Rayleigh Benard Convection Structures And Dynamics
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Rayleigh Benard Convection Structures And Dynamics
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Author : Alexander V Getling
language : en
Publisher: World Scientific
Release Date : 1998-03-06
Rayleigh Benard Convection Structures And Dynamics written by Alexander V Getling and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-06 with Science categories.
This invaluable book presents a concise but systematic account of the formation of spatial flow structures in a horizontal fluid layer heated from below. Flows of this type, known as Rayleigh-Bénard convection, show important features of behaviour inherent not only in various hydrodynamic-instability phenomena but also in nonlinear pattern-forming processes in other contexts. The book describes the basic methods of investigating convection patterns, and the types of two- and three-dimensional flows, pattern defects, and sequences of convection-regime changes.The author pays special attention to the question of how various factors (mainly reducible to initial and boundary conditions) determine the shapes and sizes of the structures which develop. In this way, the role of order and disorder in flow patterns, as a factor strongly affecting the character of the evolution of structures, is revealed. The presentation emphasizes the physical picture of these phenomena, without excessive mathematical detail.
Rayleigh B Nard Convection
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Author : Alexander V. Getling
language : en
Publisher:
Release Date : 1998
Rayleigh B Nard Convection written by Alexander V. Getling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Turbulence Coherent Structures Dynamical Systems And Symmetry
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Author : Philip Holmes
language : en
Publisher: Cambridge University Press
Release Date : 2012-02-23
Turbulence Coherent Structures Dynamical Systems And Symmetry written by Philip Holmes 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 2012-02-23 with Mathematics categories.
Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.
Physics Of Buoyant Flows From Instabilities To Turbulence
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Author : Mahendra Kumar Verma
language : en
Publisher: World Scientific
Release Date : 2018-05-30
Physics Of Buoyant Flows From Instabilities To Turbulence written by Mahendra Kumar Verma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with Science categories.
Gravity pervades the whole universe; hence buoyancy drives fluids everywhere including those in the atmospheres and interiors of planets and stars. Prime examples of such flows are mantle convection, atmospheric flows, solar convection, dynamo process, heat exchangers, airships and hot air balloons. In this book we present fundamentals and applications of thermal convection and stratified flows.Buoyancy brings in extremely rich phenomena including waves and instabilities, patterns, chaos, and turbulence. In this book we present these topics in a systematic manner. First we present a unified treatment of linear theory that yields waves and thermal instability for stably and unstably-stratified flows respectively. We extend this analysis to include rotation and magnetic field. We also describe nonlinear saturation and pattern formation in Rayleigh-Bénard convection.The second half of the book is dedicated to buoyancy-driven turbulence, both in stably-stratified flow and in thermal convection. We describe the spectral theory including energy flux and show that the thermally-driven turbulence is similar to hydrodynamic turbulence. We also describe large-scale quantities like Reynolds and Nusselt numbers, flow anisotropy, and the dynamics of flow structures, namely flow reversals. Thus, this book presents all the major aspects of the buoyancy-driven flows in a coherent manner that would appeal to advanced graduate students and researchers.
Dynamics Of Spatio Temporal Cellular Structures
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Author : Innocent Mutabazi
language : en
Publisher: Springer
Release Date : 2010-06-14
Dynamics Of Spatio Temporal Cellular Structures written by Innocent Mutabazi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-14 with Science categories.
The impact of Benard's discovery on 20th century physics is crucial to any modern research area such as fluid dynamics, nonlinear dynamics, and non-equilibrium thermodynamics, just to name a few. This centenary review shows the broad scope and development including modern applications, edited and written by experts in the field.
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.
Stability Criteria For Fluid Flows
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Author : Adelina Georgescu
language : en
Publisher: World Scientific
Release Date : 2010
Stability Criteria For Fluid Flows written by Adelina Georgescu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
Magnetic Convection
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Author : Hiroyuki Ozoe
language : en
Publisher: World Scientific
Release Date : 2005-07-21
Magnetic Convection written by Hiroyuki Ozoe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-21 with Technology & Engineering categories.
The manufacture of silicon single crystals is one of the most important processes in the information technology industry. This book explains the details of liquid metal convection, providing a guide for the elegant operation and control of Czochralski crystal growth, including the effect of magnetic control. Also covered is the newly emerging research field of the application of strong magnetic field using a superconducting magnet. Model equations for the phenomena in the magnetic field are treated in detail, which will be of much use to researchers and engineers in the field.The coverage includes the effect of the Lorentz force in materials processing and the magnetic force of recently developed superconducting magnets. It examines heat, mass and momentum transfer in electro-conducting and non-conducting fluids under normal and very strong magnetic fields. The book also treats the Czochralski single crystal growth process and continuous steel casting process as the most important current applications of magnetic fields. Numerical approaches are compared with the corresponding experimental measurements./a
Stability And Transition In Shear Flows
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Author : Peter J. Schmid
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stability And Transition In Shear Flows written by Peter J. Schmid 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 Science categories.
The field of hydrodynamic stability has a long history, going back to Rey nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows.
Mantle Convection
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Author : W. R. Peltier
language : en
Publisher: CRC Press
Release Date : 1989
Mantle Convection written by W. R. Peltier and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
A text which details the most important advance in earth sciences since the emergence of plate tectonics in the 1960s. Armed with the new techniques of seismic tomography, nine leading scientists in geophysical research present an experimental and theoretical description of the dynamics of the Earth's mantle. What emerges is a coherent modern theory of mantle convection leading to a greater understanding of both surface motions and large-scale structure of the Earth's interior.