Nonlinear Evolution of Stationary Crossflow Vortices in Swept-Wing Boundary Layers

LU Xue-zhi; ZHAO Lei; LUO Ji-sheng

doi:10.21656/1000-0887.370152

Volume 37 Issue 10

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LU Xue-zhi, ZHAO Lei, LUO Ji-sheng. Nonlinear Evolution of Stationary Crossflow Vortices in Swept-Wing Boundary Layers[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1073-1084. doi: 10.21656/1000-0887.370152

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Nonlinear Evolution of Stationary Crossflow Vortices in Swept-Wing Boundary Layers

doi: 10.21656/1000-0887.370152

Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China

Funds: The National Natural Science Foundation of China(Key Program)（11332007）

Received Date: 2016-05-16
Rev Recd Date: 2016-07-20
Publish Date: 2016-10-15

Abstract

Abstract

The crossflow instability was one of the main forms of instability in sweptwing boundary layers. Previous investigations indicated that the stationary crossflow vortex underwent a period of nonlinear saturation before the transition, so the linear stability theories couldn’t effectively predict the transition process caused by the crossflow instability and it was essential to study the nonlinear evolution of stationary crossflow vortices. A 45°-sweepback and -4°-attack-angle NLF(2)-0415 airfoil under the condition of Ma=0.8 was studied. The nonlinear evolution of stationary crossflow vortices was computed with disturbance equations. The results illustrate that the nonparallelism plays a more unstable role. The nonlinear interaction begins to be obvious when the amplitude of the 1st order wave reaches around 0.1. The crossflow vortex undergoes a procedure of amplitude saturation, and the vortex shape is like a half-mushroom structure. The vortex axis is parallel to the inviscid potential flow direction. These vortices distort the velocities, and make the streamwise and spanwise velocity profiles go through inflection points.
- swept-wing boundary layer,
- stationary crossflow vortex,
- non-parallelism,
- amplitude saturation,
- nonlinear evolution

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References

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