Understanding Rheology

• 1. Introduction: How Much Do I Need to Learn about Rheology? ; 1.1 Shear Thinning/Shear Thickening ; 1.2 Yield Stress ; 1.3 Elastic/Visoelastic 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 Introductino 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 Fluids ; 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 Equations ; 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. Mathematical Appendix ; 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 ; 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

"This book is a real tour de force and beautifully produced." Chemistry and Industry, May 2002