Viscoelasticity and Rheology: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 16-18, 1984
Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.
1000720797
Viscoelasticity and Rheology: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 16-18, 1984
Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.
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Viscoelasticity and Rheology: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 16-18, 1984

Viscoelasticity and Rheology: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 16-18, 1984

Viscoelasticity and Rheology: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 16-18, 1984

Viscoelasticity and Rheology: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 16-18, 1984

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Overview

Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.

Product Details

ISBN-13: 9781483263359
Publisher: Elsevier Science & Technology Books
Publication date: 06/28/2014
Sold by: Barnes & Noble
Format: eBook
Pages: 456
File size: 11 MB
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Table of Contents

ContributorsPrefaceThe Motion of Viscoelastic Fluids Around Spheres and BubblesWave Propagation in Viscoelastic SolidsOverview of Macroscopic Viscoelastic FlowNecking Phenomena and Cold DrawingPolymeric Liquids: From Molecular Models to Constitutive EquationsOn Slow-Flow Approximations to Fluids with Fading MemoryA Comparison of Molecular and Network-Constitutive Theories for Polymer FluidsOn Using Rubber as a Guide for Understanding Polymeric Liquid BehaviorOn Viscoplastic ModelsDissipation in Materials with MemoryHyperbolic Phenomena in the Flow of Viscoelastic FluidsAbsorbing Boundaries for ViscoelasticityRecent Developments and Open Problems in the Mathematical Theory of ViscoelasticityEvaluation of Constitutive Equations: Material Functions and Complex Flows of Viscoelastic FluidsFinite Element Methods for Viscoelastic FlowConstitutive Equations for the Computing PersonIndex
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