Liutex And Third Generation Of Vortex Definition And Identification
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Liutex And Third Generation Of Vortex Definition And Identification
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Author : Chaoqun Liu
language : en
Publisher: Springer Nature
Release Date : 2021-07-26
Liutex And Third Generation Of Vortex Definition And Identification written by Chaoqun Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-26 with Science categories.
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 And Third Generation Of Vortex Identification
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Author : Yiqian Wang
language : en
Publisher: Springer Nature
Release Date : 2023-03-21
Liutex And Third Generation Of Vortex Identification written by Yiqian Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Science categories.
This proceedings highlights the applications of the newly introduced physical quantity Liutex in hydrodynamics and aerodynamics. Liutex is used to represent the fascinating rotational motion of fluids, i.e., the vortex. Ubiquitously seen in nature and engineering applications, the definition of vortices has been elusive. The Liutex vector provides a unique and systematic description of vortices. The proceedings collects papers presented in the invited workshop "Liutex and Third Generation of Vortex Identification for Engineering Applications" from Aerospace and Aeronautics World Forum 2021. The papers in this book cover both the theoretical aspects of Liutex and many applications in hydrodynamics and aerodynamics. The proceedings is a good reference for researchers in fluid mechanics who are interested in learning about the wide scope of applications of Liutex and using it to develop a new understanding of their research subjects.
Mechanism Of Hairpin Vortex Formation By Liutex
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Author : Yifei Yu
language : en
Publisher: Springer Nature
Release Date : 2024-05-23
Mechanism Of Hairpin Vortex Formation By Liutex written by Yifei Yu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-23 with Science categories.
This book presents the importance of the mechanism of hairpin vortex formation to understanding flow transition, turbulence, and flow control. This book blends direct numerical simulation (DNS) and mathematical analysis with experiments to create a foundation for understanding turbulence. The authors discuss hairpin vortex as a main component of transitional flow and turbulent flow. In addition, Liutex is utilized and described as a theoretical system that presents valid tools for turbulence research. Readers are exposed to understanding 3D and non-linear instability; the Lambda vortex formation; sweeps, ejections, and shear instability; the Kelvin-Helmholtz instability and vortex ring formation; and turbulence generation and sustenance.
Liutex And Its Applications In Turbulence Research
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Author : Chaoqun Liu
language : en
Publisher: Academic Press
Release Date : 2020-10-29
Liutex And Its Applications In Turbulence Research written by Chaoqun Liu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-29 with Technology & Engineering categories.
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
Vortex Simulation And Identification
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Author : Chaoqun Liu
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-01-24
Vortex Simulation And Identification written by Chaoqun Liu and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-24 with Science categories.
This book includes six chapters covering new vortex theories, vortex identification methods, and vortex simulation and applications. Vortices are ubiquitous in the universe and include tornados, hurricanes, airplane tip vortices, polar vortices, and even star vortices in the galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. This book is useful for researchers in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, and more. It is also useful for research on the generation, sustenance, modeling, and controlling of turbulence.
Proceedings Of The Vortex Workshop
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Author : Yiqian Wang
language : en
Publisher: Springer Nature
Release Date : 2024-11-15
Proceedings Of The Vortex Workshop written by Yiqian Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Science categories.
Written by the leading experts in the field, this book results from Vortex Workshop 2023 which took place in San Diego, the USA, on December 11–13. Vortex is ubiquitous in the universe such as tornado, hurricane, airplane tip vortex, and even star vortex in Galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. A vortex is intuitively recognized as a rotational/swirling motion of fluids but until recently had no rigidly mathematical definition. In 1858, Helmholtz first defined vortex as composed of so-called vortex filaments, which are infinitesimal vorticity tubes, which is called as the first generation of vortex definition and identification, or G1. Although G1 has been accepted by the fluid dynamics community and almost all textbooks for over a century, we can find many immediate counterexamples, for example, in the laminar boundary layer, where the vorticity (shear) is very large near the wall, but not rotation (no vortex) exists. To solve these contradictions, many vortex criteria methods have been developed during the past 4 decades. More popular methods are represented by the Q, ∆, criteria methods. These methods have achieved part of success in vortex identification, which are called the second generation of vortex identification or G2. However, G2 has several critical drawbacks. First, they are all scalars which have no rotation axis directions, but vortex is a vector. It is hard or impossible to use a scalar to represent a vector. Second, like vorticity, these criteria methods are all contaminated by shear in different degrees. Third, they are all very sensitive on threshold selections. The recently developed Liutex is called the third generation of vortex definition and identification, or G3, which is a uniquely defined vector.
13th Chaotic Modeling And Simulation International Conference
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Author : Christos H. Skiadas
language : en
Publisher: Springer Nature
Release Date : 2021-12-14
13th Chaotic Modeling And Simulation International Conference written by Christos H. Skiadas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Mathematics categories.
Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Liutex Based And Other Mathematical Computational And Experimental Methods For Turbulence Structure
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Author : Chaoqun Liu
language : en
Publisher: Bentham Science Publishers
Release Date : 2020-04-28
Liutex Based And Other Mathematical Computational And Experimental Methods For Turbulence Structure written by Chaoqun Liu and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-28 with Science categories.
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.
Computational Fluid Dynamics
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Author : Jiyuan Tu
language : en
Publisher: Elsevier
Release Date : 2023-05-09
Computational Fluid Dynamics written by Jiyuan Tu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-09 with Science categories.
Computational Fluid Dynamics: A Practical Approach, Fourth Edition is an introduction to computational fluid dynamics (CFD) fundamentals and commercial CFD software to solve engineering problems. The book is designed for a wide variety of engineering students new to CFD, but is also ideal for practicing engineers learning CFD for the first time. Combining an appropriate level of mathematical background, worked examples, computer screen shots, and step-by-step processes, this book walks the reader through modeling and computing, as well as interpreting CFD results. This new edition has been updated throughout, with new content and improved figures, examples and problems. - Updated throughout, with new case studies, examples, references, and corrections according to readers' and reviewers' feedback - Delivers the latest developments in CFD including the high-order and reduced-order modeling approach, machine learning–accelerated CFD, full coverage of high-speed fluid dynamics, and the meshless approaches to provide a broader overview of the application areas where CFD can be used - Reorganized and rewritten to better meet the needs of CFD instructors and students - Online resources include all lecturing and guest lecturing PPTs, computer lab practicing with step-by-step and screenshot guidelines, assignment and course project details, answers for review questions in each chapter, a new bonus chapter featuring detailed case studies, and result discussion
Vortex Flow In Nature And Technology
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Author : Hans J. Lugt
language : en
Publisher: Wiley-Interscience
Release Date : 1983
Vortex Flow In Nature And Technology written by Hans J. Lugt and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.