Liutex and Its Applications in Turbulence Research

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.

1. Short Introduction of Classical and Current Theories on Vortex and Turbulence Generation 2. Vortex Definition and Identification - Three Generations on Vortex Definition3. Rortex - A New Mathematical Definition of Fluid Rotation 4. Vortex Structure in Turbulent Boundary Layer - DNS and Experiment5. Linear Stability Analysis of Shear Layer and Rortex6. Large Vortex Formation7. Multiple Level Vortices Generation8. Relation between Vorticity and Rortex and Vorticity Structure in Flow Transition9. POD (SVD) and DMD Modes Analysis, Non-Symmetry and Chaos10. Correlation Analysis of Flow Fluctuation and Rortex11. Turbulent boundary layer and conventional law-of-the-wall12. New Observations and Findings of TBL in Modern DNS data13. Identification of Fluid and Thermal Scales for Developing Statistical Law14. Establishment of Unified Fluid and Thermal Law-of-the-Wall15. Proof and Validations of the Law by DNS data and Connotations of the Law