Instability of Aircraft Multiple Trailing Vortex Pairs

CHEN Li-fang; WANG Zhi-bo; SUN Gang

doi:10.21656/1000-0887.370059

Volume 37 Issue 8

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CHEN Li-fang, WANG Zhi-bo, SUN Gang. Instability of Aircraft Multiple Trailing Vortex Pairs[J]. Applied Mathematics and Mechanics, 2016, 37(8): 863-872. doi: 10.21656/1000-0887.370059

Citation:

CHEN Li-fang, WANG Zhi-bo, SUN Gang. Instability of Aircraft Multiple Trailing Vortex Pairs[J]. Applied Mathematics and Mechanics, 2016, 37(8): 863-872. doi: 10.21656/1000-0887.370059

Citation:

CHEN Li-fang, WANG Zhi-bo, SUN Gang. Instability of Aircraft Multiple Trailing Vortex Pairs[J]. Applied Mathematics and Mechanics, 2016, 37(8): 863-872. doi: 10.21656/1000-0887.370059

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Instability of Aircraft Multiple Trailing Vortex Pairs

doi: 10.21656/1000-0887.370059

Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, P.R.China

Funds: The National Basic Research Program of China (973 Program)(2014CB744802)

Received Date: 2016-03-02
Rev Recd Date: 2016-03-13
Publish Date: 2016-08-15

Abstract

Abstract

For aircrafts the wake vortex separation and the disturbance-induced vortex instability draw more and more concerns. A 1st-order approximation of the Biot-Savart law was used to build the induced motion model for arbitrarily multiple vortex pairs. Symmetric and antisymmetric modes of the induced motion of vortex pairs were deduced with the linear combination method. The properties of the modal matrix eigenvalues were obtained to describe instability of the multiple vortex pairs. The modes of 2 vortex pairs were used for validation of the proposed model, which was thereafter extended to 3 vortex pairs to give the instable modes corresponding to the modal matrices. The theoretical analysis and eigenvalue calculation show that, with the increase of the number of vortex filaments, the instability of the 3 vortex pairs will rise, and the amplification effects of the vortex system on the disturbance will highten.
- vortex filament,
- modal matrix,
- eigenvalue,
- wake instability

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References(16)

References

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