Condensed Matter Physics, Second Edition

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Analytical solutions for some chemical transport processes in porous media

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Table of Contents Frontmatter Chapter 1. Introduction Abstract.

Workshop: Upscaling Flow and Transport Processes in Porous Media

The significance of porous materials and great variety of their applications are briefly introduced here. Book contents are detailed. Macroscopic properties, such as capillary pressure and permeability, are important variables for mathematical modeling of transport processes in porous media.

Table of Contents

However, most transport properties exhibit great variability which cannot be modeled using deterministic approaches. This chapter presents a brief description of some fundaments of porous structures, namely, cell models, digital reconstruction of porous structures using Lattice Boltzmann Method , porous media generation, and the stochastic modeling of pore space and transport properties.

The fundamentals of single phase flow within porous media are presented in this chapter.

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Analytical solutions for the flow field in granular media are obtained using cell models of various geometries. Macroscopic approaches Darcy law and its extensions as well as numerically obtained flow fields in stochastically constructed granular structures are also discussed. The phenomenon of diffusion and dispersion axial and radial in packed beds is summarized and reviewed for literature data.

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Several variables should be considered, such as the length of the packed column, viscosity and density of the fluid, ratio of column diameter to particle diameter, ratio of column length to particle diameter, particle size distribution, particle shape, effect of fluid velocity, and temperature effect or Schmidt number. Empirical correlations are presented for the prediction of dispersion coefficients axial and radial over the entire range of practical values of Schmidt number and Peclet numbers.

Engineering aspects of radial and axial dispersion on non-Newtonian fluids in packed beds are also considered. The modeling aspect for flow and mass in porous media is presented here. The cell model approach is used to obtain analytical and numerical solutions for mass transport in granular media with adsorbing grains.

Lesson 8: Flow and Transport Processes in 2D Heterogeneous Porous Media

Several geometries spherical, cylindrical, spheroidal and a variety of adsorption mechanisms are examined and compared with experimentally derived data. The same problems are also solved in more realistic stochastically constructed structures of spherical grains.

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Finally, the spatial averaging technique is used to estimate useful macroscopic quantities, such as mass transfer coefficient. The book also discusses with mass transport processes in the porous media which are further strengthen by experimental validation and specific technological applications. This book makes use of state-of-the-art techniques for the modeling of transport processes in porous structures, and considers of realistic sorption mechanisms. It the applies advanced mathematical techniques for upscaling of the major quantities, and presents the experimental investigation and application, namely, experimental methods for the measurement of relevant transport properties.

The main benefit of the book is that it discusses all the topics related to transport in porous media including state-of-the-art applications and presents some of the most important theoretical, numerical and experimental developments in porous media domain, providing a self-contained major reference that is appealing to both the scientists and the engineers.

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At the same time, these topics encounter a variety of scientific and engineering disciplines, such as chemical, civil, agricultural, mechanical engineering. The book is divided in several chapters that intend to be a resume of the current state of knowledge for benefit of related professionals and scientists.