Rayleigh-B‚nard Convection

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Publisher : World Scientific
ISBN 13 : 9789810226572
Total Pages : 264 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Rayleigh-B‚nard Convection by : Alexander V. Getling

Download or read book Rayleigh-B‚nard Convection written by Alexander V. Getling and published by World Scientific. This book was released on 1998 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-B‚nard 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.

Statistics and Scaling in Turbulent Rayleigh-Bénard Convection

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9814560235
Total Pages : 71 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Statistics and Scaling in Turbulent Rayleigh-Bénard Convection by : Emily S.C. Ching

Download or read book Statistics and Scaling in Turbulent Rayleigh-Bénard Convection written by Emily S.C. Ching and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Brief addresses two issues of interest of turbulent Rayleigh-Bénard convection. The first issue is the characterization and understanding of the statistics of the velocity and temperature fluctuations in the system. The second issue is the revelation and understanding of the nature of the scaling behavior of the velocity temperature structure functions. The problem under the Oberbeck-Boussinesq approximation is formulated. The statistical tools, including probability density functions (PDF) and conditional statistics, for studying fluctuations are introduced, and implicit PDF formulae for fluctuations obeying certain statistical symmetries are derived. Applications of these PDF formulae to study the fluctuations in turbulent Rayleigh-Bénard convection are then discussed. The phenomenology of the different types of scaling behavior: the Bolgiano-Obhukov scaling behavior when buoyancy effects are significant and the Kolmogorov-Obukhov-Corrsin scaling behavior when they are not, is introduced. A crossover between the two types of scaling behavior is expected to occur at the Bolgiano length scale above which buoyancy is important. The experimental observations are reviewed. In the central region of the convective cell, the Kolmogorov-Obukhov-Corrsin scaling behavior has been observed. On the other hand, the Bolgiano-Obukhov scaling remains elusive only until recently. By studying the dependence of the conditional temperature structure functions on the locally averaged thermal dissipation rate, evidence for the Bolgiano-Obukhov scaling has recently been found near the bottom plate. The different behaviors observed in the two regions could be attributed to the different size of the Bolgiano scale. What physics determines the relative size of the Bolgiano scale remains to be understood. The Brief is concluded by a discussion of these outstanding issues.

Internally Heated Convection and Rayleigh-Bénard Convection

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Author :
Publisher : Springer
ISBN 13 : 3319239414
Total Pages : 73 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Internally Heated Convection and Rayleigh-Bénard Convection by : David Goluskin

Download or read book Internally Heated Convection and Rayleigh-Bénard Convection written by David Goluskin and published by Springer. This book was released on 2015-11-21 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Brief describes six basic models of buoyancy-driven convection in a fluid layer: three configurations of internally heated convection and three configurations of Rayleigh-Bénard convection. The author discusses the main quantities that characterize heat transport in each model, along with the constraints on these quantities. This presentation is the first to place the various models in a unified framework, and similarities and differences between the cases are highlighted. Necessary and sufficient conditions for convective motion are given. For the internally heated cases only, parameter-dependent lower bounds on the mean fluid temperature are proven, and results of past simulations and laboratory experiments are summarized and reanalyzed. The author poses several open questions for future study.

Spectral Methods in MATLAB

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Publisher : SIAM
ISBN 13 : 0898714656
Total Pages : 179 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Spectral Methods in MATLAB by : Lloyd N. Trefethen

Download or read book Spectral Methods in MATLAB written by Lloyd N. Trefethen and published by SIAM. This book was released on 2000-07-01 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Physics Of Buoyant Flows: From Instabilities To Turbulence

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Publisher : World Scientific
ISBN 13 : 9813237813
Total Pages : 352 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Physics Of Buoyant Flows: From Instabilities To Turbulence by : Mahendra Kumar Verma

Download or read book Physics Of Buoyant Flows: From Instabilities To Turbulence written by Mahendra Kumar Verma and published by World Scientific. This book was released on 2018-05-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Clean Numerical Simulation

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Publisher : CRC Press
ISBN 13 : 100096356X
Total Pages : 161 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Clean Numerical Simulation by : Shijun Liao

Download or read book Clean Numerical Simulation written by Shijun Liao and published by CRC Press. This book was released on 2023-10-25 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author has been named among the top 2% of all scientists throughout the world in 2020. This book offers an entirely new approach to chaos and nonlinear dynamics. The book ties into the author's widely published and cited research.

Severe Convective Storms and Tornadoes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642053815
Total Pages : 482 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Severe Convective Storms and Tornadoes by : Howard B. Bluestein

Download or read book Severe Convective Storms and Tornadoes written by Howard B. Bluestein and published by Springer Science & Business Media. This book was released on 2013-06-03 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a focused, comprehensive reference on recent research on severe convective storms and tornadoes. It will contain many illustrations of severe storm phenomena from mobile Doppler radars, operational Doppler radars, photographs and numerical simulations.

Treatise on Geophysics, Volume 7

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Publisher : Elsevier
ISBN 13 : 0444535802
Total Pages : 521 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Treatise on Geophysics, Volume 7 by : David Bercovici

Download or read book Treatise on Geophysics, Volume 7 written by David Bercovici and published by Elsevier. This book was released on 2010-05-17 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treatise on Geophysics: Mantle Dynamics, Volume 7 aims to provide both a classical and state-of-the-art introduction to the methods and science of mantle dynamics, as well as survey leading order problems (both solved and unsolved) and current understanding of how the mantle works. It is organized around two themes: (1) how is mantle convection studied; and (2) what do we understand about mantle dynamics to date. The first four chapters are thus concerned with pedagogical reviews of the physics of mantle convection; laboratory studies of the fluid dynamics of convection relevant to the mantle; theoretical analysis of mantle dynamics; and numerical analysis and methods of mantle convection. The subsequent chapters concentrate on leading issues of mantle convection itself, which include the energy budget of the mantle; the upper mantle and lithosphere in and near the spreading center (mid-ocean ridge) environment; the dynamics of subducting slabs; hot spots, melting anomalies, and mantle plumes; and finally, geochemical mantle dynamics and mixing. - Self-contained volume starts with an overview of the subject then explores each topic in detail - Extensive reference lists and cross references with other volumes to facilitate further research - Full-color figures and tables support the text and aid in understanding - Content suited for both the expert and non-expert

Handbook of Environmental Fluid Dynamics, Volume One

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Publisher : CRC Press
ISBN 13 : 1439816697
Total Pages : 638 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Environmental Fluid Dynamics, Volume One by : Harindra Joseph Fernando

Download or read book Handbook of Environmental Fluid Dynamics, Volume One written by Harindra Joseph Fernando and published by CRC Press. This book was released on 2012-12-12 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: With major implications for applied physics, engineering, and the natural and social sciences, the rapidly growing area of environmental fluid dynamics focuses on the interactions of human activities, environment, and fluid motion. A landmark for the field, the two-volume Handbook of Environmental Fluid Dynamics presents the basic principles, fundamental flow processes, modeling techniques, and measurement methods used in the study of environmental motions. It also offers critical discussions of environmental sustainability related to engineering. The handbook features 81 chapters written by 135 renowned researchers from around the world. Covering environmental, policy, biological, and chemical aspects, it tackles important cross-disciplinary topics such as sustainability, ecology, pollution, micrometeorology, and limnology. Volume One: Overview and Fundamentals provides a comprehensive overview of the basic principles. It starts with general topics that emphasize the relevance of environmental fluid dynamics research in society, public policy, infrastructure, quality of life, security, and the law. It then discusses established and emerging focus areas. The volume also examines the sub-mesoscale flow processes and phenomena that form the building blocks of environmental motions, with emphasis on turbulent motions and their role in heat, momentum, and species transport. As communities face existential challenges posed by climate change, rapid urbanization, and scarcity of water and energy, the study of environmental fluid dynamics becomes increasingly relevant. This volume is a valuable resource for students, researchers, and policymakers working to better understand the fundamentals of environmental motions and how they affect and are influenced by anthropogenic activities. See also Handbook of Environmental Fluid Dynamics, Two-Volume Set and Volume Two: Systems, Pollution, Modeling, and Measurements.

Propagation in Systems Far from Equilibrium

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Publisher : Springer Science & Business Media
ISBN 13 : 3642738613
Total Pages : 431 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Propagation in Systems Far from Equilibrium by : Jose E. Wesfreid

Download or read book Propagation in Systems Far from Equilibrium written by Jose E. Wesfreid and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Macroscopic physics provides us with a great variety of pattern-forming systems displaying propagation phenomena, from reactive fronts in combustion, to wavy structures in convection and to shear flow instabilities in hydrodynamics. These proceedings record progress in this rapidly expanding field. The contributions have the following major themes: - The problems of velocity selection and front morphology of propagating interfaces in multiphase media, with emphasis on recent theoretical and experimental results on dendritic crystal growth, Saffman-Taylor fingering, directional solidification and chemical waves. - The "unfolding" of large-scale, low-frequency behavior in weakly confined homogeneous systems driven far from equilibrium, and more specifically, the envelope approach to the mathematical description of textures in different cases: steady cells, propagating waves, structural defects, and phase instabilities. - The implications of the presence of global downstream transport in open flows for the nature, convective or absolute, of shear flow instabilities, with applications to real boundary layer flows or shear layers, as reported in contributions covering experimental situations of fundamental and/or engineering interest.

Mesoscale Meteorology in Midlatitudes

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Publisher : John Wiley & Sons
ISBN 13 : 1119966671
Total Pages : 435 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Mesoscale Meteorology in Midlatitudes by : Paul Markowski

Download or read book Mesoscale Meteorology in Midlatitudes written by Paul Markowski and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesoscale Meteorology in Mid-Latitudes presents the dynamics of mesoscale meteorological phenomena in a highly accessible, student-friendly manner. The book's clear mathematical treatments are complemented by high-quality photographs and illustrations. Comprehensive coverage of subjects including boundary layer mesoscale phenomena, orographic phenomena and deep convection is brought together with the latest developments in the field to provide an invaluable resource for mesoscale meteorology students. Mesoscale Meteorology in Mid-Latitudes functions as a comprehensive, easy-to-use undergraduate textbook while also providing a useful reference for graduate students, research scientists and weather industry professionals. Illustrated in full colour throughout Covers the latest developments and research in the field Comprehensive coverage of deep convection and its initiation Uses real life examples of phenomena taken from broad geographical areas to demonstrate the practical aspects of the science

Incompressible Fluid Dynamics

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Publisher : Oxford University Press
ISBN 13 : 0192640046
Total Pages : 528 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Incompressible Fluid Dynamics by : P. A. Davidson

Download or read book Incompressible Fluid Dynamics written by P. A. Davidson and published by Oxford University Press. This book was released on 2021-10-21 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics. The text comprises topics that establish the broad conceptual framework of the subject, expose key phenomena, and play an important role in the myriad of applications that exist in both nature and technology. The first half of the book covers topics that include the inviscid equations of Euler and Bernoulli, the Navier-Stokes equation and some of its simpler exact solutions, laminar boundary layers and jets, potential flow theory with its various applications to aerodynamics, the theory of surface gravity waves, and flows with negligible inertia, such as suspensions, lubrication layers, and swimming micro-organisms. The second half is more specialised. Vortex dynamics, which is so essential to many natural phenomena in fluid mechanics, is developed in detail. This is followed by chapters on stratified fluids and flows subject to a strong background rotation, both topics being central to our understanding of atmospheric and oceanic flows. Fluid instabilities and the transition to turbulence are also covered, followed by two chapters on fully developed turbulence. The text is largely self-contained, and aims to combine mathematical precision with a breadth of engineering and geophysical applications. Throughout, physical insight is given priority over mathematical detail.

Nonlinear Processes in Geophysical Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401000743
Total Pages : 378 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Nonlinear Processes in Geophysical Fluid Dynamics by : O.U. Velasco Fuentes

Download or read book Nonlinear Processes in Geophysical Fluid Dynamics written by O.U. Velasco Fuentes and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Tribute to the Scientific Work of Pedro Ripa

Chaotic Systems

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Publisher : World Scientific
ISBN 13 : 9814299715
Total Pages : 411 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Chaotic Systems by : Christos H. Skiadas

Download or read book Chaotic Systems written by Christos H. Skiadas and published by World Scientific. This book was released on 2010 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 15, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation. The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.

Chaotic Systems: Theory And Applications - Selected Papers From The 2nd Chaotic Modeling And Simulation International Conference (Chaos2009)

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Author :
Publisher : World Scientific
ISBN 13 : 9814465283
Total Pages : 411 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Chaotic Systems: Theory And Applications - Selected Papers From The 2nd Chaotic Modeling And Simulation International Conference (Chaos2009) by : Christos H Skiadas

Download or read book Chaotic Systems: Theory And Applications - Selected Papers From The 2nd Chaotic Modeling And Simulation International Conference (Chaos2009) written by Christos H Skiadas and published by World Scientific. This book was released on 2010-01-13 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 1-5, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation.The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.

Hydrodynamic and Hydromagnetic Stability

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486319202
Total Pages : 708 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Hydrodynamic and Hydromagnetic Stability by : S. Chandrasekhar

Download or read book Hydrodynamic and Hydromagnetic Stability written by S. Chandrasekhar and published by Courier Corporation. This book was released on 2013-04-26 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nobel Laureate's monumental study surveys hydrodynamic and hydromagnetic stability as a branch of experimental physics, surveying thermal instability of a layer of fluid heated from below, Benard problem, more.

Theory and Modeling of Rotating Fluids

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Publisher : Cambridge University Press
ISBN 13 : 1108293468
Total Pages : 541 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Theory and Modeling of Rotating Fluids by : Keke Zhang

Download or read book Theory and Modeling of Rotating Fluids written by Keke Zhang and published by Cambridge University Press. This book was released on 2017-05-23 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic account of the theory and modelling of rotating fluids that highlights the remarkable advances in the area and brings researchers and postgraduate students in atmospheres, oceanography, geophysics, astrophysics and engineering to the frontiers of research. Sufficient mathematical and numerical detail is provided in a variety of geometries such that the analysis and results can be readily reproduced, and many numerical tables are included to enable readers to compare or benchmark their own calculations. Traditionally, there are two disjointed topics in rotating fluids: convective fluid motion driven by buoyancy, discussed by Chandrasekhar (1961), and inertial waves and precession-driven flow, described by Greenspan (1968). Now, for the first time in book form, a unified theory is presented for three topics - thermal convection, inertial waves and precession-driven flow - to demonstrate that these seemingly complicated, and previously disconnected, problems become mathematically simple in the framework of an asymptotic approach that incorporates the essential characteristics of rotating fluids.