Abstract
The third generation of vortex identification methods based on Liutex vector are superior to previous methods in that they overcome the drawbacks of previous methods including threshold problem, shear contamination, etc. with a clear physical meaning for the Liutex vector. The direction of Liutex represents the local axis of rotation, and its magnitude is equal to twice the angular velocity of rotation. The current study focuses on the interaction between Liutex represented rotation and the residual shear part during the development of Λ vortex and hairpin vortex in boundary layer transition. The results show that shear plays an important role in the generation and dissipation of vortices and the proportion of Liutex in the whole vorticity affects the stability of a vortex. When the directions between Liutex and shear is approximately parallel, the vortex moves mainly along the flow direction and the offsets in other directions are relatively small. It is also shown that the Liutex vector can accurately extract the rigid rotation part from fluid motion and the third-generation vortex identification methods can serve as a powerful tool to study fluid dynamics.
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Pang, B., Ding, Y., Wang, Y. (2023). The Liutex Shear Interaction in Boundary Layer Transition. In: Wang, Y., Gao, Y., Liu, C. (eds) Liutex and Third Generation of Vortex Identification. Springer Proceedings in Physics, vol 288. Springer, Singapore. https://doi.org/10.1007/978-981-19-8955-1_7
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DOI: https://doi.org/10.1007/978-981-19-8955-1_7
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