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Thermal Non Equilibrium in Heterogeneous Media

Thermal Non Equilibrium in Heterogeneous Media Book
Author : Marcelo J.S. de Lemos
Publisher : Springer
Release : 2015-10-16
ISBN : 3319146661
Language : En, Es, Fr & De

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Book Description :

This book presents, in a self-contained fashion, a series of studies on flow and heat transfer in porous media, in which distinct energy balances are considered for the porous matrix and for the permeating fluid. Detailed mathematical modeling is presented considering both volume and time averaging operators simultaneously applied to the governing equations. System involving combustion in the gaseous phase, moving bed and double-diffusion mechanism are analyzed. Numerical results are presented for each case. In the end, this book contains the description of a tool that might benefit engineers in developing and designing more efficient thermal equipment.

Heterogeneous Media

Heterogeneous Media Book
Author : Konstantin Markov,Luigi Preziosi
Publisher : Birkhäuser
Release : 2012-10-23
ISBN : 9781461270980
Language : En, Es, Fr & De

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Book Description :

Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and experimentation for the micromechanics and behavior of these materials. "Heterogeneous Media" is a critical, in-depth edited survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. The goal of this extensive and comprehensive survey is to provide both specialists and nonspecialists with an authoritative and interdisciplinary perspective of current ideas and methods used for modeling heterogeneous materials behavior and their applications. Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and

Heterogeneous Media

Heterogeneous Media Book
Author : Konstantin Markov,Luigi Preziosi
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461213320
Language : En, Es, Fr & De

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Book Description :

Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and experimentation for the micromechanics and behavior of these materials. "Heterogeneous Media" is a critical, in-depth edited survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. The goal of this extensive and comprehensive survey is to provide both specialists and nonspecialists with an authoritative and interdisciplinary perspective of current ideas and methods used for modeling heterogeneous materials behavior and their applications. Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and

Diffusion and Reaction in Heterogeneous Media

Diffusion and Reaction in Heterogeneous Media Book
Author : Jesus Alberto Ochoa
Publisher : Unknown
Release : 1988
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Diffusion and Reaction in Heterogeneous Media book written by Jesus Alberto Ochoa, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Shock waves in condensed matter and heterogeneous media

Shock waves in condensed matter and heterogeneous media Book
Author : Raymond Brun,Lucien Z. Dumitrescu
Publisher : Springer Verlag
Release : 1995
ISBN : 9783540577126
Language : En, Es, Fr & De

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Book Description :

Recently, there have been significant advances in the fields of high-enthalpy hypersonic flows, high-temperature gas physics, and chemistry shock propagation in various media, industrial and medical applications of shock waves, and shock-tube technology. This series contains all the papers and lectures of the 19th International Symposium on Shock Waves held in Marseille in 1993. They are published in four topical volumes, each containing papers on related topics, and preceded by an overview wrtitten by a leading international expert. The volumes may be purchased independently.

DIFFUSION LENGTHS IN HETEROGENEOUS MEDIA

DIFFUSION LENGTHS IN HETEROGENEOUS MEDIA Book
Author : JOEL H. FERSIGER
Publisher : Unknown
Release : 1960
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download DIFFUSION LENGTHS IN HETEROGENEOUS MEDIA book written by JOEL H. FERSIGER , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Asymptotic Wave Methods in Heterogeneous Media

Asymptotic Wave Methods in Heterogeneous Media Book
Author : Wafik B. Beydoun
Publisher : Unknown
Release : 1985
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Asymptotic Wave Methods in Heterogeneous Media book written by Wafik B. Beydoun, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A Continuum Theory of Heterogeneous Media

A Continuum Theory of Heterogeneous Media Book
Author : Jin Moo Park
Publisher : Unknown
Release : 1983
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Continuum Theory of Heterogeneous Media book written by Jin Moo Park, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Heterogeneous Media

Heterogeneous Media Book
Author : Sergey Kanaun
Publisher : Elsevier
Release : 2020-09-25
ISBN : 0128198818
Language : En, Es, Fr & De

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Book Description :

Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices that feature the texts of basic programs for solving volume integral equations as written in Mathematica. Outlines cutting-edge computational methods for solving volume integral equation problems in heterogeneous media Provides applied examples of approximation and other methods being employed Demonstrates calculation of composite material properties and the constitutive laws for averaged fields within them Covers static and dynamic 2D and 3D mechanical-mathematical models for heterogeneous media

Study of Transport Coefficients in Heterogeneous Media by Monte Carlo Simulation

Study of Transport Coefficients in Heterogeneous Media by Monte Carlo Simulation Book
Author : Kayode Ashimi Akanni
Publisher : Unknown
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Study of Transport Coefficients in Heterogeneous Media by Monte Carlo Simulation book written by Kayode Ashimi Akanni, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Modeling flow and transport in heterogeneous media

Modeling flow and transport in heterogeneous media Book
Author : Ramoj K. Paruchuri
Publisher : Unknown
Release : 2003
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Modeling flow and transport in heterogeneous media book written by Ramoj K. Paruchuri, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Flow Through Heterogeneous Geological Media

Flow Through Heterogeneous Geological Media Book
Author : Tian-Chyi Yeh,Raziuddin Khaleel,Kenneth C. Carroll
Publisher : Cambridge University Press
Release : 2015-07-07
ISBN : 1107076137
Language : En, Es, Fr & De

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Book Description :

Integrates principles of flow through porous media with stochastic analyses, for advanced-level students, researchers and professionals in hydrogeology and hydraulics.

Anomaly Detection in Random Heterogeneous Media

Anomaly Detection in Random Heterogeneous Media Book
Author : Martin Simon
Publisher : Springer Spektrum
Release : 2015-07-30
ISBN : 9783658109929
Language : En, Es, Fr & De

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Book Description :

This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field whose realizations are rapidly oscillating. For this purpose, he derives Feynman-Kac formulae to rigorously justify stochastic homogenization in the case of the underlying stochastic boundary value problem. The author combines techniques from the theory of partial differential equations and functional analysis with probabilistic ideas, paving the way to new mathematical theorems which may be fruitfully used in the treatment of the problem at hand. Moreover, the author proposes an efficient numerical method in the framework of Bayesian inversion for the practical solution of the stochastic inverse anomaly detection problem.

Anomalous Dynamics of Darcy Flow and Diffusion Through Heterogeneous Media

Anomalous Dynamics of Darcy Flow and Diffusion Through Heterogeneous Media Book
Author : Anna Russian
Publisher : Unknown
Release : 2013
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This thesis studies diffusion phenomena in heterogeneous media, which includes Darcy flow and diffusive solute transport in geological media. Natural media are heterogeneous at different scales, which induces complexity in diffusion phenomena. The work is centered on the integration of the effects of heterogeneity on Darcy flow and solute diffusion into large scale models. The quantification of the effects of heterogeneity in diffusion phenomena is highly important for a large number of problems such as diffusion and reaction of chemicals and radionuclides in low permeability media, which is essential in subsurface hazardous waste storage problems, CO2 sequestration performance and groundwater management. In a stochastic framework we quantify the effects of heterogeneity in large scale models considering two interrelated strategies that can be called Ôcoefficient approachÕ, which deals with the derivation of effective coefficients to insert in equivalent homogeneous models, and Ôdynamic approachÕ, which deals with the upscaling of the local scale equations and the derivation of large scale formulations which can differ from their local counterparts. Whenever a diffusion process cannot be described in terms of effective coefficient, that behaviour is named anomalous or non-Fickian. Anomalous diffusion behaviours observed experimentally are frequently modelled by effective theories such as fractional diffusion equations, continuous time random walks. One limitation of these models is that often they are rather phenomenological and the relation to the local scale heterogeneity and dynamics may not be clear. In the dynamic approach we derive large scale descriptions that can explain anomalous behaviour and link it with a description of the local scale medium heterogeneity. To this end, we upscale the local scale governing equations using different methods depending on the type of medium heterogeneity. For moderately heterogeneous media we upscale flow equation by stochastic averaging. Starting from the classical flow equation at local scale determined by Darcy's law, we derive an upscaled non-local effective formulation. The non-local effective formulation is compared with its local counterpart by considering the head response for a pulse injection. Numerically, we solve flow and diffusion in heterogeneous media using particle tracking methods. While classical random walk particle tracking is an efficient numerical tool to solve for diffusion problems in moderately heterogeneous media, strong medium contrasts, as encountered in fractured media, render this method inefficient. For highly heterogeneous media efficiency of classical random walk can be increased by the use of the time domain random walk (TDRW) method. We rigorously derive the equivalence of the TDRW algorithm and the diffusion equation and we extend the classical TDRW method to solve diffusion problem in a heterogeneous medium with multi-rate mass transfer properties. Moreover we use the TDRW method in connection with a stochastic model for the heterogeneity in order to upscale heterogeneous diffusion processes. For a certain class of heterogeneity, the upscaled dynamics obey a CTRW. Analytically we upscale diffusion in highly heterogeneous media by using a multicontinuum representation of the media. Using volume and ensemble averaging we derive a multicontinuum model that can explain anomalous diffusion behavior and link it with a suitable local scale description of the medium heterogeneity. Finally, we integrate the multicontinuum model derived in the context of aquifer modelling. We derive a multicontinuum catchment model that can explain anomalous behavior observed in the aquifer dynamics at basin scale. We identify the physical mechanisms that induce anomalous behaviour and we determine the time scales that control its temporal evolution.

Solute Non equilibrium Transport in Heterogeneous Porous Media

Solute Non equilibrium Transport in Heterogeneous Porous Media Book
Author : Wenlin Chen
Publisher : Unknown
Release : 1994
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Solute Non equilibrium Transport in Heterogeneous Porous Media book written by Wenlin Chen, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Shock Waves Marseille III

Shock Waves   Marseille III Book
Author : Raymond Brun,Lucien Z. Dumitrescu
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3642788351
Language : En, Es, Fr & De

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Book Description :

Recently, there have been significant advances in the fields of high-enthalpy hypersonic flows, high-temperature gas physics, and chemistry shock propagation in various media, industrial and medical applications of shock waves, and shock-tube technology. This series contains all the papers and lectures of the 19th International Symposium on Shock Waves held in Marseille in 1993. They are published in four topical volumes, each containing papers on related topics, and preceded by an overview wrtitten by a leading international expert. The volumes may be purchased independently.

Computational High Frequency Waves in Heterogeneous Media

Computational High Frequency Waves in Heterogeneous Media Book
Author : Xiaomei Liao
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Computational High Frequency Waves in Heterogeneous Media book written by Xiaomei Liao, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Homogenization of Coupled Phenomena in Heterogenous Media

Homogenization of Coupled Phenomena in Heterogenous Media Book
Author : Jean-Louis Auriault,Claude Boutin,Christian Geindreau
Publisher : John Wiley & Sons
Release : 2010-01-05
ISBN : 0470610441
Language : En, Es, Fr & De

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Book Description :

Both naturally-occurring and man-made materials are often heterogeneous materials formed of various constituents with different properties and behaviours. Studies are usually carried out on volumes of materials that contain a large number of heterogeneities. Describing these media by using appropriate mathematical models to describe each constituent turns out to be an intractable problem. Instead they are generally investigated by using an equivalent macroscopic description - relative to the microscopic heterogeneity scale - which describes the overall behaviour of the media. Fundamental questions then arise: Is such an equivalent macroscopic description possible? What is the domain of validity of this macroscopic description? The homogenization technique provides complete and rigorous answers to these questions. This book aims to summarize the homogenization technique and its contribution to engineering sciences. Researchers, graduate students and engineers will find here a unified and concise presentation. 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 Newtonian fluid flow in rigid porous media under different regimes Quasi-statics and dynamics of saturated deformable porous media Each part is illustrated by numerical or analytical applications as well as comparison with the self-consistent approach.