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Author: Antonio Barletta
Publisher: Springer
ISBN: 3030061949
Category : Technology & Engineering
Languages : en
Pages : 289
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Book Description
This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.
Author: Antonio Barletta
Publisher: Springer
ISBN: 3030061949
Category : Technology & Engineering
Languages : en
Pages : 289
Get Book Here
Book Description
This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.
Author: Antonio Barletta
Publisher:
ISBN: 9783030061951
Category : Fluid mechanics
Languages : en
Pages :
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Book Description
This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.
Author:
Publisher: Springer Nature
ISBN: 3031808851
Category :
Languages : en
Pages : 174
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Book Description
Author: Chongbin Zhao
Publisher: Springer
ISBN: 3319084615
Category : Science
Languages : en
Pages : 363
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Book Description
This monograph provides state-of-the-art theoretical and computational findings from investigations on physical and chemical dissolution front instability problems in porous media, based on the author’s own work. Although numerical results are provided to complement theoretical ones, the focus of this monograph is on the theoretical aspects of the topic and those presented in this book are applicable to a wide range of scientific and engineering problems involving the instability of nonlinear dynamic systems. To appeal to a wider readership, common mathematical notations are used to derive the theoretical solutions. The book can be used either as a useful textbook for postgraduate students or as a valuable reference book for computational scientists, mathematicians, engineers and geoscientists.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 814
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Book Description
Author: Einat Aharonov
Publisher:
ISBN:
Category : Diagenesis
Languages : en
Pages : 154
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Book Description
This thesis studies how rocks evolve due to the coupled effects of flow and chemical reaction. The study was motivated by various experimental observations, both in igneous and sedimentary rocks. In the first part of this thesis, growth of microscopic, pore-scale, features in sedimentary rocks is theoretically investigated. It is found, in agreement with experiments, that statistical properties of pore-grain interfaces mirror growth conditions. The shapes of pore-grain intrefaces both influence and are influenced by large-scale transport properties of the rock. The second part of this thesis employs analytical methods to study flow patterns in melt upwelling beneath mid-ocean ridges. It is shown that high permeability channels spontaneously form, allowing for efficient extraction of melt from the system. This result may aid in understanding existing geochemical and geological observations. In the third part of this thesis, I present a new 3D computer model that simulates flow and reaction through a porous matrix. The model is used to study and compare the different characteristics of dissolution and deposition, and to simulate different settings for melt upwelling in the mantle.
Author: Jacob Bear
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 398
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Book Description
Author: Clifford K. Ho
Publisher: Springer
ISBN: 9789048170029
Category : Science
Languages : en
Pages : 0
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Book Description
CLIFFORD K. HOAND STEPHEN W. WEBB Sandia National Laboratories, P. O. Box 5800, Albuquerque, NM 87185, USA Gas and vapor transport in porous media occur in a number of important applications includingdryingofindustrialandfoodproducts,oilandgasexploration,environm- tal remediation of contaminated sites, and carbon sequestration. Understanding the fundamental mechanisms and processes of gas and vapor transport in porous media allows models to be used to evaluate and optimize the performance and design of these systems. In this book, gas and vapor are distinguished by their available states at stan- ? dard temperature and pressure (20 C, 101 kPa). If the gas-phase constituent can also exist as a liquid phase at standard temperature and pressure (e. g. , water, ethanol, toluene, trichlorothylene), it is considered a vapor. If the gas-phase constituent is non-condensable at standard temperature and pressure (e. g. , oxygen, carbon di- ide, helium, hydrogen, propane), it is considered a gas. The distinction is important because different processes affect the transport and behavior of gases and vapors in porous media. For example, mechanisms specific to vapors include vapor-pressure lowering and enhanced vapor diffusion, which are caused by the presence of a g- phase constituent interacting with its liquid phase in an unsaturated porous media. In addition, the “heat-pipe” exploits isothermal latent heat exchange during evaporation and condensation to effectively transfer heat in designed and natural systems.
Author: Aniruddha Bagchi
Publisher: Springer Science & Business Media
ISBN: 1461465761
Category : Technology & Engineering
Languages : en
Pages : 87
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Book Description
Natural Convection in Composite Fluid-Porous Domains provides a timely overview of the current state of understanding on the phenomenon of convection in composite fluid-porous layers. Natural convection in horizontal fluid-porous layers has received renewed attention because of engineering problems such as post-accident cooling of nuclear reactors, contaminant transport in groundwater, and convection in fibrous insulation systems. Because applications of the problem span many scientific domains, the book serves as a valuable resource for a wide audience.
Author: Kambiz Vafai
Publisher: CRC Press
ISBN: 0415876389
Category : Science
Languages : en
Pages : 771
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Book Description
Over the last three decades, advances in modeling flow, heat, and mass transfer through a porous medium have dramatically transformed engineering applications. Comprehensive and cohesive, Handbook of Porous Media, Second Edition presents a compilation of research related to heat and mass transfer including the development of practical applications
