Titlebook: Mechanism of Hairpin Vortex Formation by Liutex; Yifei Yu,Chaoqun Liu Book 2024 The Editor(s) (if applicable) and The Author(s), under exc

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Book 2024ok blends direct numerical simulation (DNS) and mathematical analysis with experiments to create a foundation for understanding turbulence. The authors discuss hairpin vortex as a main component of transitional flow and turbulent flow. In addition, Liutex is utilized and described as a theoretical s

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https://doi.org/10.1007/978-3-031-53670-0Linear Instability; Non-Linear Instability; KH Instability; Liutex; Hairpin Vortex; Flow Transition; Turbu

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978-3-031-53672-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Receptivity,It is widely acknowledged that laminar boundary layer flow, also known as the Blasius solution, is generally unstable, even in the absence of pressure gradients. The unstable Tollmien-Schlichting (TS) modes were discovered a long time ago. However, the question remains: what causes the excitation of these unstable TS modes?

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Liutex and Third Generation of Vortex Definition and Identification,Vortices are ubiquitous in the universe, appearing in phenomena such as tornadoes, hurricanes, airplane tip vortices, and more. They serve as the fundamental components, muscles, and sinews of turbulent flows. However, for centuries, a rigorous mathematical definition of a vortex remained elusive.

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