Abstract
A study on attenuating the self-induced roll oscillations of low-aspect-ratio flat-plate wings was conducted experimentally in a wind tunnel facility using a bionic flow control approach of the sinusoidal leading-edge (SLE). It was found that the effectiveness of the SLE on roll attenuation strongly depends on its amplitude and wavelength. Velocity measurements indicated that the SLE can generate streamwise counter-rotating vortex pairs (CVPs). These CVPs induce downwash flow, resulting in a decline in height of the leading-edge separated flow, thus attenuating roll oscillations. Force measurement results suggest that by choosing the appropriate wavelength-to-amplitude ratio of the SLE, self-induced roll oscillations can be suppressed with improved lift characteristics of the wing.
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Abbreviations
- A :
-
Amplitude of the sinusoidal leading-edge
- AR:
-
Aspect ratio
- b :
-
Wing span
- c :
-
Root chord length of the baseline model
- C l :
-
Roll moment coefficient
- C L :
-
Lift coefficient, L/(½ρU2∞ S)
- C L,α :
-
Lift curve slope
- C D :
-
Drag coefficient, D/(½ρU2∞ S)
- C M,c/4 :
-
Pitching moment coefficient, Mc/4/(½ρU2∞ Sc)
- D :
-
Drag
- f :
-
Frequency of roll oscillation
- I xx :
-
Moment of inertia about the x-axis
- L :
-
Lift
- M c/4 :
-
Pitching moment about a quarter chord length
- q ∞ :
-
Dynamic pressure of freestream, ½ρU2∞
- Re:
-
Reynolds number, ρU∞c/μ
- S :
-
Lifting surface area
- St:
-
Strouhal number, fU∞/c
- t :
-
Maximum thickness of the wing
- u′ :
-
Velocity fluctuation in the streamwise direction
- U :
-
Velocity magnitude
- U ∞ :
-
Freestream velocity
- v′:
-
Velocity fluctuation in the spanwise direction
- x :
-
Streamwise coordinate
- y :
-
Spanwise coordinate
- z :
-
Normal to the freestream coordinate
- α :
-
Wing angle of attack
- β :
-
Sideslip angle
- λ :
-
Wavelength of the sinusoidal leading-edge
- λ/A :
-
Wavelength-to-amplitude ratio
- Λ :
-
Sweep angle
- μ :
-
Air viscosity
- ρ :
-
Air density
- Φ, \( \dot{\varPhi } \), \( \ddot{\varPhi } \) :
-
Roll angle, roll speed, roll acceleration
- ω :
-
Vorticity
- CVP:
-
Counter-rotating vortex pair
- FFT:
-
Fast Fourier transform
- LAR:
-
Low-aspect-ratio
- LET:
-
Leading-edge tubercles
- MAV:
-
Micro aerial vehicle
- PIV:
-
Particle image velocimetry
- TKE:
-
Turbulent kinetic energy, \( \frac{1}{2}(\overline{{u^{{{\prime }2}} }} + \overline{{v^{{{\prime }2}} }} ) \)
- UAV:
-
Unmanned air vehicle
- RMS, rms:
-
Root-mean-square
- SLE:
-
Sinusoidal leading-edge
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Acknowledgements
This work was supported by the Ministry-of-Education Key Laboratory of Fluid Mechanics (BUAA), Key Laboratory of Aero-Acoustics Ministry of Industry and Technology (BUAA), Hamburg University of Applied Sciences (HAW Hamburg) and the National Natural Science Foundation of China, under Grant Numbers 11850410440, 11772033 and 117221202.
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Hu, T., Cheng, C., Liu, P. et al. Control of self-induced roll oscillations using the sinusoidal leading-edge for low-aspect-ratio wings. Exp Fluids 61, 166 (2020). https://doi.org/10.1007/s00348-020-02988-6
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DOI: https://doi.org/10.1007/s00348-020-02988-6