# 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 | : 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

## Scientific and Technical Aerospace Reports

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1992 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105008615499 |

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

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

## Proceedings of the NASA First Wake Vortex Dynamic Spacing Workshop

Author | : Leonard Credeur,R. Brad Perry |

Publsiher | : Unknown |

Total Pages | : 614 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : NASA:31769000473432 |

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

**Proceedings of the NASA First Wake Vortex Dynamic Spacing Workshop Book Review:**

## Scientific Information Bulletin

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1993 |

ISBN 10 | : |

ISBN 13 | : UIUC:30112105167933 |

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

**Scientific Information Bulletin Book Review:**

## 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.

## Weakly Compressible Flow Model and Simulations of Vortex shedding Flows about a Circular Cylinder

Author | : Mingshun Yuan |

Publsiher | : Unknown |

Total Pages | : 198 |

Release | : 1988 |

ISBN 10 | : |

ISBN 13 | : MINN:31951002429853V |

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

**Weakly Compressible Flow Model and Simulations of Vortex shedding Flows about a Circular Cylinder Book Review:**

## Basics of Engineering Turbulence

Author | : David Ting |

Publsiher | : Academic Press |

Total Pages | : 256 |

Release | : 2016-02-23 |

ISBN 10 | : 0128039833 |

ISBN 13 | : 9780128039830 |

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

**Basics of Engineering Turbulence Book Review:**

Basics of Engineering Turbulence introduces flow turbulence to engineers and engineering students who have a fluid dynamics background, but do not have advanced knowledge on the subject. It covers the basic characteristics of flow turbulence in terms of its many scales. The author uses a pedagogical approach to help readers better understand the fundamentals of turbulence scales, especially how they are derived through the order of magnitude analysis. This book is intended for those who have an interest in flowing fluids. It provides some background, though of limited scope, on everyday flow turbulence, especially in engineering applications. The book begins with the ‘basics’ of turbulence which is necessary for any reader being introduced to the subject, followed by several examples of turbulence in engineering applications. This overall approach gives readers all they need to grasp both the fundamentals of turbulence and its applications in practical instances. Focuses on the basics of turbulence for applications in engineering and industrial settings Provides an understanding of concepts that are often challenging, such as energy distribution among the turbulent structures, the effective diffusivity, and the theory behind turbulence scales Offers a user-friendly approach with clear-and-concise explanations and illustrations, as well as end-of-chapter problems

## 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.

## Air Pollution Modeling and Its Application VIII

Author | : H. Van Dop,Douw G. Steyn |

Publsiher | : Springer Science & Business Media |

Total Pages | : 789 |

Release | : 1991-07-31 |

ISBN 10 | : 9780306438288 |

ISBN 13 | : 0306438283 |

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

**Air Pollution Modeling and Its Application VIII Book Review:**

In 1949, when the North Atlantic Treaty was ratified, one of its articles explicitly noted '1hat member countries should contribute towards the further development of peaceful and friendly international relations." Specific problems related to the human environment were addressed by the Committee of Challenges of Modern Society (CCMS) of NATO, established in 1969. This provided a framework within which a series of International Technical Meetings (ITMs) on Air Pollution Modelling has been held. This volume documents the proceedings of the 18th meeting in this series. Science, like the arts and sports, provides an ideal vehicle for "developing peaceful and friendly international relations". National boundaries have never been barriers to the movement of air pollution, and fortunately this has also proved true of scientists studying the transport of air pollution. It is thus satisfying to record that since the mid-seventies it has been commonplace to find Eastern European scientists among attendees at the ITMs which have (in a very modest way) participated in a precursor to the process which has led to historical changes in Europe and which will undoubtedly lead to a tremendous increase in personal and intellectual exchange on a worldwide basis.

## Turbulent Flow

Author | : Peter S. Bernard,James M. Wallace |

Publsiher | : John Wiley & Sons |

Total Pages | : 512 |

Release | : 2002-11-14 |

ISBN 10 | : 0471275387 |

ISBN 13 | : 9780471275381 |

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

**Turbulent Flow Book Review:**

Provides unique coverage of the prediction and experimentationnecessary for making predictions. Covers computational fluid dynamics and its relationship todirect numerical simulation used throughout the industry. Covers vortex methods developed to calculate and evaluateturbulent flows. Includes chapters on the state-of-the-art applications ofresearch such as control of turbulence.

## AIAA 73 659 AIAA 73 705 With omissions in numbering

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1973 |

ISBN 10 | : |

ISBN 13 | : PSU:000011909132 |

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

**AIAA 73 659 AIAA 73 705 With omissions in numbering Book Review:**

## International Aerospace Abstracts

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105021091371 |

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

**International Aerospace Abstracts Book Review:**

## Vortex Dynamics

Author | : P. G. Saffman |

Publsiher | : Cambridge University Press |

Total Pages | : 311 |

Release | : 1995-02-24 |

ISBN 10 | : 9780521477390 |

ISBN 13 | : 0521477395 |

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

**Vortex Dynamics Book Review:**

Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.

## Application of the Bernoulli Enthalpy Concept to the Study of Vortex Noise and Jet Impingement Noise

Author | : John E. Yates |

Publsiher | : Unknown |

Total Pages | : 84 |

Release | : 1978 |

ISBN 10 | : |

ISBN 13 | : NASA:31769000501323 |

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

**Application of the Bernoulli Enthalpy Concept to the Study of Vortex Noise and Jet Impingement Noise Book Review:**

## Application of the Bernoulli Enthalpy Concept to the Study of Vortex Noise and Jet Impingment Noise

Author | : John E. Yates |

Publsiher | : Unknown |

Total Pages | : 80 |

Release | : 1978 |

ISBN 10 | : |

ISBN 13 | : UIUC:30112106629121 |

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

**Application of the Bernoulli Enthalpy Concept to the Study of Vortex Noise and Jet Impingment Noise Book Review:**

## Vortex Wakes of Conventional Aircraft

Author | : Coleman duPont Donaldson,Alan J. Bilanin |

Publsiher | : Unknown |

Total Pages | : 79 |

Release | : 1975 |

ISBN 10 | : |

ISBN 13 | : MINN:319510005644939 |

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

**Vortex Wakes of Conventional Aircraft Book Review:**

A review is made of the present state of our knowledge of the vortex wakes of conventional aircraft. Included are discussions of wake rollup, geometry, instability, and turbulent aging. In the light of these discussions, a brief review is made of the persistence of vortices in the atmosphere, and design techniques which might be used to minimize wake hazard are considered.

## Correlations Coherence and Order

Author | : Diana V. Shopova,Dimo I. Uzunov |

Publsiher | : Springer Science & Business Media |

Total Pages | : 364 |

Release | : 1999-04-30 |

ISBN 10 | : 9780306461187 |

ISBN 13 | : 0306461188 |

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

**Correlations Coherence and Order Book Review:**

This volume contains a collection of review articles that are extended versions of invited lectures given at the First Pamporovo Winter Workshop on Cooperative Phe nomena in Condensed Matter held in villa "Orlitza" (7th-15th March 1998, Pamporovo Ski Resort, Bulgaria). Selected research works reported at the Workshop have been published in the Journal of Physical Studies - a new International Journal for research papers in experimental and theoretical physics (Lviv University, Lviv, Ukraine). These reviews are supposed to be status reports and present new insights gained from the rapidly developing research of outstanding problems in condensed matter physics such as structural properties and phase transitions in fullerene crystals, super conductivity ofstrongly interacting electrons in copper oxides, spin polarized Fermi liq uids, chaotic vortex filaments in superfluid turbulent Helium-II, desorption induced by electronic transitions in ionic compounds, fluctuation phenomena in superconductors, and quantum critical phenomena in low dimensional magnets and quantum liquids. We have set the material according to the alphabetic order of authors' names although the high temperature superconductivity seems to be the hard kernel in condensed matter physics. The authors have taken care to present the recent advances in their research in a form which is readable and useful not only to experts in the respective field, but also to young scientists. That is why the lectures include a comprehensive introduction to the matter and also an extended discussion of methodical details.

## Bluff Body Aerodynamics and Its Applications

Author | : Manabu Ito,Masaru Matsumoto,Naruhito Shiraishi |

Publsiher | : Elsevier Science Limited |

Total Pages | : 460 |

Release | : 1990 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105030070994 |

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

**Bluff Body Aerodynamics and Its Applications Book Review:**

With the increasing slenderness and lightness of civil engineering structures such as tower blocks and bridges, wind effects on them have been attracting considerable interest from researchers and design engineers. Since most structures in civil engineering present bluff forms to the wind, the main emphasis of this collection of papers is on bluff body aerodynamics. The flow effects in this case, in addition to turbulence effects in the atmospheric boundary layer illustrate the unique and complex nature of the problems that can be encountered in this field, as opposed to the classical studies in the aeronautical field that influenced the initial development stages of industrial aerodynamics. Selected papers from the colloquium are presented in this volume. The papers offer a comprehensive presentation of the results of the studies made of wind effects on engineering structures. The latest trends in the field are outlined and the results obtained in the solution of topical problems are described.

## Vortex wakes of Aircrafts

Author | : A.S. Ginevsky,A. I. Zhelannikov |

Publsiher | : Springer Science & Business Media |

Total Pages | : 154 |

Release | : 2009-07-07 |

ISBN 10 | : 3642017606 |

ISBN 13 | : 9783642017605 |

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

**Vortex wakes of Aircrafts Book Review:**

Investigation of vortex wakes behind various aircraft, especially behind wide bodied and heavy cargo ones, is of both scientific and practical in terest. The vortex wakes shed from the wing’s trailing edge are long lived and attenuate only atdistances of10–12kmbehindthe wake generating aircraft. The encounter of other aircraft with the vortex wake of a heavy aircraft is open to catastrophic hazards. For example, air refueling is adangerous operationpartly due to thepossibility of the receiver aircraft’s encountering the trailing wake of the tanker aircraft. It is very important to know the behavior of vortex wakes of aircraft during theirtakeoff andlanding operations whenthe wakes canpropagate over the airport’s ground surface and be a serious hazard to other depart ing or arriving aircraft. This knowledge can help in enhancing safety of aircraft’s movements in the terminal areas of congested airports where the threat of vortex encounters limits passenger throughput. Theoreticalinvestigations of aircraft vortex wakes arebeingintensively performedinthe major aviationnations.Usedforthispurpose are various methods for mathematical modeling of turbulent flows: direct numerical simulation based on the Navier–Stokes equations, large eddy simulation using the Navier–Stokes equations in combination with subrigid scale modeling, simulation based on the Reynolds equations closed with a differential turbulence model. These approaches are widely used in works of Russian and other countries’ scientists. It should be emphasized that the experiments in wind tunnels and studies of natural vortex wakes behind heavy and light aircraft in flight experiments are equally important.

## AIAA Journal

Author | : American Institute of Aeronautics and Astronautics |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2008 |

ISBN 10 | : |

ISBN 13 | : UCSD:31822036051662 |

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

**AIAA Journal Book Review:**