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Author : Peter J. Catania
Publisher :
ISBN 13 :
Total Pages : 894 pages
Book Rating : 4.:/5 (182 download)
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 894 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Emery Murch
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (412 download)
Download or read book The Converging Flow of Viscoelastic Fluids written by Robert Emery Murch and published by . This book was released on 1970 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (727 download)
Download or read book A Stable and Convergent Scheme for Viscoelastic Flow in Contraction Channels written by and published by . This book was released on 2004 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new algorithm to simulate unsteady viscoelastic flows in abrupt contraction channels. In our approach we split the viscoelastic terms of the Oldroyd-B constitutive equation using Duhamel's formula and discretize the resulting PDEs using a semi-implicit finite difference method based on a Lax-Wendroff method for hyperbolic terms. In particular, we leave a small residual elastic term in the viscous limit by design to make the hyperbolic piece well-posed. A projection method is used to impose the incompressibility constraint. We are able to compute the full range of elastic flows in an abrupt contraction channel--from the viscous limit to the elastic limit--in a stable and convergent manner for elastic Mach numbers less than one. We demonstrate the method for unsteady Oldroyd-B and Maxwell fluids in planar contraction channels.
Author : Arthur S. Lodge
Publisher : Academic Press
ISBN 13 : 1483263355
Total Pages : 456 pages
Book Rating : 4.4/5 (832 download)
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.
Author : Daniel D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 1461244625
Total Pages : 772 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Matiur Rahman
Publisher : Southampton : WIT
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book Instability of Flows written by Matiur Rahman and published by Southampton : WIT. This book was released on 2005 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A state-of-the art analysis of studies in the field of instability of flows, this book contains chapters by leading experts in fluid mechanics. One of the primary aims of the contributors is to determine fruitful directions for future advanced studies and research.
Author : Michael Renardy
Publisher : SIAM
ISBN 13 : 0898714575
Total Pages : 110 pages
Book Rating : 4.8/5 (987 download)
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.
Author : Hin-Sum Law
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.:/5 (191 download)
Download or read book Converging Flow of a Viscoelastic Fluid written by Hin-Sum Law and published by . This book was released on 1977 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Savvas G. Hatzikiriakos
Publisher : CRC Press
ISBN 13 : 142003068X
Total Pages : 484 pages
Book Rating : 4.4/5 (2 download)
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
Author : Jesse Raymond Black
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (932 download)
Download or read book Slow Converging Flows of Viscoelastic Liquids written by Jesse Raymond Black and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 3642809944
Total Pages : 290 pages
Book Rating : 4.6/5 (428 download)
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.
Author : Ron Darby
Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.3/5 (91 download)
Download or read book Viscoelastic Fluids written by Ron Darby and published by . This book was released on 1976 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bakul Ratilal Kamani
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (248 download)
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:
Author : Michael Renardy
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (546 download)
Download or read book Nonlinear Stability of Flows of Jeffreys Fluids at Low Weissenberg Numbers written by Michael Renardy and published by . This book was released on 1994 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We consider the stability of steady flows of viscoelastic fluids of Jeffreys type. For sufficiently small Weissenberg numbers, but arbitrary Reynolds numbers, it is proved that the flow is stable to small disturbances if the spectrum of the linearized operator is in the left half plane."
Author : Nabil Nassib Ghandour
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (11 download)
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.
Author : Daniel D. Joseph
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.3/5 (91 download)
Download or read book Stability of Fluid Motions written by Daniel D. Joseph and published by . This book was released on 1976 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adams. Earl Blaine
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (832 download)
Download or read book Birefringent Studies of a Viscoelastic Fluid in Converging and Diverging Flow written by Adams. Earl Blaine and published by . This book was released on 1964 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
