Mathematical Models of Convection

Mathematical Models of Convection PDF Author: Victor K. Andreev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311065394X
Category : Science
Languages : en
Pages : 334

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Book Description
The revised edition gives a comprehensive mathematical and physical presentation of fluid flows in non-classical models of convection - relevant in nature as well as in industry. After the concise coverage of fluid dynamics and heat transfer theory it discusses recent research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.

Mathematical Models of Convection

Mathematical Models of Convection PDF Author: Victor K. Andreev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311065394X
Category : Science
Languages : en
Pages : 334

Get Book Here

Book Description
The revised edition gives a comprehensive mathematical and physical presentation of fluid flows in non-classical models of convection - relevant in nature as well as in industry. After the concise coverage of fluid dynamics and heat transfer theory it discusses recent research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.

Buoyant Convection in Geophysical Flows

Buoyant Convection in Geophysical Flows PDF Author: Erich J. Plate
Publisher: Springer Science & Business Media
ISBN: 9401150583
Category : Science
Languages : en
Pages : 493

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Book Description
Studies of convection in geophysical flows constitute an advanced and rapidly developing area of research that is relevant to problems of the natural environment. During the last decade, significant progress has been achieved in the field as a result of both experimental studies and numerical modelling. This led to the principal revision of the widely held view on buoyancy-driven turbulent flows comprising an organised mean component with superimposed chaotic turbulence. An intermediate type of motion, represented by coherent structures, has been found to play a key role in geophysical boundary layers and in larger scale atmospheric and hydrospheric circulations driven by buoyant forcing. New aspects of the interaction between convective motions and rotation have recently been discovered and investigated. Extensive experimental data have also been collected on the role of convection in cloud dynamics and microphysics. New theoretical concepts and approaches have been outlined regarding scaling and parameterization of physical processes in buoyancy-driven geophysical flows. The book summarizes interdisciplinary studies of buoyancy effects in different media (atmosphere and hydrosphere) over a wide range of scales (small scale phenomena in unstably stratified and convectively mixed layers to deep convection in the atmosphere and ocean), by different research methods (field measurements, laboratory simulations, numerical modelling), and within a variety of application areas (dispersion of pollutants, weather forecasting, hazardous phenomena associated with buoyant forcing).

Convection-diffusion Problems

Convection-diffusion Problems PDF Author: Martin Stynes
Publisher:
ISBN: 9781470450212
Category : MATHEMATICS
Languages : en
Pages :

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Book Description
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this c.

Interfacial Convection in Multilayer Systems

Interfacial Convection in Multilayer Systems PDF Author: A. Nepomnyashchy
Publisher: Springer Science & Business Media
ISBN: 0387877134
Category : Mathematics
Languages : en
Pages : 509

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Book Description
This book gives a systematic investigation of convection in systems comprised of liquid layers with deformatable interfaces. This new edition includes completely updated and new material on flows in ultra thin films and brings up to date progress made in the technology on micro and nano scales. Also, this revised edition will reflect progress in the dynamics of complex fluids.

The Energy Method, Stability, and Nonlinear Convection

The Energy Method, Stability, and Nonlinear Convection PDF Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 1475721943
Category : Science
Languages : en
Pages : 254

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Book Description
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.

Convection in Porous Media

Convection in Porous Media PDF Author: Donald A. Nield
Publisher: Springer
ISBN: 3319495623
Category : Technology & Engineering
Languages : en
Pages : 1005

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Book Description
This updated edition of a widely admired text provides a user-friendly introduction to the field that requires only routine mathematics. The book starts with the elements of fluid mechanics and heat transfer, and covers a wide range of applications from fibrous insulation and catalytic reactors to geological strata, nuclear waste disposal, geothermal reservoirs, and the storage of heat-generating materials. As the standard reference in the field, this book will be essential to researchers and practicing engineers, while remaining an accessible introduction for graduate students and others entering the field. The new edition features 2700 new references covering a number of rapidly expanding fields, including the heat transfer properties of nanofluids and applications involving local thermal non-equilibrium and microfluidic effects.

Studies Of Cloud, Convection And Precipitation Processes Using Satellite Observations

Studies Of Cloud, Convection And Precipitation Processes Using Satellite Observations PDF Author: William B Rossow
Publisher: World Scientific
ISBN: 9811256926
Category : Technology & Engineering
Languages : en
Pages : 333

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Book Description
Clouds, convection and precipitation processes are central components of Earth's weather and climate. They are produced by atmospheric motions across a very wide range of space-time scales from local weather to long-term global climate variation. They feedback on these motions by perturbing the heating/cooling that drive the atmospheric circulation. These processes also perturb the oceanic circulation and land surface properties that affect the atmospheric circulation.Because of the coupling of the atmosphere-ocean-land system across all scales by cloud, convection and precipitation processes, studying their behaviors requires measurements in space-time variations across all these scales simultaneously. Satellite constellations with global coverage and high time resolution offer the ideal platforms for such observations. This book summarizes some of the latest research using combinations of various satellite observations to study these processes and to evaluate their representations in global weather and climate models.Included with this publication are downloadable electronic slides and accompanying notes of each lecture for students, teachers, and public speakers around the world to be better able to understand cloud, convection and precipitation processes.

Theory of Heat Transfer with Forced Convection Film Flows

Theory of Heat Transfer with Forced Convection Film Flows PDF Author: De-Yi Shang
Publisher: Springer Science & Business Media
ISBN: 3642125816
Category : Science
Languages : en
Pages : 350

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Book Description
Developing a new treatment of ‘Free Convection Film Flows and Heat Transfer’ began in Shang’s first monograph and is continued in this monograph. The current book displays the recent developments of laminar forced convection and forced film condensation. It is aimed at revealing the true features of heat and mass transfer with forced convection film flows to model the deposition of thin layers. The novel mathematical similarity theory model is developed to simulate temperature- and concentration- dependent physical processes. The following topics are covered in this book: 1. Mathematical methods - advanced similarity analysis method to replace the traditional Falkner-Skan type transformation - a novel system of similarity analysis and transformation models to overcome the difficult issues of forced convection and forced film flows - heat and mass transfer equations based on the advanced similarity analysis models and equations formulated with rigorous key numerical solutions 2. Modeling the influence of physical factors - effect of thermal dissipation on forced convection heat transfer - a system of models of temperature and concentration-dependent variable physical properties based on the advanced temperature-parameter model and rigorous analysis model on vapor-gas mixture physical properties for the rigorous and convenient description of the governing differential equations - an available approach to satisfy interfacial matching conditions for rigorous and reliable solutions - a system of numerical results on velocity, temperature and concentration fields, as well as, key solutions on heat and mass transfer - the effect of non-condensable gas on heat and mass transfer for forced film condensation. This way it is realized to conveniently and reliably predict heat and mass transfer for convection and film flows and to resolve a series of current difficult issues of heat and mass transfer with forced convection film flows. Professionals in this fields as well as graduate students will find this a valuable book for their work.

Nanofluid Technologies and Thermal Convection Techniques

Nanofluid Technologies and Thermal Convection Techniques PDF Author: Chand, Ramesh
Publisher: IGI Global
ISBN: 1683180070
Category : Technology & Engineering
Languages : en
Pages : 319

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Book Description
Emerging developments in nanofluid research have enhanced its range of various industrial applications. When implemented effectively, the use of such fluids offer numerous benefits, particularly in cooling processes. Nanofluid Technologies and Thermal Convection Techniques is a pivotal source of information for theoretical perspectives and investigations on the thermal instability of nanofluids and its various effects. Highlighting relevant studies relating to stationary, double diffusive, and oscillatory convection, this book is ideally designed for professionals, researchers, and practitioners seeking material on the industrial usage of nanofluid technologies.

Convection in Rotating Fluids

Convection in Rotating Fluids PDF Author: B.M. Boubnov
Publisher: Springer Science & Business Media
ISBN: 9401102430
Category : Science
Languages : en
Pages : 236

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Book Description
Spatial inhomogeneity of heating of fluids in the gravity field is the cause of all motions in nature: in the atmosphere and the oceans on Earth, in astrophysical and planetary objects. All natural objects rotate and convective motions in rotating fluids are of interest in many geophysical and astrophysical phenomena. In many industrial applications, too (crystal growth, semiconductor manufacturing), heating and rotation are the main mechanisms defining the structure and quality of the material. Depending on the geometry of the systems and the mutual orientation of temperature and gravity field, a variety of phenomena will arise in rotating fluids, such as regular and oscillating waves, intensive solitary vortices and regular vortex grids, interacting vortices and turbulent mixing. In this book the authors elucidate the physical essence of these phenomena, determining and classifying flow regimes in the space of similarity numbers. The theoretical and computational results are presented only when the results help to explain basic qualitative motion characteristics. The book will be of interest to researchers and graduate students in fluid mechanics, meteorology, oceanography and astrophysics, crystallography, heat and mass transfer.