Random Functions And Turbulence
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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.
Random Functions And Turbulence
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Author : S. Panchev
language : en
Publisher:
Release Date : 1971
Random Functions And Turbulence written by S. Panchev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Stochastic processes categories.
Turbulence And Random Processes In Fluid Mechanics
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Author : M. T. Landahl
language : en
Publisher: Cambridge University Press
Release Date : 1992-09-25
Turbulence And Random Processes In Fluid Mechanics written by M. T. Landahl 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 1992-09-25 with Mathematics categories.
Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science.
Nonlinear Random Waves And Turbulence In Nondispersive Media
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Author : С. Н Гурбатов
language : ru
Publisher: Manchester University Press
Release Date : 1991
Nonlinear Random Waves And Turbulence In Nondispersive Media written by С. Н Гурбатов and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Nonlinear theories categories.
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.
Turbulence And Random Processes In Fluid Mechanics
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Author : M. T. Landahl
language : en
Publisher: CUP Archive
Release Date : 1987-07-23
Turbulence And Random Processes In Fluid Mechanics written by M. T. Landahl and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-07-23 with Mathematics categories.
Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science. Copyright © Libri GmbH. All rights reserved.
Stochastic Tools In Turbulence
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Author : John L. Lumey
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Stochastic Tools In Turbulence written by John L. Lumey and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
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.
Wave Propagation In A Turbulent Medium
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Author : Valerian Ilich Tatarski
language : en
Publisher: Courier Dover Publications
Release Date : 2016-12-14
Wave Propagation In A Turbulent Medium written by Valerian Ilich Tatarski and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-14 with Science categories.
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
The Theory Of Homogeneous Turbulence
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Author : G. K. Batchelor
language : en
Publisher: Cambridge University Press
Release Date : 1953
The Theory Of Homogeneous Turbulence written by G. K. Batchelor 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 1953 with Mathematics categories.
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.
Turbulence An Odyssey
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Author : Michael Eckert
language : en
Publisher: Springer Nature
Release Date : 2022-02-01
Turbulence An Odyssey written by Michael Eckert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-01 with Science categories.
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.