Abstract
On a swept vertical tailplane with infinite span tangential blowing over the shoulder of a deflected rudder is applied. For large rudder deflection angles the flow on the rudder is separated without blowing. A numerical study is conducted with the aim to increase the side force coefficient. This could, for example, be required during take-off if the engine on one side fails, necessitating the compensation of a large yawing moment. If this criterion is critical for the sizing of the vertical tailplane, active flow control like tangential blowing could help to reduce the size of the vertical tailplane and thus save weight and fuel. With a continuous slot it is demonstrated that the separation on the rudder can be reduced or avoided. It is shown that using discrete slots this can be achieved with a smaller momentum coefficient. To analyze the effects of the discrete slots and their jets on each other and their effectivity with regard to the gain in side force coefficient a parameter study is conducted. The number of slots as well as the size of the slots in spanwise direction is varied and the impact of jet velocity changes is also studied. In comparing the results for a constant increase in side force and constant slot size in spanwise direction the configuration with the smaller number of slots but a higher jet velocity proved to be the most effective one.
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Abbreviations
- AFC:
-
Active flow control
- DLR:
-
Deutsches Zentrum für Luft- und Raumfahrt (German Aerospace Center)
- LUSGS:
-
Lower–upper symmetric Gauss–Seidel
- OEI:
-
One-engine-inoperative
- RANS:
-
Reynolds-averaged Navier–Stokes (equations)
- SARC:
-
Spalart and Allmaras turbulence model with vortical and rotational flow correction
- VTP:
-
Vertical tailplane
- 2D:
-
Two dimensional
- 3D:
-
Three dimensional
- A ref :
-
Reference area (m2)
- A j :
-
Area of the slot orifice (m2)
- c :
-
Chord length (m)
- C fx :
-
Skin friction coefficient (–)
- C Y :
-
Side force coefficient (–)
- C μ :
-
Momentum coefficient (–)
- DC:
-
Duty cycle (–)
- g :
-
Gap size between slots (m)
- h Slot :
-
Slot height (m)
- l Slot :
-
Slot length in chord direction (m)
- M :
-
Mach number (–)
- \(\dot{m}_{\text{j}}\) :
-
Mass flow rate of the jet (kg/s)
- N :
-
Number of slots per calculated span (–)
- v j :
-
Jet velocity (m/s)
- v ∞ :
-
Reference onset flow velocity (m/s)
- w :
-
Slot width in spanwise direction (m)
- y + :
-
Dimensionless wall distance (–)
- ϕ :
-
Sweep angle (deg)
- ρ j :
-
Jet density (kg/m3)
- ρ ∞ :
-
Reference onset flow density (kg/m3)
- ω x :
-
Rotation direction in x-direction (1/rad)
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Gebhardt, A., Kirz, J. Numerical investigation of slot variations on the efficiency of tangential blowing at a vertical tailplane with infinite span. CEAS Aeronaut J 9, 195–206 (2018). https://doi.org/10.1007/s13272-018-0288-1
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DOI: https://doi.org/10.1007/s13272-018-0288-1