Polymer Rheology

1.Introduction to Rheology
1.1The Field of Rheology
1.2Viscous Liquids or the Newtonian Fluid
1.3Linear Elasticity or the Hookean Spring
1.4Viscoelasticity and the Maxwell Model
1.5Time Scale and the Deborah Number
1.6Deformation, Rate of Deformation and Deviatoric Stress Tensors
1.7Book Guide
2.Structure and Properties of Deforming Polymers
2.1Molecular Structure of Polymers
2.2Stress Relaxation Behavior
2.3Shear Thinning Behavior
2.4Normal Stresses in Shear Flow
2.5Stress Overshoot during Start-up Flow
2.6Melt Strength or Melt Fracture
2.7Dynamic Response
3.Generalized Newtonian Fluid Models (GNF)
3.1Viscosity Temperature Dependence
3.2Viscous Flow Models
3.2.1The Power Law Model
3.2.2The Bird-Carreau-Yasuda Model
3.2.3The Cross-WLF Model
3.2.4The Bingham Model
3.2.5The Herschel Bulkley Model
3.2.6Accounting for Pressure Dependence in Viscous Flow Models
3.3Elongational Viscosity
3.4Suspension Rheology
3.5Chemo-Rheology
4.Transport Phenomena
4.1Dimensionless Groups
4.2Balance Equations
4.2.1The Mass Balance or Continuity Equation
4.2.2The Material or Substantial Derivative
4.2.3The Momentum Balance or Equation of Motion
4.2.4The Energy Balance or Equation of Energy
4.3Model Simplification
4.3.1Reduction in Dimensionality
4.3.2Lubrication Approximation
4.4Viscometric Flows
4.4.1Pressure Driven Flow of a Newtonian Fluid through a Slit
4.4.2Flow of a Power Law Fluid in a Straight Circular Tube (Hagen-Poiseuille Equation)
4.4.3Volumetric Flow Rate of a Power Law Fluid in Axial Annular Flow
4.4.4Circular Annular Couette Flow of a Power-Law Fluid
4.4.5Squeezing flow of a Newtownian Fluid between Two Parallel Circular Discs
4.4.6Flow of a Power-Law Fluid Between Two Parallel Circular Discs
5.Viscoelasticity
5.1Linear Viscoelasticity
5.1.1Relaxation Modulus
5.1.2The Boltzmann Superposition Principle
5.1.3The Maxwell Model - Relaxation
5.1.4Kelvin Model
5.1.5Jeffreys Model
5.1.6Standard Linear Solid Model
5.1.7The

1 Introduction
1.1 Polymers
1.2 Newtonian Fluids and Hookean Soilds (Newton and Hooke)
1.3 Viscoelasticity (Maxwell)
1.4 Time Scale (Deborah-Number)
1.5 Rheology (Bingham, Lodge, Bird, Ferry)
1.6 Guide to the book (Table)

Introducing the different developments and problems in rheology with an historical overview

2 Flow of Polymers
2.1 Basic flows (viscometric flows)
2.2 Balance equations
2.3 Viscosity (Experimental data)
2.4 Viscoelasticity (Experimental data)

Explaining the different concepts of transport phenomena with a more detailed mathematical background in the appendix

3 Structure and Properties of Polymers
3.1 Molecular weight and Branching
3.2 Relaxation behavior
3.3 Shear thinning effects
3.4 Normal stresses in shear flow
3.5 Temperature and Pressure effects

4 Generalized Newtonian Fluid Models
4.1 Power Law Model/ Ostwald-DeWaele-Model
4.2 Carreau Model
4.3 Cross Model
4.4 Bingham Model
4.5 Chemo-rheology (Rheology of Thermosets)
4.6 Suspension Rheology (Rheology of multiple phase systems)

5 Rheometry
5.1 Melt Flow Indexer
5.2 Sliding Plate Rheometer
5.3 Capillary Rheometer
5.4 Cone-and-Plate Rheometer
5.5 Parallel Plate Rheometer
5.6 Couette Rheometer
5.7 Newly developed High Pressure Rheometers (sliding plate, slit,...)
5.8 Overview (Guide to choosing the right rheometer for an application)

6 Viscoelasticity
6.1 Linear Viscoelasticity
6.1.1 Relaxation
6.1.2 Creep
6.1.3 Dynamic test
6.2 Non-linear Viscoelasticity
6.2.1 Differential Models
6.2.2 Integral Models
6.3 Applications

Dr.-Ing. Natalie Rudolph is Business Field Manager Polymers at NETZSCH. 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.

"Die übersichtliche Gliederung und die vielen Praxisbeispiele machen es zu einem idealen Lehrbuch und Nachschlagewerk." GAK Gummi Fasern Kunststoffe, Juli 2015