The Method Of Volume Averaging

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The Method of Volume Averaging

Author : S. Whitaker
Publisher : Springer Science & Business Media
ISBN 13 : 9401733899
Total Pages : 236 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Method of Volume Averaging by : S. Whitaker

Download or read book The Method of Volume Averaging written by S. Whitaker and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiphase systems dominate nearly every area of science and technology, and the method of volume averaging provides a rigorous foundation for the analysis of these systems. The development is based on classical continuum physics, and it provides both the spatially smoothed equations and a method of predicting the effective transport coefficients that appear in those equations. The text is based on a ten-week graduate course that has been taught for more than 20 years at the University of California at Davis and at other universities around the world. Problems dealing with both the theoretical foundations and the applications are included with each chapter, and detailed solutions for all problems are available from the author. The course has attracted participants from chemical engineering, mechanical engineering, civil engineering, hydrologic science, mathematics, chemistry and physics.

Averaging Methods in Nonlinear Dynamical Systems

Author : Jan A. Sanders
Publisher : Springer Science & Business Media
ISBN 13 : 1475745753
Total Pages : 259 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Averaging Methods in Nonlinear Dynamical Systems by : Jan A. Sanders

Download or read book Averaging Methods in Nonlinear Dynamical Systems written by Jan A. Sanders and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we have developed the asymptotic analysis of nonlinear dynamical systems. We have collected a large number of results, scattered throughout the literature and presented them in a way to illustrate both the underlying common theme, as well as the diversity of problems and solutions. While most of the results are known in the literature, we added new material which we hope will also be of interest to the specialists in this field. The basic theory is discussed in chapters two and three. Improved results are obtained in chapter four in the case of stable limit sets. In chapter five we treat averaging over several angles; here the theory is less standardized, and even in our simplified approach we encounter many open problems. Chapter six deals with the definition of normal form. After making the somewhat philosophical point as to what the right definition should look like, we derive the second order normal form in the Hamiltonian case, using the classical method of generating functions. In chapter seven we treat Hamiltonian systems. The resonances in two degrees of freedom are almost completely analyzed, while we give a survey of results obtained for three degrees of freedom systems. The appendices contain a mix of elementary results, expansions on the theory and research problems.

Multiphase Averaging for Classical Systems

Author : P. Lochak
Publisher : Springer Science & Business Media
ISBN 13 : 1461210445
Total Pages : 360 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Multiphase Averaging for Classical Systems by : P. Lochak

Download or read book Multiphase Averaging for Classical Systems written by P. Lochak and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE's. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length. With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in averaging.

Particle Filtration: An Analysis Using the Method of Volume Averaging

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (88 download)

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Book Synopsis Particle Filtration: An Analysis Using the Method of Volume Averaging by :

Download or read book Particle Filtration: An Analysis Using the Method of Volume Averaging written by and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Asymptotic Methods in Nonlinear Oscillations

Author : Yuri A. Mitropolsky
Publisher : Springer Science & Business Media
ISBN 13 : 9401588473
Total Pages : 352 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Applied Asymptotic Methods in Nonlinear Oscillations by : Yuri A. Mitropolsky

Download or read book Applied Asymptotic Methods in Nonlinear Oscillations written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We use these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations.

Multiscale Methods

Author : Grigoris Pavliotis
Publisher : Springer Science & Business Media
ISBN 13 : 0387738290
Total Pages : 314 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Multiscale Methods by : Grigoris Pavliotis

Download or read book Multiscale Methods written by Grigoris Pavliotis and published by Springer Science & Business Media. This book was released on 2008-01-18 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

The Finite Volume Method in Computational Fluid Dynamics

Author : F. Moukalled
Publisher : Springer
ISBN 13 : 3319168746
Total Pages : 799 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Finite Volume Method in Computational Fluid Dynamics by : F. Moukalled

Download or read book The Finite Volume Method in Computational Fluid Dynamics written by F. Moukalled and published by Springer. This book was released on 2015-08-13 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

A Practical Guide to Averaging Functions

Author : Gleb Beliakov
Publisher : Springer
ISBN 13 : 3319247530
Total Pages : 365 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis A Practical Guide to Averaging Functions by : Gleb Beliakov

Download or read book A Practical Guide to Averaging Functions written by Gleb Beliakov and published by Springer. This book was released on 2015-10-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an easy-to-use and practice-oriented reference guide to mathematical averages. It presents different ways of aggregating input values given on a numerical scale, and of choosing and/or constructing aggregating functions for specific applications. Building on a previous monograph by Beliakov et al. published by Springer in 2007, it outlines new aggregation methods developed in the interim, with a special focus on the topic of averaging aggregation functions. It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions. A substantial mathematical background is not called for, as all the relevant mathematical notions are explained here and reported on together with a wealth of graphical illustrations of distinct families of aggregation functions. The authors mainly focus on practical applications and give central importance to the conciseness of exposition, as well as the relevance and applicability of the reported methods, offering a valuable resource for computer scientists, IT specialists, mathematicians, system architects, knowledge engineers and programmers, as well as for anyone facing the issue of how to combine various inputs into a single output value.

Value Averaging

Author : Michael E. Edleson
Publisher : John Wiley & Sons
ISBN 13 : 1118044746
Total Pages : 263 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Value Averaging by : Michael E. Edleson

Download or read book Value Averaging written by Michael E. Edleson and published by John Wiley & Sons. This book was released on 2011-01-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Edleson first introduced his concept of value averaging to the world in an article written in 1988. He then wrote a book entitled Value Averaging in 1993, which has been nearly impossible to find—until now. With the reintroduction of Value Averaging, you now have access to a strategy that can help you accumulate wealth, increase your investment returns, and achieve your financial goals.

Mathematical and Numerical Modeling in Porous Media

Author : Martin A. Diaz Viera
Publisher : CRC Press
ISBN 13 : 041566537X
Total Pages : 372 pages
Book Rating : 4.4/5 (156 download)

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Book Synopsis Mathematical and Numerical Modeling in Porous Media by : Martin A. Diaz Viera

Download or read book Mathematical and Numerical Modeling in Porous Media written by Martin A. Diaz Viera and published by CRC Press. This book was released on 2012-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.

Advances in Aerosol Gas Filtration

Author : Kvetoslav R. Spurny
Publisher : CRC Press
ISBN 13 : 9780873718301
Total Pages : 564 pages
Book Rating : 4.7/5 (183 download)

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Book Synopsis Advances in Aerosol Gas Filtration by : Kvetoslav R. Spurny

Download or read book Advances in Aerosol Gas Filtration written by Kvetoslav R. Spurny and published by CRC Press. This book was released on 1998-03-27 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aerosols are generally associated with damaging effects to the ozone and human health, however, some aerosols enable productions of very clean, highly dispersed materials. Advances in Aerosol Filtration is dedicated to progress in aerosol science, presenting newly developed theories, filtration models, and novel applications of aerosol gas filtration. Topics include new filtration materials, filter testing methods, electrically enhanced filtration, mechanical and chemical filter resistivity, computational models, and much more. This book examines the history and development of aerosol filtration science and also considers research needs for the future.

Modeling Approaches to Natural Convection in Porous Media

Author : Yan Su
Publisher : Springer
ISBN 13 : 3319142372
Total Pages : 56 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Modeling Approaches to Natural Convection in Porous Media by : Yan Su

Download or read book Modeling Approaches to Natural Convection in Porous Media written by Yan Su and published by Springer. This book was released on 2015-03-12 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the field of flow and heat transfer in porous medium and focuses on presentation of a generalized approach to predict drag and convective heat transfer within porous medium of arbitrary microscopic geometry, including reticulated foams and packed beds. Practical numerical methods to solve natural convection problems in porous media will be presented with illustrative applications for filtrations, thermal storage and solar receivers.

Forecasting: principles and practice

Author : Rob J Hyndman
Publisher : OTexts
ISBN 13 : 0987507117
Total Pages : 380 pages
Book Rating : 4.9/5 (875 download)

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Book Synopsis Forecasting: principles and practice by : Rob J Hyndman

Download or read book Forecasting: principles and practice written by Rob J Hyndman and published by OTexts. This book was released on 2018-05-08 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forecasting is required in many situations. Stocking an inventory may require forecasts of demand months in advance. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly.

Transport Phenomena in Porous Media II

Author : I. Pop
Publisher : Elsevier
ISBN 13 : 0080543170
Total Pages : 469 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Transport Phenomena in Porous Media II by : I. Pop

Download or read book Transport Phenomena in Porous Media II written by I. Pop and published by Elsevier. This book was released on 2002-06-20 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. Transport Phenomena in Porous Media II covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence. Transport Phenomena in Porous Media II is the second volume in a series emphasising the fundamentals and applications of research in porous media. It contains 16 interrelated chapters of controversial, and in some cases conflicting, research, over a wide range of topics. The first volume of this series, published in 1998, met with a very favourable reception. Transport Phenomena in Porous Media II maintains the original concept including a wide and diverse range of topics, whilst providing an up-to-date summary of recent research in the field by its leading practitioners.

Handbook of Environmental Fluid Dynamics, Volume One

Author : Harindra Joseph Fernando
Publisher : CRC Press
ISBN 13 : 1439816697
Total Pages : 638 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Environmental Fluid Dynamics, Volume One by : Harindra Joseph Fernando

Download or read book Handbook of Environmental Fluid Dynamics, Volume One written by Harindra Joseph Fernando and published by CRC Press. This book was released on 2012-12-12 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: With major implications for applied physics, engineering, and the natural and social sciences, the rapidly growing area of environmental fluid dynamics focuses on the interactions of human activities, environment, and fluid motion. A landmark for the field, the two-volume Handbook of Environmental Fluid Dynamics presents the basic principles, fundamental flow processes, modeling techniques, and measurement methods used in the study of environmental motions. It also offers critical discussions of environmental sustainability related to engineering. The handbook features 81 chapters written by 135 renowned researchers from around the world. Covering environmental, policy, biological, and chemical aspects, it tackles important cross-disciplinary topics such as sustainability, ecology, pollution, micrometeorology, and limnology. Volume One: Overview and Fundamentals provides a comprehensive overview of the basic principles. It starts with general topics that emphasize the relevance of environmental fluid dynamics research in society, public policy, infrastructure, quality of life, security, and the law. It then discusses established and emerging focus areas. The volume also examines the sub-mesoscale flow processes and phenomena that form the building blocks of environmental motions, with emphasis on turbulent motions and their role in heat, momentum, and species transport. As communities face existential challenges posed by climate change, rapid urbanization, and scarcity of water and energy, the study of environmental fluid dynamics becomes increasingly relevant. This volume is a valuable resource for students, researchers, and policymakers working to better understand the fundamentals of environmental motions and how they affect and are influenced by anthropogenic activities. See also Handbook of Environmental Fluid Dynamics, Two-Volume Set and Volume Two: Systems, Pollution, Modeling, and Measurements.

Transport Phenomena in Porous Media III

Author : Derek B Ingham
Publisher : Elsevier
ISBN 13 : 0080543189
Total Pages : 503 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Transport Phenomena in Porous Media III by : Derek B Ingham

Download or read book Transport Phenomena in Porous Media III written by Derek B Ingham and published by Elsevier. This book was released on 2005-07-29 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid and flow problems in porous media have attracted the attention of industrialists, engineers and scientists from varying disciplines, such as chemical, environmental, and mechanical engineering, geothermal physics and food science. There has been a increasing interest in heat and fluid flows through porous media, making this book a timely and appropriate resource.Each chapter is systematically detailed to be easily grasped by a research worker with basic knowledge of fluid mechanics, heat transfer and computational and experimental methods. At the same time, the readers will be informed of the most recent research literature in the field, giving it dual usage as both a post-grad text book and professional reference.Written by the recent directors of the NATO Advanced Study Institute session on 'Emerging Technologies and Techniques in Porous Media' (June 2003), this book is a timely and essential reference for scientists and engineers within a variety of fields.

Handbook of Micrometeorology

Author : Xuhui Lee
Publisher : Springer Science & Business Media
ISBN 13 : 1402022654
Total Pages : 261 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Micrometeorology by : Xuhui Lee

Download or read book Handbook of Micrometeorology written by Xuhui Lee and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Micrometeorology is the most up-to-date reference for micrometeorological issues and methods related to the eddy covariance technique for estimating mass and energy exchange between the terrestrial biosphere and the atmosphere. It provides useful insight for interpreting estimates of mass and energy exchange and understanding the role of the terrestrial biosphere in global environmental change.