Potential Flows Of Viscous And Viscoelastic Liquids

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Potential Flows of Viscous and Viscoelastic Liquids

Author : Daniel Joseph
Publisher : Cambridge University Press
ISBN 13 : 1139464868
Total Pages : 497 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Potential Flows of Viscous and Viscoelastic Liquids by : Daniel Joseph

Download or read book Potential Flows of Viscous and Viscoelastic Liquids written by Daniel Joseph and published by Cambridge University Press. This book was released on 2007-12-17 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates how potential flows enter into the general theory of motions of viscous and viscoelastic fluids. Traditionally, the theory of potential flow is presented as a subject called 'potential flow of an inviscid fluid'; when the fluid is incompressible these fluids are, curiously, said to be 'perfect' or 'ideal'. This type of presentation is widespread; it can be found in every book on fluid mechanics, but it is flawed. It is never necessary and typically not useful to put the viscosity of fluids in potential (irrotational) flow to zero. The dimensionless description of potential flows of fluids with a nonzero viscosity depends on the Reynolds number, and the theory of potential flow of an inviscid fluid can be said to rise as the Reynolds number tends to infinity. The theory given here can be described as the theory of potential flows at finite and even small Reynolds numbers.

Potential Flows of Viscous and Viscoelastic Fluids

Author : Daniel D. Joseph
Publisher :
ISBN 13 : 9780511508714
Total Pages : 497 pages
Book Rating : 4.5/5 (87 download)

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Book Synopsis Potential Flows of Viscous and Viscoelastic Fluids by : Daniel D. Joseph

Download or read book Potential Flows of Viscous and Viscoelastic Fluids written by Daniel D. Joseph and published by . This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates how potential flows enter into all problems of fluid mechanics.

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:

Viscous Flows

Author : Howard Brenner
Publisher : Butterworth-Heinemann
ISBN 13 : 1483289524
Total Pages : 625 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Viscous Flows by : Howard Brenner

Download or read book Viscous Flows written by Howard Brenner and published by Butterworth-Heinemann. This book was released on 2013-10-22 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representing a unique approach to the study of fluid flows, Viscous Flows demonstrates the utility of theoretical concepts and solutions for interpreting and predicting fluid flow in practical applications. By critically comparing all relevant classes of theoretical solutions with experimental data and/or general numerical solutions, it focuses on the range of validity of theoretical expressions rather than on their intrinsic character. This book features extensive use of dimensional analysis on both models and variables, and extensive development of theoretically based correlating equations. The range of applicability of most theoretical solutions is shown to be quite limited; however, in combination they are demonstrated to be more reliable than purely empirical expressions, particularly in novel applications.

Continuum Mechanics of Viscoelastic Liquids

Author : R. R. Huilgol
Publisher : Hindustan Publishing Corporation (India)
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Continuum Mechanics of Viscoelastic Liquids by : R. R. Huilgol

Download or read book Continuum Mechanics of Viscoelastic Liquids written by R. R. Huilgol and published by Hindustan Publishing Corporation (India). This book was released on 1975 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Viscous Fluid Flow

Author : Tasos Papanastasiou
Publisher : CRC Press
ISBN 13 : 1420050281
Total Pages : 435 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Viscous Fluid Flow by : Tasos Papanastasiou

Download or read book Viscous Fluid Flow written by Tasos Papanastasiou and published by CRC Press. This book was released on 2021-03-29 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: "With the appearance and fast evolution of high performance materials, mechanical, chemical and process engineers cannot perform effectively without fluid processing knowledge. The purpose of this book is to explore the systematic application of basic engineering principles to fluid flows that may occur in fluid processing and related activities. In Viscous Fluid Flow, the authors develop and rationalize the mathematics behind the study of fluid mechanics and examine the flows of Newtonian fluids. Although the material deals with Newtonian fluids, the concepts can be easily generalized to non-Newtonian fluid mechanics. The book contains many examples. Each chapter is accompanied by problems where the chapter theory can be applied to produce characteristic results. Fluid mechanics is a fundamental and essential element of advanced research, even for those working in different areas, because the principles, the equations, the analytical, computational and experimental means, and the purpose are common.

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Author : Barbara Kaltenbacher
Publisher : Springer
ISBN 13 : 3319927833
Total Pages : 309 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions by : Barbara Kaltenbacher

Download or read book Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions written by Barbara Kaltenbacher and published by Springer. This book was released on 2018-06-21 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.

Mathematical Modeling for Intelligent Systems

Author : Mukesh Kumar Awasthi
Publisher : CRC Press
ISBN 13 : 1000618404
Total Pages : 263 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Mathematical Modeling for Intelligent Systems by : Mukesh Kumar Awasthi

Download or read book Mathematical Modeling for Intelligent Systems written by Mukesh Kumar Awasthi and published by CRC Press. This book was released on 2022-07-29 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation aims to provide a reference for the applications of mathematical modeling using intelligent techniques in various unique industry problems in the era of Industry 4.0. Providing a thorough introduction to the field of soft-computing techniques, this book covers every major technique in artificial intelligence in a clear and practical style. It also highlights current research and applications, addresses issues encountered in the development of applied systems, and describes a wide range of intelligent systems techniques, including neural networks, fuzzy logic, evolutionary strategy, and genetic algorithms. This book demonstrates concepts through simulation examples and practical experimental results. Key Features: • Offers a well-balanced mathematical analysis of modeling physical systems • Summarizes basic principles in differential geometry and convex analysis as needed • Covers a wide range of industrial and social applications and bridges the gap between core theory and costly experiments through simulations and modeling • Focuses on manifold ranging from stability of fluid flows, nanofluids, drug delivery, and security of image data to pandemic modeling, etc. This book is primarily aimed at advanced undergraduates and postgraduate students studying computer science, mathematics, and statistics. Researchers and professionals will also find this book useful.

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.

Trends and Perspectives in Applied Mathematics

Author : Lawrence Sirovich
Publisher : Springer Science & Business Media
ISBN 13 : 1461208599
Total Pages : 347 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Trends and Perspectives in Applied Mathematics by : Lawrence Sirovich

Download or read book Trends and Perspectives in Applied Mathematics written by Lawrence Sirovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This marks the 100th volume to appear in the Applied Mathematical Sci ences series. Partial Differential Equations, by Fritz John, the first volume of the series, appeared in 1971. One year prior to its appearance, the then mathematics editor of Springer-Verlag, Klaus Peters, organized a meeting to look into the possibility of starting a series slanted toward applications. The meeting took place in New Rochelle, at the home of Fritz and Char lotte John. K.O. Friedrichs, Peter Lax, Monroe Donsker, Joe Keller, and others from the Courant Institute (previously, the Institute for Mathemat ical Sciences) were present as were Joe LaSalle and myself, the two of us having traveled down from Providence for the meeting. The John home, a large, comfortable house, especially lent itself to the informal, relaxed, and wide-ranging discussion that ensued. What emerged was a consensus that mathematical applications appeared to be poised for a period of growth and that there was a clear need for a series committed to applied mathematics. The first paragraph ofthe editorial statement written at that time reads as follows: The mathematization of all sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of mathematical-computer modeling and the necessity of scientific planning all create the need both in education and research for books that are introductory to and abreast of these developments.

An Introduction to Viscous Flow

Author : William Frank Hughes
Publisher : Hemisphere Pub
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis An Introduction to Viscous Flow by : William Frank Hughes

Download or read book An Introduction to Viscous Flow written by William Frank Hughes and published by Hemisphere Pub. This book was released on 1979 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Advances in Mathematical Fluid Mechanics

Author : Rolf Rannacher
Publisher : Springer Science & Business Media
ISBN 13 : 3642040683
Total Pages : 667 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Advances in Mathematical Fluid Mechanics by : Rolf Rannacher

Download or read book Advances in Mathematical Fluid Mechanics written by Rolf Rannacher and published by Springer Science & Business Media. This book was released on 2010-03-17 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume celebrates the 60th birthday of Professor Giovanni Paolo Galdi and honors his remarkable contributions to research in the ?eld of Mathematical Fluid Mechanics. The book contains a collection of 35 peer reviewed papers, with authors from 20 countries, re?ecting the worldwide impact and great inspiration by his work over the years. These papers were selected from invited lectures and contributed talks presented at the International Conference on Mathematical Fluid Mechanics held in Estoril, Portugal, May 21–25, 2007 and organized on the oc- sion of Professor Galdi’s 60th birthday. We express our gratitude to all the authors and reviewers for their important contributions. Professor Galdi devotes his career to research on the mathematical analysis of the Navier-Stokes equations and non-Newtonian ?ow problems, with special emphasis on hydrodynamic stability and ?uid-particle interactions, impressing the worldwide mathematical communities with his results. His numerous contributions have laid down signi?cant milestones in these ?elds, with a great in?uence on interdis- plinary research communities. He has advanced the careers of numerous young researchers through his generosity and encouragement, some directly through int- lectual guidance and others indirectly by pairing them with well chosen senior c- laborators. A brief review of Professor Galdi’s activities and some impressions by colleagues and friends are included here.

Potential Flows of Non-Newtonian Fluids

Author : Yi-Jen Liao
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Potential Flows of Non-Newtonian Fluids by : Yi-Jen Liao

Download or read book Potential Flows of Non-Newtonian Fluids written by Yi-Jen Liao and published by . This book was released on 1994 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fluid Dynamics and Transport of Droplets and Sprays

Author : W. A. Sirignano
Publisher : Cambridge University Press
ISBN 13 : 0521884896
Total Pages : 481 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Fluid Dynamics and Transport of Droplets and Sprays by : W. A. Sirignano

Download or read book Fluid Dynamics and Transport of Droplets and Sprays written by W. A. Sirignano and published by Cambridge University Press. This book was released on 2010-01-11 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theoretical foundations of spray and droplet applications relevant to the technology for active control of sprays applied to new products and applications, improved product performance, cost reductions, and improved environmental outcomes. It also covers theory related to power and propulsion; materials processing and manufacturing technologies including droplet-based net form processing, coating, and painting; medication; pesticides and insecticides; and other consumer uses.

Theory and Applications of Viscous Fluid Flows

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
ISBN 13 : 3662104474
Total Pages : 498 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Theory and Applications of Viscous Fluid Flows by : Radyadour Kh. Zeytounian

Download or read book Theory and Applications of Viscous Fluid Flows written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.