This book is designed to provide a background in polymer rheology to both engineering students and practicing engineers. It is written at an intermediate level with sufficient technical information and practical examples to enable the reader to understand the interesting and complex rheological behavior of polymers, to make the right decisions regarding rheological testing methods, and to troubleshoot rheology related problems encountered in polymer processing. The organization of the book and the practical examples throughout make it an ideal textbook and reference source. Processors and raw material suppliers will find the information within particularly valuable. Rheology is a rapidly growing and industrially important field, playing a significant role not only in polymer processing, but also in food processing, coating and printing, and many other manufacturing processes.
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Dr.-Ing. Natalie Rudolph is Division Manager Polymer, NETZSCH Analysing & Testing. She was previously Director of R&D in Composites at AREVO, Assistant Professor at the University of Wisconsin-Madison College of Engineering, and Team Leader at the Fraunhofer Institute ICT, Germany.
Tim A. Osswald, Ph.D., is Kuo K. and Cindy F. Wang Professor at the University of Wisconsin-Madison College of Engineering and Honorary Professor of Plastics Technology at the University of Erlangen-Nuremberg and the National University of Colombia. He is the author of many books and book chapters, as well as over 100 papers in the field of plastics technology.
1. Introduction to Rheology
1.1 The Field of Rheology
1.2 Viscous Liquids or the Newtonian Fluid
1.3 Linear Elasticity or the Hookean Spring
1.4 Viscoelasticity and the Maxwell Model
1.5 Time Scale and the Deborah Number
1.6 Deformation, Rate of Deformation and Deviatoric Stress Tensors
1.7 Book Guide
2. Structure and Properties of Deforming Polymers
2.1 Molecular Structure of Polymers
2.2 Stress Relaxation Behavior
2.3 Shear Thinning Behavior
2.4 Normal Stresses in Shear Flow
2.5 Stress Overshoot during Start-up Flow
2.6 Melt Strength or Melt Fracture
2.7 Dynamic Response
3. Generalized Newtonian Fluid Models (GNF)
3.1 Viscosity Temperature Dependence
3.2 Viscous Flow Models
3.2.1 The Power Law Model
3.2.2 The Bird–Carreau–Yasuda Model
3.2.3 The Cross-WLF Model
3.2.4 The Bingham Model
3.2.5 The Herschel Bulkley Model
3.2.6 Accounting for Pressure Dependence in Viscous Flow Models
3.3 Elongational Viscosity
3.4 Suspension Rheology
3.5 Chemo-Rheology
4. Transport Phenomena
4.1 Dimensionless Groups
4.2 Balance Equations
4.2.1 The Mass Balance or Continuity Equation
4.2.2 The Material or Substantial Derivative
4.2.3 The Momentum Balance or Equation of Motion
4.2.4 The Energy Balance or Equation of Energy
4.3 Model Simplification
4.3.1 Reduction in Dimensionality
4.3.2 Lubrication Approximation
4.4 Viscometric Flows
4.4.1 Pressure Driven Flow of a Newtonian Fluid through a Slit
4.4.2 Flow of a Power Law Fluid in a Straight Circular Tube (Hagen-Poiseuille Equation)
4.4.3 Volumetric Flow Rate of a Power Law Fluid in Axial Annular Flow
4.4.4 Circular Annular Couette Flow of a Power-Law Fluid
4.4.5 Squeezing flow of a Newtownian Fluid between Two Parallel Circular Discs
4.4.6 Flow of a Power-Law Fluid Between Two Parallel Circular Discs
5. Viscoelasticity
5.1 Linear Viscoelasticity
5.1.1 Relaxation Modulus
5.1.2 The Boltzmann Superposition Principle
5.1.3 The Maxwell Model - Relaxation
5.1.4 Kelvin Model
5.1.5 Jeffreys Model
5.1.6 Standard Linear Solid Model
5.1.7 The Generalized Maxwell Model
5.1.8 Dynamic Tests
5.2 Non-Linear Viscoelasticity
5.2.1 Objectivity
5.2.2 Differential Viscoelastic Models
5.2.3 Integral Viscoelastic Models
6. Rheometry
6.1 The Sliding Plate Rheometer
6.2 The Cone-Plate-Rheometer
6.3 The Parallel-Plate Rheometer
6.4 The Capillary Rheometer
6.4.1 Computing Viscisty
6.4.2 Viscosity Approximation
6.5 The Melt Flow INdexer
6.6 Extensional Rheometry
6.7 High Pressure Rheometers
6.8 Integrated Mold Sensors
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