The Kolmogorov Obukhov Theory Of Turbulence
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The Kolmogorov Obukhov Theory Of Turbulence
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Author : Bjorn Birnir
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-31
The Kolmogorov Obukhov Theory Of Turbulence written by Bjorn Birnir 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 2013-01-31 with Mathematics categories.
Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development of the statistical theory of the Navier-Stokes equations describes turbulent flow has been an open problem. The Kolmogorov-Obukhov Theory of Turbulence develops a statistical theory of turbulence from the stochastic Navier-Stokes equation and the physical theory, that was proposed by Kolmogorov and Obukhov in 1941. The statistical theory of turbulence shows that the noise in developed turbulence is a general form which can be used to present a mathematical model for the stochastic Navier-Stokes equation. The statistical theory of the stochastic Navier-Stokes equation is developed in a pedagogical manner and shown to imply the Kolmogorov-Obukhov statistical theory. This book looks at a new mathematical theory in turbulence which may lead to many new developments in vorticity and Lagrangian turbulence. But even more importantly it may produce a systematic way of improving direct Navier-Stokes simulations and lead to a major jump in the technology both preventing and utilizing turbulence.
The Fascination Of Probability Statistics And Their Applications
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Author : Mark Podolskij
language : en
Publisher: Springer
Release Date : 2015-12-26
The Fascination Of Probability Statistics And Their Applications written by Mark Podolskij and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-26 with Mathematics categories.
Collecting together twenty-three self-contained articles, this volume presents the current research of a number of renowned scientists in both probability theory and statistics as well as their various applications in economics, finance, the physics of wind-blown sand, queueing systems, risk assessment, turbulence and other areas. The contributions are dedicated to and inspired by the research of Ole E. Barndorff-Nielsen who, since the early 1960s, has been and continues to be a very active and influential researcher working on a wide range of important problems. The topics covered include, but are not limited to, econometrics, exponential families, Lévy processes and infinitely divisible distributions, limit theory, mathematical finance, random matrices, risk assessment, statistical inference for stochastic processes, stochastic analysis and optimal control, time series, and turbulence. The book will be of interest to researchers and graduate students in probability, statistics and their applications.
Random Functions And Turbulence
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Author : S. Panchev
language : en
Publisher: Elsevier
Release Date : 2016-10-27
Random Functions And Turbulence written by S. Panchev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Technology & Engineering categories.
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.
Turbulence
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Author : Uriel Frisch
language : en
Publisher: Cambridge University Press
Release Date : 1995-11-30
Turbulence written by Uriel Frisch 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 1995-11-30 with Science categories.
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A.N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such "fully developed turbulence" is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. First, a qualitative introduction is given to bring out the need for a probabilistic description of what is in essence a deterministic system. Kolmogorov's 1941 theory is presented in a novel fashion with emphasis on symmetries (including scaling transformations) which are broken by the mechanisms producing the turbulence and restored by the chaotic character of the cascade to small scales. Considerable material is devoted to intermittency, the clumpiness of small-scale activity, which has led to the development of fractal and multifractal models. Such models, pioneered by B. Mandelbrot, have applications in numerous fields besides turbulence (diffusion limited aggregation, solid-earth geophysics, attractors of dynamical systems, etc). The final chapter contains an introduction to analytic theories of the sort pioneered by R. Kraichnan, to the modern theory of eddy transport and renormalization and to recent developments in the statistical theory of two-dimensional turbulence. The book concludes with a guide to further reading. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers.
Cosmic Electrodynamics
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Author : Gregory D. Fleishman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-21
Cosmic Electrodynamics written by Gregory D. Fleishman 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 2013-03-21 with Science categories.
This book presents the fundamental concepts of the theory, illustrated by numerous examples of astrophysical applications. Classical concepts are combined with new developments and the authors demarcate what is well established and what is still under debate. To book illustrates how apparently complicated phenomena can be addressed and understood using well-known physical principles and equations within appropriate approximations and simplifications. For this purpose, a number of astrophysical examples are considered in greater detail than what is normally presented in a regular textbook. In particular, a number of nonlinear self-consistent models are considered, which is motivated by the latest observational data and modern theory.
Optical Waves And Laser Beams In The Irregular Atmosphere
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Author : Nathan Blaunstein
language : en
Publisher: CRC Press
Release Date : 2017-09-22
Optical Waves And Laser Beams In The Irregular Atmosphere written by Nathan Blaunstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-22 with Computers categories.
The book introduces optical wave propagation in the irregular turbulent atmosphere and the relations to laser beam and LIDAR applications for both optical communication and imaging. It examines atmosphere fundamentals, structure, and content. It explains specific situations occurring in the irregular atmosphere and for specific natural phenomena that affect optical ray and laser beam propagation. It emphasizes how to use LIDAR to investigate atmospheric phenomena and predict primary parameters of the irregular turbulent atmosphere and suggests what kinds of optical devices to operate in different atmospheric situations to minimize the deleterious effects of natural atmospheric phenomena.
Turbulence And Self Organization
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Author : Mikhail Ya Marov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-16
Turbulence And Self Organization written by Mikhail Ya Marov 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 2013-01-16 with Science categories.
The book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution.
Remote Sensing Of Turbulence
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Author : Victor Raizer
language : en
Publisher: CRC Press
Release Date : 2021-10-03
Remote Sensing Of Turbulence written by Victor Raizer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-03 with Technology & Engineering categories.
This book offers a unique multidisciplinary integration of the physics of turbulence and remote sensing technology. Remote Sensing of Turbulence provides a new vision on the research of turbulence and summarizes the current and future challenges of monitoring turbulence remotely. The book emphasizes sophisticated geophysical applications, detection, and recognition of complex turbulent flows in oceans and the atmosphere. Through several techniques based on microwave and optical/IR observations, the text explores the technological capabilities and tools for the detection of turbulence, their signatures, and variability. FEATURES Covers the fundamental aspects of turbulence problems with a broad geophysical scope for a wide audience of readers Provides a complete description of remote-sensing capabilities for observing turbulence in the earth’s environment Establishes the state-of-the-art remote-sensing techniques and methods of data analysis for turbulence detection Investigates and evaluates turbulence detection signatures, their properties, and variability Provides cutting-edge remote-sensing applications for space-based monitoring and forecasts of turbulence in oceans and the atmosphere This book is a great resource for applied physicists, the professional remote sensing community, ecologists, geophysicists, and earth scientists.
Turbulent Mixing And Chemical Reactions
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Author : Jerzy Bałdyga
language : en
Publisher: John Wiley & Sons
Release Date : 1999-03-12
Turbulent Mixing And Chemical Reactions written by Jerzy Bałdyga and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-12 with Science categories.
Turbulent Mixing and Chemical Reactions Jerzy Ba???dyga, Warsaw University of Technology, Poland John R. Bourne, Visiting Professor, University of Birmingham, UK and Emeritus Professor, ETH Zurich, Switzerland The way in which reagents are mixed can greatly influence the yield and range of products formed by fast, multiple chemical reactions. Understanding this phenomenon enables chemists to carry out reactions more selectively, make better use of raw materials and simplify product workup and separation. Turbulent Mixing and Chemical Reactions presents a balanced treatment of the connection between mixing and reaction. It contains theoretical aspects, experimental methods and expected results as well as worked examples to illustrate problem solving. This book will be of interest to all scientists involved in chemical engineering, physical chemistry, and synthetic chemists in the fine chemical and pharmaceuticals industry.
Turbulence And Diffusion
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Author : Oleg G. Bakunin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-15
Turbulence And Diffusion written by Oleg G. Bakunin 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 2008-08-15 with Science categories.
This book is intended to serve as an introduction to the multidisciplinary ?eld of anomalous diffusion in complex systems such as turbulent plasma, convective rolls, zonal ?ow systems, stochastic magnetic ?elds, etc. In spite of its great importance, turbulent transport has received comparatively little treatment in published mo- graphs. This book attempts a comprehensive description of the scaling approach to turbulent diffusion. From the methodological point of view, the book focuses on the general use of correlation estimates, quasilinear equations, and continuous time random walk - proach. I provide a detailed structure of some derivations when they may be useful for more general purposes. Correlation methods are ?exible tools to obtain tra- port scalings that give priority to the richness of ingredients in a physical pr- lem. The mathematical description developed here is not meant to provide a set of “recipes” for hydrodynamical turbulence or plasma turbulence; rather, it serves to develop the reader’s physical intuition and understanding of the correlation mec- nisms involved.