Liutex and Its Applications in Turbulence Research

Liutex and Its Applications in Turbulence Research
Author: Chaoqun Liu
Publisher: Academic Press
Total Pages: 458
Release: 2020-10-29
Genre: Science
ISBN: 0128190248

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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
Language: en
Pages: 458
Authors: Chaoqun Liu
Categories: Science
Type: BOOK - Published: 2020-10-29 - Publisher: Academic Press

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Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and expla
Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure
Language: en
Pages: 343
Authors: Chaoqun Liu
Categories: Science
Type: BOOK - Published: 2020-04-28 - Publisher: Bentham Science Publishers

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The knowledge of quantitative turbulence mechanics relies heavily upon the definition of the concept of a vortex in mathematical terms. This reference work intr
Liutex and Third Generation of Vortex Definition and Identification
Language: en
Pages: 479
Authors: Chaoqun Liu
Categories: Science
Type: BOOK - Published: 2021-07-26 - Publisher: Springer Nature

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This book collects papers presented in the Invited Workshop, “Liutex and Third Generation of Vortex Definition and Identification for Turbulence,” from CHAO
Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure
Language: en
Pages: 342
Authors: Chaoqun Liu
Categories: Science
Type: BOOK - Published: 2020-04-28 - Publisher: Current Developments in Mathem

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The knowledge of quantitative turbulence mechanics relies heavily upon the definition of the concept of a vortex in mathematical terms. This reference work intr
Liutex and Third Generation of Vortex Identification
Language: en
Pages: 421
Authors: Yiqian Wang
Categories: Science
Type: BOOK - Published: 2023-03-21 - Publisher: Springer Nature

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This proceedings highlights the applications of the newly introduced physical quantity Liutex in hydrodynamics and aerodynamics. Liutex is used to represent the