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Modeling and Analysis of Modern Fluid Problems

Modeling and Analysis of Modern Fluid Problems
A Book

by Liancun Zheng,Xinxin Zhang

  • Publisher : Academic Press
  • Release : 2017-04-26
  • Pages : 480
  • ISBN : 0128117591
  • Language : En, Es, Fr & De
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Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems Includes novel developments in fractional order differential equations with fractal theory applied to fluids Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids
A Book

by Laura De Lorenzis,Alexander Düster

  • Publisher : Springer Nature
  • Release : 2020-02-08
  • Pages : 220
  • ISBN : 3030375188
  • Language : En, Es, Fr & De
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The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics
A Book

by Alexander Gelfgat

  • Publisher : Springer
  • Release : 2018-08-07
  • Pages : 527
  • ISBN : 3319914944
  • Language : En, Es, Fr & De
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Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.

Fluid-structure Interactions

Fluid-structure Interactions
Models, Analysis and Finite Elements

by Thomas Richter

  • Publisher : Springer
  • Release : 2017-08-26
  • Pages : 436
  • ISBN : 3319639706
  • Language : En, Es, Fr & De
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This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.

Modeling and Analytical Methods in Tribology

Modeling and Analytical Methods in Tribology
A Book

by Ilya I. Kudish,Michael Judah Covitch

  • Publisher : CRC Press
  • Release : 2010-07-20
  • Pages : 928
  • ISBN : 1420087010
  • Language : En, Es, Fr & De
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Improving our understanding of friction, lubrication, and fatigue, Modeling and Analytical Methods in Tribology presents a fresh approach to tribology that links advances in applied mathematics with fundamental problems in tribology related to contact elasticity, fracture mechanics, and fluid film lubrication. The authors incorporate the classical tenets of tribology while providing new mathematical solutions that address various shortcomings in existing theories. From contact interactions to contact fatigue life, the book connects traditionally separate areas of tribology research to create a coherent modeling methodology that encompasses asymptotic and numerical techniques. The authors often demonstrate the efficacy of the models by comparing predictions to experimental data. In most cases, they derive equations from first principles. They also rigorously prove problem formulations and derive certain solution properties. Solutions to problems are presented using simple analytical formulas, graphs, and tables. In addition, the end-of-chapter exercises highlight points important for comprehending the material and mastering the appropriate skills. Unlocking the secrets that govern the physics of lubricated and dry contacts, this book helps tribologists on their quest to reduce friction, minimize wear, and extend the operating life of mechanical equipment. It provides a real-world industrial perspective so that readers can attain a practical understanding of the material.

Modern Fluid Dynamics

Modern Fluid Dynamics
Basic Theory and Selected Applications in Macro- and Micro-Fluidics

by Clement Kleinstreuer

  • Publisher : Springer Science & Business Media
  • Release : 2010-05-21
  • Pages : 620
  • ISBN : 9048120950
  • Language : En, Es, Fr & De
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This textbook covers essentials of traditional and modern fluid dynamics, i. e. , the fundamentals of and basic applications in fluid mechanics and convection heat transfer with brief excursions into fluid-particle dynamics and solid mechanics. Specifically, it is suggested that the book can be used to enhance the knowledge base and skill level of engineering and physics students in macro-scale fluid mechanics (see Chaps. 1–5 and 10), followed by an int- ductory excursion into micro-scale fluid dynamics (see Chaps. 6 to 9). These ten chapters are rather self-contained, i. e. , most of the material of Chaps. 1–10 (or selectively just certain chapters) could be taught in one course, based on the students’ background. Typically, serious seniors and first-year graduate students form a receptive audience (see sample syllabus). Such as target group of students would have had prerequisites in thermodynamics, fluid mechanics and solid mechanics, where Part A would be a welcomed refresher. While introductory fluid mechanics books present the material in progressive order, i. e. , employing an inductive approach from the simple to the more difficult, the present text adopts more of a deductive approach. Indeed, understanding the derivation of the basic equations and then formulating the system-specific equations with suitable boundary conditions are two key steps for proper problem solutions.

Modern Fluid Mechanics

Modern Fluid Mechanics
A Book

by Shiyi Bai

  • Publisher : Unknown Publisher
  • Release : 1981
  • Pages : 570
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Design and Analysis of Centrifugal Compressors

Design and Analysis of Centrifugal Compressors
A Book

by Rene Van den Braembussche

  • Publisher : John Wiley & Sons
  • Release : 2019-01-14
  • Pages : 408
  • ISBN : 1119424100
  • Language : En, Es, Fr & De
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A comprehensive overview of fluid dynamic models and experimental results that can help solve problems in centrifugal compressors and modern techniques for a more efficient aerodynamic design. Design and Analysis of Centrifugal Compressors isacomprehensive overview of the theoretical fluid dynamic models describing the flow in centrifugal compressors and the modern techniques for the design of more efficient centrifugal compressors. The author — a noted expert in the field, with over 40 years of experience — evaluates relevant numerical and analytical prediction models for centrifugal compressors with special attention to their accuracy and limitations. Relevant knowledge from the last century is linked with new insights obtained from modern CFD. Emphasis is to link the flow structure, performance and stability to the geometry of the different compressor components. Design and Analysis of Centrifugal Compressors is an accessible resource that combines theory with experimental data and previous research with recent developments in computational design and optimization. This important resource Covers the basic information concerning fluid dynamics that are specific for centrifugal compressors and clarifies the differences with axial compressors Provides an overview of performance prediction models previously developed in combination with extra results from research conducted by the author Describes helpful numerical and analytical models for the flow in the different components in relation to flow stability, operating range and performance Includes the fundamental information for the aerodynamic design of more efficient centrifugal compressors Explains the use of computational fluid dynamics (CFD) for the design and analysis of centrifugal compressors Written for engineers, researchers and designers in industry as well as for academics specializing in the field, Design and Analysis of Centrifugal Compressors offers an up to date overview of the information needed for the design of more effective centrifugal compressors.

Analysis and Simulation of Fluid Dynamics

Analysis and Simulation of Fluid Dynamics
A Book

by Caterina Calgaro,Jean-François Coulombel,Thierry Goudon

  • Publisher : Springer Science & Business Media
  • Release : 2007-12-27
  • Pages : 246
  • ISBN : 9783764377427
  • Language : En, Es, Fr & De
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This volume collects the contributions of a Conference held in June 2005 at the laboratoire Paul Painleve (UMR CNRS 8524) in Lille, France. The meeting was intended to review hot topics and future trends in fluid dynamics, with the objective to foster exchanges of various viewpoints (e.g. theoretical, and numerical) on the addressed questions. It comprises a collection of research articles on recent advances in the analysis and simulation of fluid dynamics.

Modeling and Analysis of Conventional Defense in Europe

Modeling and Analysis of Conventional Defense in Europe
Assessment of Improvement Options

by Reiner K. Huber

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 224
  • ISBN : 1461321751
  • Language : En, Es, Fr & De
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This book presents a collection of contributions to a workshop on "Long-teY'fr/ Development of NATO's Conventional Forrward Defense" to which the GERMAN STRATEGY FORUM (DSF*» had invited some 50 systems analysts and defense experts of the United States, the United Kingdom, the Federal Republic of Germany and the SHAPE Technical Centre. Held in Bonn from 2 to 4 December 1984, this workshop was to provide a forum for the dis cussion, at a non-political expert level and in the light of available analysis results, of proposals for the improvement of NATO's conventional defense capabilities. In addition, it aimed at arriving at some recommenda tions as to which of these proposals deserve to be studied further and what methodological deficiencies must be alleviated and information gaps closed for an adequate assessment. The idea to organize this workshop has been discussed ever since 1980 with several defense systems analysts in the US and the UK who shared the opinion that, with a view to the immense global build-up of the Soviet threat on one hand and the stringency of defense resources in most NATO countries on the other, there is no reason that could permit us to dismiss any proposal promising improvement without careful study.

Modern Problems in Applied Analysis

Modern Problems in Applied Analysis
A Book

by Piotr Drygaś,Sergei Rogosin

  • Publisher : Birkhäuser
  • Release : 2018-03-21
  • Pages : 214
  • ISBN : 3319726404
  • Language : En, Es, Fr & De
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This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Mathematical Modeling

Mathematical Modeling
A Book

by Stefan Heinz

  • Publisher : Springer Science & Business Media
  • Release : 2011-07-03
  • Pages : 460
  • ISBN : 9783642203114
  • Language : En, Es, Fr & De
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The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, chemistry, and physics. This textbook gives an overview of the spectrum of modeling techniques, deterministic and stochastic methods, and first-principle and empirical solutions. Complete range: The text continuously covers the complete range of basic modeling techniques: it provides a consistent transition from simple algebraic analysis methods to simulation methods used for research. Such an overview of the spectrum of modeling techniques is very helpful for the understanding of how a research problem considered can be appropriately addressed. Complete methods: Real-world processes always involve uncertainty, and the consideration of randomness is often relevant. Many students know deterministic methods, but they do hardly have access to stochastic methods, which are described in advanced textbooks on probability theory. The book develops consistently both deterministic and stochastic methods. In particular, it shows how deterministic methods are generalized by stochastic methods. Complete solutions: A variety of empirical approximations is often available for the modeling of processes. The question of which assumption is valid under certain conditions is clearly relevant. The book provides a bridge between empirical modeling and first-principle methods: it explains how the principles of modeling can be used to explain the validity of empirical assumptions. The basic features of micro-scale and macro-scale modeling are discussed – which is an important problem of current research.

Computational Fluid Dynamics: Principles and Applications

Computational Fluid Dynamics: Principles and Applications
A Book

by Jiri Blazek

  • Publisher : Elsevier
  • Release : 2005-12-20
  • Pages : 496
  • ISBN : 9780080529677
  • Language : En, Es, Fr & De
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Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today’s CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.

Probability and Partial Differential Equations in Modern Applied Mathematics

Probability and Partial Differential Equations in Modern Applied Mathematics
A Book

by Edward C. Waymire

  • Publisher : Springer Science & Business Media
  • Release : 2010-06-14
  • Pages : 272
  • ISBN : 038729371X
  • Language : En, Es, Fr & De
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"Probability and Partial Differential Equations in Modern Applied Mathematics" is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in the sciences and engineering. A probabilistic representation of solutions to partial differential equations that arise as deterministic models allows one to exploit the power of stochastic calculus and probabilistic limit theory in the analysis of deterministic problems, as well as to offer new perspectives on the phenomena for modeling purposes. There is also a growing appreciation of the role for the inclusion of stochastic effects in the modeling of complex systems. This has led to interesting new mathematical problems at the interface of probability, dynamical systems, numerical analysis, and partial differential equations. This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical systems approaches and numerical analysis for mathematical modeling in the sciences and engineering.

Analysis and Simulation of Multifield Problems

Analysis and Simulation of Multifield Problems
A Book

by Wolfgang L. Wendland,Messoud Efendiev

  • Publisher : Springer Science & Business Media
  • Release : 2003-05-20
  • Pages : 381
  • ISBN : 9783540006961
  • Language : En, Es, Fr & De
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The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany.

Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models

Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models
A Book

by Pierre-Louis Lions

  • Publisher : Oxford University Press on Demand
  • Release : 1996-06-27
  • Pages : 252
  • ISBN : 9780198514879
  • Language : En, Es, Fr & De
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One of the most challenging topics in applied mathematics over the past decades has been the developent of the theory of nonlinear partial differential equations. Many of the problems in mechanics, geometry, probability, etc lead to such equations when formulated in mathematical terms. However, despite a long history of contributions, there exists no central core theory, and the most important advances have come from the study of particular equations and classes of equations arising in specific applications. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations like the incompressible and compressible Navier-Stokes equations. The main emphasis in Volume 1 is on the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, an original and self-contained study of both the classical Navier-Stokes equations (including the inhomogenous case) and the Euler equations is given. Known results and many new results about the existence and regularity of solutions are presented with complete proofs. The discussion contiatns many interesting insights and remarks. The text highlights in particular the use of modern analytical tools and methods and also indicates many open problems. Volume 2 will be devoted to essentially new results for compressible models. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena. Pierre-Louis Lions is Professor of Mathematics at the University of Paris-Dauphine and of Applied Mathematics at the Ecole Polytechnique.

Mechanical Design of Electric Motors

Mechanical Design of Electric Motors
A Book

by Wei Tong

  • Publisher : CRC Press
  • Release : 2014-04-28
  • Pages : 736
  • ISBN : 1420091441
  • Language : En, Es, Fr & De
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Rapid increases in energy consumption and emphasis on environmental protection have posed challenges for the motor industry, as has the design and manufacture of highly efficient, reliable, cost-effective, energy-saving, quiet, precisely controlled, and long-lasting electric motors.Suitable for motor designers, engineers, and manufacturers, as well

Engineering Mathematics I

Engineering Mathematics I
Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering

by Sergei Silvestrov,Milica Rančić

  • Publisher : Springer
  • Release : 2016-11-26
  • Pages : 341
  • ISBN : 3319420828
  • Language : En, Es, Fr & De
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This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis and computational modelling used in applications to important problems concerning electromagnetics, antenna technologies, fluid dynamics, material and continuum physics and financial engineering. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cutting-edge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed.The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at Mälardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st Swedish-Estonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications.It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book.

Analysis, Modeling and Simulation of Multiscale Problems

Analysis, Modeling and Simulation of Multiscale Problems
A Book

by Alexander Mielke

  • Publisher : Springer Science & Business Media
  • Release : 2006-10-14
  • Pages : 697
  • ISBN : 3540356576
  • Language : En, Es, Fr & De
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This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.

Modern Methods in Scientific Computing and Applications

Modern Methods in Scientific Computing and Applications
A Book

by Anne Bourlioux,Martin Gander

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 492
  • ISBN : 9401005109
  • Language : En, Es, Fr & De
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When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote. More immediate things were on our minds: one of us was about to go on leave to the Courant Institute, the other preparing for a research summer in Paris. But the more we learned about the possibilities of such a seminar, the support for the organization and also the great history of the SMS, the more we grew attached to the project. The topics we planned to cover were intended to span a wide range of theoretical and practical tools for solving problems in image processing, thin films, mathematical finance, electrical engineering, moving interfaces, and combustion. These applications alone show how wide the influence of scientific computing has become over the last two decades: almost any area of science and engineering is greatly influenced by simulations, and the SMS workshop in this field came very timely. We decided to organize the workshop in pairs of speakers for each of the eight topics we had chosen, and we invited the leading experts worldwide in these fields. We were very fortunate that every speaker we invited accepted to come, so the program could be realized as planned.