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| Author | : Muhammad Sahimi |
| Publisher | : |
| Total Pages | : 186 |
| Release | : 1998 |
| Genre | : Percolation |
| ISBN | : |
| Author | : Andrei A. Snarskii |
| Publisher | : Springer |
| Total Pages | : 277 |
| Release | : 2016-09-02 |
| Genre | : Science |
| ISBN | : 1441982914 |
This book reflects on recent advances in the understanding of percolation systems to present a wide range of transport phenomena in inhomogeneous disordered systems. Further developments in the theory of macroscopically inhomogeneous media are also addressed. These developments include galvano-electric, thermoelectric, elastic properties, 1/f noise and higher current momenta, Anderson localization, and harmonic generation in composites in the vicinity of the percolation threshold. The book describes how one can find effective characteristics, such as conductivity, dielectric permittivity, magnetic permeability, with knowledge of the distribution of different components constituting an inhomogeneous medium. Considered are a wide range of recent studies dedicated to the elucidation of physical properties of macroscopically disordered systems. Aimed at researchers and advanced students, it contains a straightforward set of useful tools which will allow the reader to derive the basic physical properties of complicated systems together with their corresponding qualitative characteristics and functional dependencies.
| Author | : Valeriy A. Buryachenko |
| Publisher | : Springer Nature |
| Total Pages | : 1012 |
| Release | : 2021-11-16 |
| Genre | : Technology & Engineering |
| ISBN | : 3030817849 |
This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.
| Author | : Muhammad Sahimi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 794 |
| Release | : 2006-05-26 |
| Genre | : Mathematics |
| ISBN | : 0387217053 |
This monograph describes and discusses the properties of heterogeneous materials, including conductivity, elastic moduli, and dielectrical constant. The book outlines typical experimental methods, and compares the experimental data and the theoretical predictions. This multidisciplinary book will appeal to applied physicists, materials scientists, chemical and mechanical engineers, chemists, and applied mathematicians.
| Author | : Muhammad Sahimi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 650 |
| Release | : 2006-05-31 |
| Genre | : Mathematics |
| ISBN | : 0387217045 |
This monograph describes and discusses the properties of heterogeneous materials, comparing two fundamental approaches to describing and predicting materials’ properties. This multidisciplinary book will appeal to applied physicists, materials scientists, chemical and mechanical engineers, chemists, and applied mathematicians.
| Author | : Valeriy Buryachenko |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 704 |
| Release | : 2007-09-20 |
| Genre | : Science |
| ISBN | : 0387684859 |
Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. The book features rigorous and unified theoretical methods of applied mathematics and statistical physics in the material science of microheterogeneous media. Uniquely, it offers a useful demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.
| Author | : Kambiz Vafai |
| Publisher | : CRC Press |
| Total Pages | : 927 |
| Release | : 2000-07-12 |
| Genre | : Science |
| ISBN | : 0824741501 |
"Presents the most important and up-to-date research related to heat transfer in porous media, focusing on practical applications of the latest studies to engineering products and procedures. Includes theoretical models of fluid flow, capillary effects, application of fractal and percolation characterizing porous materials, multiphase flow and heat transfer, turbulent flow and heat transfer, improved measurement and flow visualization techniques, and enhanced design correlations."
| Author | : Muhammad Sahimi |
| Publisher | : Springer Nature |
| Total Pages | : 690 |
| Release | : 2023-03-18 |
| Genre | : Science |
| ISBN | : 3031203860 |
The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only have all of the chapters of the 1st edition been completely rewritten, reorganized, and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, directed percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks.
| Author | : Ninghu Su |
| Publisher | : CRC Press |
| Total Pages | : 410 |
| Release | : 2020-11-02 |
| Genre | : Science |
| ISBN | : 1351032402 |
This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for those interested in hydrology, hydraulics and fluid mechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.
| Author | : Murat Uzunca |
| Publisher | : Birkhäuser |
| Total Pages | : 111 |
| Release | : 2016-05-17 |
| Genre | : Mathematics |
| ISBN | : 3319301306 |
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence.As coupled surface and subsurface flow over large space and time scales is described by (ADR) equation the methods described in this book are of high importance in many areas of Geosciences including oil and gas recovery, groundwater contamination and sustainable use of groundwater resources, storing greenhouse gases or radioactive waste in the subsurface.
