The Mathematical Theory of Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 1468402633
Total Pages : 444 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Mathematical Theory of Turbulence by : M.M. Stanisic

Download or read book The Mathematical Theory of Turbulence written by M.M. Stanisic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: "I do not think at all that I am able to present here any procedure of investiga tion that was not perceived long ago by aZl men of talent; and I do not promise at all that you can find here anything quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by able men, who in most cases are not even conscious of follow ing them. Although I am free from illusion that I shall fully succeed even in doing this, I stiZl hope that the little that is present here may please some people and have some application afterwards. " Bernard Balzano (Wissenschaftslehre, 1929) The following book results from a series of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account viii of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester.

The Kolmogorov-Obukhov Theory of Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 1461462622
Total Pages : 117 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Kolmogorov-Obukhov Theory of Turbulence by : Bjorn Birnir

Download or read book The Kolmogorov-Obukhov Theory of Turbulence written by Bjorn Birnir and published by Springer Science & Business Media. This book was released on 2013-01-31 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​​​​​​​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.

Mathematical and Physical Theory of Turbulence, Volume 250

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Author :
Publisher : CRC Press
ISBN 13 : 1420014978
Total Pages : 209 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mathematical and Physical Theory of Turbulence, Volume 250 by : John Cannon

Download or read book Mathematical and Physical Theory of Turbulence, Volume 250 written by John Cannon and published by CRC Press. This book was released on 2006-06-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together ex

Navier-Stokes Equations and Turbulence

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Publisher : Cambridge University Press
ISBN 13 : 1139428993
Total Pages : 363 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Navier-Stokes Equations and Turbulence by : C. Foias

Download or read book Navier-Stokes Equations and Turbulence written by C. Foias and published by Cambridge University Press. This book was released on 2001-08-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.

The Mathematical Theory of Turbulence

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461238404
Total Pages : 518 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Mathematical Theory of Turbulence by : M.M. Stanisic

Download or read book The Mathematical Theory of Turbulence written by M.M. Stanisic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: "I do not think at all that I am able to present here any procedure of investiga tion that was not perceived long ago by all men of talent; and I do not promise at all that you can find here anything_ quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by ahle men, who in most cases are not even conscious of foZlow ing them. Although I am free from illusion that I shall fully succeed even in doing this, I still hope that the little that is present here may please some people and have some application afterwards. " Bernard Bolzano (Wissenschaftslehre, 1929) The following book results from aseries of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give to engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account vii i of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester.

Vorticity and Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 1441987282
Total Pages : 181 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Vorticity and Turbulence by : Alexandre J. Chorin

Download or read book Vorticity and Turbulence written by Alexandre J. Chorin and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.

Navier-Stokes Turbulence

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Author :
Publisher : Springer Nature
ISBN 13 : 3031595785
Total Pages : 848 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Navier-Stokes Turbulence by : Wolfgang Kollmann

Download or read book Navier-Stokes Turbulence written by Wolfgang Kollmann and published by Springer Nature. This book was released on 2024 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated/augmented second edition retains it class-tested content and pedagogy as a core text for graduate courses in advanced fluid mechanics and applied science. The new edition adds revised sections, clarification, problems, and chapter extensions including a rewritten section on Schauder bases for turbulent pipe flow, coverage of Cantwell’s mixing length closure for turbulent pipe flow, and a section on the variational Hessian. Consisting of two parts, the first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. The second segment, presented over subsequent chapters, is devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition. Adds section on Plancherel’s theorem and a detailed problem on analytic solution of functional differential equations; Extends chapter nine on characteristic functionals to greater explain the role of convection; Reinforces concepts with problems on the theory and particular examples of turbulent flows such as periodic pipe flow. . .

Mathematics of Large Eddy Simulation of Turbulent Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540263166
Total Pages : 378 pages
Book Rating : 4.2/5 (631 download)

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Book Synopsis Mathematics of Large Eddy Simulation of Turbulent Flows by : Luigi Carlo Berselli

Download or read book Mathematics of Large Eddy Simulation of Turbulent Flows written by Luigi Carlo Berselli and published by Springer Science & Business Media. This book was released on 2006 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field

The Theories of Turbulence

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Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (319 download)

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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.

The Mathematical Theory of Turbulence

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Publisher :
ISBN 13 : 9783540961079
Total Pages : 429 pages
Book Rating : 4.9/5 (61 download)

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Book Synopsis The Mathematical Theory of Turbulence by : M. M. Stanisic

Download or read book The Mathematical Theory of Turbulence written by M. M. Stanisic and published by . This book was released on 1985-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Attractors Representing Turbulent Flows

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821860519
Total Pages : 84 pages
Book Rating : 4.8/5 (65 download)

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Book Synopsis Attractors Representing Turbulent Flows by : Peter Constantin

Download or read book Attractors Representing Turbulent Flows written by Peter Constantin and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Theory and Modeling for Turbulent Flows

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119957524
Total Pages : 347 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Statistical Theory and Modeling for Turbulent Flows by : P. A. Durbin

Download or read book Statistical Theory and Modeling for Turbulent Flows written by P. A. Durbin and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to become a knowledgeable user of turbulence models; it develops analytical tools for developers of predictive tools. Thoroughly revised and updated, this second edition includes a new fourth section covering DNS (direct numerical simulation), LES (large eddy simulation), DES (detached eddy simulation) and numerical aspects of eddy resolving simulation. In addition to its role as a guide for students, Statistical Theory and Modeling for Turbulent Flows also is a valuable reference for practicing engineers and scientists in computational and experimental fluid dynamics, who would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation. Provides an excellent foundation to the fundamental theoretical concepts in turbulence. Features new and heavily revised material, including an entire new section on eddy resolving simulation. Includes new material on modeling laminar to turbulent transition. Written for students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences. Accompanied by a website housing solutions to the problems within the book.

The Statistical Dynamics of Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 3662104113
Total Pages : 145 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Statistical Dynamics of Turbulence by : Jovan Jovanovic

Download or read book The Statistical Dynamics of Turbulence written by Jovan Jovanovic and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short but complicated book is very demanding of any reader. The scope and style employed preserve the nature of its subject: the turbulence phe nomena in gas and liquid flows which are believed to occur at sufficiently high Reynolds numbers. Since at first glance the field of interest is chaotic, time-dependent and three-dimensional, spread over a wide range of scales, sta tistical treatment is convenient rather than a description of fine details which are not of importance in the first place. When coupled to the basic conserva tion laws of fluid flow, such treatment, however, leads to an unclosed system of equations: a consequence termed, in the scientific community, the closure problem. This is the central and still unresolved issue of turbulence which emphasizes its chief peculiarity: our inability to do reliable predictions even on the global flow behavior. The book attempts to cope with this difficult task by introducing promising mathematical tools which permit an insight into the basic mechanisms involved. The prime objective is to shed enough light, but not necessarily the entire truth, on the turbulence closure problem. For many applications it is sufficient to know the direction in which to go and what to do in order to arrive at a fast and practical solution at minimum cost. The book is not written for easy and attractive reading.

New Approaches and Concepts in Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764329242
Total Pages : 450 pages
Book Rating : 4.3/5 (292 download)

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Book Synopsis New Approaches and Concepts in Turbulence by : T. Dracos

Download or read book New Approaches and Concepts in Turbulence written by T. Dracos and published by Springer Science & Business Media. This book was released on 1993-09-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of a colloquium held in Monte Verità from September 9-13, 1991. Special care has been taken to devote adequate space to the scientific discussions, which claimed about half of the time available. Scientists from all over the world presented their views on the importance of kinematic properties, topology and fractal geometry, and on the dynamic behaviour of turbulent flows. They debated the importance of coherent structures and the possibility to incorporate these in the statistical theory of turbulence, as well as their significance for the reduction of the degrees of freedom and the prospective of dynamical systems and chaos approaches to the problem of turbulence. Also under discussion was the relevance of these new approaches to the study of the instability and the origin of turbulence, and the importance of numerical and physical experiments in improving the understanding of turbulence.

The Theory of Homogeneous Turbulence

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Publisher : Cambridge University Press
ISBN 13 : 9780521041171
Total Pages : 216 pages
Book Rating : 4.0/5 (411 download)

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Book Synopsis The Theory of Homogeneous Turbulence by : G. K. Batchelor

Download or read book The Theory of Homogeneous Turbulence written by G. K. Batchelor and published by Cambridge University Press. This book was released on 1953 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662046709
Total Pages : 529 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Foundations of Fluid Dynamics by : Giovanni Gallavotti

Download or read book Foundations of Fluid Dynamics written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. It is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics.

Fundamental Problematic Issues in Turbulence

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Publisher : Birkhäuser
ISBN 13 : 3034886896
Total Pages : 464 pages
Book Rating : 4.0/5 (348 download)

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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.