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.
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 Science 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
Mechanism Of Hairpin Vortex Formation By Liutex
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Author : Yifei Yu
language : en
Publisher: Springer Nature
Release Date :
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 with categories.
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.
Liutex And Statistical Analysis For Fluid Transition
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Author : Charles Matthew Nehemiah Nottage
language : en
Publisher:
Release Date : 2022
Liutex And Statistical Analysis For Fluid Transition written by Charles Matthew Nehemiah Nottage and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Fluid mechanics categories.
A vortex can be intuitively recognized as the rotational swirling motion of the fluids. The fascination of this phenomenon brought about many years of research to define, classify, and identify the vortical structure. Throughout the decades, many vortex identification methods were developed and can be characterized into three generations. The generational methods are vorticity-based, eigenvalue-based such as Q, ??i, and ?2, and Liutex-based. Before the development of Liutex, there was no mathematical definition for vortex.Is Liutex superior to vorticity and the eigenvalue-based methods? Is the vorticity vector the local rotational axis? Should vorticity be considered vortex? In this dissertation, I answer these questions by utilizing dimensional analysis to examine and compare the eigenvalue-based methods with Liutex. Then, an analysis of vector candidates for the local rotational axis is conducted to identify which candidates satisfy the definition of the local rotational axis. Lastly, a statistical analysis of vorticity, Liutex, and shear is performed to show their behavior and relationship in the boundary layer from laminar flow to turbulent flow.The results of these three procedures show that: Out of the four eigenvalue-based methods analyzed, ??i was the only one that was dimensionally consistent with Liutex. The Liutex directional vector was the only candidate that satisfied the definition of the local rotational axis, and vorticity should not be considered vortex as shear highly contaminates it.
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.
Liutex Based And Other Mathematical Computational And Experimental Methods For Turbulence Structure
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Author : Chaoqun Liu
language : en
Publisher: Current Developments in Mathem
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 Current Developments in Mathem 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.
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 Vortex Identification Methods And Their Application In Dns Study Of Flat Plate Boundary Layer Transition
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Author : Pushpa Shrestha
language : en
Publisher:
Release Date : 2022
Liutex Based Vortex Identification Methods And Their Application In Dns Study Of Flat Plate Boundary Layer Transition written by Pushpa Shrestha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Orthogonal decompositions categories.