Liutex and Its Applications in Turbulence Research
eBook - ePub

Liutex and Its Applications in Turbulence Research

  1. 458 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Liutex and Its Applications in Turbulence Research

About this book

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

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Yes, you can access Liutex and Its Applications in Turbulence Research by Chaoqun Liu,Hongyi Xu,Xiaoshu Cai,Yisheng Gao in PDF and/or ePUB format, as well as other popular books in Tecnologia e ingegneria & Meccanica dei fluidi. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Title of Book
  2. Cover image
  3. Title page
  4. Table of Contents
  5. Copyright
  6. Biography of Authors
  7. Preface
  8. Chapter 1 Short review of three generations of vortex identification methods
  9. Chapter 2 Principal coordinate system based on velocity gradient tensor
  10. Chapter 3 Liutex—a new mathematical definition of fluid rotation
  11. Chapter 4 Existence, uniqueness, continuity, stability, Galilean invariance, applicability to compressible flows
  12. Chapter 5 Liutex-based velocity gradient tensor decomposition and vorticity R-S decomposition
  13. Chapter 6 Liutex and third generation of vortex identification methods
  14. Chapter 7 LXC-core line method and R-S decomposition for vortex dynamics
  15. Chapter 8 Liutex similarity, structure, and asymmetry in turbulent boundary layer
  16. Chapter 9 Liutex and proper orthogonal decomposition for hairpin vortex generation
  17. Chapter 10 Liutex iso-surface and LXC-core line methods in DNS analyses
  18. Chapter 11 Comparison of Liutex and other vortex identification methods
  19. Chapter 12 Liutex methods for science and engineering applications
  20. Chapter 13 Liutex and experiments for turbulent flow of low Reynolds number
  21. References
  22. Index