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Transonic flow past a Whitcomb airfoil with a deflected aileron

  • Received : 2013.07.25
  • Accepted : 2013.09.04
  • Published : 2013.09.30

Abstract

The sensitivity of transonic flow past a Whitcomb airfoil to deflections of an aileron is studied at free-stream Mach numbers from 0.81 to 0.86 and vanishing or negative angles of attack. Solutions of the Reynolds-averaged Navier-Stokes equations are obtained with a finite-volume solver using the $k-{\omega}$ SST turbulence model. The numerical study demonstrates the existence of narrow bands of the Mach number and aileron deflection angles that admit abrupt changes of the lift coefficient at small perturbations. In addition, computations reveal free-stream conditions in which the lift coefficient is independent of aileron deflections of up to 5 degrees. The anomalous behavior of the lift is explained by interplay of local supersonic regions on the airfoil. Both stationary and impulse changes of the aileron position are considered.

Keywords

References

  1. Henry, M.M., Two-dimensional shock sensitivity analysis for transonic airfoils with leading-edge and trailingedge device deflections, Master's thesis, Virginia Polytechnic Institute, Blacksburg, Virginia, 2001.
  2. Meheut, M., Atinault, O., and Hantrais-Gervois, J.-L., "elsA and TAU assessment for wing control surfaces", Research Report, TP 2011-102, ONERA, Toulouse, France, 2011.
  3. Dimitrov, D., "Unsteady aerodynamics of wings with an oscillating flap in transonic flow", 8th PEGASUS-AIAA Student Conference, Poitiers, Frankreich, 2012.
  4. Reimer, L., and Heinrich, R., "Modeling of movable control surfaces and atmospheric effects", Notes on numerical fluid mechanics and multidisciplinary design, Vol. 123, 2013, pp. 183-206. https://doi.org/10.1007/978-3-642-38877-4_13
  5. Blanc, F., Roux, F.-X., and Jouhaud, J.-Ch., "Numerical methods for control surfaces aerodynamics with flexibility effects", International Forum on Aeroelasticity and Structural Dynamics 2009, CERFACS, Toulouse, France, 2009, pp. 1-15, URL : http://www.cerfacs.fr/-cfdbib/repository/TR_CFD_09_54.pdf
  6. Kuzmin, A., "Non-unique transonic flows over airfoils", Computers and Fluids, Vol. 63, 2012, pp. 1-8. https://doi.org/10.1016/j.compfluid.2012.04.001
  7. Jameson, A., Vassberg, J.C., and Ou, K., "Further studies of airfoils supporting non-unique solutions in transonic flow", AIAA Journal, Vol. 50, No. 12, 2012, pp. 2865-2881. https://doi.org/10.2514/1.J051713
  8. Kuzmin A., Bifurcations of transonic flow past flattened airfoils. E-print, Centre pour la Communication Scientifique Directe, 2009, pp. 1-11, URL : http://hal.archives-ouvertes.fr/hal-00433168
  9. Kuzmin, A., and Ryabinin, A., "Airfoils admitting anomalous behavior of lift coefficient in descending transonic flight", The Seventh Intern. Conference on Comput. Fluid Dynamics, Hawaii, USA, 2012, pp. 1-7, URL : http://www.iccfd.org/iccfd7
  10. Airfoil Coordinate Database. UIUC Applied Aerodynamics Group, 1995-2013. URL : https://aerodynamics.lr.tudelft.nl/cgi-bin/afCDb/
  11. Barth, T.J., and Jespersen, D.C., "The design and application of upwind schemes on unstructured meshes", AIAA Paper, 89-0366, 1989, pp. 1-12.
  12. Menter, F.R., "Review of the Shear-Stress Transport turbulence model experience from an industrial perspective", Intern. J. Comput. Fluid Dynamics, Vol. 23, Issue 4, 2009, pp. 305-316. https://doi.org/10.1080/10618560902773387
  13. Barrett, Th.R., Aerodynamic design optimization using flow feature parametrization, PhD thesis, University of Southampton, School of Engineering Sciences, Southampton, UK, 2007.
  14. Hazra, S.B., "Large-scale PDE-constrained optimization in applications", Lecture Notes in Applied and Computational Mechanics, Vol. 49, Springer, 2010.
  15. Yang, J.Y., Hsieh, T.-J., and Huang, J.C., "Implicit implementation of variant WENO schemes for compressible flow computations", Computational Fluid Dynamics Review 2010, World Scientific, 2010, pp. 241-277.
  16. Fluent 6.3 validation guide, Fluent Inc., Lebanon, New Hampshire, USA, 2006.
  17. Cook, P.H., McDonald, M.A., and Firmin, M.C.P., "Aerofoil RAE 2822 - pressure distributions, and boundary layer and wake measurements", Experimental Data Base for Computer Program Assessment, AGARD Report, AR 138, 1979.
  18. Geissler, W., and Ruiz-Calavera, L.P., "Transition and turbulence modelling for dynamic stall and buffet", Engineering Turbulence Modelling and Experiments 4 (Proc. of the 4th Intern. Symposium on Engineering Turbulence Modelling and Measurements), Corsica, France, 1999, pp. 679-688.

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