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Sunday, July 26, 2020 | History

1 edition of Homogenization and Porous Media found in the catalog.

Homogenization and Porous Media

by Ulrich Hornung

  • 207 Want to read
  • 7 Currently reading

Published by Springer New York in New York, NY .
Written in English

    Subjects:
  • Mathematics,
  • Global analysis (Mathematics)

  • About the Edition

    This book discusses methods and results from the theory of homogenization and their applications to flow and transport in porous media. It offers a systematic and rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales. The chapters are devoted to percolation, Newtonian, non-Newtonian phenomena, two phase flow, miscible displacement, thermal and elastic effects. Detailed studies of micro-structure systems and computational results for dual-porosity models are presented. This book will be of interest to readers who want to learn the main underlying ideas and concepts of modern mathematical theory, including the most recently obtained results and applications. Mathematicians, soil physicists, geo-hydrologists, chemical engineers, researchers working in an oil reservoir simulation and the environmental sciences, will find this book of particular interest.

    Edition Notes

    Statementedited by Ulrich Hornung
    SeriesInterdisciplinary Applied Mathematics -- 6, Interdisciplinary applied mathematics -- 6.
    Classifications
    LC ClassificationsQA299.6-433
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (xvi, 279 p.)
    Number of Pages279
    ID Numbers
    Open LibraryOL27043902M
    ISBN 101461273390, 1461219205
    ISBN 109781461273394, 9781461219200
    OCLC/WorldCa853268722

    Homogenized Poisson’s ratio of porous media 3 In the two-scale asymptotic method the effective elasticity tensor related to the porous medium can be represented by the following expression CCK0 = f +, () where C0 is the effective (homogenized) elasticity tensor, f is the volume fraction of the.   Homogenization of the Cahn–Hilliard model in porous media has previously only been studied for the case in which the interface thickness is comparable with the characteristic pore size [35,36]. This results in an effective Cahn–Hilliard equation where the interface mobility is derived through a set of cell by:

    By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our study is the dependence of the yield stress of the Bingham fluid on the small parameters describing the geometry of the thin porous medium under : María Anguiano, Renata Bunoiu. We study the homogenization problem for a convection-diffusion equation in a periodic porous medium in the presence of a chemical reaction on the pores' surface. Mathematically this model is described in terms of a solution to a system of convection-diffusion equations in the medium and ordinary differential equation defined on the pores' by:

      The authors share the view that the general methods of homogenization should be more widely understood and practiced by applied scientists and engineers. Hence this book is aimed at providing a less abstract treatment of the theory of homogenization for treating inhomogeneous media, and at illustrating its broad range of applications.   Principles of Heat Transfer in Porous Media by M. Kaviany, , available at Book Depository with free delivery worldwide/5(2).


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Homogenization and Porous Media by Ulrich Hornung Download PDF EPUB FB2

The methods and results of the theory of homogenization and their applications to flow and transport in porous media are discussed in this book. It offers a systematic and rigorous treatment of upscaling procedures related to physical modeling for porous media on micro- meso- and : Hardcover.

*immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. For several decades developments in porous media have taken place in almost independent areas.

In civilengineering, many papers were publisheddealing with the foundations offlow and transport through porous media. The method used in most cases is called averaging, and the notion ofa representative elementary vol­ ume(REV)playsanimportantrole.5/5(1).

The methods and results of the theory of homogenization and their applications to flow and transport in porous media are discussed in this book. It offers a systematic and rigorous treatment of upscaling procedures related to physical modeling for porous media on micro- meso- and macro-scales.

Homogenization and Porous Media (Interdisciplinary Applied Mathematics) Softcover reprint of the original 1st ed. Edition by Ulrich Hornung (Editor) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Format: Paperback. Cimrman R and Rohan E () On modelling the parallel diffusion flow in deforming porous media, Mathematics and Computers in Simulation,(), Online publication date: 1. porous medium Ωǫ.

Y Yf s Y Figure Unit cell of a porous medium. Before stating the main result, let us describe more precisely the assumptions on the porous domain Ωǫ. As usual in periodic homogenization, a periodic structure is defined by a domain Ω and an associated microstructure, or periodic cell Y = (0,1)N, which isFile Size: KB.

Homogenization and Porous Media by U. Hornung (Editor) starting at $ Homogenization and Porous Media has 2 available editions to buy at Half Price Books Marketplace. This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro- meso- and macro-scales, including detailed studies of Read more.

Homogenization and Porous Media. Editors (view affiliations) Ulrich Hornung; Book. Citations; 1 Mentions; Percolation Models for Porous Media. Kenneth M. Golden. Pages One-Phase Newtonian Flow.

Grégoire Allaire. Pages About this book. Keywords. The book is divided into four parts whose main topics are. Introduction to the homogenization technique for periodic or random media, with emphasis on the physics involved in the mathematical process and the applications to real materials.

Heat and mass transfers in porous media. Homogenization of strongly heterogeneous porous media Thesis of the dissertation submitted to the Czech Academy of Sciences March 9, Eduard Rohan Department of Mechanics, Faculty of Applied Sciences, University of West Bohemia in Pilsen, Univerz Plzen, Czech Republic E-mail: [email protected] Size: 7MB.

This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization.

Homogenization has been widely used in the field of porous media [20]. Typically, it is used to describe saturated fluid flow [22,23], two-phase flow [24], diffusion [25,26] and poroelasticity [27].

In order to formulate the entire range of porous media and their uses, this book gives the basics of continuum mechanics, thermodynamics, seepage and consolidation and diffusion, including multiscale homogenization methods. Chapter 1 Introduction This is an introduction to homogenization based on reactive porous media ows.

The aim is to bridge the gap between the pore scale and the laboratory scale and beyond. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Book on homogenization of PDEs. Ask Question Asked 3 years, 2 months ago.

Homogenization and porous media, Interdisciplinary Applied Mathematics Series, vol. () Homogenization of a pore scale model for precipitation and dissolution in porous media. IMA Journal of Applied Mathematics() Quantifying the Influence of the Crowded Cytoplasm on Small Molecule by: Homogenization of Wall-Slip Gas Flow Through Porous Media Article (PDF Available) in Transport in Porous Media 36(3) September with Reads How we measure 'reads'.

The book Homogenization and Porous Media (Interdisciplinary Applied Mathematics) can give more knowledge and information about everything you want. Exactly why must we leave the great thing like a book Homogenization and Porous Media (Interdisciplinary Applied Mathematics). A few of you have a different opinion about book.

Transport Phenomena in Porous Media Aspects of Micro/Macro Behaviour Yasuaki Ichikawa Okayama University Okayama Japan A.P.S. Selvadurai Homogenization Analysis. 2 Underground Disposal of HLW’s and Bentonite. 5 2 Introduction to Continuum Mechanics.In mathematics and physics, homogenization is a method of studying partial differential equations with rapidly oscillating coefficients, such as ∇ ⋅ ((→) ∇) = where is a very small parameter and (→) is a 1-periodic coefficient: (→ + →) = (→), =.

It turns out that the study of these equations is also of great importance in physics and engineering, since equations of this.Computational Methods for Predicting Material Processing Defects, edited by M. Predeleanu Elsevier Science Publishers B.V., Amsterdam, -- Printed in The Netherlands HOMOGENIZATION OF A PLASTIC POROUS MEDIA.

INFLUENCE OF SECONDARY CAVITIES T. GUENNOUNI and D. FRANCOIS Laboratoire des Matériaux and GRECO Grandes Déformations et Author: T. Guennouni, D. Francois.