Some Stability Problems In Viscoelastic Flows

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Stability in Viscoelasticity

Author : A.D. Drozdov
Publisher : Elsevier
ISBN 13 : 1483290522
Total Pages : 623 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stability in Viscoelasticity by : A.D. Drozdov

Download or read book Stability in Viscoelasticity written by A.D. Drozdov and published by Elsevier. This book was released on 2013-10-22 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of stability problems for viscoelastic solids and elements of structures, with which this book is concerned, has been the focus of attention in the past three decades. This has been due to the wide inculcation of viscoelastic materials, especially polymers and plastics, in industry. Up-to-date studies in viscoelasticity are published partially in purely mathematical journals, partially in merely applied ones, and as a consequence, they remain unknown to many interested specialists. Stability in Viscoelasticity fills the gap between engineers and mathematicians and converges theoretical and applied directions of investigations.All chapters contain extensive bibliographies of both purely mathematical and engineering works on stability problems. The bibliography includes a number of works in Russian which are practically inaccessible to the Western reader.

Viscoelasticity and Rheology

Author : Arthur S. Lodge
Publisher : Academic Press
ISBN 13 : 1483263355
Total Pages : 456 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Viscoelasticity and Rheology by : Arthur S. Lodge

Download or read book Viscoelasticity and Rheology written by Arthur S. Lodge and published by Academic Press. This book was released on 2014-06-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability of Fluid Motions II

Author : D. D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 3642809944
Total Pages : 290 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Stability of Fluid Motions II by : D. D. Joseph

Download or read book Stability of Fluid Motions II written by D. D. Joseph and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown, whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.

Computational Rheology

Author : Robert G. Owens
Publisher : World Scientific Publishing Company
ISBN 13 : 9781860941863
Total Pages : 417 pages
Book Rating : 4.9/5 (418 download)

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Book Synopsis Computational Rheology by : Robert G. Owens

Download or read book Computational Rheology written by Robert G. Owens and published by World Scientific Publishing Company. This book was released on 2002 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work traces the development of numerical methods for non-Newtonian flows from the late 1960s to 2001. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, and then specific computational techniques are discussed.

Stability of Non-Linear Constitutive Formulations for Viscoelastic Fluids

Author : Dennis A. Siginer
Publisher : Springer Science & Business Media
ISBN 13 : 3319024175
Total Pages : 103 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Stability of Non-Linear Constitutive Formulations for Viscoelastic Fluids by : Dennis A. Siginer

Download or read book Stability of Non-Linear Constitutive Formulations for Viscoelastic Fluids written by Dennis A. Siginer and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids provides a complete and up-to-date view of the field of constitutive equations for flowing viscoelastic fluids, in particular on their non-linear behavior, the stability of these constitutive equations that is their predictive power, and the impact of these constitutive equations on the dynamics of viscoelastic fluid flow in tubes. This book gives an overall view of the theories and attendant methodologies developed independently of thermodynamic considerations as well as those set within a thermodynamic framework to derive non-linear rheological constitutive equations for viscoelastic fluids. Developments in formulating Maxwell-like constitutive differential equations as well as single integral constitutive formulations are discussed in the light of Hadamard and dissipative type of instabilities.

Polymer Processing Instabilities

Author : Savvas G. Hatzikiriakos
Publisher : CRC Press
ISBN 13 : 142003068X
Total Pages : 484 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Polymer Processing Instabilities by : Savvas G. Hatzikiriakos

Download or read book Polymer Processing Instabilities written by Savvas G. Hatzikiriakos and published by CRC Press. This book was released on 2004-11-30 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer Processing Instabilities: Control and Understanding offers a practical understanding of the various flows that occur during the processing of polymer melts. The book pays particular attention to flow instabilities that affect the rate of production and the methods used to prevent and eliminate flow instabilities in order to increase product

IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids

Author : J.F. Dijksman
Publisher : Springer Science & Business Media
ISBN 13 : 9401101914
Total Pages : 200 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids by : J.F. Dijksman

Download or read book IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids written by J.F. Dijksman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decades a considerable effort has been made on the computation of the isothermal flow of viscoelastic fluids. In fact the activities related to this particular field of non-Newtonian fluid mechanics have focused on the following questions: which type of constitutive equation describes non-Newtonian fluid behaviour; how to measure fluid parameters; and what type of computational scheme leads to reliable, stable and cost-effective computer programs. During the same period, typical non-Newtonian fluid phenomena have been experimentally examined, such as the flow through a `four-to-one' contraction, the flow around a sphere or separation flow, providing fresh challenges for numerical modellers. Apart from momentum transport, however, fluid flow is strongly influenced by heat treansport in most real industrial operations in which non-Newtonian fluids are processed. The IUTAM Symposium on `Numerical Simulation of Nonisothermal Flow of Viscoelastic Liquids' held at Rolduc Abbey in Kerkrade, the Netherlands, November 1--3, 1993, was organised to monitor the state of affairs in regard to the influence of nonisothermal effects on the flow of a viscoelastic liquid. The present collection of papers gives an overview of what has been achieved so far. It is a milestone in the rapidly emerging and exciting new field in non-Newtonian fluid mechanics.

Mathematical Problems in Linear Viscoelasticity

Author : Mauro Fabrizio
Publisher : SIAM
ISBN 13 : 0898712661
Total Pages : 210 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Problems in Linear Viscoelasticity by : Mauro Fabrizio

Download or read book Mathematical Problems in Linear Viscoelasticity written by Mauro Fabrizio and published by SIAM. This book was released on 1992-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.

Fluid Dynamics of Viscoelastic Liquids

Author : Daniel D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 1461244625
Total Pages : 772 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Fluid Dynamics of Viscoelastic Liquids by : Daniel D. Joseph

Download or read book Fluid Dynamics of Viscoelastic Liquids written by Daniel D. Joseph and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.

Stability and Transition in Shear Flows

Author : Peter J. Schmid
Publisher : Springer Science & Business Media
ISBN 13 : 1461301858
Total Pages : 561 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Stability and Transition in Shear Flows by : Peter J. Schmid

Download or read book Stability and Transition in Shear Flows written by Peter J. Schmid and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.

Mechanics of Viscoelastic Fluids

Author : S. Zahorski
Publisher : Springer
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mechanics of Viscoelastic Fluids by : S. Zahorski

Download or read book Mechanics of Viscoelastic Fluids written by S. Zahorski and published by Springer. This book was released on 1982-10-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Hydrodynamic Stability

Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 1316582876
Total Pages : 278 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Hydrodynamic Stability by : P. G. Drazin

Download or read book Introduction to Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2002-09-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Advances in Nonlinear Dynamics, Volume I

Author : Walter Lacarbonara
Publisher : Springer Nature
ISBN 13 : 3031506316
Total Pages : 720 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Nonlinear Dynamics, Volume I by : Walter Lacarbonara

Download or read book Advances in Nonlinear Dynamics, Volume I written by Walter Lacarbonara and published by Springer Nature. This book was released on 2023 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This volume aims to present the latest advancements in experimental, analytical, and numerical methodologies aimed at exploring the nonlinear dynamics of diverse systems across varying length and time scales. It delves into the following topics: Methodologies for nonlinear dynamic analysis (harmonic balance, asymptotic techniques, enhanced time integration) Data-driven dynamics, machine learning techniques Exploration of bifurcations and nonsmooth systems Nonlinear phenomena in mechanical systems and structures Experimental dynamics, system identification, and monitoring techniques Fluid-structure interaction Dynamics of multibody systems Turning processes, rotating systems, and systems with time delays

Theoretical and Applied Rheology

Author : P. Moldenaers
Publisher : Elsevier
ISBN 13 : 1483294161
Total Pages : 1110 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Theoretical and Applied Rheology by : P. Moldenaers

Download or read book Theoretical and Applied Rheology written by P. Moldenaers and published by Elsevier. This book was released on 2013-10-22 with total page 1110 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 900 authors from over 35 countries contributed to the 1992 International Congress on Rheology. These proceedings volumes comprise 17 plenary and keynote papers, 250 oral contributions and some 200 poster presentations. All relevant aspects of rheology are covered, e.g., theoretical rheology, molecular theories, fluid mechanics, rheometry, experimental methods, foams, polymer solutions, polymer melts, rubber, solids, composites, biorheology, industrial rheology, polymer processing, food rheology and electrorheology, reflecting the development of rheology into a broad, multidisciplinary field of recognized academic and industrial relevance.

Collected Papers of R.S. Rivlin

Author : Grigory I. Barenblatt
Publisher : Springer Science & Business Media
ISBN 13 : 1461224160
Total Pages : 2868 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Collected Papers of R.S. Rivlin by : Grigory I. Barenblatt

Download or read book Collected Papers of R.S. Rivlin written by Grigory I. Barenblatt and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 2868 pages. Available in PDF, EPUB and Kindle. Book excerpt: R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.