1. Instability characteristics of a co-rotating wingtip vortex pair based on bi-global linear stability analysis
- Author
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Yang Xiang, Hong Liu, Zhang Miao, Chun Shao, Siyi Qiu, and Ze-Peng Cheng
- Subjects
Bi-global linear stability analysis ,0209 industrial biotechnology ,Aerospace Engineering ,02 engineering and technology ,01 natural sciences ,Instability ,Measure (mathematics) ,010305 fluids & plasmas ,020901 industrial engineering & automation ,Condensed Matter::Superconductivity ,0103 physical sciences ,Wingtip device ,Winglet ,Wingtip vortex ,Eigenvalues and eigenvectors ,Motor vehicles. Aeronautics. Astronautics ,Physics ,Mechanical Engineering ,Vortex flow ,Mathematical analysis ,Spectrum (functional analysis) ,TL1-4050 ,SPIV ,Vortex ,Perturbation mode ,Particle image velocimetry ,Wingtip vortices - Abstract
The Stereo Particle Image Velocimetry (SPIV) technology is applied to measure the wingtip vortices generated by the up-down symmetrical split winglet. Then, the temporal bi-global Linear Stability Analysis (bi-global LSA) is performed on this nearly equal-strength co-rotating vortex pair, which is composed of an upper vortex (vortex-u) and a down vortex (vortex-d). The results show that the instability eigenvalue spectrum illustrated by (ωr, ωi) contains two types of branches: discrete branch and continuous branch. The discrete branch contains the primary branches of vortex-u and vortex-d, the secondary branch of vortex-d and coupled branch, of which all of the eigenvalues are located in the unstable half-plane of ωi > 0, indicating that the wingtip vortex pair is temporally unstable. By contrast, the eigenvalues of the continuous branch are concentrated on the half-plane of ωi
- Published
- 2021
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