1064 Online resources: Click here to access online
Contents:
Introduction -- Topology optimization for unsteady flows -- Topology optimization for fluid flows with body forces -- Topology optimization for two-phase flows -- Combination of topology optimization and optimal control method -- Inverse design of microfluidics using topology optimization.
In: Springer Nature eBookSummary: 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.
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Introduction -- Topology optimization for unsteady flows -- Topology optimization for fluid flows with body forces -- Topology optimization for two-phase flows -- Combination of topology optimization and optimal control method -- Inverse design of microfluidics using topology optimization.

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.

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