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Liutex and Its Applications in Turbulence Research

Liutex and Its Applications in Turbulence Research PDF Author: Chaoqun Liu
Publisher: Academic Press
ISBN: 0128190248
Category : Science
Languages : en
Pages : 458

Book Description
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

Liutex and Its Applications in Turbulence Research PDF Author: Chaoqun Liu
Publisher: Academic Press
ISBN: 0128190248
Category : Science
Languages : en
Pages : 458

Book Description
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-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure

Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure PDF Author: Chaoqun Liu
Publisher: Bentham Science Publishers
ISBN: 9811437580
Category : Science
Languages : en
Pages : 343

Book Description
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 and Third Generation of Vortex Definition and Identification

Liutex and Third Generation of Vortex Definition and Identification PDF Author: Chaoqun Liu
Publisher: Springer Nature
ISBN: 3030702170
Category : Science
Languages : en
Pages : 479

Book Description
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

Liutex and Third Generation of Vortex Identification PDF Author: Yiqian Wang
Publisher: Springer Nature
ISBN: 9811989559
Category : Science
Languages : en
Pages : 421

Book Description
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.

Vortex Simulation and Identification

Vortex Simulation and Identification PDF Author: Chaoqun Liu
Publisher: BoD – Books on Demand
ISBN: 1837686408
Category : Science
Languages : en
Pages : 126

Book Description
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.

Electrically Conductive Membrane Materials and Systems

Electrically Conductive Membrane Materials and Systems PDF Author: Farah Ahmed
Publisher: CRC Press
ISBN: 1000854620
Category : Technology & Engineering
Languages : en
Pages : 328

Book Description
Electrically Conductive Membrane Materials and Systems offers in-depth insight into the transformative role of electrically conductive materials in membrane separation processes for desalination and water treatment. The book focuses on the intelligent design of conductive membranes and systems, fouling and related phenomena, fouling control using electrically conductive materials, and electrically tunable membrane systems for microfiltration, ultrafiltration, nanofiltration, reverse osmosis, and membrane distillation. With rising concerns around inaccessibility to freshwater and the ever increasing threats of population growth, climate change, and urban development, the book brings electrically conducting materials to the forefront of membrane separation technology with an emphasis on their role in the mitigation of fouling and related phenomena. Electrically conducting materials expand the versatility of membrane technology and ultimately improve access to safe water. The book is important reading for scientists, engineers, entrepreneurs, and enthusiasts from the water industry who seek to familiarize themselves with a groundbreaking area of study within modern desalination and water treatment. • Explores novel membrane materials and systems from preparation methods, materials selection, and their application in monitoring, fouling control, and performance enhancement. • Examines the mechanism of fouling prevention and cleaning in various electrically conductive materials. • Evaluates the scalability of antifouling materials and coatings, as well as electrically enhanced processes for monitoring and control in membrane separation technology. • Assesses advantages and limitations of applying electrically conductive membrane systems to fouling control for specific water treatment applications. • Provides a critical review of scientific literature in the specialized area of electrical conductive materials and systems for membrane technology.

Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure

Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure PDF Author: Chaoqun Liu
Publisher: Current Developments in Mathem
ISBN: 9789811437595
Category : Science
Languages : en
Pages : 342

Book Description
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

Computational Fluid Dynamics PDF Author: Jiyuan Tu
Publisher: Butterworth-Heinemann
ISBN: 0080982433
Category : Computers
Languages : en
Pages : 458

Book Description
An introduction to CFD fundamentals and using commercial CFD software to solve engineering problems, designed for the wide variety of engineering students new to CFD, and 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. The first book in the field aimed at CFD users rather than developers. New to this edition: A more comprehensive coverage of CFD techniques including discretisation via finite element and spectral element as well as finite difference and finite volume methods and multigrid method. Coverage of different approaches to CFD grid generation in order to closely match how CFD meshing is being used in industry. Additional coverage of high-pressure fluid dynamics and meshless approach to provide a broader overview of the application areas where CFD can be used. 20% new content .

Mechanism of Hairpin Vortex Formation by Liutex

Mechanism of Hairpin Vortex Formation by Liutex PDF Author: Yifei Yu
Publisher: Springer
ISBN: 9783031536694
Category : Science
Languages : en
Pages : 0

Book Description
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.

Turbulence—an Odyssey

Turbulence—an Odyssey PDF Author: Michael Eckert
Publisher: Springer Nature
ISBN: 3030914593
Category : Science
Languages : en
Pages : 213

Book Description
Turbulence is a research field where high expectations have met with recurrent frustration. It is a common perception among physicists, mathematicians and engineers that there is a "big mystery" behind the phenomenon of turbulence. Its history has also remained anything but well researched. Unlike topics such as quantum theory, which began to attract physics historians as long as fifty years ago, turbulence has - until now - received only little professional historical investigation. In this book, which complements his earlier SpringerBrief "The Turbulence Problem", the author sketches the history of turbulence from the vantage point of its roots (Part I), the basic concepts (Part II) and the formation of a scientific community that regarded turbulence as a research field in its own right (Part III). From this perspective turbulence research appears to undertake an odyssey through uncharted territories. The book follows this development up until a conference in Marseille in the year 1961, which marked the inauguration of turbulence in the words of its organizer as “a new science”. The epilogue contains some observations about turbulence research since 1961. This book provides a rich source of information for all those interested in the history of this major field of basic and applied science.