Potential Flows of Viscous and Viscoelastic Liquids

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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

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Publisher :
ISBN 13 : 9780511508059
Total Pages : 517 pages
Book Rating : 4.5/5 (8 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 2014-05-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Viscoelastic Fluids

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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

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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.

Fluid Dynamics of Viscoelastic Liquids

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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.

Mathematical Analysis of Viscoelastic Flows

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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.

Viscous Fluid Flow

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Publisher : CRC Press
ISBN 13 : 9781420050288
Total Pages : 440 pages
Book Rating : 4.0/5 (52 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 440 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.

Viscoelasticity and Rheology

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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.

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

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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

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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.

Trends and Perspectives in Applied Mathematics

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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

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Author :
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:

Numerical Simulation of Incompressible Viscous Flow

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110785056
Total Pages : 236 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 2022-09-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Fluid Dynamics and Transport of Droplets and Sprays

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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.

Advances in Mathematical Modelling, Applied Analysis and Computation

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Publisher : Springer Nature
ISBN 13 : 3031563042
Total Pages : 365 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Mathematical Modelling, Applied Analysis and Computation by : Jagdev Singh

Download or read book Advances in Mathematical Modelling, Applied Analysis and Computation written by Jagdev Singh and published by Springer Nature. This book was released on with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Fluid Dynamics

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Publisher : Springer Nature
ISBN 13 : 9811543089
Total Pages : 1014 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Advances in Fluid Dynamics by : B. Rushi Kumar

Download or read book Advances in Fluid Dynamics written by B. Rushi Kumar and published by Springer Nature. This book was released on 2020-07-10 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected peer-reviewed proceedings of the International Conference on Applications of Fluid Dynamics (ICAFD 2018) organized by the School of Advanced Sciences, Vellore Institute of Technology, India, in association with the University of Botswana and the Society for Industrial and Applied Mathematics (SIAM), USA. With an aim to identify the existing challenges in the area of applied mathematics and mechanics, the book emphasizes the importance of establishing new methods and algorithms to address these challenges. The topics covered include diverse applications of fluid dynamics in aerospace dynamics and propulsion, atmospheric sciences, compressible flow, environmental fluid dynamics, control structures, viscoelasticity and mechanics of composites. Given the contents, the book is a useful resource for students, researchers as well as practitioners.

Potential Flows of Non-Newtonian Fluids

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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: