Dispersive Transport Equations And Multiscale Models
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Dispersive Transport Equations And Multiscale Models
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Author : Ben Abdallah Naoufel
language : en
Publisher:
Release Date : 2011-05-12
Dispersive Transport Equations And Multiscale Models written by Ben Abdallah Naoufel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-12 with categories.
Dispersive Transport Equations And Multiscale Models
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Author : Ben Abdallah Naoufel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dispersive Transport Equations And Multiscale Models written by Ben Abdallah Naoufel 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 2012-12-06 with Mathematics categories.
IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components. This includes processes that involve a wdie range of length scales over different spatio-temporal regions of the problem, ranging from the order of mean-free paths to many times this scale. Consequently, effective modeling techniques require different transport models in each region. The first issue is that of finding efficient simulations techniques, since a fully resolved kinetic simulation is often impractical. One therefore develops homogenization, stochastic, or moment based subgrid models. Another issue is to quantify the discrepancy between macroscopic models and the underlying kinetic description, especially when dispersive effects become macroscopic, for example due to quantum effects in semiconductors and superfluids. These two volumes address these questions in relation to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.
Computational Modelling Of Multi Scale Solute Dispersion In Porous Media
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Author : Don Kulasiri
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-11-04
Computational Modelling Of Multi Scale Solute Dispersion In Porous Media written by Don Kulasiri and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-04 with Computers categories.
This research monograph presents a mathematical approach based on stochastic calculus which tackles the "cutting edge" in porous media science and engineering - prediction of dispersivity from covariance of hydraulic conductivity (velocity). The problem is of extreme importance for tracer analysis, for enhanced recovery by injection of miscible gases, etc. This book explains a generalised mathematical model and effective numerical methods that may highly impact the stochastic porous media hydrodynamics. The book starts with a general overview of the problem of scale dependence of the dispersion coefficient in porous media. Then a review of pertinent topics of stochastic calculus that would be useful in the modeling in the subsequent chapters is succinctly presented. The development of a generalised stochastic solute transport model for any given velocity covariance without resorting to Fickian assumptions from laboratory scale to field scale is discussed in detail. The mathematical approaches presented here may be useful for many other problems related to chemical dispersion in porous media.
Transport Equations For Semiconductors
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Author : Ansgar Jüngel
language : en
Publisher: Springer
Release Date : 2009-04-20
Transport Equations For Semiconductors written by Ansgar Jüngel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Science categories.
Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.
Modeling Analysis And Simulations Of Multiscale Transport Phenomena
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Author : Somnath Bhattacharyya
language : en
Publisher: Springer Nature
Release Date : 2025-06-20
Modeling Analysis And Simulations Of Multiscale Transport Phenomena written by Somnath Bhattacharyya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-20 with Mathematics categories.
This volume contains selected chapters on topics presented at the International Conference on Modeling, Analysis and Simulations of Multiscale Transport Phenomena (ICMASMTP 2022), held at the Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal, India, from 22–25 August 2022. It contains chapters on applications of FLOW THROUGH POROUS MEDIA, diffusion–reaction equations, fluid dynamics, multi-scale analysis, electrokinetic transport processes, microfluidics modelling, numerical analysis, and related topics. Contributors are academicians, experts and researchers in various disciplines of applied mathematics, numerical analysis and scientific computation, having applications in physics, engineering, chemistry, biology and medical science.
Transport In Transition Regimes
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Author : Ben Abdallah Naoufel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Transport In Transition Regimes written by Ben Abdallah Naoufel 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 2012-12-06 with Mathematics categories.
IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components. This includes processes that involve a wide range of length scales over different spatio-temporal regions of the problem, ranging from the order of mean-free paths to many times this scale. Consequently, effective modeling techniques require different transport models in each region. The first issue is that of finding efficient simulations techniques, since a fully resolved kinetic simulation is often impractical. One therefore develops homogenization, stochastic, or moment based subgrid models. Another issue is to quantify the discrepancy between macroscopic models and the underlying kinetic description, especially when dispersive effects become macroscopic, for example due to quantum effects in semiconductors and superfluids. These two volumes address these questions in relation to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.
Advances In Chemical Engineering
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Author : Guy B. Marin
language : en
Publisher: Elsevier
Release Date : 2005-10-24
Advances In Chemical Engineering written by Guy B. Marin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-24 with Technology & Engineering categories.
The theme of the present volume "Multiscale Analysis" has been introduced about a decade ago and is now reaching a stage where a first balance can be made and further research directions should be decided. Contributions have been carefully selected to ensure the reader will not be confronted with quantum mechanics at one side of the spectrum nor with chemical plants or even the environment on the other side. Maintaining a strong connection with reality i.e. experimental data was another selection criterion. Experimental validation remains the corner stone of any theoretical development and very powerful experimentel techniques are emerging.Areas covered include discussing in depth an important example of experimental techniques. Coming from the medical world, Magnetic Resonance techniques can now provide even quantitative answers to problems our community is faced with. The modeling issue is discussed further. Finally, the limitations of the classic reactor engineering models are outlined.* Original reviews* Leading chemical engineers as authors* Update on biomaterials use* Novel subject on use of biomaterials in drug delivery and gene therapy* Mathematical modeling
Towards Higher Categories
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Author : John C. Baez
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-24
Towards Higher Categories written by John C. Baez 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 2009-09-24 with Algebra categories.
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.
Mixed Integer Nonlinear Programming
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Author : Jon Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-02
Mixed Integer Nonlinear Programming written by Jon Lee 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 2011-12-02 with Mathematics categories.
Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.
Advances In Chemical Engineering
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Author :
language : en
Publisher: Academic Press
Release Date : 2008-09-22
Advances In Chemical Engineering written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-22 with Technology & Engineering categories.
The cross-fertilization of physico-chemical and mathematical ideas has a long historical tradition. This volume of Advances in Chemical Engineering is almost completely dedicated to a conference on "Mathematics in Chemical Kinetics and Engineering (MaCKiE-2007), which was held in Houston in February 2007, bringing together about 40 mathematicians, chemists, and chemical engineers from 10 countries to discuss the application and development of mathematical tools in their respective fields. - Updates and informs the reader on the latest research findings using original reviews - Written by leading industry experts and scholars - Reviews and analyzes developments in the field