Rheology - 2nd Edition - ISBN: 9781895198492, 9781895198812


2nd Edition

Concepts, Methods, and Applications

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Authors: Alexander Ya. Malkin Avraam I. Isayev
Hardcover ISBN: 9781895198492
eBook ISBN: 9781895198812
Imprint: ChemTec Publishing
Published Date: 15th September 2011
Page Count: 528
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The pursuit of the golden balance between oversimplification and overload with theory has always been the primary goal of every author of book on rheology. Rheology: Concepts, Methods, and Applications, Second Edition is a tool for chemists and chemical engineers to solve many practical problems. They have to learn what to measure, how to measure, and what to do with the data. But, the learning process should not take users away from their major goals, such as manufacturing quality products, developing new materials, analysis of material durability.

In the book various aspects of theoretical rheology as well as methods of measurement and raw data treatment and how to use rheological methods in different groups of products are discusses.

The authors share their experiences of many years of experimental studies and teaching to show use of rheology in studies of materials. They and were very meticulous in giving historical background of contributors to rheology as a science and as the method of solving many practical problems.

This book is very useful as a teaching tool in universities and colleges because it is consistent with programs of rheology courses. Practicality of this book will prepare students for typical tasks in industry. Equally it serves the industry and accomplished rheologists because it contains expert advice of two very famous and accomplished scientists and teachers who know discoveries first-hand because they may have taken part in some of them.

Key Features

  • introductory rheology for students and scientists
  • easy to understand
  • many practical examples


Students of material science, chemical engineering, chemistry, biology, medicine. Scientists in polymer, plastics, pharmaceutical, construction, coatings industries and medicine

Table of Contents

1 Continuum Mechanics as a Foundation of Rheology

1.1 Stresses

1.1.1 General theory

1.1.2 Law of equality of conjugated stresses

1.1.3 Principal stresses

1.1.4 Invariants of a stress tensor

1.1.5 Hydrostatic pressure - spherical tensor and deviator

1.1.6 Equilibrium (balance) equations

1.2 Deformations

1.2.1 Deformations and displacements Deformations Displacements

1.2.2 Infinitesimal deformations: principal values and invariants

1.2.3 Large (finite) deformations

1.2.4 Special cases of deformations - uniaxial elongation and simple shear Uniaxial elongation and Poisson's ratio Simple shear and pure shear

1.3 Kinematics of deformations

1.3.1 Rates of deformation and vorticity

1.3.2 Deformation rates when deformations are large

1.4 Summary - continuum mechanics in rheology

1.4.1 General principles

1.4.2 Objects of continuum as tensors


Questions for Chapter 1

2 Viscoelasticity

2.1 Basic experiments

2.1.1 Creep (retarded deformation)

2.1.2 Relaxation

2.1.3 Fading memory

2.2 Relaxation and creep - spectral representation. Dynamic functions

2.2.1 Retardation and relaxation spectra - definitions

2.2.2 Dynamic functions

2.3 Model interpretations

2.3.1 Basic mechanical models

2.3.2 Complicated mechanical models - differential rheological equations

2.3.3 Non-mechanical models

2.4 Superposition - The Boltzmann-Volterra principle

2.4.1 Integral formulation of the superposition principle

2.4.2 Superposition principle expressed via spectra

2.4.3 Simple transient modes of deformation Relaxation after sudden deformation Developing stresses at constant shear rate Relaxation after steady shear flow

2.4.3 Relationship between relaxation and creep functions

2.4.4 Relaxation function and large deformations Relationship between relaxation and creep functions Relaxation function and large deformations

2.5 Relationships among viscoelastic functions

2.5.1 Dynamic functions - relaxation, creep, and spectra

2.5.2 Constants and viscoelastic functions

2.5.3 Calculation of a relaxation spectrum Introduction - general concept Kernel approximation - finding a continuous spectrum Computer-aided methods for a discrete spectrum

2.6 Viscoelasticity and molecular models

2.6.1 Molecular movements of an individual chain A spring-and-bead model ("free draining chain") Model of a non-draining coil Model of a rotating coil

2.6.2 Relaxation properties of concentrated polymer solutions and melts Concept of entanglements Two-part distribution of friction coefficient Non-equivalent friction along a chain Viscoelastic entanglements Rubber-like network "Tube" (reptation) model Some conclusions

2.6.3 Viscoelasticity of polydisperse polymers

2.7 Time-temperature superposition. Reduced ("master") viscoelastic curves

2.7.1 Superposition of experimental curves

2.7.2 Master curves and relaxation states

2.7.3 "Universal" relaxation spectra

2.8 Non-linear effects in viscoelasticity

2.8.1 Experimental evidences Non-Newtonian viscosity Non-Hookean behavior of solids Non-linear creep Non-linear relaxation Non-linear periodic measurements

2.8.2 Linear - non-linear correlations

2.8.3 Rheological equations of state for non-linear viscoelastic behavior The K-BKZ model The Wagner models The Leonov model The Marrucci models

2.8.4 Comments - constructing non-linear constitutive equations and experiment


Questions for Chapter 2

3 Liquids

3.1 Newtonian and non-Newtonian liquids. Definitions

3.2 Non-Newtonian shear flow

3.2.1 Non-Newtonian behavior of viscoelastic polymeric materials

3.2.2 Non-Newtonian behavior of structured systems - plasticity of liquids

3.2.3 Viscosity of anisotropic liquids

3.3 Equations for viscosity and flow curves

3.3.1 Introduction - the meaning of viscosity measurement

3.3.2 Power-law equations

3.3.3 Equations with yield stress

3.3.4 Basic dependencies of viscosity Viscosity of polymer melts Viscosity of polymer solutions Viscosity of suspensions

3.3.5 Effect of molecular weight distribution on non-Newtonian flow

3.4 Elasticity in shear flows

3.4.1 Rubbery shear deformations - elastic recoil

3.4.2 Normal stresses in shear flow The Weissenberg effect First normal stress difference - quantitative approach Second normal stress difference and secondary flow

3.4.3 Normal stresses and elasticity

3.4.4 Die swell

3.5 Structure rearrangements induced by shear flow

3.5.1 Transient deformation regimes

3.5.2 Thixotropy and rheopexy

3.5.3 Shear induced phase transitions

3.6 Limits of shear flow - instabilities

3.6.1 Inertial turbulency

3.6.2 The Toms effect

3.6.3 Instabilities in flow of elastic liquids Dynamic structure formation and secondary flows in elastic fluids Secondary flows in the flow of elastic fluids Shear banding

3.7 Extensional flow

3.7.1 Model experiments - uniaxial flow

3.7.2 Model experiments - rupture

3.7.3 Extension of industrial polymers Multiaxial elongation

3.7.4 The tubeless siphon effect

3.7.5 Instabilities in extension Phase transitions in extension Rayleigh instability Instabilities in extension of a viscoelastic thread

3.8 Conclusions - real liquid is a complex liquid


Questions for Chapter 3

4 Solids

4.1 Introduction and definitions

4.2 Linear elastic (Hookean) materials

4.3 Linear anisotropic solids

4.4 Large deformations in solids and non-linearity

4.4.1 A single-constant model

4.4.2 Multi-constant models Two-constant potential function Multi-member series General presentation Elastic potential of the power-law type

4.4.3 The Poynting effect

4.5 Limits of elasticity

4.5.1 Standard experiment - main definitions

4.5.2 Plasticity

4.5.3 Criteria of plasticity and failure Maximum shear stress The intensity of shear stresses ("energetic" criterion) Maximum normal stress Maximum deformation Complex criteria

4.5.4 Structure effects Strengthening Thixotropy


Questions for Chapter 4

5 Rheometry. Experimental Methods

5.1 Introduction - Classification of experimental methods

5.2 Capillary viscometry

5.2.1 Basic theory

5.2.2 Corrections Kinetic correction Entrance correction Pressure losses in a reservoir of viscometer Temperature correction Pressure correction Correction for slip near a wall Adsorption on a channel surface

5.2.3 Flow in incompletely filled capillary Motion under action of gravitation forces Motion caused by surface tension forces

5.2.4 Limits of capillary viscometry

5.2.5 Non-viscometric measurements using capillary viscometers

5.2.6 Capillary viscometers Classification of the basic types of instruments Viscometers with the assigned load Cup viscometers Glass viscometers

5.2.7 Viscometers with controlled flow rate Instruments with a power drive Instruments with hydraulic drive Extrusion rheometers Technological capillary tube viscometers

5.3 Rotational rheometry

5.3.1 Tasks and capabilities of the method Viscometric and non-viscometric measurements The method of a constant frequency of rotation The method of a constant torque

5.3.2 Basic theory of rotational instruments Instruments with coaxial cylinders Instruments with conical surfaces Bi-conical viscometers Disk viscometers Viscometers with spherical surfaces End (bottom) corrections in instruments with coaxial cylinders On a role of rigidity of dynamometer Temperature effects

5.3.3 Limitations of rotational viscometry

5.3.4 Rotational instruments Introduction - general considerations Rheogoniometers and elastoviscometers Viscometers with assigned rotational speed Rotational viscometers for special purposes Rotational instruments for technological purposes

5.3.5 Measuring normal stresses Cone-and-plate technique Plate-and-plate technique Coaxial cylinders technique Hole-pressure effect

5.4 Plastometers

5.4.1. Shear flow plastometers

5.4.2 Squeezing flow plastometers

5.4.3 Method of telescopic shear Telescopic shear penetrometer

5.5 Method of falling sphere

5.5.1 Principles Corrections

5.5.2 Method of rolling sphere

5.5.3 Viscometers with falling sphere

5.5.4 Viscometers with falling cylinder

5.6 Extension

5.6.1 General considerations

5.6.2. Experimental methods The simplest measuring schemes Tension in a controlled regime Tubeless siphon instruments Flow in convergent channels High strain rate methods

5.6.3 Biaxial extension

5.7 Measurement of viscoelastic properties by dynamic (oscillation) methods

5.7.1 Principles of measurement - homogeneous deformation

5.7.2 Inhomogeneous deformations

5.7.3 Torsion oscillations

5.7.4 Measuring the impedance of a system

5.7.5 Resonance oscillations

5.7.6 Damping (free) oscillations

5.7.7 Wave propagation Shear waves Longitudinal waves

5.7.8 Vibration viscometry Torsion oscillations Oscillation of a disk in liquid Oscillations of sphere Damping oscillations

5.7.9 Measuring viscoelastic properties in non-symmetrical flows

5.7.9 About experimental techniques Rotational instruments Devices with electromagnetic excitation Torsion pendulums

5.8 Physical methods

5.8.1 Rheo-optical methods Basic remarks Stress - optical rules for polymer melts Stress-optical rule for polymer solutions Viscometers for optical observations Polarization methods for measuring stresses Visualization of polymer flow in dies

5.8.2. Velocimetry

5.8.3 Viscometers-calorimeters


Questions for Chapter 5

6 Applications of Rheology

6.1 Introduction

6.2 Rheological properties of real materials and their characterization

6.2.1 Polymer materials

6.2.2 Mineral oils and oil-based products

6.2.3 Food products

6.2.4 Cosmetics and pharmaceuticals

6.2.5 Biological fluids

6.2.6 Concentrated suspensions

6.2.7 Electro- and magneto-rheological materials

6.2.8 Concluding remarks

6.3 Rheokinetics (chemorheology) and rheokinetic liquids

6.3.1. Formulation of problem

6.3.2. Linear polymerization

6.3.3 Oligomer curing Viscosity change and a gel-point Curing at high shear rates Curing after gel-point

6.3.4 Intermolecular transformations

6.4 Solution of dynamic problems

6.4.1 General formulation

6.4.2 Flow through tubes

6.4.3 Flow in technological equipment Pumping screw Calendering and related processes Extension-based technologies Molding technologies Compression molding Injection molding Injection-compression molding


Questions for Chapter 6


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© ChemTec Publishing 2012
15th September 2011
ChemTec Publishing
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About the Author

Alexander Ya. Malkin

Prof. Dr. Alexander Yakovelich Malkin is the Principal Research Fellow at the Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Moscow. He has written five monographs and more than 100 papers in English, including three books on the subject of rheology. He has also taken part as an invited plenary or keynote speaker at numerous international conferences and meetings on rheology, polymer processing and physics.

Affiliations and Expertise

Principal Research Fellow, Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Moscow, Russia

Avraam I. Isayev

Prof. Dr. Avraam I. Isayev is a Distinguished Professor Emeritus in the Department of Polymer Engineering at the University of Akron, USA. He has been a member of the Society of Rheology since 1981, and a Senior Member of the Society of Plastics Engineers since 1984. His interests include polymer processing, rheology of polymers, and the injection, co-injection, transfer, compression and gas-assisted injection molding of polymers.

Affiliations and Expertise

Distinguished Professor Emeritus, Department of Polymer Engineering, University of Akron, USA

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