Tortuosity and Microstructure Effects in Porous Media Classical Theories, Empirical Data and Modern Methods
This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern m...
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          | Main Authors | , , , , , | 
|---|---|
| Format | eBook | 
| Language | English | 
| Published | 
        Cham
          Springer Nature
    
        2023
     Springer International Publishing AG  | 
| Edition | 1 | 
| Series | Springer Series in Materials Science | 
| Subjects | |
| Online Access | Get full text | 
| ISBN | 3031304772 9783031304767 3031304764 9783031304774  | 
| DOI | 10.1007/978-3-031-30477-4 | 
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| Abstract | This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern methodologies and calculation approaches, and quantitative relationships between microscopic and macroscopic properties. It thoroughly discusses up to 20 different types of tortuosity and introduces a new classification scheme and nomenclature based on direct geometric tortuosities, indirect physics-based tortuosities, and mixed tortuosities (geometric and physics-based). The book also covers recent progress in 3D imaging and image modeling for studying novel aspects of tortuosity and associated transport properties in materials, while providing a comprehensive list of available software packages for practitioners in the community. This book is a must-read for researchers and students in materials science and engineering interested in a deeper understanding of microstructure–property relationships in porous materials. For energy materials in particular, such as lithium-ion batteries, tortuosity is a key microstructural parameter that can greatly impact long-term material performance. Thus, the information laid out in this book will also greatly benefit researchers interested in computational modeling and design of next-generation materials, especially those for sustainability and energy applications. | 
    
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| AbstractList | This open access book presents a thorough look at tortuosity and microstructure effects in porous materials.The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern methodologies and calculation approaches, and. This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern methodologies and calculation approaches, and quantitative relationships between microscopic and macroscopic properties. It thoroughly discusses up to 20 different types of tortuosity and introduces a new classification scheme and nomenclature based on direct geometric tortuosities, indirect physics-based tortuosities, and mixed tortuosities (geometric and physics-based). The book also covers recent progress in 3D imaging and image modeling for studying novel aspects of tortuosity and associated transport properties in materials, while providing a comprehensive list of available software packages for practitioners in the community. This book is a must-read for researchers and students in materials science and engineering interested in a deeper understanding of microstructure–property relationships in porous materials. For energy materials in particular, such as lithium-ion batteries, tortuosity is a key microstructural parameter that can greatly impact long-term material performance. Thus, the information laid out in this book will also greatly benefit researchers interested in computational modeling and design of next-generation materials, especially those for sustainability and energy applications.  | 
    
| Author | Neumann, Matthias Marmet, Philip Wiegmann, Andreas Fingerle, Mathias Schmidt, Volker Holzer, Lorenz  | 
    
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| Notes | Electronic reproduction. Dordrecht: Springer, 2023. Requires the Libby app or a modern web browser. | 
    
| OCLC | OCN: 1393169607 1393169607  | 
    
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| Snippet | This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the... This open access book presents a thorough look at tortuosity and microstructure effects in porous materials.The book delivers a comprehensive review of the...  | 
    
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| SubjectTerms | 3D Imaging Chemistry Diffusion in Porous Materials Digital Materials Design Effective Transport Properties of Porous Media Engineered Porous Materials Engineering thermodynamics Integrated Computational Materials Engineering Materials science Mathematical physics Mathematics and Science Mechanical engineering and materials Microstructure-Property Relationships Nonfiction Physics Science Simulation of Transport Properties Technology Technology, Engineering, Agriculture, Industrial processes Tortuosity of Materials Tortuosity-Porosity Relationships Virtual Materials Testing X-Ray Tomography for Materials  | 
    
| SubjectTermsDisplay | Chemistry. Electronic books. Nonfiction. Science. Technology.  | 
    
| Subtitle | Classical Theories, Empirical Data and Modern Methods | 
    
| TableOfContents | 4.8 Summary -- References -- 5 Towards a Quantitative Understanding of Microstructure-Property Relationships -- 5.1 Introduction -- 5.2 Quantitative Micro-Macro Relationships for the Prediction of Conductivity and Diffusivity -- 5.3 Quantitative Micro-Macro Relationships for the Prediction of Permeability -- 5.3.1 Bundle of Tubes Model -- 5.3.2 Sphere Packing Model -- 5.3.3 Determination of Characteristic Length and M-factor by Laboratory Experiments -- 5.3.4 Determination of Characteristic Length and M-factor by 3D Image Analysis -- 5.3.5 Determination of Characteristic Length and M-factor by Virtual Materials Testing -- 5.4 Summary -- References -- 6 Summary and Conclusions 3.4.6 Example 6: Mixed Streamline Versus Mixed Volume Averaged Tortuosity -- 3.5 Relative Order of Tortuosity Types -- 3.5.1 Summary of Empirical Data: Global Pattern of Tortuosity Types -- 3.5.2 Interpretation of Different Tortuosity Categories -- 3.6 Tortuosity-Porosity Relationships in Literature -- 3.6.1 Mathematical Expressions for τ-ε Relationships and Their Limitations -- 3.6.2 Mathematical Expressions for τ-ε Relationships and Their Justification -- 3.7 Summary -- References -- 4 Image Based Methodologies, Workflows, and Calculation Approaches for Tortuosity -- 4.1 Introduction -- 4.2 Tomography and 3D Imaging -- 4.2.1 Overview and Introduction to 3D Imaging Methods -- 4.2.2 X-ray Computed Tomography -- 4.2.3 FIB-SEM Tomography and Serial Sectioning -- 4.2.4 Electron Tomography -- 4.2.5 Atom Probe Tomography -- 4.2.6 Correlative Tomography -- 4.3 Available Software Packages for 3D Image Processing and Computation of Tortuosity -- 4.3.1 Methodological Modules -- 4.3.2 Different Types of SW Packages -- 4.4 From Tomography Raw Data to Segmented 3D Microstructures: Step by Step Example of Qualitative Image Processing -- 4.5 Calculation Approaches for Tortuosity -- 4.5.1 Calculation Approaches and SW for Direct Geometric Tortuosities (τdir_geom) -- 4.5.2 Calculation Approaches and SW for Indirect Physics-Based Tortuosities (τindir_phys) -- 4.5.3 Calculation Approaches for Mixed Tortuosities -- 4.6 Pore Scale Modeling for Tortuosity Characterization: Examples from Literature -- 4.6.1 Examples of Pore Scale Modeling in Geoscience -- 4.6.2 Examples of Pore Scale Modeling for Energy and Electrochemistry Applications -- 4.7 Stochastic Microstructure Modeling -- 4.7.1 Stochastic Modeling for Digital Materials Design (DMD) of Electrochemical Devices -- 4.7.2 Stochastic Modeling for Digital Rock Physics and Virtual Materials Testing of Porous Media Intro -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- References -- 2 Review of Theories and a New Classification of Tortuosity Types -- 2.1 Introduction -- 2.1.1 Basic Concept of Tortuosity -- 2.1.2 Basic Challenges -- 2.1.3 Criteria for Classification -- 2.1.4 Content and Structure of This Chapter -- 2.2 Hydraulic Tortuosity -- 2.2.1 Classical Carman-Kozeny Theory -- 2.2.2 From Classical Carman-Kozeny Theory to Modern Characterization of Microstructure Effects -- 2.3 Electrical Tortuosity -- 2.3.1 Indirect Electrical Tortuosity -- 2.3.2 Mixed Electrical Tortuosities -- 2.4 Diffusional Tortuosity -- 2.4.1 Knudsen Number -- 2.4.2 Bulk Diffusion -- 2.4.3 Knudsen Diffusion -- 2.4.4 Limitations to the Concept of Diffusional Tortuosity -- 2.5 Direct Geometric Tortuosity -- 2.5.1 Skeleton and Medial Axis Tortuosity -- 2.5.2 Path Tracking Method (PTM) Tortuosity -- 2.5.3 Geodesic Tortuosity -- 2.5.4 Fast Marching Method (FMM) Tortuosity -- 2.5.5 Percolation Path Tortuosity -- 2.5.6 Pore Centroid Tortuosity -- 2.6 Tortuosity Types: Classification Scheme and Nomenclature -- 2.6.1 Classification Scheme -- 2.6.2 Nomenclature -- 2.7 Summary -- References -- 3 Tortuosity-Porosity Relationships: Review of Empirical Data from Literature -- 3.1 Introduction -- 3.2 Empirical Data for Different Materials and Microstructure Types -- 3.3 Empirical Data for Different Tortuosity Types -- 3.4 Direct Comparison of Tortuosity Types Based on Selected Data Sets -- 3.4.1 Example 1: Indirect Versus Direct Pore Centroid Tortuosity -- 3.4.2 Example 2: Indirect Versus Direct Medial Axis Tortuosity -- 3.4.3 Example 3: Indirect Versus Direct Geodesic Tortuosity -- 3.4.4 Example 4: Indirect Versus Medial Axis Versus Geodesic Tortuosity -- 3.4.5 Example 5: Direct Medial Axis Versus Direct Geodesic Tortuosity  | 
    
| Title | Tortuosity and Microstructure Effects in Porous Media | 
    
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