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Random Functions And Turbulence
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Book Synopsis Random Functions and Turbulence by : S. Panchev
Download or read book Random Functions and Turbulence written by S. Panchev and published by Elsevier. This book was released on 2016-10-27 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Random Functions and Turbulence by : S. Panchev
Download or read book Random Functions and Turbulence written by S. Panchev and published by . This book was released on 1971 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Turbulence and Random Processes in Fluid Mechanics by : M. T. Landahl
Download or read book Turbulence and Random Processes in Fluid Mechanics written by M. T. Landahl and published by Cambridge University Press. This book was released on 1992-09-25 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science.
Book Synopsis Wave Propagation in a Turbulent Medium by : Valerian Ilich Tatarski
Download or read book Wave Propagation in a Turbulent Medium written by Valerian Ilich Tatarski and published by Courier Dover Publications. This book was released on 2016-12-14 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph describes the phenomena associated with the propagation of electromagnetic and acoustic waves through atmospheric turbulence. Geared toward specialists in radiophysics and atmospheric acoustics and optics, the treatment is also suitable for advanced undergraduates and graduate students. The author stresses applications to phase and amplitude fluctuations, scintillation of stars, radio scattering, and other problems. Part I covers topics from the theory of random fields and turbulence theory, including statistical description. Part II, on the scattering of waves in the turbulent atmosphere, is supplemented by an appendix on scattering of acoustic radiation. Part III offers a detailed presentation of line-of-sight propagation of acoustic and electromagnetic waves through a turbulent medium. Part IV concludes the text with a comparison of theory with experimental data
Book Synopsis Nonlinear Random Waves and Turbulence in Nondispersive Media by : С. Н Гурбатов
Download or read book Nonlinear Random Waves and Turbulence in Nondispersive Media written by С. Н Гурбатов and published by Manchester University Press. This book was released on 1991 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Turbulence—an Odyssey by : Michael Eckert
Download or read book Turbulence—an Odyssey written by Michael Eckert and published by Springer Nature. This book was released on 2022-02-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence is a research field where high expectations have met with recurrent frustration. It is a common perception among physicists, mathematicians and engineers that there is a "big mystery" behind the phenomenon of turbulence. Its history has also remained anything but well researched. Unlike topics such as quantum theory, which began to attract physics historians as long as fifty years ago, turbulence has - until now - received only little professional historical investigation. In this book, which complements his earlier SpringerBrief "The Turbulence Problem", the author sketches the history of turbulence from the vantage point of its roots (Part I), the basic concepts (Part II) and the formation of a scientific community that regarded turbulence as a research field in its own right (Part III). From this perspective turbulence research appears to undertake an odyssey through uncharted territories. The book follows this development up until a conference in Marseille in the year 1961, which marked the inauguration of turbulence in the words of its organizer as “a new science”. The epilogue contains some observations about turbulence research since 1961. This book provides a rich source of information for all those interested in the history of this major field of basic and applied science.
Download or read book Turbulence written by Uriel Frisch and published by Cambridge University Press. This book was released on 1995-11-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.
Book Synopsis Turbulence in Fluids by : Marcel Lesieur
Download or read book Turbulence in Fluids written by Marcel Lesieur and published by Springer Science & Business Media. This book was released on 2008-03-26 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fully updated fourth edition, this leading text in its field is an exhaustive monograph on turbulence in fluids in its theoretical and applied aspects. The authors examine a number of advanced developments using mathematical spectral methods, direct-numerical simulations, and large-eddy simulations. The book remains a hugely important contribution to the literature on a topic of great importance for engineering and environmental applications, and presents a very detailed presentation of the field.
Book Synopsis Handbook of Turbulence by : Walter Frost
Download or read book Handbook of Turbulence written by Walter Frost and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence takes place in practically all flow situations that occur naturally or in modern technological systems. Therefore, considerable effort is being expended in an attempt to understand this very complex physical phenome non and to develop both empirical and mathematical models for its description. Such numerical and analytical computational schemes would allow the reliable prediction and design of turbulent flow processes to be carried out. The purpose of this book is to bring together, in a usable form, some of the fundamental concepts of turbulence along with turbulence models and experimental techniques. It is hoped that these have "general applicability" in current engineering design. The phrase "general applicabil ity" is highlighted because the theory of turbulence is still so much in a formative stage that completely general analyses are not available now, nor will they be available in the immediate future. The concepts and models described herein represent the state-of-the art methods that are now being used to give answers to turbulent flow problems. As in all turbulent flow analysis, the methods are a blend of analytical and empirical input, and the reader should be cognizant of the simplification and restrictions imposed upon the methods when applyingthem to physical situations different from those for which they have been developed.
Book Synopsis Stochastic Tools in Turbulence by : John L. Lumey
Download or read book Stochastic Tools in Turbulence written by John L. Lumey and published by Elsevier. This book was released on 2012-12-02 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Tools in Turbulence discusses the available mathematical tools to describe stochastic vector fields to solve problems related to these fields. The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. The text describes probability distributions and densities, including Lebesgue integration, conditional probabilities, conditional expectations, statistical independence, lack of correlation. The book also explains the significance of the moments, the properties of the characteristic function, and the Gaussian distribution from a more physical point of view. In considering fields, one must account for single-valued functions of one or more parameters, or collections of single-valued functions of one or more parameters such as time or space coordinates. The text also discusses multidimensional vector fields of finite energy, the characteristic eddies for a homogenous vector field, as well as, the distribution of solutions of an algebraic equation. Engineers, algebra students, and professors of statistics and advanced mathematics will find the book highly useful.
Book Synopsis The Theories of Turbulence by : Léon Agostini
Download or read book The Theories of Turbulence written by Léon Agostini and published by . This book was released on 1955 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of turbulence reached its full growth at the end of the 19th century as a result of the work by Boussinesq and Reynolds. It then underwent a long period of stagnation which ended under the impulse given to it by the development of wind tunnels caused by the needs of aviation. Numerous researchers, attempted to put Reynolds' elementary statistical theory into a more precise form.
Book Synopsis Fundamental Problematic Issues in Turbulence by : Albert Gyr
Download or read book Fundamental Problematic Issues in Turbulence written by Albert Gyr and published by Birkhäuser. This book was released on 2012-12-06 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of contributions on a variety of mathematical, physical and engineering subjects related to turbulence. Topics include mathematical issues, control and related problems, observational aspects, two- and quasi-two-dimensional flows, basic aspects of turbulence modeling, statistical issues and passive scalars.
Book Synopsis Turbulence in the Free Atmosphere by : N. Vinnichenko
Download or read book Turbulence in the Free Atmosphere written by N. Vinnichenko and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence-the randomly disordered movement of volumes of air of widely varying size-is one of the characteristic features of atmospheric air flows; its investigation is essential for the solution of several theoretical and practical problems. Until recently, owing to experimental difficulties, research on turbu lence was confmed mainly to the lower half of the troposphere. Theoretical investigations have consequently been based on these data. The rapid development of high-altitude aviation and cases of aircraft encoun tering hazardous turbulence led to a sharp intensification of research on turbu lence in the atmosphere up to 10-12 km, and subsequently at greater altitudes. Such research was confined initially to the characterization of the frequency of occurrence of gusts of different speeds, their relation to altitude, geographical conditions, time of day and year, and so on. At the end of the fifties, when the required measuring equipment and experimental techniques had been developed, it became possible to investigate the complete statistical characteristics of turbu lence: the spectral densities of the velocity fluctuations of air flows, structure functions, etc. These data stimulated the further development of theory related to the specific conditions of the free atmosphere.
Book Synopsis New trends in turbulence. Turbulence: nouveaux aspects by : M. Lesieur
Download or read book New trends in turbulence. Turbulence: nouveaux aspects written by M. Lesieur and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following a longstanding tradition of the Les Houches Summer Schools, this book uses a pedagogically presented and accessible style to treat 2D and 3D turbulence from the experimental, theoretical and computational points of view.
Book Synopsis Stochastic Tools in Turbulence by : John L. Lumley
Download or read book Stochastic Tools in Turbulence written by John L. Lumley and published by Courier Corporation. This book was released on 2007-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering. The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.
Download or read book Turbulence written by Uriel Frisch and published by Cambridge University Press. This book was released on 1995-11-30 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
