Preface
1: Introduction: How Much Do I Need to Learn about Rheology?
1.1: Shear Thinning/Shear Thickening
1.2: Yield Stress
1.3: Elastic/Viscoelastic Effects
1.4: Rheology as Spectroscopy
1.5: Process Modeling
2: Vector and Tensor Operations
2.1: Scalars
2.2: Vectors
2.3: Tensors
2.4: Differential Operations with Vectors and Tensors
2.5: Curvilinear Coordinates
2.6: Vector and Tensor Integral Theorems
2.7: Problems
3: Newtonian Fluid Mechanics
3.1: Conservation of Mass
3.2: Conservation of Momentum
3.3: The Newtonian Constitutive Equation
3.4: The Navier-Stokes Equation
3.5: Example Flow Problems: Incompressible Newtonian Fluids
3.6: Problems
4: Standard Flows for Rheology
4.1: Introduction
4.2: Simple Shear Flow
4.3: Simple Shear-Free (Elongational) Flows
4.4: Forms of the Stress Tensor in Standard Flows
4.5: Measuring Stresses in Standard Flows
4.6: Problems
5: Material Functions
5.1: Introduction and Definitions
5.2: Shear Flow
5.3: Elogational Flow
5.4: Problems
6: Experimental Data
6.1: Steady Shear Flow
6.2: Unsteady Shear FLow
6.3: Steady Elongational Flow
6.4: Unsteady Elongational Flow
6.5: Summary
6.6: Problems
7: No Memory: Generalized Newtonian Fluids
7.1: Constitutive Constraints
7.2: The GNF Constitutive Equation
7.3: Material Function Predictions
7.4: Example Flow Problems: Power-Law Generalized Newtonian
Fluid
7.5: Limitations on GNF Models
8: Memory Effects: Generalized Linear-Visoelastic Fluids
8.1: Memory Effects
8.2: The Maxwell Models
8.3: The GLVE Constitutive Equation
8.4: Example Flow Problems: GLVE Fluid
8.5: Limitations on the GLVE Model
8.6: Problems
9: Introduction to More Advanced Constitutive Modeling
9.1: Finite Strain Measures
9.2: Lodge Equation
9.3: Convected Derivatives
9.4: Other Constitutive Approaches
9.5: Problems
10: Rheometry
10.1: Shear Flow
10.2: Elongational Flows
10.3: Flow Birefringence
10.4: Summary
10.5: Problems
A: Nomenclature
B: Glossary
C: Mathemats
C1: Math Hints
C2: Differential Operations in Curvlinear Coordinates
C3: Projection of a Plane
C4: Finite Deformation Tensors in Curvlinear Coordinates
C5: Coordinate Transformations of Orthonormal Bases
C6: Finding Principal Values
C7: Contravariant/Covariant Transformations of Tensors
C8: Problems--Mathematics Appendix
D: Predictions of Constitutive Equations
E: Optics of Birefringence
E1: Light in a Vacuum
E2: Light in an Isotropic Medium
E3: Light in an Anisotropic Medium
E4: Summary
E5: Problems
References
Index
"This book is a real tour de force and beautifully produced." Chemistry and Industry, May 2002
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