Some Problems In The Stability Of Flows Of Viscoelastic Fluids

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Some Problems in the Stability of Flows of Viscoelastic Fluids

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Author : Pijush Kanti Kundu
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.:/5 (227 download)

Book Synopsis Some Problems in the Stability of Flows of Viscoelastic Fluids by : Pijush Kanti Kundu

Download or read book Some Problems in the Stability of Flows of Viscoelastic Fluids written by Pijush Kanti Kundu and published by . This book was released on 1972 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three problems in the stability of viscoelastic flows have been theoretically investigated. The case of plane Couette flow has been solved by the classical energy method of Orr. For two-dimensional disturbances of any magnitude the presence of elasticity has been found to stabilize the flow. This result suggests that the viscous sublayer thickness must increase during the so-called Toms phenomenon. It has been found that the results are identical for three fluids, namely the second-order fluid and the Walters fluids A' and B', although the normal stress behavior of these fluids are quite different. This insensitivity to the constitutive equation has been shown to be a result of the two-dimensionality of the problem. Linear stability theory has been used to investigate the stability of two flows of the Oldroyd fluid, namely the plane Poiseuille flow and the circular Couette flow. For both flows the presence of elasticity has been found to destabilize the flow and to increase the critical wavenumber.

Some Stability Problems in Viscoelastic Flows

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Author : Mordechai Sokolov
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (239 download)

Book Synopsis Some Stability Problems in Viscoelastic Flows by : Mordechai Sokolov

Download or read book Some Stability Problems in Viscoelastic Flows written by Mordechai Sokolov and published by . This book was released on 1971 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Stability of Viscoelastic Fluids

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Author : J. Dunwoody
Publisher : Longman
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (44 download)

Book Synopsis Elements of Stability of Viscoelastic Fluids by : J. Dunwoody

Download or read book Elements of Stability of Viscoelastic Fluids written by J. Dunwoody and published by Longman. This book was released on 1989 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability of Flows of Thermo-viscoelastic Fluids Between Rotating Coaxial Circular Cylinders

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Author : Nabil Nassib Ghandour
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (11 download)

Book Synopsis Stability of Flows of Thermo-viscoelastic Fluids Between Rotating Coaxial Circular Cylinders by : Nabil Nassib Ghandour

Download or read book Stability of Flows of Thermo-viscoelastic Fluids Between Rotating Coaxial Circular Cylinders written by Nabil Nassib Ghandour and published by . This book was released on 1971 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate in this thesis, the problem of stability of thermo-viscoelastic fluid flow between rotating coaxial cylinders. By using the thermo-viscoelastic constitutive equations given by Eringen, we reduce the equations of motion into a form suitable for stability analysis. The course of reduction which we follow yields some interesting intermediate results. The solution for the steady state couette flow problem is found. Interestingly enough, the velocity field for this problem is found to be identical with the classical viscous case and the case of a Reiner-Rivlin fluid, but the temperature and pressure fields are different. The non-dimensional forms of the equations of motion governing the couette flow of thermo-viscoelastic fluids in a heat reservoir are given. These equations are reduced further by considering a small gap between the cylinders and by imposing some physically reasonable mechanical and geometrical restrictions on the flow. This results in a secular equation which forms a characteristic value problem. The solution of the characteristic value problem has been obtained and this yields a criterion for stability in terms of a critical Taylor number. In general, the critical values of Taylor numbers are found to be higher than corresponding ones in classical hydrodynamic stability problems, which implies that thermo-viscoelastic fluids are more stable, in a couette flow, than classical viscous fluids under a similar situation. Comparing this result with existing investigations in non- Newtonian fluids we find that, like Bingham fluids, thermoviscoelastic fluids are more stable than viscous and Reiner-Rivlin fluids.

Mechanics of Viscoelastic Fluids

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

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:

Experiments in the Stability of Rotating Flows for Viscoelastic Fluids

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Author : Bakul Ratilal Kamani
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (248 download)

Book Synopsis Experiments in the Stability of Rotating Flows for Viscoelastic Fluids by : Bakul Ratilal Kamani

Download or read book Experiments in the Stability of Rotating Flows for Viscoelastic Fluids written by Bakul Ratilal Kamani and published by . This book was released on 1971 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Hydrodynamic Stability of Viscoelastic Fluids in Plane Parallel Flow

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Author : Kenneth Clark Porteous
Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.:/5 (415 download)

Book Synopsis The Hydrodynamic Stability of Viscoelastic Fluids in Plane Parallel Flow by : Kenneth Clark Porteous

Download or read book The Hydrodynamic Stability of Viscoelastic Fluids in Plane Parallel Flow written by Kenneth Clark Porteous and published by . This book was released on 1971 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Viscoelasticity and Rheology

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

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.

Mathematical Analysis of Viscoelastic Flows

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Author : Michael Renardy
Publisher : SIAM
ISBN 13 : 0898714575
Total Pages : 110 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Mathematical Analysis of Viscoelastic Flows by : Michael Renardy

Download or read book Mathematical Analysis of Viscoelastic Flows written by Michael Renardy and published by SIAM. This book was released on 2000-01-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability Problems in Walters B' Viscoelastic Fluid

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Author : PARDEEP. KUMAR
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659129810
Total Pages : 0 pages
Book Rating : 4.1/5 (298 download)

Book Synopsis Stability Problems in Walters B' Viscoelastic Fluid by : PARDEEP. KUMAR

Download or read book Stability Problems in Walters B' Viscoelastic Fluid written by PARDEEP. KUMAR and published by LAP Lambert Academic Publishing. This book was released on 2012-05-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability Problems in Walters B' Viscoelastic Fluid, About the book: This book is mainly concerned with mathematical analysis of Walters B' viscoelastic fluid. Salient Features: 1. Chapter-1 is introductory in nature that reviews the essential, existing literature in the field of viscoelastic fluid. Chapter-2 presents the results for the thermal instability of viscoelastic fluid heated from below in the presence of rotation and magnetic field. Chapter-3 extends the consideration of Chapter-2 for porous medium. Chapter-4 investigates the stability of superposed viscoelastic fluids and derives the results for Rayleigh-Taylor instability problem. Chapter-5 extends the results of Chapter-4 for porous medium. Chapter-6 concern with Kelvin-Helmholtz instability and extends the results of Chapter-5. Chapter-7 mathematically derive the criteria for stability in the problem of immiscible, viscoelastic liquid-liquid displacements in porous medium.

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids

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Author : Arkadii I. Leonov
Publisher : Springer
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids by : Arkadii I. Leonov

Download or read book Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids written by Arkadii I. Leonov and published by Springer. This book was released on 1994-04-30 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability of Fluid Motions II

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

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.

Stable and Unstable Converging Flows of Viscoelastic Fluids

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Author : Peter J. Catania
Publisher :
ISBN 13 :
Total Pages : 954 pages
Book Rating : 4.:/5 (112 download)

Book Synopsis Stable and Unstable Converging Flows of Viscoelastic Fluids by : Peter J. Catania

Download or read book Stable and Unstable Converging Flows of Viscoelastic Fluids written by Peter J. Catania and published by . This book was released on 1977 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Author :
Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.:/5 (31 download)

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 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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

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.

Couette Flow

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Author : Joel Jay Roisman
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (44 download)

Book Synopsis Couette Flow by : Joel Jay Roisman

Download or read book Couette Flow written by Joel Jay Roisman and published by . This book was released on 1968 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Stability of Parallel Flows Between Plane Boundaries of Two Superposed Viscoelastic Fluids

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Author : Norman A. Eisenberg
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (42 download)

Book Synopsis The Stability of Parallel Flows Between Plane Boundaries of Two Superposed Viscoelastic Fluids by : Norman A. Eisenberg

Download or read book The Stability of Parallel Flows Between Plane Boundaries of Two Superposed Viscoelastic Fluids written by Norman A. Eisenberg and published by . This book was released on 1974 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: