Rayleigh Bnard Convection

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Internally Heated Convection and Rayleigh-Bénard Convection

Author : David Goluskin
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.

Rayleigh-benard Convection: Structures And Dynamics

Author : Alexander V Getling
Publisher : World Scientific
ISBN 13 : 9814498971
Total Pages : 256 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Rayleigh-benard Convection: Structures And Dynamics by : Alexander V Getling

Download or read book Rayleigh-benard Convection: Structures And Dynamics written by Alexander V Getling and published by World Scientific. This book was released on 1998-03-06 with total page 256 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-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-Bnard Convection

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

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Book Synopsis Rayleigh-Bnard Convection by : Alexander V. Getling

Download or read book Rayleigh-Bnard 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-Bnard 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.

Introduction to Hydrodynamic Stability

Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 1316582876
Total Pages : 278 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Hydrodynamic Stability by : P. G. Drazin

Download or read book Introduction to Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2002-09-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Dynamics of Spatio-Temporal Cellular Structures

Author : Innocent Mutabazi
Publisher : Springer
ISBN 13 : 0387251111
Total Pages : 249 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Dynamics of Spatio-Temporal Cellular Structures by : Innocent Mutabazi

Download or read book Dynamics of Spatio-Temporal Cellular Structures written by Innocent Mutabazi and published by Springer. This book was released on 2010-06-14 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Antonio Barletta
Publisher : Springer
ISBN 13 : 3030061949
Total Pages : 283 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Routes to Absolute Instability in Porous Media by : Antonio Barletta

Download or read book Routes to Absolute Instability in Porous Media written by Antonio Barletta and published by Springer. This book was released on 2019-01-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Magnetoconvection

Author : N. O. Weiss
Publisher : Cambridge University Press
ISBN 13 : 052119055X
Total Pages : 411 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Magnetoconvection by : N. O. Weiss

Download or read book Magnetoconvection written by N. O. Weiss and published by Cambridge University Press. This book was released on 2014-10-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading experts present the current state of knowledge of the subject of magnetoconvection from the viewpoint of applied mathematics.

Dissipative Structures and Weak Turbulence

Author :
Publisher : Academic Press
ISBN 13 : 008092445X
Total Pages : 505 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Dissipative Structures and Weak Turbulence by :

Download or read book Dissipative Structures and Weak Turbulence written by and published by Academic Press. This book was released on 2014-06-28 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Chaos, Complexity And Transport: Theory And Applications - Proceedings Of The Cct '07

Author : Xavier Leoncini
Publisher : World Scientific
ISBN 13 : 9814470759
Total Pages : 378 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Chaos, Complexity And Transport: Theory And Applications - Proceedings Of The Cct '07 by : Xavier Leoncini

Download or read book Chaos, Complexity And Transport: Theory And Applications - Proceedings Of The Cct '07 written by Xavier Leoncini and published by World Scientific. This book was released on 2008-05-27 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide the readers with a wide panorama of different aspects related to Chaos, Complexity and Transport. It consists of a collection of contributions ranging from applied mathematics to experiments, presented during the CCT'07 conference (Marseilles, June 4-8, 2007). The book encompasses different traditional fields of physics and mathematics while trying to keep a common language among the fields, and targets a nonspecialized audience.

Bénard Cells and Taylor Vortices

Author : E. L. Koschmieder
Publisher : Cambridge University Press
ISBN 13 : 9780521402040
Total Pages : 356 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Bénard Cells and Taylor Vortices by : E. L. Koschmieder

Download or read book Bénard Cells and Taylor Vortices written by E. L. Koschmieder and published by Cambridge University Press. This book was released on 1993-02-26 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the motions resulting from heating a fluid layer from below.

Cloud Dynamics

Author : Robert A. Houze Jr.
Publisher : Elsevier
ISBN 13 : 0080502105
Total Pages : 605 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Cloud Dynamics by : Robert A. Houze Jr.

Download or read book Cloud Dynamics written by Robert A. Houze Jr. and published by Elsevier. This book was released on 1994-06-28 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clouds play a critical role in the Earth's climate, general atmospheric circulation, and global water balance. Clouds are essential elements in mesoscale meteorology, atmospheric chemistry, air pollution, atmosphericradiation, and weather forecasting, and thus must be understood by any student or researcher in the atmospheric sciences. Cloud Dynamics provides a skillful and comprehensive examination of the nature of clouds--what they look like and why, how scientists observe them, and the basic dynamics and physics that underlie them. The book describes the mechanics governing each type of cloud that occurs in Earth's atmosphere, and the organization of various types of clouds in larger weather systems such as fronts, thunderstorms, and hurricanes.This book is aimed specifically at graduate students, advanced undergraduates, practicing researchers either already in atmospheric science or moving in from a related scientific field, and operational meteorologists. Some prior knowledge of atmospheric dynamics and physics is helpful, but a thorough overview of the necessary prerequisites is supplied. Provides a complete treatment of clouds integrating the analysis of air motions with cloud structure, microphysics, and precipitation mechanics Describes and explains the basic types of clouds and cloud systems that occur in the atmosphere-fog, stratus, stratocumulus, altocumulus, altostratus, cirrus, thunderstorms, tornadoes, waterspouts, orographically induced clouds, mesoscale convection complexes, hurricanes, fronts, and extratropical cyclones Presents a photographic guide, presented in the first chapter, linking the examination of each type of cloud with an image to enhance visual retention and understanding Summarizes the fundamentals, both observational and theoretical, of atmospheric dynamics, thermodynamics, cloud microphysics, and radar meteorology, allowing each type of cloud to be examined in depth Integrates the latest field observations, numerical model simulations, and theory Supplies a theoretical treatment suitable for the advanced undergraduate or graduate level

Magnetic Convection

Author : Hiroyuki Ozoe
Publisher : Imperial College Press
ISBN 13 : 1860947123
Total Pages : 237 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Magnetic Convection by : Hiroyuki Ozoe

Download or read book Magnetic Convection written by Hiroyuki Ozoe and published by Imperial College Press. This book was released on 2005 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hydrodynamic Fluctuations in Fluids and Fluid Mixtures

Author : Jose M. Ortiz de Zarate
Publisher : Elsevier
ISBN 13 : 0080459439
Total Pages : 321 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Hydrodynamic Fluctuations in Fluids and Fluid Mixtures by : Jose M. Ortiz de Zarate

Download or read book Hydrodynamic Fluctuations in Fluids and Fluid Mixtures written by Jose M. Ortiz de Zarate and published by Elsevier. This book was released on 2006-04-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with density, temperature, velocity and concentration fluctuations in fluids and fluid mixtures. The book first reviews thermal fluctuations in equilibrium fluids on the basis of fluctuating hydrodynamics. It then shows how the method of fluctuating hydrodynamics can be extended to deal with hydrodynamic fluctuations when the system is in a stationary nonequilibrium state. In contrast to equilibrium fluids where the fluctuations are generally short ranged unless the system is close to a critical point, fluctuations in nonequilibrium fluids are always long-ranged encompassing the entire system. The book provides the first comprehensive treatment of fluctuations in fluids and fluid mixtures brought out of equilibrium by the imposition of a temperature and concentration gradient but that are still in a macroscopically quiescent state. By incorporating appropriate boundary conditions in the case of fluid layers, it is shown how fluctuating hydrodynamics affects the fluctuations close to the onset of convection. Experimental techniques of light scattering and shadowgraphy for measuring nonequilibrium fluctuations are elucidated and the experimental results thus far reported in the literature are reviewed. · Systematic exposition of fluctuating hydrodynamics and its applications· First book on nonequilibrium fluctuations in fluids· Fluctuating Boussinesq equations and nonequilibrium fluids· Fluid layers and onset of convection· Rayleigh scattering and Brillouin scattering in fluids· Shadowgraph technique for measuring fluctuations· Fluctuations near hydrodynamic instabilities

Instability in Geophysical Flows

Author : William D. Smyth
Publisher : Cambridge University Press
ISBN 13 : 1108670512
Total Pages : 342 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Instability in Geophysical Flows by : William D. Smyth

Download or read book Instability in Geophysical Flows written by William D. Smyth and published by Cambridge University Press. This book was released on 2019-04-25 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities are present in all natural fluids from rivers to atmospheres. This book considers the physical processes that generate instability. Part I describes the normal mode instabilities most important in geophysical applications, including convection, shear instability and baroclinic instability. Classical analytical approaches are covered, while also emphasising numerical methods, mechanisms such as internal wave resonance, and simple `rules of thumb' that permit assessment of instability quickly and intuitively. Part II introduces the cutting edge: nonmodal instabilities, the relationship between instability and turbulence, self-organised criticality, and advanced numerical techniques. Featuring numerous exercises and projects, the book is ideal for advanced students and researchers wishing to understand flow instability and apply it to their own research. It can be used to teach courses in oceanography, atmospheric science, coastal engineering, applied mathematics and environmental science. Exercise solutions and MATLAB® examples are provided online. Also available as Open Access on Cambridge Core.

Rayleigh-Bénard Convection in a Fluid with Prandt1 Number Near One

Author : Yuchou Hu
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (344 download)

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Book Synopsis Rayleigh-Bénard Convection in a Fluid with Prandt1 Number Near One by : Yuchou Hu

Download or read book Rayleigh-Bénard Convection in a Fluid with Prandt1 Number Near One written by Yuchou Hu and published by . This book was released on 1995 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistics and Scaling in Turbulent Rayleigh-Bénard Convection

Author : Emily S.C. Ching
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.

Recent Developments in Theoretical Physics

Author : Subir Ghosh (Prof.)
Publisher : World Scientific
ISBN 13 : 9814287334
Total Pages : 438 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Recent Developments in Theoretical Physics by : Subir Ghosh (Prof.)

Download or read book Recent Developments in Theoretical Physics written by Subir Ghosh (Prof.) and published by World Scientific. This book was released on 2010 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Is the end of theoretical physics really in sight? / A. Khare -- 2. Holography, CFT and black hole entropy / P. Majumdar -- 3. Hawking radiation, effective actions and anomalies / R. Banerjee -- 4. Probing dark matter in primordial black holes / A.S. Majumdar -- 5. Physics in the `Once Given' universe / C.S. Unnikrishnan -- 6. Doubly-special relativity / G. Amelino-Camelia -- 7. Nuances of neutrinos / A. Raychaudhuri -- 8. Dynamics of proton spin / A.N. Mitra -- 9. Whither nuclear physics? / A. Abbas -- 10. Generalized Swanson model and its pseudo supersymmetric partners / A. Sinha and P. Roy -- 11. The relevance of berry phase in quantum physics / P. Bandyopadhyay -- 12. Quantum Hamiltonian diagonalization / P. Gosselin, A. Bérard and H. Mohrbach -- 13. The Hall conductivity of spinning anyons / B. Basu -- 14. Quantum annealing and computation / A. Das and B.K. Chakrabarti -- 15. Liouville gravity from Einstein gravity / D. Grumiller and R. Jackiw -- 16. Exact static solutions of a generalized discret ø[symbol] / A. Khare -- 17. A model for flow reversal in two-dimensional convection / K. Kumar [und weitere] -- 18. Euclidean networks and dimensionality / P. Sen -- 19. Equal superposition transformations and quantum random walks / P. Parashar -- 20. Cloning entanglement locally / S.K. Choudhary and R. Rahaman