Boundary Layer Solution For The Rayleigh Benard Convection Problem

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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.

Aerodynamic Phenomena in Stellar Atmospheres

Author : Richard N. Thomas
Publisher :
ISBN 13 :
Total Pages : 548 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Aerodynamic Phenomena in Stellar Atmospheres by : Richard N. Thomas

Download or read book Aerodynamic Phenomena in Stellar Atmospheres written by Richard N. Thomas and published by . This book was released on 1967 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Mantle Convection

Author : W. R. Peltier
Publisher : CRC Press
ISBN 13 : 9780677221205
Total Pages : 902 pages
Book Rating : 4.2/5 (212 download)

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Book Synopsis Mantle Convection by : W. R. Peltier

Download or read book Mantle Convection written by W. R. Peltier and published by CRC Press. This book was released on 1989 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

The Atmospheric Boundary Layer

Author : J. R. Garratt
Publisher : Cambridge University Press
ISBN 13 : 9780521467452
Total Pages : 340 pages
Book Rating : 4.4/5 (674 download)

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Book Synopsis The Atmospheric Boundary Layer by : J. R. Garratt

Download or read book The Atmospheric Boundary Layer written by J. R. Garratt and published by Cambridge University Press. This book was released on 1994-04-21 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a comprehensive and lucid account of the science of the atmospheric boundary layer (ABL). There is an emphasis on the application of the ABL to numerical modelling of the climate. The book comprises nine chapters, several appendices (data tables, information sources, physical constants) and an extensive reference list. Chapter 1 serves as an introduction, with chapters 2 and 3 dealing with the development of mean and turbulence equations, and the many scaling laws and theories that are the cornerstone of any serious ABL treatment. Modelling of the ABL is crucially dependent for its realism on the surface boundary conditions, and chapters 4 and 5 deal with aerodynamic and energy considerations, with attention to both dry and wet land surfaces and sea. The structure of the clear-sky, thermally stratified ABL is treated in chapter 6, including the convective and stable cases over homogeneous land, the marine ABL and the internal boundary layer at the coastline. Chapter 7 then extends the discussion to the cloudy ABL. This is seen as particularly relevant, since the extensive stratocumulus regions over the subtropical oceans and stratus regions over the Arctic are now identified as key players in the climate system. Finally, chapters 8 and 9 bring much of the book's material together in a discussion of appropriate ABL and surface parameterization schemes in general circulation models of the atmosphere that are being used for climate simulation.

Spectral Methods in MATLAB

Author : Lloyd N. Trefethen
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.

Theory and Applications of Viscous Fluid Flows

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
ISBN 13 : 3662104474
Total Pages : 498 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Theory and Applications of Viscous Fluid Flows by : Radyadour Kh. Zeytounian

Download or read book Theory and Applications of Viscous Fluid Flows written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.

Micropolar Fluids

Author : Grzegorz Lukaszewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461206413
Total Pages : 262 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Micropolar Fluids by : Grzegorz Lukaszewicz

Download or read book Micropolar Fluids written by Grzegorz Lukaszewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.

Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

Author : Alexander Gelfgat
Publisher : Springer
ISBN 13 : 3319914944
Total Pages : 524 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics by : Alexander Gelfgat

Download or read book Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics written by Alexander Gelfgat and published by Springer. This book was released on 2018-07-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.

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.

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.

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.

The Energy Method, Stability, and Nonlinear Convection

Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 1475721943
Total Pages : 254 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Energy Method, Stability, and Nonlinear Convection by : Brian Straughan

Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Lattice Boltzmann Method

Author : Timm Krüger
Publisher : Springer
ISBN 13 : 3319446495
Total Pages : 705 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Lattice Boltzmann Method by : Timm Krüger

Download or read book The Lattice Boltzmann Method written by Timm Krüger and published by Springer. This book was released on 2016-11-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

Natural Convection in Superposed Fluid-Porous Layers

Author : Aniruddha Bagchi
Publisher : Springer Science & Business Media
ISBN 13 : 1461465761
Total Pages : 87 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Natural Convection in Superposed Fluid-Porous Layers by : Aniruddha Bagchi

Download or read book Natural Convection in Superposed Fluid-Porous Layers written by Aniruddha Bagchi and published by Springer Science & Business Media. This book was released on 2013-07-18 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.