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The Method Of Volume Averaging

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The Method Of Volume Averaging

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Author : S. Whitaker
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-30

The Method Of Volume Averaging written by S. Whitaker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-30 with Science categories.

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.

The Method Of Volume Averaging

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Author : S. Whitaker
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Averaging Methods In Nonlinear Dynamical Systems

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Author : Jan A. Sanders
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-18

Averaging Methods In Nonlinear Dynamical Systems written by Jan A. Sanders and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-18 with Mathematics categories.

Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added. Review of First Edition "One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews

Applied Asymptotic Methods In Nonlinear Oscillations

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Author : Yuri A. Mitropolsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Applied Asymptotic Methods In Nonlinear Oscillations written by Yuri A. Mitropolsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.

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.

Drying 85

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Author : Ryozo Toei
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Drying 85 written by Ryozo Toei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.

It is a pleasure to present this volume consisting of a selection of papers presented at the 4th International Drying Symposium (IDS) held in Kyoto, July 9-12, 1984, under the sponsorship of the Society of Chemi cal Engineers, Japan. This book includes full texts of the ten keynote lectures and several papers which were presented in the technical sessions in the 4th IDS. As editors we had the arduous and unpleasant task of selecting papers for this volume. We were delighted with the high quality manuscripts sub mitted. We are grateful to the authors for their efforts in meeting the manuscript guidelines and also the deadlines. Aside from quality, we have attempted to maintain in this volume a balance of coverage in terms of topics as well as geography. Space restrictions prevented us from presenting all the high quality papers for publication in DRYING 85. Numerous papers of archival interest have been released for general publication in international journals. Several will no doubt appear in Drying Technology - An International Journal. Many others will find their way into other standard engineering journals as well. Over 120 papers from 30 countries were included in the Proceedings volumes distributed to all registrants in Kyoto. Numerous individuals, professional societies and organizations have contributed, directly or indirectly, to the success of the 4th IDS and hence to DRYING 85 as well. We wish to acknowledge in particular the monumental efforts of the Secretary of the 4th IDS, Professor M. Okazaki.

Geotechnics Of Soft Soils Focus On Ground Improvement

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Author : Minna Karstunen
language : en
Publisher: CRC Press
Release Date : 2008-08-25

Geotechnics Of Soft Soils Focus On Ground Improvement written by Minna Karstunen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-25 with Technology & Engineering categories.

Natural soft soils are very complex materials. As construction activities increasingly take place in poor ground conditions, ground improvement is often required. However, design practices for ground improvement were for long at best crude and conservative, and at worst unsafe. Although new construction and field observation techniques have been de

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Author :
language : en
Publisher: BRILL
Release Date :

written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Mathematical And Numerical Modeling In Porous Media

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Author : Martin A. Diaz Viera
language : en
Publisher: CRC Press
Release Date : 2012-07-24

Mathematical And Numerical Modeling In Porous Media written by Martin A. Diaz Viera and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-24 with Mathematics categories.

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.

Multiscale Methods

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Author : Grigoris Pavliotis
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-18

Multiscale Methods written by Grigoris Pavliotis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-18 with Mathematics categories.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and s- bolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook - ries is to meet the current and future needs of these advances and to encourage the teaching of new couses. TAM will publish textbooks suitable for use in advanced undergraduate and - ginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research-level mo- graphs. Pasadena, California J.E. Marsden New York, New York L. Sirovich College Park, Maryland S.S. Antman To my parentsA????? and?o?????? and to my brother?????o. Carry Home.????o???. For my children Natalie, Sebastian, and Isobel.

Modeling Approaches To Natural Convection In Porous Media

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Author : Yan Su
language : en
Publisher: Springer
Release Date : 2015-03-12

Modeling Approaches To Natural Convection In Porous Media written by Yan Su and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-12 with Business & Economics categories.

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.

The Method Of Volume Averaging

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