Drag reduction by a multi-point optimised hybrid flow control method for two supercritical airfoils
Keywords:
Supercritical airfoil, shock wave, drag reduction, flow control methods, multi-point adjoint optimisationAbstract
Shock control bump (SCB), suction and blowing are three flow control methods used to control the shock wave/boundary layer interaction to reduce the resulting wave drag in transonic flows. An SCB uses a small local surface deformation to reduce the shock wave strength, while the suction decreases the boundary layer thickness and the blowing delays the flow separation. Here, we will use a multi-point continuous adjoint optimisation scheme to find the optimum design of suction and blowing separately or together, or with the SCB, on two supercritical airfoils, i.e. RAE-5225 and RAE-2822, for a wide range of off-design transonic Mach numbers. The RANS flow equations are solved using the Roe’s averages scheme. The independent usage of the SCB, the suction and the blowing methods has resulted in the average aerodynamic performance improvement of, respectively, 11.7, 4.16, and 4.21%, with respect to the clean RAE-5225 airfoil and for the RAE-2822 these numbers are 11.1, 4.04, and 6.61%, respectively. The simultaneous usage of suction with blowing results in 8.61% improvement of the average aerodynamic efficiency for the RAE-5225, while this increase is 7.63% for the RAE-2822. The hybrid usage of all three methods improves the average aerodynamic performance by 17.7% for the RAE- 5225 and 22.1% for the RAE-2822. It is shown that the suction does not change the shock wave position significantly, but the blowing moves it forward, and reduces or removes the separated region after the shock wave or the SCB.
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References
Anderson, W. K., & Venkatakrishnan, V. (1997). Aerodynamic design optimization on
unstructured grids with a continuous adjoint formulation. In 35th Aerospace sciences meeting
and exhibit, aerospace sciences meeting, AIAA Paper, 97–0643.
Ashill, P. R., Fulker, J. L., & Shires, A. (1992). A novel technique for controlling shock strength of
laminar-flow aerofoil sections. In: Proceedings 1st European forum on laminar flow technology
(pp. 175–183). Hamburg.
Balleur, J. C., Girodroux-Lavigne, P., & Gassot, H. (1999). Prediction of transonic airfoil/wing
flow with control using time-accurate viscous-inviscid interaction approach (Results of Project
EUROSHOCK II Supported by the European Union 1996–1999, 3rd Annual Report). Berlin:
Springer. doi: 10.1007/978-3-540-45856-2_9
Bhattacharjee, S., Ahsan, M., Saha, M., & Mohammad, M. (2007). Numerical analysis of shock
and boundary layer control over NACA0012 by contour bump, surface cooling and heating.
In: Proceedings of the international conference on mechanical engineering (ICME’07) (pp.
–31). Dhaka.
Birkemeyer, J. (1999). Drag minimization on a transonic wing by ventilation and adaptive contour
bump (DLR Research Report 1999–28). Ph.D. Thesis University Hannover, Hannover.
Blazek, J. (2005). Computational fluid dynamics: Principles and applications (2nd ed.).
Amsterdam: Elsevier.
Evans, M. R., Hynes, R. J., Norman, D. C., & Thomason, R. E. (1984). Automatic flight control
modes for the AFTI/F-111 mission adaptive wing aircraft. AGARD-CP-384 (Vol. 25).
Jameson, A., Leoviriyakit, K., & Shankaran, S. (2007). Multi-point aero-structural optimization
of wings including planform variations. 45th aerospace sciences meeting and exhibit, AIAA-
-764, Reno.
Koenig, B., Paetzold, M., Lutz, T., & Kraemer, E. (2007). Shock control bumps on flexible a
trimmed transport aircraft in transonic flow. New Results in Numerical and Experimental
Fluid Mechanics VI, 96, 80–87. Berlin
Lee, D. S., Bugeda, G., Periaux, J., & Onate, E. (2013). Robust active shock control bump design
using hyper parallel MOGA. Computers & Fluids, 80, 214–224.
Lien, F. S., & Kalitzin, G. (2001). Computations of transonic flow with ν2-f turbulence model.
International Journal of Heat and Fluid Flow, 22, 53–61.
Mazaheri, K., Kiani, K. C., Nejati, A., Zeinalpour, M., & Taheri, R. (2015). Optimization
and analysis of shock wave/boundary layer interaction for drag reduction by shock
control bump. Journal of Aerospace Science and Technology, 42, 196–208. doi:
1016/j.ast.2015.01.007
Mazaheri, F., & Nejati, A. (2015). The multi-point optimization of shock control bump
with constant-lift constraint enhanced with suction and blowing for a supercritical
airfoil. International Journal of Flow, Turbulence and Combustion, 96, 639–666. doi:
1007/s10494-015-9671-8
Mazaheri, F., Nejati, A., & Kiani, K. C. (2016). Application of the adjoint multipoint
and the robust optimization of shock control bump for transonic airfoils and
wings. International Journal of Engineering and Optimization, 48, 1887–1909. doi:
1080/0305215X.2016.1139811
Mazaheri, K., Nejati, A., kiani, K. C., & Taheri, R. (2015). The application of the gradientbased
adjoint multi-point optimization of single and double shock control bumps for
transonic airfoils. International Journal on Shock Waves Detonations and Explosions, 25. doi:
1007/s00193-015-0591-2
Mazaheri, K., & Zeinalpour, M. (2015). Entropy minimization in turbine cascade
using continuous adjoint formulation. Journal of Engineering Optimization. doi
1080/0305215X.2014.998663
Menter, F. R., & Rumsey C. L. (1994). Assessment of two-equation turbulence models for transonic
flows. 25th AIAA fluid dynamics conference, Colorado.
Milholen II, W. E., & Lewis, L. R. (2005). On the application of contour bumps for transonic
drag reduction. AIAA 43rd aerospace sciences meeting and exhibit, AIAA-2005-0462, Reno.
Patzold, M., Lutz, T. H., Kramer, E., & Wagner, S. (2006). Numerical optimization of finite
shock control bumps. In: AIAA 44th aerospace sciences meeting and exhibit, AIAA Paper
–1054 (pp. 9–12). Reno.
Qin, N., Zhu, Y., & Ashill, P. R. (2000). CFD study of shock control at Cranfield. 22nd international
congress of aeronautical sciences, Harrogate.
Qin, N., Zhu, Y., & Shaw, T. H. (2004). Numerical study of active shock control for transonic
aerodynamics. International Journal of Numerical Methods for Heat & Fluid Flow, 14, 444–
Ramezani, A., & Mazaheri, K. (2009). Multi-grid convergence acceleration for implicit
and explicit solution of Euler equations on unstructured grids. International Journal for
Numerical Methods in Fluids, inter science Wiley publication, 62, 994–1012.
Rao, S. S. (1996). Engineering optimization: Theory and practice (3rd ed.). New York, NY: Wiley.
Stanewsky, E., Delery, J., Fulker, J., & de Matteis, P. (Eds.). (2002). Drag reduction by shock
and boundary layer control. Notes on Numerical Fluid Mechanics and Multi-disciplinary
Design, 80, 3–4.
Tian, Y., Liu, P., & Feng, P. (2011). Shock control bump parametric research on supercritical
airfoil. Science China, 54, 2935–2944.
Vadillo, J. L., Agarwal, R. K., & Hassan, A. A. (2004). Active control of shock/boundary layer
interaction in transonic flow over airfoils. Proceedings of the third international conference
on computational fluid dynamics, ICCFD3 (pp. 361–366). Toronto, ON. Retrieved from
http://link.springer.com/chapter/10.1007%2F3-540-31801-1_50
Yagiz, B., Kandil, O., & Pehlivanoglu, Y. V. (2012). Drag minimization using active and passive
flow control techniques. Aerospace Science and Technology, 17, 21–31.
