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Author : Henry William Wyld
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.E/5 ( download)
Download or read book Formulation of the Theory of Turbulence in an Incompressible Fluid written by Henry William Wyld and published by . This book was released on 1961 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. W Wyld (Jr)
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (227 download)
Download or read book Formulation of the Theory of Turbulence in an Incompressible Fluid written by H. W Wyld (Jr) and published by . This book was released on 1961 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of turbulence in an incompressible fluid is formulated using methods similar to those of quantum field theory. A systematic perturbation theory is set up, and the terms in the perturbation series are shown to be in one to one correspondence with certain diagrams analogous to Feynman diagrams. From a study of the diagrams it is shown that the perturbation series can be rearranged and partially summed in such a way as to reduce the problem to the solution of three simultaneous integral equations for three functions, one of which is the second order velocity correlation function. The equations have the form of infinite power series integral equations, and the first few terms in the power series are derived from an analysis of the diagrams to sixth order. Truncation of the integral equations at the lowest nontrivial order yields Chandrasekhar's equation, and truncation at a higher order yields the equations discussed by Kraichnan. (Author).
Author : Lawrence L. Lee
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (494 download)
Download or read book A Formulation of the Theory of Isotropic Hydromagnetic Turbulence in an Incompressible Fluid written by Lawrence L. Lee and published by . This book was released on 1964 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Cannon
Publisher : CRC Press
ISBN 13 : 1420014978
Total Pages : 209 pages
Book Rating : 4.4/5 (2 download)
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
Author : Hermann Haken
Publisher : Springer Science & Business Media
ISBN 13 : 3642963633
Total Pages : 325 pages
Book Rating : 4.6/5 (429 download)
Download or read book Synergetics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The spontaneous formation of well organized structures out of germs or even out of chaos is one of the most fascinating phenomena and most challenging problems scientists are confronted with. Such phenomena are an experience of our daily life when we observe the growth of plants and animals. Thinking of much larger time scales, scientists are led into the problems of evolution, and, ultimately, of the origin of living matter. When we try to explain or understand in some sense these extremely complex biological phenomena it is a natural question, whether pro cesses of self-organization may be found in much simpler systems of the un animated world. In recent years it has become more and more evident that there exist numerous examples in physical and chemical systems where well organized spatial, temporal, or spatio-temporal structures arise out of chaotic states. Furthermore, as in living of these systems can be maintained only by a flux of organisms, the functioning energy (and matter) through them. In contrast to man-made machines, which are to exhibit special structures and functionings, these structures develop spon devised It came as a surprise to many scientists that taneously-they are self-organizing. numerous such systems show striking similarities in their behavior when passing from the disordered to the ordered state. This strongly indicates that the function of such systems obeys the same basic principles. In our book we wish to explain ing such basic principles and underlying conceptions and to present the mathematical tools to cope with them.
Author : G. K. Batchelor
Publisher : Cambridge University Press
ISBN 13 : 9780521041171
Total Pages : 216 pages
Book Rating : 4.0/5 (411 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (317 download)
Download or read book Formulation and Closure of Compressible Turbulence Equations in the Light of Kinetic Theory written by and published by . This book was released on 1976 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Kollmann
Publisher : Springer Nature
ISBN 13 : 3031595785
Total Pages : 848 pages
Book Rating : 4.0/5 (315 download)
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. . .
Author : P. A. Durbin
Publisher : John Wiley & Sons
ISBN 13 : 1119957524
Total Pages : 347 pages
Book Rating : 4.1/5 (199 download)
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.
Author : Martin Oberlack
Publisher : Springer
ISBN 13 : 3709125642
Total Pages : 377 pages
Book Rating : 4.7/5 (91 download)
Download or read book Theories of Turbulence written by Martin Oberlack and published by Springer. This book was released on 2014-05-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "turbulence” is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.
Author : László Könözsy
Publisher : Springer
ISBN 13 : 3030135438
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)
Download or read book A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows written by László Könözsy and published by Springer. This book was released on 2019-02-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.
Author : Marcel Lesieur
Publisher : Springer Science & Business Media
ISBN 13 : 1402064357
Total Pages : 593 pages
Book Rating : 4.4/5 (2 download)
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.
Author : William Layton
Publisher : SIAM
ISBN 13 : 0898718902
Total Pages : 220 pages
Book Rating : 4.8/5 (987 download)
Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton and published by SIAM. This book was released on 2008-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Author : A. Tsinober
Publisher : Springer Science & Business Media
ISBN 13 : 030648384X
Total Pages : 344 pages
Book Rating : 4.3/5 (64 download)
Download or read book An Informal Introduction to Turbulence written by A. Tsinober and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Turbulence by ARKADY TSINOBER Department of Fluid Mechanics, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBookISBN: 0-306-48384-X Print ISBN: 1-4020-0110-X ©2004 Kluwer Academic Publishers NewYork, Boston, Dordrecht, London, Moscow Print ©2001 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook maybe reproducedor transmitted inanyform or byanymeans, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://kluweronline. com and Kluwer's eBookstoreat: http://ebooks. kluweronline. com TO My WITS TABLE OF CONTENTS 1 INTRODUCTION 1 Brief history 1 1. 1 1. 2 Nature and major qualitative universal features of turbulent flows 2 1. 2. 1 Representative examples of turbulent flows 2 1. 2. 2 In lieu of definition: major qualitative universal f- tures of turbulent flows 15 1. 3 Why turbulence is so impossibly difficult? The three N's 19 On the Navier-Stokes equations 19 1. 3. 1 1. 3. 2 On the nature of the problem 21 1. 3. 3 Nonlinearity 22 1. 3. 4 Noninegrability 22 Nonlocality 1. 3. 5 23 1. 3. 6 On physics of turbulence 24 1. 3. 7 On statistical theories 24 1. 4 Outline of the following material 25 1. 5 In lieu of summary 26 2 ORIGINS OF TURBULENCE 27 2. 1 Instability 27 2. 2 Transition to turbulence versus routes to chaos 29 2.
Author : Z.U.A. Warsi
Publisher : CRC Press
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.3/5 (91 download)
Download or read book Fluid Dynamics written by Z.U.A. Warsi and published by CRC Press. This book was released on 1993 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Dynamics presents the basic development of equations in coordinate-invariant form and their use in solving problems in laminar and turbulent flows. This book presents a thorough examination of fluid dynamics by combining fundamental principles with systematic, mathematical, and computational approaches.
Author : Léon Agostini
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (319 download)
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.
Author : Thomas B. Gatski
Publisher : Academic Press
ISBN 13 : 012397318X
Total Pages : 343 pages
Book Rating : 4.1/5 (239 download)
Download or read book Compressibility, Turbulence and High Speed Flow written by Thomas B. Gatski and published by Academic Press. This book was released on 2013-03-05 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compressibility, Turbulence and High Speed Flow introduces the reader to the field of compressible turbulence and compressible turbulent flows across a broad speed range, through a unique complimentary treatment of both the theoretical foundations and the measurement and analysis tools currently used. The book provides the reader with the necessary background and current trends in the theoretical and experimental aspects of compressible turbulent flows and compressible turbulence. Detailed derivations of the pertinent equations describing the motion of such turbulent flows is provided and an extensive discussion of the various approaches used in predicting both free shear and wall bounded flows is presented. Experimental measurement techniques common to the compressible flow regime are introduced with particular emphasis on the unique challenges presented by high speed flows. Both experimental and numerical simulation work is supplied throughout to provide the reader with an overall perspective of current trends. An introduction to current techniques in compressible turbulent flow analysis An approach that enables engineers to identify and solve complex compressible flow challenges Prediction methodologies, including the Reynolds-averaged Navier Stokes (RANS) method, scale filtered methods and direct numerical simulation (DNS) Current strategies focusing on compressible flow control
