Download or read book Liutex and Third Generation of Vortex Definition and Identification written by Chaoqun Liu and published by Springer Nature. This book was released on 2021-07-26 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liutex and Third Generation of Vortex Identification written by Yiqian Wang and published by Springer Nature. This book was released on 2023-03-21 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liutex and Its Applications in Turbulence Research written by Chaoqun Liu and published by Academic Press. This book was released on 2020-10-29 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Mechanism of Hairpin Vortex Formation by Liutex written by Yifei Yu and published by Springer Nature. This book was released on with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vortex Simulation and Identification written by Chaoqun Liu and published by BoD – Books on Demand. This book was released on 2024-01-24 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liutex and Statistical Analysis for Fluid Transition written by Charles Matthew Nehemiah Nottage and published by . This book was released on 2022 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liutex based and Other Mathematical Computational and Experimental Methods for Turbulence Structure written by Chaoqun Liu and published by Bentham Science Publishers. This book was released on 2020-04-28 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational Fluid Dynamics written by Jiyuan Tu and published by Butterworth-Heinemann. This book was released on 2012-11-07 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 .
Download or read book 13th Chaotic Modeling and Simulation International Conference written by Christos H. Skiadas and published by Springer Nature. This book was released on 2021-12-14 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liutex based and Other Mathematical Computational and Experimental Methods for Turbulence Structure written by Chaoqun Liu and published by Current Developments in Mathem. This book was released on 2020-04-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liutex based Vortex Identification Methods and Their Application in DNS Study of Flat Plate Boundary Layer Transition written by Pushpa Shrestha and published by . This book was released on 2022 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vortex Dynamics written by P. G. Saffman and published by Cambridge University Press. This book was released on 1995-02-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational Fluid Dynamics written by Jiyuan Tu and published by Elsevier. This book was released on 2023-05-09 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Vortex Flow in Nature and Technology written by Hans J. Lugt and published by Wiley-Interscience. This book was released on 1983 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mechanical Similitude and Turbulence written by Theodore Von Kármán and published by . This book was released on 1931 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report deals with the theory of the vortex street which enables the reproduction of the mechanism of the form resistance with suitable approximation under stated conditions, although such a resistance is precluded in a fluid which is perfectly inviscid. Disregarding for the present the origination of the vortex, the stream attitude in the wake of the body may be described approximately correct by the representation of individual vortices, without transgressing the law governing the motion of such vortices in an ideal fluid. Another striking example is the theory of the induced drag of wings, which likewise shows the extent of applying the vortex equations without overstepping the bounds of the dynamics of ideal fluids.
Download or read book Liutex Analysis by Pod and DMD for Vortex Formations in Boundary Layer Transition written by Sita Charkrit and published by . This book was released on 2020 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortices are considered as the building blocks of turbulent flows. To study how one type of vortex becomes another type especially in flow transition is one way to get better understanding about turbulence. In this dissertation, two types of vortex formations, i.e., the hairpin vortex formation and the formation of vortex structure from symmetry to asymmetry, are studied by the direct numerical simulation. According to Liu et al. (2019), Liutex has been proposed as a new physical quantity with scalar, vector and tensor forms. A Liutex vector is defined as a rotation part of fluid motion without shear contamination. The purpose of this work is to apply Liutex and other Liutex-based methods to analyze and identify the vortex structures in the flow transition. Moreover, the proper orthogonal decomposition and dynamic mode decomposition are applied to extract the whole structures into coherent structures. In this work, the hairpin vortex formation in early transition is analyzed by the new mathematical definition of vortex core based Liutex definition. The results apparently show that the Lambda vortex is not self-deformed to the hairpin vortex as many literatures suggested. Then, the POD result demonstrates that fluctuating modes are in pairs and share the same characteristics such as eigenvalues, eigenvectors, amplitudes, mode shapes and time evolutions. It can be implied that the Lambda vortex is not self deformed to a hairpin vortex, but it is formed by the K-H instability during the formation of Lambda vortex and hairpin vortex in boundary layer flow transition. In addition, in late flow transition, which is more complex than the early stage, the symmetric and asymmetric areas are compared to identify the vortex structures. The new findings from Liutex analysis are obtained as follows. 1) Asymmetry of vortex structure starts from the bottom not the middle or the top part of wall normal direction. 2) Asymmetry of vortex structure is measured strong in the bottom, moderate in the middle and weak on the top.3) Flow fluctuations are closely related to the Liutex or fluid rotation. 4) Flow fluctuations are closely correlated with the loss of symmetry of vortex structures. 5) The high frequency modes represent small-scale structures. 6) The low-frequency modes that possess the high Liutex magnitudes represent large-scale structures of hairpin vortices, whereas the low-frequency modes that possess the low Liutex magnitudes represent large-scale structures of streamwise vortices.
Download or read book The Kinematics of Vorticity written by Clifford Truesdell and published by Courier Dover Publications. This book was released on 2018-10-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique graduate-level monograph presents a heavily mathematical treatment with applications extending to many areas of physics and engineering. "A valuable compendium of results." — Bulletin of the American Mathematical Society. 1954 edition.
