# Rortex And Its Applications In Turbulence Research

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## Liutex and Its Applications in Turbulence Research

Author | : Chaoqun Liu,Hongyi Xu,Xiaoshu Cai,Yisheng Gao |

Publsiher | : Academic Press |

Total Pages | : 250 |

Release | : 2020-11-13 |

ISBN 10 | : 012819023X |

ISBN 13 | : 9780128190234 |

Language | : EN, FR, DE, ES & NL |

**Liutex and Its Applications in Turbulence Research Book Review:**

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

## Liutex and Its Applications in Turbulence Research

Author | : Chaoqun Liu,Hongyi Xu,Xiaoshu Cai,Yisheng Gao |

Publsiher | : Academic Press |

Total Pages | : 458 |

Release | : 2020-10-29 |

ISBN 10 | : 0128190248 |

ISBN 13 | : 9780128190241 |

Language | : EN, FR, DE, ES & NL |

**Liutex and Its Applications in Turbulence Research Book Review:**

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

## Liutex and Third Generation of Vortex Definition and Identification

Author | : Chaoqun Liu,Yiqian Wang |

Publsiher | : Springer Nature |

Total Pages | : 468 |

Release | : 2021-07-26 |

ISBN 10 | : 3030702170 |

ISBN 13 | : 9783030702175 |

Language | : EN, FR, DE, ES & NL |

**Liutex and Third Generation of Vortex Definition and Identification Book Review:**

This book collects papers presented in the Invited Workshop, “Liutex and Third Generation of Vortex Definition and Identification for Turbulence,” from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference. Liutex is a new physical quantity introduced by Prof. Chaoqun Liu of the University of Texas at Arlington. It is a vector and could give a unique and accurate mathematical definition for fluid rotation or vortex. The papers in this volume include some Liutex theories and many applications in hydrodynamics, aerodynamics and thermal dynamics including turbine machinery. As vortex exists everywhere in the universe, a mathematical definition of vortex or Liutex will play a critical role in scientific research. There is almost no place without vortex in fluid dynamics. As a projection, the Liutex theory will play an important role on the investigations of the vortex dynamics in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, etc. and to the researches of the generation, sustenance, modelling and controlling of turbulence.

## Liutex based and Other Mathematical Computational and Experimental Methods for Turbulence Structure

Author | : Chaoqun Liu,Yisheng Gao |

Publsiher | : Bentham Science Publishers |

Total Pages | : 343 |

Release | : 2020-04-28 |

ISBN 10 | : 9811437580 |

ISBN 13 | : 9789811437588 |

Language | : EN, FR, DE, ES & NL |

**Liutex based and Other Mathematical Computational and Experimental Methods for Turbulence Structure Book Review:**

The knowledge of quantitative turbulence mechanics relies heavily upon the definition of the concept of a vortex in mathematical terms. This reference work introduces the reader to Liutex, which is an accepted, accurate and mathematical definition of a vortex. The core of this book is a compilation of several papers on the subject. presented in the 13th World Congress of Computational Mechanics (WCCM2018), Symposium 704, Mathematics and Computations for Multiscale Structures of Turbulent and Other Complex Flows, New York, United States on July 27, 2018. This compilation also includes other research papers which explain the work done on the vortex definition, vortex identification and turbulence structure from different insight angles including mathematics, computational physics and experiments. The thirteen chapters in this volume will be informative to scientists and engineers who are interested in advanced theories about fluid dynamics, vortex science and turbulence research.

## Quantized Vortex Dynamics and Superfluid Turbulence

Author | : C.F. Barenghi,R.J. Donnelly,W.F. Vinen |

Publsiher | : Springer |

Total Pages | : 458 |

Release | : 2008-01-11 |

ISBN 10 | : 3540455426 |

ISBN 13 | : 9783540455424 |

Language | : EN, FR, DE, ES & NL |

**Quantized Vortex Dynamics and Superfluid Turbulence Book Review:**

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.

## Aircraft Wake Turbulence and Its Detection

Author | : John Olsen |

Publsiher | : Springer Science & Business Media |

Total Pages | : 602 |

Release | : 2012-12-06 |

ISBN 10 | : 1468483463 |

ISBN 13 | : 9781468483468 |

Language | : EN, FR, DE, ES & NL |

**Aircraft Wake Turbulence and Its Detection Book Review:**

The combination of increasing airport congestion and the ad vent of large transports has caused increased interest in aircraft wake turbulence. A quantitative understanding of the interaction between an aircraft and the vortex wake of a preceding aircraft is necessary for planning future high density air traffic patterns and control systems. The nature of the interaction depends on both the characteristics of the following aircraft and the characteristics of the wake. Some of the questions to be answered are: What deter mines the full characteristics of the vortex wake? What properties of the following aircraft are important? What is the role of pilot response? How are the wake characteristics related to the genera ting aircraft parameters? How does the wake disintegrate and where? Many of these questions were addressed at this first Aircraft Wake Turbulence Symposium sponsored by the Air Force Office of Sci entific Research and The Boeing Company. Workers engaged in aero dynamic research, airport operations, and instrument development came from several count ries to present their results and exchange information. The new results from the meeting provide a current picture of the state of the knowledge on vortex wakes and their interactions with other aircraft. Phenomena previously regarded as mere curiosities have emerged as important tools for understanding or controlling vortex wakes. The new types of instability occurring within the wake may one day be used for promoting early dis integration of the hazardous twin vortex structure.

## Scientific and Technical Aerospace Reports

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1994 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : MINN:30000005901339 |

Language | : EN, FR, DE, ES & NL |

**Scientific and Technical Aerospace Reports Book Review:**

## Issues in Aerospace and Defense Research and Application 2011 Edition

Author | : Anonim |

Publsiher | : ScholarlyEditions |

Total Pages | : 383 |

Release | : 2012-01-09 |

ISBN 10 | : 1464966680 |

ISBN 13 | : 9781464966682 |

Language | : EN, FR, DE, ES & NL |

**Issues in Aerospace and Defense Research and Application 2011 Edition Book Review:**

Issues in Aerospace and Defense Research and Application: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Aerospace and Defense Research and Application. The editors have built Issues in Aerospace and Defense Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Aerospace and Defense Research and Application in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Aerospace and Defense Research and Application: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

## Air Force Scientific Research Bibliography 1950 56

Author | : Library of Congress. Science and Technology Division |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1961 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : OSU:32435051670529 |

Language | : EN, FR, DE, ES & NL |

**Air Force Scientific Research Bibliography 1950 56 Book Review:**

## Advances in Turbulence 3

Author | : Arne V. Johansson,P. Henrik Alfredsson |

Publsiher | : Springer Science & Business Media |

Total Pages | : 540 |

Release | : 2012-12-06 |

ISBN 10 | : 3642843999 |

ISBN 13 | : 9783642843990 |

Language | : EN, FR, DE, ES & NL |

**Advances in Turbulence 3 Book Review:**

The book covers the following main topics: turbulence structure, transition, dynamical systems in relation to transition, turbulent combustion and mixing, turbulence affected by body forces, turbulence modeling, drag reduction, and novel experimental techniques.

## Vortex Rings and Jets

Author | : Daniel T. H. New,Simon C. M. Yu |

Publsiher | : Springer |

Total Pages | : 235 |

Release | : 2015-03-26 |

ISBN 10 | : 9812873961 |

ISBN 13 | : 9789812873965 |

Language | : EN, FR, DE, ES & NL |

**Vortex Rings and Jets Book Review:**

In this book, recent developments in our understanding of fundamental vortex ring and jet dynamics will be discussed, with a view to shed light upon their near-field behaviour which underpins much of their far-field characteristics. The chapters provide up-to-date research findings by their respective experts and seek to link near-field flow physics of vortex ring and jet flows with end-applications in mind. Over the past decade, our knowledge on vortex ring and jet flows has grown by leaps and bounds, thanks to increasing use of high-fidelity, high-accuracy experimental techniques and numerical simulations. As such, we now have a much better appreciation and understanding on the initiation and near-field developments of vortex ring and jet flows under many varied initial and boundary conditions. Chapter 1 outlines the vortex ring pinch-off phenomenon and how it relates to the initial stages of jet formations and subsequent jet behaviour, while Chapter 2 takes a closer look at the behaviour resulting from vortex ring impingement upon solid boundaries and how the use of a porous surface alters the impingement process. Chapters 3 and 4 focus upon the formation of synthetic jets from vortex ring structures experimentally and numerically, the challenges in understanding the relationships between their generation parameters and how they can be utilized in flow separation control problems. Chapter 5 looks at the use of imposing selected nozzle trailing-edge modifications to effect changes upon the near-field dynamics associated with circular, noncircular and coaxial jets, with a view to control their mixing behaviour. And last but not least, Chapter 6 details the use of unique impinging jet configurations and how they may lend themselves towards greater understanding and operating efficacies in heat transfer problems. This book will be useful to postgraduate students and researchers alike who wish to get up to speed regarding the latest developments in vortex ring and jet flow behaviour and how their interesting flow dynamics may be put into good use in their intended applications.

## Turbulence Structure and Vortex Dynamics

Author | : J. C. R Hunt,J. C. Vassilicos,J. C. R. Hunt,Department of Applied Mathematics and Theoretical Physics J C Vassilicos,Department of Applied Mathematics and Theoretical Physics J C R Hunt |

Publsiher | : Cambridge University Press |

Total Pages | : 306 |

Release | : 2000 |

ISBN 10 | : 9780521781312 |

ISBN 13 | : 0521781310 |

Language | : EN, FR, DE, ES & NL |

**Turbulence Structure and Vortex Dynamics Book Review:**

Edited volume on turbulence, first published in 2000.

## Adaptive Optics Theory and Its Application in Optical Wireless Communication

Author | : Xizheng Ke,Pengfei Wu |

Publsiher | : Springer Nature |

Total Pages | : 377 |

Release | : 2022-03-23 |

ISBN 10 | : 9811679010 |

ISBN 13 | : 9789811679018 |

Language | : EN, FR, DE, ES & NL |

**Adaptive Optics Theory and Its Application in Optical Wireless Communication Book Review:**

This book introduces in detail the theory of adaptive optics and its correction technology for light wave distortion in wireless optical communication. It discusses the adaptive control algorithm of wavefront distortion, proportional+integral control algorithm and iterative control algorithm, and double fuzzy adaptive PID control algorithm. It also covers the SPGD algorithm of adaptive optics correction, deformable mirrors eigenmode method of wavefront aberration correction, vortex beam wavefront detecting wavefront aberration correction, liquid crystal spatial light modulator wavefront correction, different wavelengths of Gaussian beam transmission wavefront differences in the atmospheric turbulence and correction and with wavefront tilt correction adaptive optics wavefront aberration correction. Various distortion correction methods are verified by experiments and the experimental results are analyzed. This book is suitable for engineering and technical personnel engaged in wireless optical communication, college teachers, graduate students and senior undergraduate students.

## Dynamics of Quantised Vortices in Superfluids

Author | : Edouard B. Sonin |

Publsiher | : Cambridge University Press |

Total Pages | : 432 |

Release | : 2016-02-29 |

ISBN 10 | : 1107006686 |

ISBN 13 | : 9781107006683 |

Language | : EN, FR, DE, ES & NL |

**Dynamics of Quantised Vortices in Superfluids Book Review:**

Draws together all the basic principles of vortex dynamics in neutral superfluids in one comprehensive volume.

## Perspectives in Turbulence Studies

Author | : Hans U. Meier,Peter Bradshaw |

Publsiher | : Springer Science & Business Media |

Total Pages | : 504 |

Release | : 2012-12-06 |

ISBN 10 | : 3642829945 |

ISBN 13 | : 9783642829949 |

Language | : EN, FR, DE, ES & NL |

**Perspectives in Turbulence Studies Book Review:**

The present volume entitled "Perspectives in Turbulence Stud ies" is dedicated to Dr. Ing. E. h. Julius C. Rotta in honour of his 75th birthday. J. C. Rotta, born on January 1, 1912, started his outstanding career in an unusual way, namely in a drawing office (1928 - 1931). At the same time he - as a purely self taught perso- took a correspondence course in airplane construction. From 1934 to 1945 he worked in the aircraft industry on different subjects in the fields of flight mechanics, structures, air craft design, and aerodynamics. In 1945 he moved to Gottingen and worked from that time at the Aerodynamische Versuchsanstalt (AVA, now DFVLR) and the Max-Planck-Institut fur Stromungsforschung (1947-1958), interrupted only by a stay in the U. S. at the Glenn L. Martin Company (1954 - 1955) and a visiting professorship at the Laval University in Quebec, Canada (1956). Already during his activities in industry, Dr. Rotta discovered his special liking for aerodynamics. In Gottingen, he was attracted by Ludwig Prandtl's discussions about problems associated with turbulence and in particular his new contribution to fully developed turbulence, published in 1945. At that time, W. Heisenberg and C. F. v. Weizacker pub lished their results on the energy spectra of isotropic turbu lence at large wave numbers. Since that time his main research interest in reasearch has been in turbulence problems.

## Tubes Sheets and Singularities in Fluid Dynamics

Author | : K. Bajer,H.K. Moffatt |

Publsiher | : Springer Science & Business Media |

Total Pages | : 379 |

Release | : 2003-03-31 |

ISBN 10 | : 1402009801 |

ISBN 13 | : 9781402009808 |

Language | : EN, FR, DE, ES & NL |

**Tubes Sheets and Singularities in Fluid Dynamics Book Review:**

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.

## Engineering Turbulence Modelling and Experiments 5

Author | : W. Rodi,N. Fueyo |

Publsiher | : Elsevier |

Total Pages | : 1028 |

Release | : 2002-08-21 |

ISBN 10 | : 008053094X |

ISBN 13 | : 9780080530949 |

Language | : EN, FR, DE, ES & NL |

**Engineering Turbulence Modelling and Experiments 5 Book Review:**

Turbulence is one of the key issues in tackling engineering flow problems. As powerful computers and accurate numerical methods are now available for solving the flow equations, and since engineering applications nearly always involve turbulence effects, the reliability of CFD analysis depends increasingly on the performance of the turbulence models. This series of symposia provides a forum for presenting and discussing new developments in the area of turbulence modelling and measurements, with particular emphasis on engineering-related problems. The papers in this set of proceedings were presented at the 5th International Symposium on Engineering Turbulence Modelling and Measurements in September 2002. They look at a variety of areas, including: Turbulence modelling; Direct and large-eddy simulations; Applications of turbulence models; Experimental studies; Transition; Turbulence control; Aerodynamic flow; Aero-acoustics; Turbomachinery flows; Heat transfer; Combustion systems; Two-phase flows. These papers are preceded by a section containing 6 invited papers covering various aspects of turbulence modelling and simulation as well as their practical application, combustion modelling and particle-image velocimetry.

## Institute for Computational Mechanics in Propulsion ICOMP

Author | : Charles E. Feiler |

Publsiher | : Unknown |

Total Pages | : 50 |

Release | : 1992 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : NASA:31769000600729 |

Language | : EN, FR, DE, ES & NL |

**Institute for Computational Mechanics in Propulsion ICOMP Book Review:**

## An Introduction To Turbulence

Author | : Paul A. Libby |

Publsiher | : CRC Press |

Total Pages | : 250 |

Release | : 1996-10-01 |

ISBN 10 | : 9781560321002 |

ISBN 13 | : 1560321008 |

Language | : EN, FR, DE, ES & NL |

**An Introduction To Turbulence Book Review:**

Beginning with a description of turbulence, its various manifestations, and a brief history of study, this text also incorporates modern perspectives on turbulence. The text also covers such topics as intermittency and the resultant conditional sampling and averaging of turbulent flows, the role of large scale computation of the fundamental equations of fluid mechanics in providing information on variables, and asymptotic methods which are used to expose important features of turbulent flows. Meaningful exercises are included in every section.

## Advances in Turbulence IV

Author | : F.T. Nieuwstadt |

Publsiher | : Springer Science & Business Media |

Total Pages | : 575 |

Release | : 1993-06-30 |

ISBN 10 | : 9780792322825 |

ISBN 13 | : 0792322827 |

Language | : EN, FR, DE, ES & NL |

**Advances in Turbulence IV Book Review:**

The European Turbulence Conferences have been organized under the auspices of the European Mechanics Committee (Euromech) to provide a forum for discussion and exchange of recent and new results in the field of turbulence. The first conference was organized in Lyon in 1986 with 152 participants. The second and third conferences were held in Berlin (1988) and Stockholm (1990) with 165 and 172 participants respectively. The fourth was organized in Delft from 30 June to 3 July 1992 by the J.M. Burgers Centre. There were 214 participants from 22 countries. This steadily growing number of participants demonstrates both the success and need for this type of conference. The main topics of the Fourth European Turbulence Conference were: Dynamical Systems and Transition; Statistical Physics and Turbulence; Experiments and Novel Experimental Techniques; Particles and Bubbles in Turbulence; Simulation Methods; Coherent Structures; Turbulence Modelling and Compressibility Effects. In addition a special session was held on the subject of CeBular Automata. Each of the sessions was introduced with a survey lecture. The lecturers were: W. Eckhaus, AJ. Libchaber, L. Katgerman, F. Durst, M. Lesieur, B. Legras, D.G. Dritschel and P. Bradshaw. The contributions of the participants were subdivided into oral and poster presentations. In addition to the normal program, some Speciai Interest Groups of Ercoftac (European Research Community on Flow, Turbulence and Combustion) presented their research activities in the form of a poster.