Viscoelastic Flow Through Contraction Geometries

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Viscoelastic Flow Through Contraction Geometries

Author : Ashwin K. Sankaran
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (815 download)

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Book Synopsis Viscoelastic Flow Through Contraction Geometries by : Ashwin K. Sankaran

Download or read book Viscoelastic Flow Through Contraction Geometries written by Ashwin K. Sankaran and published by . This book was released on 2012 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contraction flow of viscoelastic fluids has been a benchmark problem in non-Newtonian fluid mechanics because it mimics flows occurring in a number of industrial applications. It is also of considerable interest to academia to gain fundamental understanding of factors that affect the evolution of vortices and a complete understanding of the dynamics for a simple polymeric fluid has not been achieved. In this two part study we investigate the effect of pre deformation of a Boger fluid in a contraction geometry and the flow of surfactants in a parallel contraction geometry. Entry flow of a polymeric fluid results in the formation of upstream vortices, the presence of recirculation zones may lead to a nonuniform residence time and hence inferior quality products. In this work we study the effect of pre-stretching dilute flexible chain polymers by placing a cylinder in front of a contraction in a microfluidic device. This deformation applied to the polymer is remembered before it completely relaxes, this memory effect changes the rheological properties during the fading period of the deformation history. Applying pre-deformation gives rise to new type of vortex evolution that is different from the standard contraction case. Semi-dilute surfactant solutions that exhibit shear thickening nature can be potentially used in enhanced oil recovery to increase the sweep efficiency. Two parallel microfluidic contractions of different cross sectional area are used to investigate the rheological effect on the mass flux of the two channels. Shear thickening micellar solutions were found to increase the mass flux through the small channel compared to a newtonian fluid. This effect was observed only for a small range of flow rates. As flow rates increased inlet instabilities were observed that evolved into a chaotic behavior upon further increase in the net flow rate.

Simulation of the Flow of Viscoelastic Fluids in Contraction Geometries

Author : Paul John Coates
Publisher :
ISBN 13 :
Total Pages : 646 pages
Book Rating : 4.:/5 (266 download)

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Book Synopsis Simulation of the Flow of Viscoelastic Fluids in Contraction Geometries by : Paul John Coates

Download or read book Simulation of the Flow of Viscoelastic Fluids in Contraction Geometries written by Paul John Coates and published by . This book was released on 1992 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Microscopic Flow of Viscoelastic Wormlike Micellar Solutions Through Contraction Geometries

Author : Emad Jafari Nodoushan
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (122 download)

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Book Synopsis Microscopic Flow of Viscoelastic Wormlike Micellar Solutions Through Contraction Geometries by : Emad Jafari Nodoushan

Download or read book Microscopic Flow of Viscoelastic Wormlike Micellar Solutions Through Contraction Geometries written by Emad Jafari Nodoushan and published by . This book was released on 2020 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic fluids are commonly used in many engineering applications such as in polymer processing industry, enhanced oil recovery and inkjet printing. Viscoelastic contraction flow represents the most common flow condition in those applications, but the flow is associated with its inherent problems such as additional pressure drops and flow instabilities. It is well known that formation of secondary flows at the upstream corners of the contraction greatly influences the fluidic behavior and promotes the flow instabilities. Therefore, investigating the flow conditions that induce the secondary flow has been an extensive research subject with the ultimate goal of elucidating the kinematics of viscoelastic contraction flows. Several relevant studies concluded that formation of secondary flow is influenced greatly by the elastic stress associated with the viscoelastic flow. Non-dimensional numbers that estimates the ratio of elastic stress to viscous (Wi and De numbers) or inertial (El number) stress has been used to quantify the effect of elasticity on the viscoelastic flow behavior. Even though a general consensus has been established that the higher elastic stress promoted the formation and enhancement of secondary flow, quite different flow behaviors were reported for the different fluids at the same level of elastic stress. Additionally, comparable secondary flows were also observed at different levels of elastic stresses. It should be noted that these non-dimensional numbers could not solely characterize the behavior of viscoelastic contraction flow. In this study, in addition to the role of elastic stress, the contribution of shear dependent rheology and extensional characteristics of the viscoelastic test fluids to the contraction fluidic behavior has been investigated experimentally. Wormlike micellar solutions (WMS) were chosen as the viscoelastic test fluids in virtue of their advantageous characteristics over polymer solutions and their growing applications. The shear and extensional rheology of the test fluids were characterized, and the velocity and shear deformation profiles associated with their contraction flow were quantitatively measured.

Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model

Author : Wan-Chi Tsai
Publisher :
ISBN 13 : 9781321023800
Total Pages : pages
Book Rating : 4.0/5 (238 download)

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Book Synopsis Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model by : Wan-Chi Tsai

Download or read book Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model written by Wan-Chi Tsai and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a convergent and stable numerical algorithm to simulate unsteady incompressible viscoelastic flow in two dimensional complex geometry. The incompressible viscous momentum equation, coupled with the multiple mode Giesekus constitutive equation for viscoelastic stress, are used to model viscoelastic fluids in our problems. We recast the hyperbolic part of equations to a second order conservative finite difference method and leave the elliptic part as a source term to be computed by implicit methods. A second order Godunov method is introduced to compute edge-centered, time-centered primitive variables for calculating fluxes in a conservative finite difference equation, and then cell-centered conservative variables are updated using a hybrid flux divergence and source terms. The nonlinear stress source term in the elliptic part is computed separately by applying an operator splitting method with a new, stable, discretization. A projection method is used to enforce the velocity incompressibility constraint and to update pressure. Irregular computational domains are discretized with a Cartesian grid embedded boundary method. We demonstrate our numerical method by computing flow passing a sphere, flow in a well-rounded contraction channel, and in an abrupt contraction channel, with component Weissenberg numbers exceeding 300. The convergence rates of the solution error are second order in the L1 and L2 norms, and first order in the L[infinity] norm for velocity components in arbitrary smooth geometries. For stress components, this numerical algorithm showed second order convergence rate in the L1 norm, higher than first order in the L2 norm.

Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry

Author : Gien-Huang Wu
Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry by : Gien-Huang Wu

Download or read book Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry written by Gien-Huang Wu and published by . This book was released on 1995 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics of Isothermal and Non-isothermal Viscoelastic Flows Through an Axisymmetric Sudden Contraction

Author : Bulent Yesilata
Publisher :
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.:/5 (415 download)

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Book Synopsis Nonlinear Dynamics of Isothermal and Non-isothermal Viscoelastic Flows Through an Axisymmetric Sudden Contraction by : Bulent Yesilata

Download or read book Nonlinear Dynamics of Isothermal and Non-isothermal Viscoelastic Flows Through an Axisymmetric Sudden Contraction written by Bulent Yesilata and published by . This book was released on 1998 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of isothermal and non-isothermal flows of a viscoelastic fluid (PIB/PB/C14 polymer solution referred to as PIB Boger fluid) in an axisymmetric sudden contraction geometry (4:1) are studied. Such flows are of great importance in commercial polymer processes such as extrusion, injection molding, and fiber spinning, and also in polymer rheology using capillary rheometers. This problem serves as a benchmark problem for the numerical simulation of viscoelastic flows in complex geometries as well.

Transport and Mixing in Laminar Flows

Author : Roman Grigoriev
Publisher : John Wiley & Sons
ISBN 13 : 3527639756
Total Pages : 178 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Transport and Mixing in Laminar Flows by : Roman Grigoriev

Download or read book Transport and Mixing in Laminar Flows written by Roman Grigoriev and published by John Wiley & Sons. This book was released on 2012-01-09 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers from academia and industry with an up-to-date overview of important advances in the field, dealing with such fundamental fluid mechanics problems as nonlinear transport phenomena and optimal control of mixing at the micro- and nanoscale. The editors provide both in-depth knowledge of the topic as well as vast experience in guiding an expert team of authors. The review style articles offer a coherent view of the micromixing methods, resulting in a much-needed synopsis of the theoretical models needed to direct experimental research and establish engineering principles for future applications. Since these processes are governed by nonlinear phenomena, this book will appeal to readers from both communities: fluid mechanics and nonlinear dynamics.

A Stable and Convergent Scheme for Viscoelastic Flow in Contraction Channels

Author :
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis A Stable and Convergent Scheme for Viscoelastic Flow in Contraction Channels by :

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.

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.

Viscoelasticity

Author : Juan De Vicente
Publisher : IntechOpen
ISBN 13 : 9789535108412
Total Pages : 0 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Viscoelasticity by : Juan De Vicente

Download or read book Viscoelasticity written by Juan De Vicente and published by IntechOpen. This book was released on 2012-11-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a wealth of useful information on current research on viscoelasticity. By covering a broad variety of rheology, non-Newtonian fluid mechanics and viscoelasticity-related topics, this book is addressed to a wide spectrum of academic and applied researchers and scientists but it could also prove useful to industry specialists. The subject areas include, theory, simulations, biological materials and food products among others.

A Solver for Time Dependent Viscoelastic Fluid Flows

Author : Fredrik Olsson
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (186 download)

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Book Synopsis A Solver for Time Dependent Viscoelastic Fluid Flows by : Fredrik Olsson

Download or read book A Solver for Time Dependent Viscoelastic Fluid Flows written by Fredrik Olsson and published by . This book was released on 1993 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present a solver for computing time dependent viscoelastic flow in two space dimensions for UCM, Oldroyd-B and Giesekus fluids. The method is based on second order accurate finite differences on composite overlapping grids, created with the grid generating program CMPGRD. Several numerical results are presented. We demonstrate viscoelastic instabilities in a channel flow with a cylinder. A study of a 2:1-contraction flow indicates why this geometry has been difficult to simulate. We also give an industrial example by computing a paper coating flow for a Giesekus fluid."

Rheology - Volume I

Author : Crispulo Gallegos
Publisher : EOLSS Publications
ISBN 13 : 1848263198
Total Pages : 498 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Rheology - Volume I by : Crispulo Gallegos

Download or read book Rheology - Volume I written by Crispulo Gallegos and published by EOLSS Publications. This book was released on 2010-11-30 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rheology is a component of Encyclopedia of Chemical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty Encyclopedias. Rheology is the study of the flow of matter. It is classified as a physics discipline and focuses on substances that do not maintain a constant viscosity or state of flow. That can involve liquids, soft solids and solids that are under conditions that cause them to flow. It applies to substances which have a complex molecular structure, such as muds, sludges, suspensions, polymers and other glass formers, as well as many foods and additives, bodily fluids and other biological materials. The theme on Rheology focuses on five main areas, namely, basic concepts of rheology; rheometry; rheological materials, rheological processes and theoretical rheology. Of course, many of the chapters contain material from more than one general area. Rheology is an interdisciplinary subject which embraces many aspects of mathematics, physics, chemistry, engineering and biology. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Computational Mechanics

Author : Zhenhan Yao
Publisher : Springer Science & Business Media
ISBN 13 : 3540759999
Total Pages : 452 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Mechanics by : Zhenhan Yao

Download or read book Computational Mechanics written by Zhenhan Yao and published by Springer Science & Business Media. This book was released on 2009-03-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics is the proceedings of the International Symposium on Computational Mechanics, ISCM 2007. This conference is the first of a series created by a group of prominent scholars from the Mainland of China, Hong Kong, Taiwan, and overseas Chinese, who are very active in the field. The book includes 22 full papers of plenary and semi-plenary lectures and approximately 150 one-page summaries.

Mathematical Analysis of Viscoelastic Flows

Author : Michael Renardy
Publisher : SIAM
ISBN 13 : 9780898719413
Total Pages : 113 pages
Book Rating : 4.7/5 (194 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 113 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.

Viscoelastic Materials

Author : Roderic S. Lakes
Publisher : Cambridge University Press
ISBN 13 : 052188568X
Total Pages : 481 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Viscoelastic Materials by : Roderic S. Lakes

Download or read book Viscoelastic Materials written by Roderic S. Lakes and published by Cambridge University Press. This book was released on 2009-04-27 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text on viscoelastic materials addresses design applications as diverse as earplugs, computer disks and medical diagnostics.

Planar Entry Flow of Low Viscosity Elastic Fluids in Micro Fabricated Contraction Geometries

Author : Lucy Rodd
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (224 download)

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Book Synopsis Planar Entry Flow of Low Viscosity Elastic Fluids in Micro Fabricated Contraction Geometries by : Lucy Rodd

Download or read book Planar Entry Flow of Low Viscosity Elastic Fluids in Micro Fabricated Contraction Geometries written by Lucy Rodd and published by . This book was released on 2006 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Flexible Polymer Chains in Elongational Flow

Author : Tuan Q. Nguyen
Publisher : Springer Science & Business Media
ISBN 13 : 3642582524
Total Pages : 413 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Flexible Polymer Chains in Elongational Flow by : Tuan Q. Nguyen

Download or read book Flexible Polymer Chains in Elongational Flow written by Tuan Q. Nguyen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behavior of polymer solutions in simple shear flows has been the subject of considerable research in the past. On the other hand, reports on polymers in elongational flow have appeared comparatively recently in the literature. Elongational flow with an inherent low vorticity is known to be more effective in extending polymer chains than simple shear flow and thus is more interesting from the point of view of basic (molecular chain dynamics at high deformation) and applied polymer science (rheology, fiber extrusion, drag reduction, flow through porous media). Undoubtly, one landmark in the field of polymer dynamics in elongational flow was the notion of critical strain-rate for chain extension, initially put forward by A. Peterlin (1966) and later refined into the "coil-stretching" transition by P. G. de Gennes and H. Hinch (1974). In the two decades which followed, significant progress in the understanding of chain conformation in "strong" flow has been accomplished through a combination of advances in instrumentation, computation techniques and theoretical studies. As a result of the multidisciplinary nature of the field, information on polymer chains in "strong" flow is accessible only from reviews and research papers scattered in disparate scientific journals. An important objective of this book is to remedy that situation by providing the reader with up-to-date knowledge in a single volume. The editors therefore invited leading specialists to provide both fundamental and applied information on the multiple facets of chain deformation in elongational flow.