Mathematical Analysis Of Viscoelastic Flows
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Mathematical Analysis Of Viscoelastic Flows
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Author : Michael Renardy
language : en
Publisher: SIAM
Release Date : 2000-01-01
Mathematical Analysis Of Viscoelastic Flows written by Michael Renardy and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Mathematics categories.
This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.
Viscoelasticity And Rheology
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Author : Arthur S. Lodge
language : en
Publisher: Academic Press
Release Date : 2014-06-28
Viscoelasticity And Rheology written by Arthur S. Lodge and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Technology & Engineering categories.
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.
Mathematical Topics In Fluid Mechanics
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Author : Jose Francisco Rodrigues
language : en
Publisher: CRC Press
Release Date : 2020-10-02
Mathematical Topics In Fluid Mechanics written by Jose Francisco Rodrigues and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-02 with Mathematics categories.
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
Numerical Analysis Of Viscoelastic Problems
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Author : Patrick Le Tallec
language : en
Publisher:
Release Date : 1990-01-01
Numerical Analysis Of Viscoelastic Problems written by Patrick Le Tallec and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematical physics categories.
The problem of computing the deformations of viscoelastic, viscoplastic or elastoplastic bodies is of great relevance to practical problems e.g. in the numerical modelling of viscoelastic structures of hot metal forming or of polymer melt flows. This book shows how such practical engineering problems may be written as standard problems of functional analysis and how this mathematical framework is used for their analysis and numerical solution. The author looks at the mechanical and the mathematical problem in a unified context, especially for the case of nonlinear Maxwell problems, and gives a mixed discrete formulation for viscoelastic flow problems. Some classical numerical strategies are described as extensions of the mathematical theory. The treatment is restricted to small strain situations (with an introduction to the large strain problem at the end) and to constitute laws of differential type, and will be of interest to researchers and graduate students in mechanical engineering, computer science and applied mathematics.
Numerical Methods For Non Newtonian Fluids
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Author : Philippe G. Ciarlet
language : en
Publisher: Elsevier
Release Date : 1990
Numerical Methods For Non Newtonian Fluids written by Philippe G. Ciarlet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.
Hemodynamical Flows
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Author : Giovanni P. Galdi
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-17
Hemodynamical Flows written by Giovanni P. Galdi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-17 with Medical categories.
This book surveys research results on the physical and mathematical modeling, as well as the numerical simulation of complex fluid and structural mechanical processes occurring in the human blood circulation system. Topics treated include continuum mechanical description; choice of suitable liquid and wall models; mathematical analysis of coupled models; numerical methods for flow simulation; parameter identification and model calibration; fluid-solid interaction; mathematical analysis of piping systems; particle transport in channels and pipes; artificial boundary conditions, and many more. The book was developed from lectures presented by the authors at the Oberwolfach Research Institute (MFO), in Oberwolfach-Walke, Germany, November, 2005.
Handbook Of Differential Equations Evolutionary Equations
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Author : C.M. Dafermos
language : en
Publisher: Elsevier
Release Date : 2008-10-06
Handbook Of Differential Equations Evolutionary Equations written by C.M. Dafermos and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-06 with Mathematics categories.
The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts
Computational Rheology
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Author : Robert G Owens
language : en
Publisher: World Scientific
Release Date : 2002-05-29
Computational Rheology written by Robert G Owens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-29 with Mathematics categories.
Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject — problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling.Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations.All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities.
New Trends And Results In Mathematical Description Of Fluid Flows
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Author : Miroslav Bulíček
language : en
Publisher: Springer
Release Date : 2018-09-26
New Trends And Results In Mathematical Description Of Fluid Flows written by Miroslav Bulíček and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-26 with Mathematics categories.
The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results. The chapters are extended lecture notes from the ESSAM school "Mathematical Aspects of Fluid Flows" held in Kácov (Czech Republic) in May/June 2017. The lectures were presented by Dominic Breit (Heriot-Watt University Edinburgh), Yann Brenier (École Polytechnique, Palaiseau), Pierre-Emmanuel Jabin (University of Maryland) and Christian Rohde (Universität Stuttgart), and cover various aspects of mathematical fluid mechanics – from Euler equations, compressible Navier-Stokes equations and stochastic equations in fluid mechanics to equations describing two-phase flow; from the modeling and mathematical analysis of equations to numerical methods. Although the chapters feature relatively recent results, they are presented in a form accessible to PhD students in the field of mathematical fluid mechanics.
Nonlinear Phenomena In Flows Of Viscoelastic Polymer Fluids
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Author : A.I. Leonov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Phenomena In Flows Of Viscoelastic Polymer Fluids written by A.I. Leonov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This monograph presents theoretical and experimental studies of flows of elastic liquids. Falling into this category are particularly the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer processing. These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer processing in the usual case of an appreciable nonlinear region of deformation where nonlinear effects of shear and extensional elasticity are very important. Viscoelastic constitut ive equations cited commonly (see, e.g. Refs 5 and 6) do not describe simultaneously even the simplest cases of deformations, viz. simple shear and uniaxial extension. Moreover, some of them are internally inconsist ent and sometimes display highly unstable behaviour in simple flows without any fundamental reasons. Even more respected molecular ap free from these defects.