Vorticity And Turbulence

Author : Alexandre J. Chorin
Publisher : Springer Science & Business Media
Page : 181 pages
File Size : 45,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781441987280

Get Book

Vorticity and Turbulence by Alexandre J. Chorin Pdf

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.

Author : Alexandre Joel Chorin
Publisher : Unknown
Page : 174 pages
File Size : 41,5 Mb
Release : 1998
Category : Fluid mechanics
ISBN : OCLC:223103852

Get Book

Vorticity and Turbulence by Alexandre Joel Chorin Pdf

Author : 肖兰
Publisher : 清华大学出版社有限公司
Page : 190 pages
File Size : 45,5 Mb
Release : 2005
Category : Fluid mechanics
ISBN : 730210204X

Get Book

旋度与湍流(天元基金影印系列丛书) by 肖兰 Pdf

Author : C.F. Barenghi,R.J. Donnelly,W.F. Vinen
Publisher : Springer
Page : 458 pages
File Size : 55,7 Mb
Release : 2008-01-11
Category : Technology & Engineering
ISBN : 9783540455424

Get Book

Quantized Vortex Dynamics and Superfluid Turbulence by C.F. Barenghi,R.J. Donnelly,W.F. Vinen Pdf

This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.

Author : Jie-Zhi Wu,Hui-yang Ma,M.-D. Zhou
Publisher : Springer Science & Business Media
Page : 776 pages
File Size : 47,9 Mb
Release : 2007-04-20
Category : Technology & Engineering
ISBN : 9783540290285

Get Book

Vorticity and Vortex Dynamics by Jie-Zhi Wu,Hui-yang Ma,M.-D. Zhou Pdf

This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.

Author : Maurizio Brocchini,Filippo Trivellato
Publisher : WIT Press
Page : 305 pages
File Size : 44,8 Mb
Release : 2006
Category : Science
ISBN : 9781845640521

Get Book

Vorticity and Turbulence Effects in Fluid Structure Interaction by Maurizio Brocchini,Filippo Trivellato Pdf

This book contains a collection of 11 research and review papers which have been contributed by each research unit joining the MIUR funded project: "Influence of vorticity and turbulence in interactions of water bodies with their boundary elements and effects on hydraulic design". The book features state-of-the-art Italian research devoted to the topic of fluid-structure interaction.

Author : J. C. Vassilicos,J. C. R. Hunt
Publisher : Cambridge University Press
Page : 326 pages
File Size : 47,8 Mb
Release : 2000
Category : Mathematics
ISBN : 0521781310

Get Book

Turbulence Structure and Vortex Dynamics by J. C. Vassilicos,J. C. R. Hunt Pdf

Edited volume on turbulence, first published in 2000.

Author : Chaoqun Liu,Hongyi Xu,Xiaoshu Cai,Yisheng Gao
Publisher : Academic Press
Page : 458 pages
File Size : 53,9 Mb
Release : 2020-10-29
Category : Science
ISBN : 9780128190241

Get Book

Liutex and Its Applications in Turbulence Research by Chaoqun Liu,Hongyi Xu,Xiaoshu Cai,Yisheng Gao Pdf

Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and explains their applications in flow transition, turbulent flow, flow control, and turbulent flow experiments. The book explains the term "Rortex" as a mathematically defined rigid rotation of fluids or vortex, which could help solve many longstanding problems in turbulence research. The accurate mathematical definition of the vortex is important in a range of industrial contexts, including aerospace, turbine machinery, combustion, and electronic cooling systems, so there are many areas of research that can benefit from the innovations described here. This book provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence. Important theory and methodologies used for developing these laws are described in detail, including: the classification of the conventional turbulent boundary layer concept based on proper velocity scaling; the methodology for identification of the scales of velocity, temperature, and length needed to establish the law; and the discovery, proof, and strict validations of the laws, with both Reynolds and Prandtl number independency properties using DNS data. The establishment of these statistical laws is important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence. Provides an accurate mathematical definition of vortices Provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence Explains the term “Rortex as a mathematically defined rigid rotation of fluids or vortex Covers the statistical laws important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence

Author : K. Bajer,H.K. Moffatt
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 40,6 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306484209

Get Book

Tubes, Sheets and Singularities in Fluid Dynamics by K. Bajer,H.K. Moffatt Pdf

Modern experiments and numerical simulations show that the long-known coherent structures in turbulence take the form of elongated vortex tubes and vortex sheets. The evolution of vortex tubes may result in spiral structures which can be associated with the spectral power laws of turbulence. The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity. Whether this process may or may not lead to a finite-time singularity is one of the famous open problems of fluid dynamics. This book contains the proceedings of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers presented, carefully reviewed by the International Scientific Committee, cover various aspects of the dynamics of vortex tubes and sheets and of their analogues in magnetohydrodynamics and in quantum turbulence. The book should be a useful reference for all researchers and students of modern fluid dynamics.

Author : P. A. Davidson
Publisher : Cambridge University Press
Page : 701 pages
File Size : 55,5 Mb
Release : 2013-09-12
Category : Science
ISBN : 9781107434349

Get Book

Turbulence in Rotating, Stratified and Electrically Conducting Fluids by P. A. Davidson Pdf

There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows.

Author : Jean Mathieu,Julian Scott
Publisher : Cambridge University Press
Page : 388 pages
File Size : 42,9 Mb
Release : 2000-06-26
Category : Science
ISBN : 0521775388

Get Book

An Introduction to Turbulent Flow by Jean Mathieu,Julian Scott Pdf

Most natural and industrial flows are turbulent. The atmosphere and oceans, automobile and aircraft engines, all provide examples of this ubiquitous phenomenon. In recent years, turbulence has become a very lively area of scientific research and application, attracting many newcomers who need a basic introduction to the subject. An Introduction to Turbulent Flow, first published in 2000, offers a solid grounding in the subject of turbulence, developing both physical insight and the mathematical framework needed to express the theory. It begins with a review of the physical nature of turbulence, statistical tools, and space and time scales of turbulence. Basic theory is presented next, illustrated by examples of simple turbulent flows and developed through classical models of jets, wakes, and boundary layers. A deeper understanding of turbulence dynamics is provided by spectral analysis and its applications. The final chapter introduces the numerical simulation of turbulent flows. This well-balanced text will interest graduate students in engineering, applied mathematics, and the physical sciences.

Author : Jie-Zhi Wu,Hui-Yang Ma,Ming-De Zhou
Publisher : Springer
Page : 446 pages
File Size : 54,5 Mb
Release : 2015-06-23
Category : Technology & Engineering
ISBN : 9783662470619

Get Book

Vortical Flows by Jie-Zhi Wu,Hui-Yang Ma,Ming-De Zhou Pdf

This book is a comprehensive and intensive book for graduate students in fluid dynamics as well as scientists, engineers and applied mathematicians. Offering a systematic introduction to the physical theory of vortical flows at graduate level, it considers the theory of vortical flows as a branch of fluid dynamics focusing on shearing process in fluid motion, measured by vorticity. It studies vortical flows according to their natural evolution stages,from being generated to dissipated. As preparation, the first three chapters of the book provide background knowledge for entering vortical flows. The rest of the book deals with vortices and vortical flows, following their natural evolution stages. Of various vortices the primary form is layer-like vortices or shear layers, and secondary but stronger form is axial vortices mainly formed by the rolling up of shear layers. Problems are given at the end of each chapter and Appendix, some for helping understanding the basic theories, and some involving specific applications; but the emphasis of both is always on physical thinking.

Author : A. Tsinober
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 48,6 Mb
Release : 2001-11-30
Category : Science
ISBN : 9781402001109

Get Book

An Informal Introduction to Turbulence by A. Tsinober Pdf

This book is an informal introduction to the turbulence of fluids. The emphasis is placed on turbulence as a physical phenomenon. It addresses the unresolved issues, misconceptions, controversies, and major problems of the turbulence of fluids rather than the conventional formalistic elements and models. Little use is made of complicated formalisms; instead the emphasis is placed on an essentially informal qualitative form. The scope of the book is focused on the purely basic aspects of the turbulent flows of incompressible fluids. This book will certainly be of interest and use to graduate students as well as scientists active in fields where the turbulence of fluids is of importance. The book is intentionally written to appeal to a broad readership with the aim of making the turbulence of fluids interesting and comprehensible to the interested engineer.

Author : Carlo Barenghi,Yuri Sergeev
Publisher : Springer Science & Business Media
Page : 293 pages
File Size : 46,5 Mb
Release : 2009-07-25
Category : Technology & Engineering
ISBN : 9783211094471

Get Book

Vortices and Turbulence at Very Low Temperatures by Carlo Barenghi,Yuri Sergeev Pdf

Recent investigations have highlighted the similarities between turbulence in cryogenic fluids at temperatures close to absolute zero, in particular superfluid helium, and turbulence in ordinary fluids. This book contains lectures on various theoretical and experimental aspects of the problem given by experts at the advanced school “Vortices and Turbulence at Low Temperatures” held at CISM, Udine, in the summer of 2007. The lectures provide an introduction into this rapidly expanding area of research. The book is suitable to PhD students and young researchers starting their career as well as established researchers in either low temperature physics or fluid mechanics who are interested in this problem.

Author : O. Métais,Marcel Lesieur
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 55,5 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9789401579049

Get Book

Turbulence and Coherent Structures by O. Métais,Marcel Lesieur Pdf

In the last 25 years, one of the most striking advances in Fluid Mecha nics was certainly the discovery of coherent structures in turbulence: lab oratory experiments and numerical simulations have shown that most turbulent flows exhibit both spatially-organized large-scale structures and disorganized motions, generally at smaller scales. The develop ment of new measurement and visualization techniques have allowed a more precise characterization and investigation of these structures in the laboratory. Thanks to the unprecedented increase of computer power and to the development of efficient interactive three-dimensional colour graphics, computational fluid dynamicists can explore the still myste rious world of turbulence. However, many problems remain unsolved concerning the origin of these structures, their dynamics, and their in teraction with the disorganized motions. In this book will be found the latest results of experimentalists, theoreticians and numerical modellers interested in these topics. These coherent structures may appear on airplane wings or slender bodies, mixing layers, jets, wakes or boundary-layers. In free-shear flows and in boundary layers, the results presented here highlight the intense three-dimensional character of the vortices. The two-dimensional large scale eddies are very sensitive to three-dimensional perturbations, whose amplification leads to the formation of three-dimensional coherent vorti cal structures, such as streamwise, hairpin or horseshoe vortex filaments. This book focuses on modern aspects of turbulence study. Relations between turbulence theory and optimal control theory in mathematics are discussed. This may have important applications with regard to, e. g. , numerical weather forecasting.