|
|
xiii | |
Preface |
|
xv | |
General List of Symbols |
|
xviii | |
Useful Physical Constants and Values |
|
xxii | |
|
1 Introduction To Colloidal Suspension Rheology |
|
|
1 | (43) |
|
|
|
1.1 Structure of this Chapter and the Book |
|
|
1 | (2) |
|
1.2 Introduction and Observations |
|
|
3 | (1) |
|
1.3 Colloidal Hard Spheres |
|
|
4 | (6) |
|
1.3.1 Characteristic Properties of Brownian Particles |
|
|
5 | (2) |
|
1.3.2 Brownian Hard Sphere Phase Behavior and Diffusion |
|
|
7 | (3) |
|
1.4 Brownian Hard Sphere Rheology |
|
|
10 | (11) |
|
1.4.1 Behavior at Low Shear Rates and Linear Viscoelasticity |
|
|
10 | (3) |
|
1.4.2 Nonlinear Shear Rheology |
|
|
13 | (2) |
|
1.4.3 Extensional and Bulk Viscosities |
|
|
15 | (1) |
|
1.4.4 Normal Stress Differences |
|
|
16 | (1) |
|
1.4.5 Shear Thickening and the Shear Thickened State |
|
|
17 | (4) |
|
1.5 Colloidal Interaction Potentials |
|
|
21 | (4) |
|
1.6 Colloidal Phase Behavior beyond Brownian Hard Spheres |
|
|
25 | (3) |
|
|
28 | (6) |
|
Story 1.1 Ruth N. Weltmann and Early Studies of Thixotropy |
|
|
34 | (1) |
|
Appendix: Rheological Definitions |
|
|
34 | (4) |
|
|
38 | (1) |
|
|
39 | (5) |
|
2 Theory Of Colloidal Suspension Structure, Dynamics, And Rheology |
|
|
44 | (76) |
|
|
|
|
|
44 | (3) |
|
2.2 Low Reynolds Number Hydrodynamics |
|
|
47 | (10) |
|
2.2.1 Time and Length Scales, Creeping-Flow Equations, and Oseen Tensor |
|
|
48 | (4) |
|
2.2.2 Hydrodynamic Interactions of Spheres in Shear Flow |
|
|
52 | (5) |
|
2.3 Smoluchowski Equation for Particles in Shear Flow |
|
|
57 | (4) |
|
2.4 Langevin Dynamics of Brownian Particles |
|
|
61 | (11) |
|
2.4.1 Single Microsphere in Shear Flow |
|
|
62 | (5) |
|
2.4.2 Many-Particles Langevin Equations for Shear Flow |
|
|
67 | (5) |
|
|
72 | (23) |
|
2.5.1 Effective Navier-Stokes Equation and Macroscopic Stress |
|
|
72 | (5) |
|
2.5.2 Rheological Properties and Flow Microstructure |
|
|
77 | (5) |
|
2.5.3 Linear Rheology and Equilibrium Green-Kubo Relation |
|
|
82 | (6) |
|
2.5.4 Applications of the Green-Kubo Relation |
|
|
88 | (2) |
|
2.5.5 Generalized Stokes-Einstein Relations |
|
|
90 | (5) |
|
2.6 Mode Coupling Theory of Dense Suspension Flow |
|
|
95 | (16) |
|
2.6.1 MCT Description of Linear Rheology |
|
|
96 | (5) |
|
2.6.2 Linear Rheology at the Glass Transition |
|
|
101 | (4) |
|
2.6.3 Integration through Transients Approach to Nonlinear Rheology |
|
|
105 | (6) |
|
|
111 | (1) |
|
|
111 | (9) |
|
3 Methods Of Colloidal Simulation |
|
|
120 | (35) |
|
|
|
120 | (5) |
|
3.2 Continuum Solvent Methods - Unmeshed Solvent |
|
|
125 | (7) |
|
3.2.1 Brownian or Langevin Dynamics |
|
|
125 | (3) |
|
3.2.2 Stokesian Particle (SP) Methods |
|
|
128 | (3) |
|
3.2.3 Boundary Element Analysis |
|
|
131 | (1) |
|
3.3 Continuum Solvent Methods -- Meshed Solvent |
|
|
132 | (2) |
|
3.3.1 Arbitrary Lagrangian--Eulerian Method (ALE) |
|
|
132 | (2) |
|
3.4 Particle Solvent Methods -- Unmeshed Solvent |
|
|
134 | (7) |
|
3.4.1 Smoothed Particle Hydrodynamics (SPH) |
|
|
134 | (2) |
|
3.4.2 Dissipative Particle Dynamics (DPD) |
|
|
136 | (5) |
|
3.5 Particle Solvent Methods -- Meshed Solvent |
|
|
141 | (4) |
|
3.5.1 Multi-Particle Collision (MPC) Dynamics, or Stochastic Rotation Dynamics (SRD) |
|
|
141 | (1) |
|
3.5.2 Lattice Boltzmann Method |
|
|
142 | (3) |
|
|
145 | (1) |
|
|
146 | (1) |
|
|
147 | (8) |
|
4 Microstructure Under Flow |
|
|
155 | (18) |
|
|
|
155 | (1) |
|
4.2 Structure Factors from Scattering |
|
|
156 | (9) |
|
4.2.1 Suspension Structure under Flow |
|
|
156 | (7) |
|
4.2.2 Stresses Derived from the Microstructure |
|
|
163 | (2) |
|
4.3 Direct Observation Using Microscopy |
|
|
165 | (4) |
|
|
169 | (1) |
|
|
169 | (4) |
|
5 Rheology Of Colloidal Glasses And Gels |
|
|
173 | (54) |
|
|
|
|
173 | (2) |
|
5.2 Landmark Observations |
|
|
175 | (2) |
|
5.3 Colloidal Glasses due to Interparticle Repulsion |
|
|
177 | (13) |
|
5.3.1 Steady Shear Rheology |
|
|
177 | (3) |
|
5.3.2 Linear Viscoelasticity - Oscillatory Rheology |
|
|
180 | (2) |
|
|
182 | (4) |
|
|
186 | (1) |
|
|
187 | (2) |
|
5.3.6 Shear Localization: Shear Banding and Slip in HS Glasses |
|
|
189 | (1) |
|
5.3.7 Summary and Outlook |
|
|
189 | (1) |
|
5.4 Colloidal Gels and Attractive Glasses |
|
|
190 | (28) |
|
5.4.1 The Mechanisms and the Underlying State Diagram |
|
|
191 | (2) |
|
5.4.2 Gel Micromechanics and Local Cluster Structure |
|
|
193 | (6) |
|
5.4.3 Rheology of Phase Separating Gels and Attractive Glasses |
|
|
199 | (8) |
|
5.4.4 Rheology of Homogeneous Gels |
|
|
207 | (9) |
|
5.4.5 Summary and Outlook |
|
|
216 | (2) |
|
|
218 | (1) |
|
|
218 | (9) |
|
6 Suspensions Of Soft Colloidal Particles |
|
|
227 | (64) |
|
|
|
|
227 | (1) |
|
6.2 Landmark Observations |
|
|
227 | (6) |
|
6.3 Classification of Soft Colloids |
|
|
233 | (5) |
|
6.3.1 Spherical Particles of Varying Internal Microstructure |
|
|
233 | (3) |
|
6.3.2 Nonspherical Particles |
|
|
236 | (1) |
|
6.3.3 Particle Elasticity |
|
|
236 | (1) |
|
6.3.4 Solvent (Suspending Medium) Free Colloids |
|
|
237 | (1) |
|
6.4 Soft Particle Interactions and State Diagrams |
|
|
238 | (5) |
|
6.4.1 Repulsive Interactions |
|
|
238 | (1) |
|
6.4.2 From Repulsive to Attractive Interactions |
|
|
239 | (1) |
|
6.4.3 Defining the Volume Fraction: Effective versus Actual Volume Fraction |
|
|
240 | (2) |
|
6.4.4 State Diagrams for Archetype Soft Colloids |
|
|
242 | (1) |
|
6.4.5 Shear-Induced Crystallization |
|
|
243 | (1) |
|
Story 6.1 The Origins of Soft Particle Rheology |
|
|
243 | (1) |
|
6.5 Linear Viscoelasticity and Diffusion Dynamics |
|
|
244 | (7) |
|
6.5.1 Shear Viscosity and Self-diffusion |
|
|
244 | (3) |
|
6.5.2 Viscoelastic Relaxation Spectrum and Plateau Modulus |
|
|
247 | (2) |
|
6.5.3 Temperature-Induced Effects |
|
|
249 | (2) |
|
6.6 Flow Properties of Soft Particle Suspensions |
|
|
251 | (11) |
|
6.6.1 Phenomenology of Yielding and Flow |
|
|
251 | (3) |
|
6.6.2 Shear Thinning Behavior of Liquid Suspensions |
|
|
254 | (1) |
|
6.6.3 Yielding and Flow of Repulsive Entropic Glasses |
|
|
255 | (1) |
|
6.6.4 Yielding and Flow of Repulsive Jammed Glasses |
|
|
256 | (4) |
|
|
260 | (1) |
|
|
261 | (1) |
|
|
262 | (6) |
|
|
262 | (3) |
|
6.7.2 Microscopic Signatures of Aging |
|
|
265 | (2) |
|
6.7.3 Internal or Residual Stress after Flow Cessation |
|
|
267 | (1) |
|
6.8 Mixtures and Osmotic Interactions |
|
|
268 | (6) |
|
6.8.1 Soft Colloid-Polymer Mixtures |
|
|
268 | (3) |
|
6.8.2 Binary Colloidal Mixtures Involving Soft Particles |
|
|
271 | (2) |
|
6.8.3 Colloidal Mixtures in the Absence of Solvent Background |
|
|
273 | (1) |
|
|
274 | (1) |
|
|
275 | (1) |
|
|
276 | (15) |
|
|
291 | (25) |
|
|
|
7.1 Landmark Observations and Example Applications |
|
|
291 | (3) |
|
7.1.1 Colloid Rheology in Pharmaceutical and Biomaterials Applications |
|
|
291 | (1) |
|
7.1.2 Colloidal Rheology of Proteins in Food and Biopharmaceutical Applications |
|
|
292 | (2) |
|
7.2 Self-assembled Colloids: Block Copolymer Micelles |
|
|
294 | (8) |
|
7.2.1 AB and ABA Block Copolymers: Cubic Gels and Thermoresponsive Behavior |
|
|
294 | (5) |
|
7.2.2 Associative ABA Triblock Copolymers |
|
|
299 | (1) |
|
7.2.3 Specific Interactions: Stereocomplexation and Crystallinity |
|
|
300 | (2) |
|
|
302 | (5) |
|
7.4 Conclusions and Outlook |
|
|
307 | (1) |
|
|
307 | (1) |
|
|
307 | (1) |
|
|
308 | (8) |
|
|
316 | (36) |
|
|
|
316 | (1) |
|
Story 8.1 Early History of the Study of Blood, Blood Flow, and Hemorheology |
|
|
317 | (5) |
|
8.2 Structural Overview -- Mesoscopic Micromechanical Effects and Models |
|
|
322 | (2) |
|
8.3 Steady State Shear Blood Rheology Models |
|
|
324 | (5) |
|
8.4 Models for Transient Shear Flow |
|
|
329 | (9) |
|
8.4.1 Simple Viscoelastic Models: The Anand--Kwack--Masud (AKM) Model |
|
|
330 | (1) |
|
8.4.2 Structural Thixotropic Models: The Apostolidis--Armstrong--Beris (AAB) Model |
|
|
331 | (3) |
|
8.4.3 Hybrid Thixotropic--Viscoelastic Models: The Horner-Armstrong--Wagner--Beris (HAWB) Model |
|
|
334 | (4) |
|
8.4.4 Multimode Viscoelastic Models |
|
|
338 | (1) |
|
8.5 Comparison of Model Predictions to Steady Shear and UD-LAOS Experimental Data |
|
|
338 | (3) |
|
8.5.1 Steady State Blood Rheology Data and Model Fits |
|
|
339 | (1) |
|
8.5.2 UD-LAOS Time Dependent Blood Rheology Data and Model Fits |
|
|
339 | (2) |
|
|
341 | (1) |
|
|
342 | (1) |
|
|
342 | (1) |
|
|
343 | (9) |
|
|
352 | (55) |
|
|
352 | (1) |
|
|
|
|
353 | (14) |
|
|
9.2.1 Relevant Shear Rates |
|
|
354 | (2) |
|
|
356 | (4) |
|
9.2.3 High Shear Flows during Application of the Coating |
|
|
360 | (1) |
|
|
361 | (2) |
|
9.2.5 Viscosity Curve and the Design of Desired Rheology |
|
|
363 | (4) |
|
|
367 | (8) |
|
|
|
367 | (1) |
|
9.3.2 Background: Structural Hierarchy in Carbon Black Suspensions |
|
|
367 | (2) |
|
9.3.3 Rheological Characterization |
|
|
369 | (4) |
|
9.3.4 Electrical Characterization |
|
|
373 | (2) |
|
|
375 | (1) |
|
|
375 | (5) |
|
|
9.5 Cement, Mortar, and Concrete |
|
|
380 | (9) |
|
|
9.5.1 Background: "Fresh" Cement-Based Products |
|
|
380 | (1) |
|
9.5.2 Typical Rheological Behavior and Typical Shaping Processes |
|
|
381 | (2) |
|
9.5.3 Physical Origin of the Rheological Behavior: Upscaling between the Cement Matrix and Mortar or Concrete |
|
|
383 | (1) |
|
9.5.4 Physical Origin of the Rheological Behavior: Interactions within the Cement Matrix |
|
|
384 | (4) |
|
9.5.5 Tuning the Rheological Behavior of Fresh Cement-Based Products |
|
|
388 | (1) |
|
9.6 Large Scale Processing |
|
|
389 | (8) |
|
|
|
397 | (1) |
|
|
398 | (9) |
Index |
|
407 | |