Random Functions and Turbulence

Random Functions and Turbulence

Author: S. Panchev

Publisher: Elsevier

Published: 2016-10-27

Total Pages: 459

ISBN-13: 148314559X

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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 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.


Random Functions and Turbulence

Random Functions and Turbulence

Author: S. Panchev

Publisher:

Published: 1971

Total Pages: 444

ISBN-13: 9780080158266

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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 . This book was released on 1971 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Turbulence and Random Processes in Fluid Mechanics

Turbulence and Random Processes in Fluid Mechanics

Author: M. T. Landahl

Publisher: Cambridge University Press

Published: 1992-09-25

Total Pages: 184

ISBN-13: 9780521422130

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Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science.


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.


Turbulence and Random Processes in Fluid Mechanics

Turbulence and Random Processes in Fluid Mechanics

Author: M. T. Landahl

Publisher: CUP Archive

Published: 1987-07-23

Total Pages: 164

ISBN-13: 9780521346870

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Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science. Copyright © Libri GmbH. All rights reserved.


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 CUP Archive. This book was released on 1987-07-23 with total page 164 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. Copyright © Libri GmbH. All rights reserved.


Wave Propagation in a Turbulent Medium

Wave Propagation in a Turbulent Medium

Author: Valerian Ilich Tatarski

Publisher: Courier Dover Publications

Published: 2016-12-14

Total Pages: 305

ISBN-13: 0486810291

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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 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


Nonlinear Random Waves and Turbulence in Nondispersive Media

Nonlinear Random Waves and Turbulence in Nondispersive Media

Author: С. Н Гурбатов

Publisher: Manchester University Press

Published: 1991

Total Pages: 334

ISBN-13: 9780719032752

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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:


Turbulence—an Odyssey

Turbulence—an Odyssey

Author: Michael Eckert

Publisher: Springer Nature

Published: 2022-02-01

Total Pages: 213

ISBN-13: 3030914593

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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.


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.


Turbulence

Turbulence

Author: Uriel Frisch

Publisher: Cambridge University Press

Published: 1995-11-30

Total Pages: 318

ISBN-13: 1139935976

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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 by : Uriel Frisch

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.


Stochastic Tools in Turbulence

Stochastic Tools in Turbulence

Author: John L. Lumley

Publisher: Courier Corporation

Published: 2007-01-01

Total Pages: 210

ISBN-13: 0486462706

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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.


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.


Turbulence in Fluids

Turbulence in Fluids

Author: Marcel Lesieur

Publisher: Springer Science & Business Media

Published: 2008-03-26

Total Pages: 593

ISBN-13: 1402064357

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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 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.