The Stability Of Viscoelastic Fluids In Complex Flows

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The Stability of Viscoelastic Fluids in Complex Flows

Author : Jonathan Philip Rothstein
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (489 download)

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Book Synopsis The Stability of Viscoelastic Fluids in Complex Flows by : Jonathan Philip Rothstein

Download or read book The Stability of Viscoelastic Fluids in Complex Flows written by Jonathan Philip Rothstein and published by . This book was released on 2001 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Cont.) A large extra pressure drop above that measured for a similar Newtonian fluid is documented and found to correlate to the stress-conformation hysteresis observed in transient uniaxial extension measurements. Laser Doppler velocimetry, particle image velocimetry and flow induced birefringence are used to investigate the global kinematics upstream of contraction-expansions of various contraction ratios and degrees of re-entrant corner curvature. For a contraction ratio of beta=2 a steady elastic lip vortex is observed whereas for 4

Bifurcation and Stability of Complex Flows

Author : S. Rosenblat
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Bifurcation and Stability of Complex Flows by : S. Rosenblat

Download or read book Bifurcation and Stability of Complex Flows written by S. Rosenblat and published by . This book was released on 1985 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work performed under this Contract was principally concerned with the theoretical investigation of bifurcation and stability phenomena in complex fluid flows. A major part of the effort was devoted to the study of viscoelastic fluids, with special was devoted to the study of viscoelastic fluids, with special emphasis on the problems concerned with convective instabilities. Both model systems and fluid governing equations were investigated. The dependence of predicted behavior on constitutive relations became very clear. Other convection-type problems considered included coupled thermal loops and convection pattern in the presence of a melting-freezing interface. Keywords: Stability of fluid flows; Bifurcation phenomena; Viscoelastic fluids; Nonlinear hydrodynamic stability.

Elements of Stability of Viscoelastic Fluids

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

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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:

Couette Flow

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

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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:

Some Problems in the Stability of Flows of Viscoelastic Fluids

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

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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.

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 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.

The Hydrodynamic Stability of Viscoelastic Fluids in Plane Parallel Flow

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

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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:

Channel Flow Instabilities of Complex Fluids

Author : Hugo A. Castillo Sánchez
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (116 download)

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Book Synopsis Channel Flow Instabilities of Complex Fluids by : Hugo A. Castillo Sánchez

Download or read book Channel Flow Instabilities of Complex Fluids written by Hugo A. Castillo Sánchez and published by . This book was released on 2019 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex fluids are present in our daily life: food, paints, plastics, pharmaceuticals, to name just a few, and thus, their study is of great interest to the industry. In many industrial processes, raw materials are transformed into finished products with specific rheological properties. Such a transformation may consist of many intermediate physical processes (extruding, melting, coating, pumping, among others). However, the complex nature of these materials might be problematic in many of these operations. More specifically, when complex fluids are under flow conditions, an unexpected behaviour may be observed: for instance, the presence of non-ideal velocity fields during steady flow. In fluid mechanics, we refer to these undesired behaviours as \textit{flow instabilities}; they can occur in a variety of commercially important processing operations. This thesis is a study of instabilities in inertialess viscoelastic flows, also known as \textit{purely elastic instabilities}. The main research content of the thesis is split into three main chapters. In the first, we extend previous theoretical work on a newly discovered elastic instability in planar channel flow of highly shear-thinning viscoelastic fluids. Our motivation was to answer whether the mechanism of such instability observed is truly elastic or principally as a result of strong shear-thinning; we found that both components were critical for the existence of the instability. In the second chapter, we carried out a similar analysis to study instabilities in channel flow of fluids that exhibit much more complex rheological behaviour: thixotropic-viscoelasto-plasticity (TVEP). For the most unstable flows, we showed that the growth rate of instability scales with the rate of recovery of thixotropic structure. Finally, in a third chapter, we extended the scope of the fluids we could consider by including the shear-banding phenomenon in the flows of TVEP fluids; this allowed us to identify distinct bulk and interfacial modes of instability.

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.

Viscoelastic Fluids

Author : Ron Darby
Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Viscoelastic Fluids by : Ron Darby

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:

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:

Advances in the Flow and Rheology of Non-Newtonian Fluids

Author : D.A. Siginer
Publisher : Elsevier
ISBN 13 : 0080540554
Total Pages : 895 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Advances in the Flow and Rheology of Non-Newtonian Fluids by : D.A. Siginer

Download or read book Advances in the Flow and Rheology of Non-Newtonian Fluids written by D.A. Siginer and published by Elsevier. This book was released on 1999-05-07 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain chapters written by experts in such areas as bio and food rheology, polymer rheology, flow of suspensions, flow in porous media, electrorheological fluids, etc. Computational as well as analytical mathematical descriptions, involving appropriate constitutive equations deal with complex flow situations of industrial importance. This work is unique in that it brings together state of the art reviews and recent advances in a variety of areas, involving viscoelastic materials, in a desirable and timely manner.

Mathematical Analysis of Viscoelastic Flows

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

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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.

Experiments in the Stability of Rotating Flows for Viscoelastic Fluids

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

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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:

Computational Rheology

Author : Robert G Owens
Publisher : World Scientific
ISBN 13 : 1783261951
Total Pages : 437 pages
Book Rating : 4.7/5 (832 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. This book was released on 2002-05-29 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory and Computation in Hydrodynamic Stability

Author : W. O. Criminale
Publisher : Cambridge University Press
ISBN 13 : 110869800X
Total Pages : 566 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Theory and Computation in Hydrodynamic Stability by : W. O. Criminale

Download or read book Theory and Computation in Hydrodynamic Stability written by W. O. Criminale and published by Cambridge University Press. This book was released on 2018-12-06 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing to the most complex, considering linear and nonlinear situations, and analyzing temporal and spatial stability. The authors examine each problem both analytically and numerically. Many relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. The text includes copious illustrations and an extensive bibliography, making it suitable for courses on hydrodynamic stability or as an authoritative reference for researchers. In this second edition the opportunity has been taken to update the text and, most importantly, provide solutions to the numerous extended exercises.