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Abstract

In recent times micro-air vehicles are utilised for various civilian and military applications. Because of their small size and low flight speeds they fly in the low Reynolds number (Re) regime. At such low Re the aerodynamic characteristics, most importantly the lift-to-drag ratio (Cl/Cd), are deteriorated. An improvement in (Cl/Cd) can lead to enhanced vehicle performance. The aerodynamic improvements can be achieved by optimising the wing profile geometry. In the present paper, optimisation of an airfoil is done to maximise (Cl/Cd) at Re = 1000. The upper and lower surfaces of a modified NACA 2408 airfoil are parametrised using the Akima interpolation method. The fixed-direction set method is used in optimising the airfoil aerodynamic performance with six control points each on the upper and lower surfaces. A corrugated airfoil, with a trapped vortex within it, is obtained as a result of this optimisation. Further, optimisation is carried out only on the upper surface of the corrugated airfoil with flat lower surface by increasing the number of control points from six to ten. (Cl/Cd)max is 3.718 for the baseline airfoil, while the final optimal airfoil resulted in (Cl/Cd)max of 4.670, a 25.6 % increase.

Keywords

Ultra-low Reynolds Number, Lift-to-drag Ratio, Aerodynamic Shape Optimisation, Fixed-direction Set Method, Corrugated Airfoil, Trapped Vortex

Article Details

How to Cite
N. Varsha, Deshpande, M. D., & Sivapragasam , M. (2023). Airfoil Optimisation at Ultra-Low Reynolds Number. Journal of Aerospace Sciences and Technologies, 71(3), 347–353. https://doi.org/10.61653/joast.v71i3.2019.156

References

  1. Sunada, S., Sakaguchi, A. and Kawachi, K., "Airfoil Section Characteristics at a Low Reynolds Number", J. Fluids Eng., Vol.119, 1997, pp. 129-135.
  2. Sunada, S., Yasuda, T., Yasuda K. and Kawachi, K., "Comparison of Wing Characteristics at an Ultralow Reynolds Number", J. Aircraft, Vol.39, No.2, 2002, pp.331-338.
  3. Kunz, P. J. and Kroo, I. M., "Analysis, Design, and Testing of Airfoils for Use at Ultra-Low Reynolds Numbers", in Fixed and Flapping Wing Aerodynamics for Micro Air Vehicle Applications, Edited by T. J. Mueller, Vol.195, Progress in Aeronautics and Astronautics, AIAA, Reston, VA, 2001.
  4. Mateescu, D. and Abdo, M., "Analysis of Flows Past Airfoils at very Low Reynolds Numbers", Proceedings of the IMechE, Part G: J. Aerospace Eng., Vol.224, 2010, pp.757-775.
  5. Pranesh, C., Sivapragasam, M. and Deshpande, M. D., "Aerodynamic Characteristics of Flow Past NACA 0008 Airfoil at Very Low Reynolds Numbers", Journal of Aerospace Sciences and Technologies, Vol.66, No.4, 2014, pp.247-266.
  6. Ukken, M. G. and Sivapragasam, M., "Aerodynamic Shape Optimization of Airfoils at Ultra-Low Reynolds Numbers", Sadhana, Vol.44, Article ID 130, 2019.
  7. Srinath, D. N. and Mittal, S., "Optimal Airfoil Shapes for Low Reynolds Number Flows", Int. J. Numer. Meth. Fluids, Vol.61, 2009, pp.355-381.
  8. Kumar, N., Diwakar, A., Attree, S. K. and Mittal, S., "A Method to Carry Out Shape Optimization with a Large Number of Design Variables", Int. J. Numer. Meth. Fluids, Vol.71, 2012, pp.1494-1508.
  9. Dheepak, A., Sivapragasam, M. and Deshpande, M. D., "Airfoil Optimisation at a Very Low Reynolds Number", Proceedings of 17th Annual CFD Symposium, Bangalore, 2015.
  10. Suryanarayana, G. K., Naveen, K. M. and Mudkavi, V. Y., "Mimicking the Mechanism of Lift Generation in Dragonflies", Journal of Aerospace Sciences and Technologies, Vol.70, No.1, 2018, pp.42-46.
  11. Akima, H., "A Method of Univariate Interpolation that has the Accuracy of a Third Degree Polynomial", ACM Trans. Math. Software, Vol.17, No.3, 1991, pp.341-366.
  12. Rao, S. S., Engineering Optimization: Theory and Practice. Fourth Edition, New Delhi, Wiley, 2009.
  13. Ringleb, F. O., "Separation Control by Trapped Vortices", in Boundary Layer and Flow Control, Edited by G. V. Lachman, Pergamon Press, 1961.
  14. Kasper, W., "Aircraft Wing with Vortex Generation", US Patent 3831885A, 1974.
  15. Wu, J. Z., Vakili, A. D. and Wu, J. M., "Review of the Physics of Enhancing Vortex Lift by Unsteady Excitation", Prog. Aerospace Sci., Vol.28, 1991, pp.73-131.
  16. Saffman, P. G. and Sheffield, J. S., "Flow Over a Wing with an Attached Free Vortex", Stud. Appl. Math., Vol.57, 1977, pp.107-117.
  17. Pitt Ford, C. W. and Babinsky, H., "Lift and the Leading-Edge Vortex", J. Fluid Mech., Vol.720, 2013, pp.280-313.
  18. Kessel, A. B., "Aerodynamic Characteristics of Dragonfly Wing Sections Compared with Technical Airfoils", J. Exp. Biol., Vol.203, 2000, pp.3125- 3135.