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Liutex And Third Generation Of Vortex Definition And Identification

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Liutex and Third Generation of Vortex Definition and Identification

Liutex and Third Generation of Vortex Definition and Identification Book
Author : Chaoqun Liu,Yiqian Wang
Publisher : Springer
Release : 2021-05-11
ISBN : 9783030702168
Language : En, Es, Fr & De

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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 Its Applications in Turbulence Research

Liutex and Its Applications in Turbulence Research Book
Author : Chaoqun Liu,Hongyi Xu,Xiaoshu Cai,Yisheng Gao
Publisher : Academic Press
Release : 2020-10-29
ISBN : 0128190248
Language : En, Es, Fr & De

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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 Book
Author : Chaoqun Liu,Yisheng Gao
Publisher : Bentham Science Publishers
Release : 2020-04-28
ISBN : 9811437580
Language : En, Es, Fr & De

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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.

Ship Dynamics for Performance Based Design and Risk Averse Operations

Ship Dynamics for Performance Based Design and Risk Averse Operations Book
Author : Spyros Hirdaris,Tommi Kristian Mikkola
Publisher : MDPI
Release : 2021-04-07
ISBN : 3036506160
Language : En, Es, Fr & De

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Book Description :

More than a century and half ago, William Froude and his son Robert [1,2] conducted the first scientifically designed towing tank experiments using scaled ship models traveling in calm water or waves. Since then, advances in mathematics and technology have led to the development of various methods for the assessment of the dynamic behavior of ships. Yet, as we enter the 2nd decade of the 21st century the advent of goal-based regulations and the emergence of safe and sustainable shipping standards still confront our ability to understand the fundamentals and assure absolute ship safety in design and operations. To instigate renewed interest in the well-rehearsed subject of ship dynamics this Special Issue presents a collection of 12 high-quality research contributions with a focus on the prediction and analysis of the dynamic behavior of ships in a stochastic environment. The papers presented are co-authored by leading subject matter experts from Europe, the Far East, and the USA. These papers will be of interest to academics, practitioners, and regulators involved in the progression of ship science, technical services, and safety standards.