Routes To Absolute Instability In Porous Media
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Routes To Absolute Instability In Porous Media
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Author : Antonio Barletta
language : en
Publisher: Springer
Release Date : 2019-01-02
Routes To Absolute Instability In Porous Media written by Antonio Barletta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-02 with Technology & Engineering categories.
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.
Routes To Absolute Instability In Porous Media
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Author : Antonio Barletta
language : en
Publisher:
Release Date : 2019
Routes To Absolute Instability In Porous Media written by Antonio Barletta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Fluid mechanics categories.
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.
Thermal Convection With A Cattaneo Flux Law
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Author : Brian Straughan
language : en
Publisher: Springer Nature
Release Date : 2024-12-16
Thermal Convection With A Cattaneo Flux Law written by Brian Straughan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-16 with Science categories.
This monograph provides an account of thermal convection with a focus on Cattaneo’s heat flux equation. Various applications of the equation are analyzed, such as those pertaining to nanoscale mechanics, nuclear engineering, the treatment of various diseases, and more. The influence it has had on problems in the field of thermal convection is highlighted as well. Several other important topics are incorporated, including: Guyer-Krumhansl terms Kelvin-Voigt fluid theory Navier-Stokes theory Higher gradient fluid theories Thermal Convection with a Cattaneo Flux Law will appeal to researchers interested in exploring this active area.
Physical And Chemical Dissolution Front Instability In Porous Media
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Author : Chongbin Zhao
language : en
Publisher: Springer
Release Date : 2014-07-18
Physical And Chemical Dissolution Front Instability In Porous Media written by Chongbin Zhao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Science categories.
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.
The Energy Method Stability And Nonlinear Convection
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Author : brian straughan
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-01
The Energy Method Stability And Nonlinear Convection written by brian straughan 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 2003-10-01 with Mathematics categories.
Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
Analysis And Simulation Of Contact Problems
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Author : Peter Wriggers
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-15
Analysis And Simulation Of Contact Problems written by Peter Wriggers 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 2006-08-15 with Science categories.
Contact mechanics was and is an important branch in mechanics which covers a broad field of theoretical, numerical and experimental investigations. In this carefully edited book the reader will obtain a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented during the 4th Contact Mechanics Interantional symposium (CMIS) held in Hannover, Germany, 2005, by leading scientists in the area of contact mechanics.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1973
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mechanics, Applied categories.
Convective Heat Transfer In Porous Media
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Author : Yasser Mahmoudi
language : en
Publisher: CRC Press
Release Date : 2019-11-06
Convective Heat Transfer In Porous Media written by Yasser Mahmoudi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-06 with Science categories.
Focusing on heat transfer in porous media, this book covers recent advances in nano and macro’ scales. Apart from introducing heat flux bifurcation and splitting within porous media, it highlights two-phase flow, nanofluids, wicking, and convection in bi-disperse porous media. New methods in modeling heat and transport in porous media, such as pore-scale analysis and Lattice–Boltzmann methods, are introduced. The book covers related engineering applications, such as enhanced geothermal systems, porous burners, solar systems, transpiration cooling in aerospace, heat transfer enhancement and electronic cooling, drying and soil evaporation, foam heat exchangers, and polymer-electrolyte fuel cells.
Falling Liquid Films
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Author : S. Kalliadasis
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-24
Falling Liquid Films written by S. Kalliadasis 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 2011-09-24 with Mathematics categories.
Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal to advanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mechanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on both applied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes involving isothermal or heated films. This monograph is largely self-contained and no background on interfacial fluid mechanics is assumed.
Multiphase Flow In Permeable Media
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Author : Martin J. Blunt
language : en
Publisher: Cambridge University Press
Release Date : 2017-02-16
Multiphase Flow In Permeable Media written by Martin J. Blunt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-16 with Science categories.
This book provides a fundamental description of multiphase fluid flow through porous rock, based on understanding movement at the pore, or microscopic, scale.