Electrorheological Fluids: Modeling and Mathematical Theory

Electrorheological Fluids: Modeling and Mathematical Theory

Author: Michael Ruzicka

Publisher: Springer

Published: 2007-05-06

Total Pages: 186

ISBN-13: 3540444270

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This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.


Book Synopsis Electrorheological Fluids: Modeling and Mathematical Theory by : Michael Ruzicka

Download or read book Electrorheological Fluids: Modeling and Mathematical Theory written by Michael Ruzicka and published by Springer. This book was released on 2007-05-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

Electrorheological Fluids

Electrorheological Fluids

Author: Michael Růžička

Publisher:

Published: 2000

Total Pages: 23

ISBN-13:

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Book Synopsis Electrorheological Fluids by : Michael Růžička

Download or read book Electrorheological Fluids written by Michael Růžička and published by . This book was released on 2000 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Models and Non-classical Approaches in Complex Materials 1

Generalized Models and Non-classical Approaches in Complex Materials 1

Author: Holm Altenbach

Publisher: Springer

Published: 2018-03-24

Total Pages: 760

ISBN-13: 3319724401

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This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.


Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications

Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications

Author: Rongjia Tao

Publisher: World Scientific

Published: 1994-07-26

Total Pages: 694

ISBN-13: 9814552046

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This volume covers the most recent progress and development in the physical mechanisms, materials technology, properties and applications of electrorheological (ER) fluids. It includes papers about a newly emerging material, magneto-rheological (MR) fluids, as well. The science of ER fluids and MR fluids is making a great impact on industry and technology. Contributions come from leading experts in the field. This volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics, materials science, chemistry and engineering. It not only gives details about the leading edge of research and applications, but also provides an overall view of the field.


Book Synopsis Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications by : Rongjia Tao

Download or read book Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications written by Rongjia Tao and published by World Scientific. This book was released on 1994-07-26 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the most recent progress and development in the physical mechanisms, materials technology, properties and applications of electrorheological (ER) fluids. It includes papers about a newly emerging material, magneto-rheological (MR) fluids, as well. The science of ER fluids and MR fluids is making a great impact on industry and technology. Contributions come from leading experts in the field. This volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics, materials science, chemistry and engineering. It not only gives details about the leading edge of research and applications, but also provides an overall view of the field.

Numerical Methods for Non-Newtonian Fluids

Numerical Methods for Non-Newtonian Fluids

Author: Philippe G. Ciarlet

Publisher: Elsevier

Published: 1990

Total Pages: 827

ISBN-13: 0444530479

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Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.


Book Synopsis Numerical Methods for Non-Newtonian Fluids by : Philippe G. Ciarlet

Download or read book Numerical Methods for Non-Newtonian Fluids written by Philippe G. Ciarlet and published by Elsevier. This book was released on 1990 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.

Advances in Complex Analysis and Applications

Advances in Complex Analysis and Applications

Author: Francisco Bulnes

Publisher: BoD – Books on Demand

Published: 2020-11-04

Total Pages: 172

ISBN-13: 1839683600

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The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.


Book Synopsis Advances in Complex Analysis and Applications by : Francisco Bulnes

Download or read book Advances in Complex Analysis and Applications written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2020-11-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.

Numerical Methods for Non-Newtonian Fluids

Numerical Methods for Non-Newtonian Fluids

Author:

Publisher: Elsevier

Published: 2010-12-20

Total Pages: 824

ISBN-13: 0080932029

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Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. New review of well-known computational methods for the simulation viscoelastic and viscoplastic types.; Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods.; Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids.;


Book Synopsis Numerical Methods for Non-Newtonian Fluids by :

Download or read book Numerical Methods for Non-Newtonian Fluids written by and published by Elsevier. This book was released on 2010-12-20 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. New review of well-known computational methods for the simulation viscoelastic and viscoplastic types.; Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods.; Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids.;

IUTAM Symposium on Vibration Control of Nonlinear Mechanisms and Structures

IUTAM Symposium on Vibration Control of Nonlinear Mechanisms and Structures

Author: H. Ulbrich

Publisher: Springer Science & Business Media

Published: 2006-01-28

Total Pages: 414

ISBN-13: 1402041616

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During the last decades, the growth of micro-electronics has reduced the cost of computing power to a level acceptable to industry and has made possible sophisticated control strategies suitable for many applications. Vibration c- trol is applied to all kinds of engineering systems to obtain the desired dynamic behavior, improved accuracy and increased reliability during operation. In this context, one can think of applications related to the control of structures’ vib- tion isolation, control of vehicle dynamics, noise control, control of machines and mechanisms and control of ?uid-structure-interaction. One could continue with this list for a long time. Research in the ?eld of vibration control is extremely comprehensive. Pr- lems that are typical for vibration control of nonlinear mechanisms and str- tures arise in the ?elds of modeling systems in such a way that the model is suitable for control design, to choose appropriate actuator and sensor locations and to select the actuators and sensors. Theobjective of the Symposium was to present anddiscuss methodsthat contribute to thesolution of such problems and to demonstrate the state of the art inthe ?eld shown by typical examples. The intention was to evaluate the limits of performance that can beachievedby controlling the dynamics, and to point out gaps in present research and give links for areas offuture research.Mainly, it brought together leading experts from quite different areas presenting theirpoints of view.


Book Synopsis IUTAM Symposium on Vibration Control of Nonlinear Mechanisms and Structures by : H. Ulbrich

Download or read book IUTAM Symposium on Vibration Control of Nonlinear Mechanisms and Structures written by H. Ulbrich and published by Springer Science & Business Media. This book was released on 2006-01-28 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decades, the growth of micro-electronics has reduced the cost of computing power to a level acceptable to industry and has made possible sophisticated control strategies suitable for many applications. Vibration c- trol is applied to all kinds of engineering systems to obtain the desired dynamic behavior, improved accuracy and increased reliability during operation. In this context, one can think of applications related to the control of structures’ vib- tion isolation, control of vehicle dynamics, noise control, control of machines and mechanisms and control of ?uid-structure-interaction. One could continue with this list for a long time. Research in the ?eld of vibration control is extremely comprehensive. Pr- lems that are typical for vibration control of nonlinear mechanisms and str- tures arise in the ?elds of modeling systems in such a way that the model is suitable for control design, to choose appropriate actuator and sensor locations and to select the actuators and sensors. Theobjective of the Symposium was to present anddiscuss methodsthat contribute to thesolution of such problems and to demonstrate the state of the art inthe ?eld shown by typical examples. The intention was to evaluate the limits of performance that can beachievedby controlling the dynamics, and to point out gaps in present research and give links for areas offuture research.Mainly, it brought together leading experts from quite different areas presenting theirpoints of view.

Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids

Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids

Author: Kolumban Hutter

Publisher: Springer

Published: 2007-02-22

Total Pages: 422

ISBN-13: 3540372407

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This book delivers a thorough derivation of nonrelativistic interaction models of electromagnetic field theories with thermoelastic solids and viscous fluids, the intention being to derive unique representations for the observable field quantities. This volume is intended for and will be useful to students and researchers working on all aspects of electromagneto-mechanical interactions in the materials sciences of complex solids and fluids.


Book Synopsis Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids by : Kolumban Hutter

Download or read book Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids written by Kolumban Hutter and published by Springer. This book was released on 2007-02-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book delivers a thorough derivation of nonrelativistic interaction models of electromagnetic field theories with thermoelastic solids and viscous fluids, the intention being to derive unique representations for the observable field quantities. This volume is intended for and will be useful to students and researchers working on all aspects of electromagneto-mechanical interactions in the materials sciences of complex solids and fluids.

Tutorials in Mathematical Biosciences II

Tutorials in Mathematical Biosciences II

Author: James Sneyd

Publisher: Springer

Published: 2005-06-13

Total Pages: 202

ISBN-13: 3540314385

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This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.


Book Synopsis Tutorials in Mathematical Biosciences II by : James Sneyd

Download or read book Tutorials in Mathematical Biosciences II written by James Sneyd and published by Springer. This book was released on 2005-06-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.