Flowing Matter.
Main Author: | |
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Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Cham :
Springer International Publishing AG,
2019.
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Edition: | 1st ed. |
Series: | Soft and Biological Matter Series
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Subjects: | |
Online Access: | Click to View |
Table of Contents:
- Intro
- Preface
- Contents
- 1 Numerical Approaches to Complex Fluids
- 1.1 Introduction to Complex Fluids and Rheology
- 1.2 Macroscopic Approaches
- 1.2.1 Eulerian/Eulerian Methods
- Inelastic Shear-Thinning/Thickening Fluids
- Viscoelastic Fluids
- Plastic Effects
- Fluid-Structure Interaction
- 1.3 Microscopic Approaches
- 1.3.1 Eulerian/Lagrangian Methods
- Immersed Boundary Methods for Suspensions of Rigid Particles
- Front-Tracking Methods for Suspensions of Deformable Droplets
- 1.3.2 Eulerian/Eulerian Methods
- Volume of Fluids
- Level-Set Method
- Phase-Field Methods
- 1.3.3 Other Approaches
- 1.4 Conclusions
- References
- 2 Basic Concepts of Stokes Flows
- 2.1 Introduction
- 2.2 Navier-Stokes and Stokes Equations
- 2.2.1 Navier-Stokes Equations
- 2.2.2 Stokes Flows
- 2.3 Reversibility of Fluid Flows
- 2.3.1 Examples of Reversibility
- 2.3.2 Irreversible Trajectories in Stokes Flow
- 2.4 Minimum Energy Dissipation Theorem
- 2.4.1 Statement
- 2.4.2 An Application of the Minimum Energy Dissipation Theorem
- 2.5 Limits of the Stokes Approximation
- 2.5.1 Example of a System Where the Stokes Approximation Does Not Work
- Other Linear Flow Equations
- 2.5.2 Departures from Reversibility Caused by Inertia
- 2.5.3 Accelerating Fluid Example
- 2.6 Conclusions
- References
- 3 Mesoscopic Approach to Nematic Fluids
- 3.1 Introduction to Nematic Fluids
- 3.2 Nematic Order Parameters
- 3.3 Landau-de Gennes Free Energy Approach
- 3.3.1 Landau Theory of Nematic Phase Transition
- 3.3.2 Elastic Free Energy
- 3.3.3 Surface Anchoring
- 3.3.4 Electric Field Effects
- 3.3.5 Magnetic Field Effects
- 3.4 Topological Defects
- 3.4.1 Umbilic Defects
- 3.4.2 Basics of Topological Theory of Defects
- 3.5 Nematodynamics
- 3.5.1 Ericksen Stress Tensor
- 3.5.2 Ericksen-Leslie-Parodi Approach.
- 3.5.3 Beris-Edwards Model
- 3.5.4 Qian-Sheng Model
- 3.5.5 Towards Active Nematics
- 3.6 Nematic Microfluidics
- 3.6.1 Nematic Flows in Channels
- 3.6.2 Nematic Microfluidic Junctions
- 3.6.3 Colloidal Particles in Nematic Microfluidic Environment
- 3.7 Nematic Colloids
- 3.7.1 Single Spherical Particle
- 3.7.2 Interparticle Interactions
- 3.7.3 Assembly and Self-assembly of Colloidal Structures
- 3.7.4 Complex-Shaped and Topological Colloids
- 3.8 Conclusions
- References
- 4 Amphiphilic Janus Particles at Interfaces
- Acronyms
- 4.1 Introduction
- 4.2 Short History of Asymmetric Janus Particles
- 4.3 General Synthetic Routes
- 4.3.1 Masking and Asymmetric Modification
- 4.3.2 Seeded Emulsion Polymerisation and Phase Separation
- 4.3.3 Microfluidic and Capillary Electro-Jetting Methods
- 4.3.4 Polymer Co-precipitation and Phase Separation
- 4.4 Tuning the Surface Polarity in JPs
- 4.5 Interfacial Activity and Adsorption at Interfaces
- 4.5.1 Contact Angle and Interfacial Adsorption Energies of HPs vs. JPs
- 4.5.2 Inter-Particle Interaction at Interfaces vs. Lowering the Interfacial Tension
- 4.5.3 Activation and Adsorption Energies of JPs Spontaneously Adsorbing at Interfaces
- 4.6 Pickering Emulsions: Arrested JPs at Interfaces
- 4.7 Self-Assembly of Janus Particles
- 4.8 JP-Based Nanomotors
- 4.9 Conclusions
- References
- 5 Upscaling Flow and Transport Processes
- 5.1 Introduction
- 5.2 Flow Through Porous and Heterogeneous Media
- 5.2.1 Darcy's Law
- 5.2.2 Extensions of Darcy's Law
- 5.2.3 Heterogeneous Media
- 5.3 Macroscopic Transport Models
- 5.3.1 Fickian Dispersion
- 5.3.2 Anomalous Dispersion
- Continuous Time Random Walks
- Multi-Rate Mass Transfer
- 5.3.3 Mixing and Chemical Reactions
- Mixing, Diffusion and Dispersion
- Chemical Reactions
- 5.4 Multiphase and Surface Processes.
- 5.4.1 Mass and Heat Transfer
- From Surface Processes to Averaged Reaction Rates
- 5.5 Conclusions
- Appendix A: Homogenisation and Two-Scale Expansions
- Appendix B: Volume/Ensemble Averaging
- References
- 6 Recent Developments in Particle Tracking Diagnosticsfor Turbulence Research
- 6.1 Introduction
- 6.2 A Model-Free Calibration Method
- 6.2.1 Principle
- 6.2.2 Practical Implementation
- 6.2.3 Results: Comparison with Tsai Model
- 6.2.4 Discussion
- 6.3 Particle Tracking Algorithms
- 6.3.1 Shadow Particle Tracking Velocimetry
- Experimental Setup
- The Trajectory Stereo-Matching Approach
- Flow Measurements
- 6.3.2 Improved Four-Frame Best Estimate
- 6.4 Noise Reduction in Post-Processing Statistical Analysis
- 6.4.1 Lagrangian Auto-Correlation Functions
- Results
- Discussion
- 6.4.2 Eulerian Structure Functions
- Method
- Results
- Discussion
- 6.5 Conclusions
- References
- 7 Numerical Simulations of Active Brownian Particles
- 7.1 Introduction
- 7.2 Passive Brownian Motion
- 7.3 Active Particles
- 7.3.1 Active Brownian Motion
- 7.3.2 Run-and-Tumble Motion
- 7.3.3 Chiral Active Brownian Motion
- 7.3.4 Gaussian Noise Reorientation Model
- 7.4 More Complex Models
- 7.4.1 Non-Spherical Particles
- 7.4.2 External Fields
- 7.4.3 Interacting Particles
- 7.4.4 Multiplicative Noise
- 7.5 Numerical Examples
- 7.5.1 Living Crystals
- 7.5.2 Colloids with Short-Range Aligning Interaction
- 7.6 Conclusions
- References
- 8 Active Fluids Within the Unified Coloured Noise Approximation
- 8.1 Introduction
- 8.1.1 The Genesis of the UCNA Model of Active Particles
- 8.2 The Unified Coloured Noise Approximation (UCNA)
- 8.2.1 Kinetic Approach
- 8.2.2 Stationary Solution in the Absence of Current
- 8.2.3 Fox Approximation
- 8.2.4 Entropy Production in UCNA
- 8.2.5 H-Theorem.
- 8.3 Born-Green-Yvon Hierarchy in the Steady State
- 8.4 Active Pressure
- 8.5 Velocity Correlations
- 8.6 Simple Applications
- 8.6.1 Active Elastic Dumbbells
- 8.6.2 Pressure of N Noninteracting Active Particles Surrounded by Harshly Repulsive Walls
- 8.7 Active Particles in a Time-Dependent Potential
- 8.7.1 Effective Potential
- 8.7.2 Dynamical UCNA and Particle Density Profile
- 8.7.3 Average Drag Force
- 8.8 Conclusions
- Appendix 1: Entropy Production and Heat Flux in the GCN
- Appendix 2: Absence of Detailed Balance Condition in the GCN
- References
- 9 Quadrature-Based Lattice Boltzmann Models for RarefiedGas Flow
- 9.1 Introduction
- 9.2 Generalities
- 9.3 One-Dimensional Quadrature-Based LB Models
- 9.3.1 Full-Range Gauss-Hermite Quadrature
- 9.3.2 Half-Range Gauss-Hermite Quadrature
- 9.4 LB Models in the Three-Dimensional Momentum Space
- 9.4.1 Reduced Distributions
- 9.4.2 Mixed Quadrature LB Models with Reduced Distribution Functions
- 9.4.3 The Lattice Boltzmann Equation
- 9.4.4 Non-Dimensionalisation Procedure
- 9.5 Simulation Results
- 9.5.1 Couette Flow Between Parallel Plates
- 9.5.2 Force-Driven Poiseuille Flow Between Parallel Plates
- 9.6 Conclusions
- Appendix: Numerical Scheme
- References
- Index.