Viscoelastic Fluids
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Viscoelastic Fluids
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Author : Ron Darby
language : en
Publisher:
Release Date : 1976
Viscoelastic Fluids written by Ron Darby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Science categories.
Fluid Dynamics Of Viscoelastic Liquids
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Author : Daniel D. Joseph
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Fluid Dynamics Of Viscoelastic Liquids written by Daniel D. Joseph 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 2013-11-27 with Science categories.
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.
Viscoelastic Fluids
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Author : Ronald Darby
language : en
Publisher:
Release Date : 1976
Viscoelastic Fluids written by Ronald Darby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Fluid dynamics categories.
Stability Of Non Linear Constitutive Formulations For Viscoelastic Fluids
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Author : Dennis A. Siginer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-05
Stability Of Non Linear Constitutive Formulations For Viscoelastic Fluids written by Dennis A. Siginer 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 2013-12-05 with Technology & Engineering categories.
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.
Mechanics Of Viscoelastic Fluids
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Author : S. Zahorski
language : en
Publisher: Springer
Release Date : 1982-10-31
Mechanics Of Viscoelastic Fluids written by S. Zahorski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-10-31 with Science categories.
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.
Mechanics Of Viscoelastic Fluids
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Author : Stefan Zahorski
language : en
Publisher:
Release Date : 1981
Mechanics Of Viscoelastic Fluids written by Stefan Zahorski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Elements Of Stability Of Viscoelastic Fluids
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Author : J. Dunwoody
language : en
Publisher: Longman
Release Date : 1989
Elements Of Stability Of Viscoelastic Fluids written by J. Dunwoody and has been published by Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Fluid dynamics categories.
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.
Potential Flows Of Viscous And Viscoelastic Liquids
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Author : Daniel Joseph
language : en
Publisher: Cambridge University Press
Release Date : 2007-12-17
Potential Flows Of Viscous And Viscoelastic Liquids written by Daniel Joseph and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-17 with Technology & Engineering categories.
This book illustrates how potential flows enter into the general theory of motions of viscous and viscoelastic fluids. Traditionally, the theory of potential flow is presented as a subject called 'potential flow of an inviscid fluid'; when the fluid is incompressible these fluids are, curiously, said to be 'perfect' or 'ideal'. This type of presentation is widespread; it can be found in every book on fluid mechanics, but it is flawed. It is never necessary and typically not useful to put the viscosity of fluids in potential (irrotational) flow to zero. The dimensionless description of potential flows of fluids with a nonzero viscosity depends on the Reynolds number, and the theory of potential flow of an inviscid fluid can be said to rise as the Reynolds number tends to infinity. The theory given here can be described as the theory of potential flows at finite and even small Reynolds numbers.