The structure and rheology of complex fluids:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Oxford Univ. Press
1999
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| Schriftenreihe: | Topics in chemical engineering
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| Schlagworte: | |
| Online-Zugang: | Publisher description Table of contents only Inhaltsverzeichnis |
| Beschreibung: | XXI, 663 S. Ill., graph. Darst. |
| ISBN: | 019512197X 9780195121971 |
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| 100 | 1 | |a Larson, Ronald Gary |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The structure and rheology of complex fluids |c Ronald G. Larson |
| 264 | 1 | |a New York, NY [u.a.] |b Oxford Univ. Press |c 1999 | |
| 300 | |a XXI, 663 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Topics in chemical engineering | |
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| 650 | 7 | |a Suspensies |2 gtt | |
| 650 | 7 | |a Vloeibare kristallen |2 gtt | |
| 650 | 4 | |a Complex fluids | |
| 650 | 4 | |a Rheology | |
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Datensatz im Suchindex
| _version_ | 1804127140608737280 |
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| adam_text | CONTENTS
Preface xviii
Acknowledgments xxi
PARTI FUNDAMENTALS 1
Chapter 1 Introduction to Complex Fluids 3
1.1 Complex Fluids Versus Classical Solids and Liquids 3
1.2 Examples of Complex Fluids 4
1.2.1 Foods 4
1.2.2 Biofluids 7
1.2.3 Personal Care Products 8
1.2.4 Electronic and Optical Materials 8
1.2.5 Polymers 9
1.2.6 Other Examples 10
1.3 Rheological Measurements and Properties 10
1.3.1 Shearing Flow 10
1.3.1.1 Flow Geometries 10
1.3.1.2 Steady-State Shear Viscosity 12
1.3.1.3 Transient Shear Viscosity 12
1.3.1.4 Storage and Loss Moduli 13
1.3.1.5 Types of Rheological Response 14
1.3.1.6 Deborah Number, Weissenberg Number,
and Peclet Number 18
1.3.2 Extensional Flow 18
1.3.3 Mixed Flow 20
1.4 Kinematics and Stress 21
1.4.1 The Velocity Gradient Tensor 22
1.4.1.1 Shearing Flow 23
1.4.1.2 Extensional Flow 23
1.4.1.3 Mixed Flow 24
1.4.2 The Deformation Gradient and Finger Tensors 24
vii
1.4.2.1 The Deformation Gradient Tensor 24
1.4.2.2 The Finger Tensor 25
1.4.3 The Stress Tensor 27
1.5 Flow, Slip, and Yield 30
1.5.1 How 30
1.5.2 Wall Slip 31
1.5.2.1 Methods of Measuring Slip 32
1.5.2.1.1 Gap-Dependent Apparent
Shear Rate 32
1.5.2.1.2 Effect of Surface Treatment 32
1.5.2.1.3 Particle Tracers 32
1.5.2.1.4 Evanescent Waves 33
1.5.2.1.5 Laser-Doppler Velocimetry 33
1.5.2.1.6 Rheo-NMR 33
1.5.2.2 The Extrapolation Length 33
1.5.2.3 Estimate of Extrapolation Length for
Simple Liquids 34
1.5.3 Yield 35
1.6 Structural Probes of Complex Fluids 38
1.6.1 Microscopy 38
1.6.2 Light, X-Ray, and Neutron Scattering 39
1.6.2.1 Photon Correlation Spectroscopy 41
1.6.2.2 Diffusing-Wave Spectroscopy 42
1.6.3 Polarimetry 42
1.6.4 Linear Dichroism 43
1.6.5 Polarized Light Scattering 43
1.6.6 Raman Scattering and Fluorescence Polarization 43
1.6.7 Other Methods 44
1.7 Computational Methods 46
1.7.1 Molecular Dynamics Simulations 46
1.7.2 Brownian Dynamics Simulations 47
1.7.3 Monte Carlo Sampling 47
1.7.4 Numerical Solution of Composition-Field Equations 48
1.7.5 Suspension Simulations 49
1.7.6 Boundary Conditions 49
1.8 The Stress Tensor 49
1.9 Summary 50
References 50
Problems and Worked Examples 55
Chapter 2 Basic Forces 61
2.1 Introduction 61
2.2 Excluded-Volume Interactions 61
2.2.1 Hard Spheres 62
2.2.2 Rigid Nonspherical Particles or Molecules:
The Nematic Phase 64
2.2.2.1 Onsager Theory 65
2.2.2.2 Maier-Saupe Theory 67
2.2.2.3 Flory Lattice Theory 68
2.2.3 Flexible Macromolecules 69
2.2.3.1 Polydispersity 69
2.2.3.2 Random-Walk Statistics: The Freely
Jointed Chain 71
2.2.3.3 Long-Range Excluded-Volume Effects in
Solutions 73
2.2.3.4 Local Packing Effects in Melts 74
2.2.4 Semiflexible Macromolecules 75
2.3 Van Der Waals Interactions 78
2.3.1 Molecular Mixtures 78
2.3.1.1 Dipolar Interactions: London, Keesom,
and Debye Forces 78
2.3.1.2 The Flory-Huggins Model 80
2.3.1.3 Theories for the x Parameter 84
2.3.2 Suspensions 85
2.4 Electrostatic Interactions 87
2.4.1 The Poisson-Boltzmann Equation 88
2.4.2 A Charged Surface and Its Double Layer 88
2.4.3 The Force Between Two Charged Plates 91
2.4.4 Interaction Potentials for Spheres 92
2.5 Hydrogen-Bonding, Hydrophobic, and Other
Interactions 95
2.6 Summary 96
References 97
Problems and Worked Examples 99
PART II POLYMERS, GLASSY LIQUIDS,
AND POLYMER GELS 105
Chapter 3 Polymers 107
3.1 Introduction 107
3.2 Equilibrium Properties 112
3.3 Intrinsic Viscosity and Overlap Concentration 113
3.4 Elementary Molecular Theories 114
3.4.1 The Polymer Stress and Birefringence Tensors 114
3.4.2 Rubber Elasticity Theory 116
3.4.3 The Temporary Network Model 119
3.4.4 The Elastic Dumbbell Model 123
3.4.5 The Rouse Model 126
3.5 Linear Viscoelasticity and Time-Temperature
Superposition 128
3.5.1 Distribution of Relaxation Times 128
3.5.2 Time-Temperature Superposition 129
3.6 The Rheology of Dilute Polymer Solutions 132
3.6.1 Linear Rheology 132
3.6.1.1 Molecular-Weight Scaling Laws 132
3.6.1.2 Complex Modulus: The Zimm Theory 134
3.6.1.3 High-Frequency Behavior 136
3.6.2 Nonlinear Rheology 136
3.6.2.1 Experiments 137
3.6.2.1.1 Shearing Flow 138
3.6.2.1.2 Extensional Flow 140
3.6.2.1.3 Mixed Flow 141
3.6.2.2 Simple Theories 142
3.6.2.2.1 Finite Extensibility 142
3.6.2.2.2 Conformation-Dependent Drag
Coefficient 145
3.7 The Rheology of Entangled Polymers 149
3.7.1 Reptation 151
3.7.2 Nonreptative Relaxation Mechanisms 152
3.7.2.1 Primitive-Path Fluctuations 154
3.7.2.2 Constraint Release 155
3.7.3 Evidence for Reptation 156
3.7.4 The Doi-Edwards Constitutive Equation 156
3.7.4.1 Linear Relaxation Modulus 157
3.7.4.2 Nonlinear Modulus and Damping Function 158
3.7.4.3 Stress Tensor After a Step Strain 160
3.7.4.4 Constitutive Equation 161
3.7.5 Predictions of Reptation Theories 162
3.7.5.1 Steady-State Shear and Extension 162
3.7.5.2 Stress Overshoots 165
3.7.5.3 Anomalous Rheology 166
3.7.6 Effects of Polydispersity and Branching 168
3.7.6.1 Poly disperse Melts 168
3.7.6.2 Star Molecules 169
3.7.6.3 Melts with Irregular Long-Chain
Branching 170
3.7.6.4 Semiempirical Constitutive Equations 171
3.8 Summary 174
References 175
Problems and Worked Examples 180
Chapter 4 Glassy Liquids 189
4.1 Introduction 189
4.2 Phenomenology of the Glass Transition 191
4.3 Free-Volume Theories 196
4.4 Entropy Theories 198
4.4.1 Gibbs-DiMarzio Theory 200
4.4.2 Adam-Gibbs Theory 201
4.4.3 Miller s Theory 203
4.5 Nonlinear Relaxation and Aging 206
4.6 Mode-Coupling Theory and Colloidal
Hard-Sphere Glasses 212
4.7 Simulations of Analog Models 219
4.7.1 Square Tiling Model 219
4.7.2 Facilitated Ising Model 220
4.7.3 Bond Fluctuation Model 223
4.8 Rheology of Glassy Liquids 223
4.8.1 Linear Rheology 223
4.8.2 Nonlinear Rheology 225
4.8.3 Thermorheological Behavior 225
4.9 Summary 228
References 229
Chapter 5 Polymer Gels 232
5.1 Introduction 232
5.2 Gelation Theories 235
5.2.1 Percolation Theory 235
5.2.2 Flory-Stockmayer Theory 236
5.2.3 Fractals and Self-Similarity 237
5.3 Rheology of Chemical Gels and Near-Gels 238
5.4 Rheoiogy of Physical Gels 243
5.4.1 Telechelic Polymers 248
5.4.2 Entangled Sticky Chains 254
5.5 Summary 258
References 258
PARTHI SUSPENSIONS 261
Chapter 6 Participate Suspensions 263
6.1 introduction 263
6.2 Hard, and Slightly Deformable, Spheres 264
6.2.1 Zero-Shear Viscosity 265
6.2.2 Shear Thinning 267
6.2.3 Shear Thickening 273
6.2.4 Suspension Modulus 274
6.2.5 Normal Stress Differences 278
6.2.6 Other Nonlinear Properties 279
6.3 Nonspherical Particles 279
6.3.1 Dilute Suspensions 279
6.3.1.1 Jeffery Orbits 279
6.3.1.2 RotaryDiffusiviti.es 280
6.3.1.3 Stresses for Suspensions of Spheroids 282
6.3.1.4 Stresses for Suspensions of High-Aspect
Ratio Particles and Molecules 284
6.3.2 Semidilute Solutions and Suspensions of Rods 285
6.3.2.1 Brownian Rods 285
6.3.2.2 Non-Brownian Fiber Suspensions 291
6.4 Electrically Charged Particles 297
6.4.1 Viscosity 299
6.4.2 Yield Stress and Modulus 301
6.4.3 Flow Mechanisms 303
6.4.4 Shear Thickening and Normal Stress Differences 304
6.5 Particles in Viscoelastic Liquids: Filled Melts 309
6.5.1 Spherical Particles 309
6.5.2 Rod-like Particles 312
6.6 Summary 313
References 314
Problems and Worked Examples 318
Chapter 7 Particulate Gels 324
7.1 Introduction 324
7.2 Particle Interactions in Suspensions 325
7.2.1 Interparticle Potentials 325
7.2.2 Electrostatic Stabilization 329
7.2.3 Flocculation and Gelation 330
7.2.4 Thermoreversible Gelation 332
7.2.5 Gelation and Phase Separation 334
7.3 Rheology of Particulate Gels 337
7.3.1 The Rheology of Weakly Flocculated Gels 338
7.3.2 The Rheology of Strongly Flocculated Gels 342
7.3.3 Theory 350
7.3.3.1 Yield Stress and Elastic Modulus 350
7.3.3.2 Shear Viscosity at High Shear Rates 353
7.4 Summary 355
References 355
Problems and Worked Examples 357
Chapter 8 Electro- and Magnetoresponsive Suspensions 360
8.1 Introduction 360
8.2 Electrorheological Fluids 360
8.2.1 The Simple Polarization Model 363
8.2.1.1 Electrostatic Forces 363
8.2.1.2 Hydrodynamic Forces 365
8.2.1.3 Steric Forces 365
8.2.1.4 Brownian Forces 365
8.2.1.5 The Particle Evolution Equation 366
8.2.1.6 The Stress Tensor 367
8.2.2 Electrorheological Phenomena 367
8.2.2.1 Aggregation Kinetics 367
8.2.2.2 Static Yield Stress 368
8.2.2.3 Steady Shearing Flow 370
8.2.2.4 Oscillatory Electric Field 372
8.2.2.5 Dynamic Moduli 374
8.2.3 Other Electrorheological Effects 375
8.3 Magnetorheological Fluids 376
8.4 Ferrofluids 378
8.4.1 Magnetic Dipole-Dipole Interactions 379
8.4.2 Dipole Orientations in an Applied Magnetic Field 380
8.4.3 Viscosity of a Ferrofluid 382
8.4.4 Ferrofluid Phenomena 383
8.5 Summary 385
References 385
Chapter 9 Foams, Emulsions, and Blends 388
9.1 Introduction 388
9.2 Emulsion Preparation 388
9.2.1 Phase Separation 389
9.2.1.1 Early Stage 392
9.2.1.2 Intermediate Stage 394
9.2.1.3 Late Stage 394
9.2.2 Mechanical Mixing and Droplet Dynamics 398
9.2.2.1 Droplet Breakup in Emulsions 399
9.2.2.2 Droplet Coalescence in Emulsions 402
9.2.2.3 Droplet Dynamics in Immiscible
Polymer Blends 403
9.3 Rheology of Emulsions and Immiscible Blends 409
9.3.1 Steady Shear Viscosity and Normal Stresses 410
9.3.2 Linear Viscoelasticity 413
9.3.3 Nonlinear Transient Viscoelasticity:
The Doi-Ohta Theory 416
9.3.4 Rheology at High Droplet Volume Fraction 420
9.3.4.1 Large Droplets 421
9.3.4.2 Small Droplets 421
9.3.4.3 Droplets of Intermediate Size 422
9.4 Structure and Coarsening of Foams 425
9.4.1 Structure of Dry Foams 426
9.4.2 Coarsening 428
9.4.2.1 Coarsening Theory for
Two-Dimensional Foams 429
9.4.2.2 Coarsening Theory for
Three-Dimensional Foams 431
9.5 Rheology of Foams 431
9.5.1 Cellular Foam Models 431
9.5.2 Other Models 435
9.6 Summary 436
References 437
PART IV LIQUID CRYSTALS AND
SELF-ASSEMBLING FLUIDS 441
Chapter 10 Liquid Crystals 443
10.1 Introduction 443
10.2 Nematics 446
10.2.1 Ericksen s Transversely Isotropic Fluid 448
10.2.2 Frank-Oseen Theory 451
10.2.3 Leslie-Ericksen Theory 452
10.2.4 Theory for the Leslie Viscosities and Frank Constants 455
10.2.4.1 The Leslie Viscosities 455
10.2.4.2 The Frank Constants 459
10.2.4.3 Discotic Nematics 460
10.2.5 Shearing of How-Aligning Nematics 461
10.2.6 Shearing of Tumbling Nematics 463
10.2.6.1 Sudden Start-up of Shearing 463
10.2.6.2 Gradual Increase in Shear Rate 467
10.2.7 Disclination Dynamics 470
10.3 Cholesterics: Chiral Nematics 476
10.4 Smectics 478
10.4.1 Types of Smectics 478
10.4.2 Smectic Viscosities 480
10.4.3 Smectic Elasticities 481
10.4.4 Smectic Defects 482
10.4.4.1 Focal Conies 482
10.4.4.2 Other Defects 485
10.4.5 Shearing Flow of Aligned Smectics 486
10.4.5.1 Parallel, or c, Orientation 486
10.4.5.2 Transverse, or b, Orientation 487
10.4.5.3 Perpendicular, or a, Orientation 487
10.4.6 Steady Shearing How of Defect-Ridden Smectics 487
10.4.7 Dynamic Modulus 488
10.4.8 Shear Alignment 490
10.5 Summary 491
References 492
Problems and Worked Examples 495
Chapter 11 Liquid-Crystalline Polymers 503
11.1 Introduction 503
11.2 Molecular Characteristics of Liquid-Crystalline
Polymers 504
11.3 Flow Properties of Nematic LCPs 507
11.3.1 Dependence of Viscosity on Concentration or
Temperature 507
11.3.2 Region I Shear Thinning 509
11.3.3 Negative First Normal Stress Differences 511
11.3.4 Transient Shear Stresses 514
11.3.5 Textures of Sheared LCPs 515
11.3.6 The Role of Microcrystallites and Chemical
Reactions 518
11.4 Molecular Dynamics of Polymeric Nematics 519
11.4.1 Molecular and Gradient Elasticities 519
11.4.2 The Smoluchowski Equation 520
11.4.3 Doi s Approximate Solution of the Smoluchowski
Equation 522
11.4.4 Tumbling and Flow-Aligning 523
11.5 Molecular Theory for the Rheology of Polymeric
Nematics 526
11.5.1 Leslie Viscosities and Frank Constants of
Monodomains 526
11.5.2 Rheology in Region III: The Effect of Molecular
Elasticity 532
11.5.3 Rheology in Region II: The Effect of Texture
Elasticity 537
11.5.4 Rheology in Region I 544
11.6 Summary 546
References 547
Chapter 12 Surfactant Solutions 551
12.1 Introduction 551
12.2 Methods of Predicting Microstructures 553
12.2.1 Packing Argument 553
12.2.2 Surface-Curvature Argument 554
12.2.3 Molecular Simulations 554
12.3 Disordered Micellar Solutions 555
12.3.1 Micellar Shapes and Shape Transitions 556
12.3.1.1 Spherical Micelles 557
12.3.1.2 Micellar Growth and Transition to
Cylindrical Shapes 558
12.3.1.3 Cylindrical Micelles 560
12.3.2 Rheology of Disordered Solutions of Spherical
Micelles 562
12.3.3 Rheology of Dilute Wormy Micellar Solutions 562
12.3.4 Rheology of Entangled Wormy Micellar Solutions 564
12.3.4.1 Cates Reptation Model 568
12.3.4.2 The Effect of Added Salts 570
12.3.4.3 The Effect of Temperature 573
12.3.4.4 Nonlinear Rheology 574
12.4 Surfactant Liquid Crystals 576
12.4.1 Phase Behavior 576
12.4.1.1 Nematic, Hexagonal, and Lamellar Phases 576
12.4.1.2 Strut, Mesh, and Ribbon Phases 579
12.4.2 Rheology 585
12.4.2.1 Nematic Phases 585
12.4.2.2 Hexagonal Phases 585
12.4.2.3 Smectic Phases 586
12.4.2.4 Cubic Strut Phases 589
12.5 Summary 590
References 590
Chapter 13 Block Copolymers 594
13.1 Introduction 594
13.2 Thermodynamics of Block Copolymers 596
13.2.1 The Floryx Parameter 596
13.2.2 Microphase Separation and Ordering 598
13.2.3 Theories for Block-Copolymer Phase Behavior 602
13.2.3.1 Strong Segregation 603
13.2.3.2 Weak Segregation 604
13.2.4 Simulations of Block-Copolymer Phase Behavior 607
13.3 Rheology and Shear-Aligning of Block Copolymers 607
13.3.1 Lamellar Microdomains 610
13.3.1.1 The Linear Modulus 611
13.3.1.2 Alignment 614
13.3.1.2.1 Observations 614
13.3.1.2.2 Explanations 618
13.3.1.3 Elastic Constants and Defects 623
13.3.2 Cylindrical Microdomains 624
13.3.3 Spherical Microdomains 625
13.3.3.1 Disordered Microdomains 626
13.3.3.2 Ordered Microdomains 626
13.4 Summary 629
References 629
Appendix: Momentum-Balance Equations in the Absence of Inertia 663
Common Notation 635
Author Index 641
Subject Index 652
|
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| id | DE-604.BV012495393 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:37Z |
| institution | BVB |
| isbn | 019512197X 9780195121971 |
| language | English |
| lccn | 98019940 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008482947 |
| oclc_num | 39042833 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-91G DE-BY-TUM DE-M49 DE-BY-TUM DE-384 DE-634 DE-83 DE-92 DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-29T DE-91G DE-BY-TUM DE-M49 DE-BY-TUM DE-384 DE-634 DE-83 DE-92 DE-11 DE-19 DE-BY-UBM |
| physical | XXI, 663 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series2 | Topics in chemical engineering |
| spelling | Larson, Ronald Gary Verfasser aut The structure and rheology of complex fluids Ronald G. Larson New York, NY [u.a.] Oxford Univ. Press 1999 XXI, 663 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Topics in chemical engineering Blokcopolymeren gtt Gel gtt Mengsels gtt Polymeren gtt Reologie gtt Stroming (algemeen, natuurkunde) gtt Suspensies gtt Vloeibare kristallen gtt Complex fluids Rheology Komplexe Flüssigkeit (DE-588)4311495-7 gnd rswk-swf Rheologie (DE-588)4049828-1 gnd rswk-swf Komplexe Flüssigkeit (DE-588)4311495-7 s Rheologie (DE-588)4049828-1 s DE-604 http://www.loc.gov/catdir/enhancements/fy0603/98019940-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0603/98019940-t.html Table of contents only HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008482947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Larson, Ronald Gary The structure and rheology of complex fluids Blokcopolymeren gtt Gel gtt Mengsels gtt Polymeren gtt Reologie gtt Stroming (algemeen, natuurkunde) gtt Suspensies gtt Vloeibare kristallen gtt Complex fluids Rheology Komplexe Flüssigkeit (DE-588)4311495-7 gnd Rheologie (DE-588)4049828-1 gnd |
| subject_GND | (DE-588)4311495-7 (DE-588)4049828-1 |
| title | The structure and rheology of complex fluids |
| title_auth | The structure and rheology of complex fluids |
| title_exact_search | The structure and rheology of complex fluids |
| title_full | The structure and rheology of complex fluids Ronald G. Larson |
| title_fullStr | The structure and rheology of complex fluids Ronald G. Larson |
| title_full_unstemmed | The structure and rheology of complex fluids Ronald G. Larson |
| title_short | The structure and rheology of complex fluids |
| title_sort | the structure and rheology of complex fluids |
| topic | Blokcopolymeren gtt Gel gtt Mengsels gtt Polymeren gtt Reologie gtt Stroming (algemeen, natuurkunde) gtt Suspensies gtt Vloeibare kristallen gtt Complex fluids Rheology Komplexe Flüssigkeit (DE-588)4311495-7 gnd Rheologie (DE-588)4049828-1 gnd |
| topic_facet | Blokcopolymeren Gel Mengsels Polymeren Reologie Stroming (algemeen, natuurkunde) Suspensies Vloeibare kristallen Complex fluids Rheology Komplexe Flüssigkeit Rheologie |
| url | http://www.loc.gov/catdir/enhancements/fy0603/98019940-d.html http://www.loc.gov/catdir/enhancements/fy0603/98019940-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008482947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT larsonronaldgary thestructureandrheologyofcomplexfluids |