Analysis Of Complex Viscoelastic Flows Using A Finite Element Method

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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.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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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 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex fluids

Author : Pierre Saramito
Publisher : Springer
ISBN 13 : 3319443623
Total Pages : 287 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Complex fluids by : Pierre Saramito

Download or read book Complex fluids written by Pierre Saramito and published by Springer. This book was released on 2016-10-26 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. It discusses industrial (molten plastics, forming process), geophysical (mud flows, volcanic lava, glaciers and snow avalanches), and biological (blood flows, tissues) modeling applications. This book is a valuable resource for undergraduate students and researchers in applied mathematics, mechanical engineering and physics.

Developments in the Flow of Complex Fluids in Tubes

Author : Dennis A. Siginer
Publisher : Springer
ISBN 13 : 3319024264
Total Pages : 169 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Developments in the Flow of Complex Fluids in Tubes by : Dennis A. Siginer

Download or read book Developments in the Flow of Complex Fluids in Tubes written by Dennis A. Siginer and published by Springer. This book was released on 2014-11-11 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the tube flow of viscoelastic fluids and Newtonian single and multi-phase particle-laden fluids. This succinct volume collects the most recent analytical developments and experimental findings, in particular in predicting the secondary field, highlighting the historical developments which led to the progress made. This book brings a fresh and unique perspective and covers and interprets efforts to model laminar flow of viscoelastic fluids in tubes and laminar and turbulent flow of single and multi-phase particle-laden flow of linear fluids in the light of the latest findings.

Handbook of Numerical Analysis

Author : Philippe G. Ciarlet
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444512475
Total Pages : 502 pages
Book Rating : 4.5/5 (124 download)

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Book Synopsis Handbook of Numerical Analysis by : Philippe G. Ciarlet

Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1978 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Simulation of Non-Newtonian Flow

Author : M.J. Crochet
Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Simulation of Non-Newtonian Flow by : M.J. Crochet

Download or read book Numerical Simulation of Non-Newtonian Flow written by M.J. Crochet and published by Elsevier Publishing Company. This book was released on 1984-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Simulation of Non-Newtonian Flow focuses on the numerical simulation of non-Newtonian flow using finite difference and finite element techniques. Topics range from the basic equations governing non-Newtonian fluid mechanics to flow classification and finite element calculation of flow (generalized Newtonian flow and viscoelastic flow). An overview of finite difference and finite element methods is also presented. Comprised of 11 chapters, this volume begins with an introduction to non-Newtonian mechanics, paying particular attention to the rheometrical properties of non-Newtonian fluids as well as non-Newtonian flow in complex geometries. The role of non-Newtonian fluid mechanics is also considered. The discussion then turns to the basic equations governing non-Newtonian fluid mechanics, including Navier Stokes equations and rheological equations of state. The next chapter describes a flow classification in which the various flow problems are grouped under five main headings: flows dominated by shear viscosity, slow flows (slightly elastic liquids), small deformation flows, nearly-viscometric flows, and long-range memory effects in complex flows. The remainder of the book is devoted to numerical analysis of non-Newtonian fluids using finite difference and finite element techniques. This monograph will be of interest to students and practitioners of physics and mathematics.

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
ISBN 13 : 1118869680
Total Pages : 600 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2014-12-16 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Numerical Mathematics and Advanced Applications

Author : Alfredo Bermúdez de Castro
Publisher : Springer Science & Business Media
ISBN 13 : 3540342885
Total Pages : 1202 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Mathematics and Advanced Applications by : Alfredo Bermúdez de Castro

Download or read book Numerical Mathematics and Advanced Applications written by Alfredo Bermúdez de Castro and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 1202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, and more.

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 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.

Adhesion Science and Engineering

Author :
Publisher : Elsevier
ISBN 13 : 0080525989
Total Pages : 2020 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Adhesion Science and Engineering by :

Download or read book Adhesion Science and Engineering written by and published by Elsevier. This book was released on 2002-11-14 with total page 2020 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mechanics of Adhesion shows that adhesion science and technology is inherently an interdisciplinary field, requiring fundamental understanding of mechanics, surfaces, and materials. This volume comprises 19 chapters. Starting with a background and introduction to stress transfer principles; fracture mechanics and singularities; and an energy approach to debonding, the volume continues with analysis of structural lap and butt joint configurations. It then continues with discussions of test methods for strength and constitutive properties; fracture; peel; coatings, the case of adhesion to a single substrate; elastomeric adhesives such as sealants. The role of mechanics in determining the locus of failure in bonded joints is discussed, followed by a chapter on rheology relevant to adhesives and sealants. Pressure sensitive adhesive performance; the principles of tack and tack measurements; and contact mechanics relevant to wetting and surface energy measurements are then covered. The volume concludes with sections on fibermatrix bonding and reinforcement; durability considerations for adhesive bonds; ultrasonic non-destructive evaluation of adhesive bonds; and design of adhesive bonds from a strength perspective. This book will be of interest to practitioners in the fields of engineering and to those with an interest in adhesion science.

Journal of Rheology

Author :
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.6/5 (937 download)

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Book Synopsis Journal of Rheology by :

Download or read book Journal of Rheology written by and published by . This book was released on 2005 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Finite Element Method: Solid mechanics

Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)

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Book Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations

Author : Roland Glowinski
Publisher : Springer Science & Business Media
ISBN 13 : 1402087586
Total Pages : 294 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Partial Differential Equations by : Roland Glowinski

Download or read book Partial Differential Equations written by Roland Glowinski and published by Springer Science & Business Media. This book was released on 2008-06-26 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 250 years partial di?erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at ?rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the ?rst to bene?t from the impact of partial di?erential equations on modeling and design, but a little less than a century ago the Schr ̈ odinger equation was the key opening the door to the application of partial di?erential equations to quantum chemistry, for small atomic and molecular systems at ?rst, but then for systems of fast growing complexity. The place of partial di?erential equations in mathematics is a very particular one: initially, the partial di?erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di?erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ‘constructively’ the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di?erential equations. On the other hand, several areas of mathematics such as di?erential ge- etry have bene?ted from their interactions with partial di?erential equations.

Numerical Simulation of Incompressible Viscous Flow

Author : Roland Glowinski
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110785013
Total Pages : 232 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski

Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to split complicated computational fluid dynamics problems into a sequence of simpler sub-problems. A methodology for solving more advanced applications such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid is also presented.

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.