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Mathematical Problems in Engineering
Volume 2015, Article ID 854308, 31 pages
http://dx.doi.org/10.1155/2015/854308
Research Article

An Extended Assessment of Fluid Flow Models for the Prediction of Two-Dimensional Steady-State Airfoil Aerodynamics

1Wind Energy Group, Department of Physics, Instituto Tecnológico y de Estudios Superiores de Monterrey, Eugenio Garza Sada 2501 Sur, 64849 Monterrey, NL, Mexico
2Solar Energy and Thermosciences Group, Department of Mechanical Engineering, Instituto Tecnológico y de Estudios Superiores de Monterrey, Eugenio Garza Sada 2501 Sur, 64849 Monterrey, NL, Mexico
3Department of Mechanical Engineering, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA
4School of Mechanical and Electrical Engineering, Universidad Autónoma de Nuevo León, Avenida Universidad s/n, Ciudad Universitaria, 66451 San Nicolás de los Garza, NL, Mexico

Received 30 August 2014; Revised 13 January 2015; Accepted 13 January 2015

Academic Editor: Shaofan Li

Copyright © 2015 José F. Herbert-Acero et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. H. Abbott and A. E. von Doenhoff, Theory of Wing Sections, Dover Publications, New York, NY, USA, 1959.
  2. E. L. Houghton, P. W. Carpenter, S. H. Collicott, and D. T. Valentine, Aerodynamics for Engineering Students, Elsevier, Waltham, Mass, USA, 6th edition, 2013.
  3. A. Filippone, “Airfoil inverse design and optimization by means of viscous-inviscid techniques,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 56, no. 2-3, pp. 123–136, 1995. View at Publisher · View at Google Scholar · View at Scopus
  4. M. S. Selig and B. D. McGranahan, “Wind tunnel aerodynamic tests of six airfoils for use on small wind turbines,” Journal of Solar Energy Engineering, Transactions of the ASME, vol. 126, no. 4, pp. 986–1001, 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. Z. Zhou, D. Li, Z. Zhang, and J. Zeng, “Design and fabrication of a hybrid surface-pressure airfoil model based on rapid prototyping,” Rapid Prototyping Journal, vol. 14, no. 1, pp. 57–66, 2008. View at Publisher · View at Google Scholar · View at Scopus
  6. A. E. von Doenhoff and F. T. Abbott, “The langley two-dimensional low-turbulence pressure tunnel,” Technical Note 1293, National Advisory Committee for Aeronautics, Washington, DC, USA, 1947. View at Google Scholar
  7. H. Glauert, “Wind tunnel interference on wings, bodies and airscrews in a two-dimensional-flow wind tunnel with consideration of the effect of compressibility,” R. & M. No. 1566, British A. R. C., 1938. View at Google Scholar
  8. P. Dube and V. Damodaran, “Numerical approach to determine wind tunnel blockage correction for the external aerodynamics of a vehicle,” SAE Technical Paper 2007-01-3462, 2007. View at Publisher · View at Google Scholar
  9. F. Riegels, “Correction factors for wind tunnels of elliptic section with partially open and partially closed test section,” Tech. Rep. TM-1310, National Advisory Committee for Aeronautics, Washington, DC, USA, 1951. View at Google Scholar
  10. I. H. Abbott, A. E. von Doenhoff, and L. S. Stivers, “Summary of airfoil data,” Tech. Rep. 824, National Advisory Committee for Aeronautics, Washington, DC, USA, 1945. View at Google Scholar
  11. R. L. Panton, “Stream functions and velocity potential,” in Incompressible Flow, pp. 251–270, John Wiley & Sons, Hoboken, NJ, USA, 3rd edition, 2005. View at Google Scholar
  12. A. Zanon, P. Giannattasio, and C. J. S. Ferreira, “A vortex panel model for the simulation of the wake flow past a vertical axis wind turbine in dynamic stall,” Wind Energy, vol. 16, no. 5, pp. 661–680, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. R. L. Panton, “Introduction to turbulent flows,” in Incompressible Flow, pp. 732–774, John Wiley & Sons, Hoboken, NJ, USA, 3rd edition, 2005. View at Google Scholar
  14. Z. U. A. Warsi, “Development of averaged equations,” in Fluid Dynamics: Theoretical and Computational Approaches, pp. 559–585, Taylor & Francis Group, Boca Raton, Fla, USA, 3rd edition, 2006. View at Google Scholar
  15. M. Lesieur and O. Metais, “New trends in large eddy simulations of turbulence,” Annual Reviews of Fluid Mechanics, vol. 28, pp. 45–82, 1996. View at Publisher · View at Google Scholar
  16. R. Friedrich, T. J. Hüttl, M. Manhart, and C. Wagner, “Direct numerical simulation of incompressible turbulent flows,” Computers and Fluids, vol. 30, no. 5, pp. 555–579, 2001. View at Publisher · View at Google Scholar · View at Scopus
  17. X. Mauclère, Automatic 2D airfoil generation, evaluation and optimisation using MATLAB and XFOIL [M.S. thesis], Department of Mechanical Engineering, Section of Fluid Mechanics, Technical University of Denmark, Lyngby, Denmark, 2009.
  18. Z. U. A. Warsi, “The Navier-Stokes equations: equations of inviscid flow (Euler's equations),” in Fluid Dynamics: Theoretical and Computational Approaches, pp. 83–85, Taylor & Francis, 3rd edition, 2006. View at Google Scholar
  19. M. Drela, “XFOIL: an analysis and design system for low reynolds number airfoils,” in Low Reynolds Number Aerodynamics: Proceedings of the Conference Notre Dame, Ind, USA, 5–7 June, vol. 54 of Lecture Notes in Engineering, pp. 1–12, Springer, Berlin, Germany, 1989. View at Publisher · View at Google Scholar
  20. M. Drela and H. Youngren, XFOIL 6.96 User Guide, Massachusetts Institute of Technology, Cambridge, Mass, USA, 2001, http://web.mit.edu/drela/Public/web/xfoil/.
  21. Accurate Lift, Drag & Moments for Airfoil Shapes, Software Package, Ver. 5.0, ©Hanley Innovations, Ocala, Fla, USA, VisualFoil, 2013, http://www.hanleyinnovations.com/air_16.html.
  22. W. P. Wolfe and S. S. Ochs, “CFD calculations of S809 aerodynamic characteristics,” in Proceedings of the 35th AIAA Aerospace Sciences Meeting and Exhibit, AIAA-97-0973, Reno, Nev, USA, 1997. View at Publisher · View at Google Scholar
  23. F. R. Menter, R. Langtry, and S. Völker, “Transition modelling for general purpose CFD codes,” Flow, Turbulence and Combustion, vol. 77, no. 1–4, pp. 277–303, 2006. View at Publisher · View at Google Scholar
  24. ANSYS, ANSYS FLUENT Theory Guide, ANSYS, Canonsburg, Pa, USA, 2014, http://www.ansys.com/.
  25. J. H. Ferziger and M. Peric, Computational Methods for Fluid Dynamics, Springer, Berlin, Germany, 3rd edition, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  26. P. Khayatzadeh and S. Nadarajah, “Laminar-turbulent flow simulation for wind turbine profiles using the γ- Re~θt transition model,” Wind Energy, vol. 17, no. 6, pp. 901–918, 2014. View at Publisher · View at Google Scholar · View at Scopus
  27. S. J. Miley, “A catalog of low Reynolds number airfoil data for wind turbine applications,” RFP-3387 VC-60, Rockwell International, USA Department of Energy, Wind Energy Technology Division, Federal Wind Energy Program, 1982. View at Google Scholar
  28. D. C. Eleni, T. I. Athanasios, and M. P. Dionissios, “Evaluation of the turbulence models for the simulation of the flow over a national advisory committee for aeronautics (NACA) 0012 airfoil,” Journal of Mechanical Engineering Research, vol. 4, no. 3, pp. 100–111, 2012. View at Publisher · View at Google Scholar
  29. A. Kumar, M. Singh, and A. Kumar, “Analysis of the Spalart-Allmaras and k-ω standard models for the simulation of the flow over a National Advisory Committee for Aeronautics (NACA) 4412 airfoil,” International Journal of Scientific & Engineering Research, vol. 3, no. 8, pp. 881–887, 2012. View at Google Scholar
  30. F. Villalpando, M. Reggio, and A. Ilinca, “Assessment of turbulence models for flow simulation around a wind turbine airfoil,” Modelling and Simulation in Engineering, vol. 2011, Article ID 714146, 8 pages, 2011. View at Publisher · View at Google Scholar · View at Scopus
  31. A. Firooz and M. Gadami, “Turbulence flow for NACA 4412 in unbounded flow and grounded effect with different turbulence models and two ground conditions: fixed and moving ground condition,” in Proceedings of the International Conference on Boundary and Interior Layers, Göttingen, Germany, 2006.
  32. X. Hua, R. Gu, J.-F. Jin et al., “Numerical simulation and aerodynamic performance comparison between seagull aerofoil and NACA 4412 aerofoil under low-reynolds,” Advances in Natural Science, vol. 3, no. 2, pp. 244–250, 2010. View at Publisher · View at Google Scholar
  33. C. S. Jang, J. C. Ross, and R. M. Cummings, “Numerical investigation of an airfoil with a Gurney flap,” Aircraft Design, vol. 1, no. 2, pp. 75–88, 1998. View at Publisher · View at Google Scholar · View at Scopus
  34. F. Villalpando, M. Reggio, and A. Ilinca, “Numerical study of flow around iced wind turbine airfoil,” Engineering Applications of Computational Fluid Mechanics, vol. 6, no. 1, pp. 39–45, 2012. View at Publisher · View at Google Scholar · View at Scopus
  35. D. D. Pasquale, A. Rona, and S. J. Garrett, “A selective review of CFD transition models,” in Proceedings of the 39th AIAA Fluid Dynamics Conference, AIAA, San Antonio, Tex, USA, June 2009. View at Scopus
  36. L. Yuhong and L. Congming, “A numerical simulation of flow around a wind turbine airfoil based on transition model,” in Proceedings of the 1st World Non-Grid-Connected Wind Power and Energy Conference (WNWEC '09), pp. 1–5, Nanjing, China, September 2009. View at Publisher · View at Google Scholar · View at Scopus
  37. J. Yao, W. Yuan, J. Wang et al., “Numerical simulation of aerodynamic performance for two dimensional wind turbine airfoils,” in Proceedings of the International Conference on Advances in Computational Modeling and Simulation, vol. 31, pp. 80–86, Procedia Engineering, 2012. View at Publisher · View at Google Scholar
  38. A. C. Aranake, V. K. Lakshminarayan, and K. Duraisamy, “Assessment of transition model and CFD methodology for wind turbine flows,” in Proceedings of the 42nd AIAA Fluid Dynamics Conference and Exhibition, AIAA 2012-2720, New Orleans, La, USA, June 2012. View at Scopus
  39. J. L. Van Ingen, “The en method for transition prediction. Historical review of work at TU Delft,” in Proceedings of the 38th Fluid Dynamics Conference and Exhibit, AIAA 2008-3830, Seattle, Wash, USA, 2008.
  40. P. Bæk and P. Fuglsang, “Experimental detection of transition on wind turbine airfoils,” in Proceedings of the European Wind Energy Conference and Exhibition (EWEC '09), pp. 1628–1652, European Wind Energy Association, Marseille, France, March 2009. View at Scopus
  41. R. L. Fearn, “Airfoil aerodynamics using panel methods,” The Mathematica Journal, vol. 10, no. 4, p. 15, 2008. View at Publisher · View at Google Scholar
  42. E. N. Jacobs and A. Sherman, “Airfoil section characteristics as affected by variations of the Reynolds number,” NASA Technical Reports Server 586, National Advisory Committee for Aeronautics, Washington, DC, USA, 1937. View at Google Scholar
  43. R. M. Pinkerton, “The variation with reynolds number of pressure distribution over an airfoil section,” National Advisory Committee for Aeronautics, Technical Report 613, NASA Technical Reports Server, Washington, DC, USA, 1938. View at Google Scholar
  44. A. J. Wadcock, “Investigation of low-speed turbulent separated flow around airfoils,” NASA CR-177450, NASA, Washington, DC, USA, 1987. View at Google Scholar
  45. L. K. Loftin and H. A. Smith, “Aerodynamic characteristics of 15 NACA airfoil sections at seven Reynolds numbers from 0.7×106 to 9×106,” National Advisory Committee for Aeronautics, Technical Note 1945, NASA, Washington, DC, USA, 1949. View at Google Scholar
  46. M. Drela and M. B. Giles, “Viscous-inviscid analysis of transonic and low reynolds number airfoils,” AIAA Journal, vol. 25, no. 10, pp. 1347–1355, 1987. View at Publisher · View at Google Scholar · View at Scopus
  47. J. P. Johnson, G. Iaccarino, K.-H. Chen, and B. Khalighi, “Simulations of high reynolds number air flow over the NACA-0012 airfoil using the immersed boundary method,” Journal of Fluids Engineering, vol. 136, no. 4, Article ID 040901, 2014. View at Publisher · View at Google Scholar · View at Scopus
  48. W. A. Bacha and W. S. Ghaly, “Drag prediction in transitional flow over two-dimensional airfoils,” in Proceedings of the 44th Aerospace Sciences Meeting and Exhibit, AIAA 2006-248, Reno, Nev, USA, January 2006. View at Publisher · View at Google Scholar
  49. G. Kalitzin, G. Medic, G. Iaccarino, and P. Durbin, “Near-wall behavior of RANS turbulence models and implications for wall functions,” Journal of Computational Physics, vol. 204, no. 1, pp. 265–291, 2005. View at Publisher · View at Google Scholar · View at Scopus
  50. J. Quinn, “Effects of Reynolds number and leading-edge roughness on lift and drag characteristics of the NACA 653-418, a=1.0 airfoil section,” Confidential Bulletin L5J04, National Advisory Committee for Aeronautics, Washington, DC, USA, 1945. View at Google Scholar
  51. ANSYS, “Excellence in engineering simulation. Tips and tricks: accelerating CFD solutions,” ANSYS Advantage, vol. 5, no. 1, p. 47, 2011. View at Google Scholar
  52. GetData Graph Digitizer, Software Package, Ver. 2.26, 2013, http://getdata-graph-digitizer.com/index.php.
  53. H. Qu, J. Hu, and X. Gao, “The impact of Reynolds number on two-dimensional aerodynamic airfoil flow,” in Proceedings of the 1st World Non-Grid-Connected Wind Power and Energy Conference (WNWEC '09), pp. 121–124, Nanjing, China, September 2009. View at Publisher · View at Google Scholar · View at Scopus
  54. M. D. Maughmer and J. G. Coder, “Comparisons of theoretical methods for predicting airfoil aerodynamic characteristics,” U.S. Army Aviation Research, Development and Engineering Command RDECOM TR 10-D-106, 2010. View at Google Scholar
  55. F. G. Schmitt, “About Boussinesq's turbulent viscosity hypothesis: historical remarks and a direct evaluation of its validity,” Comptes Rendus Mécanique, vol. 335, no. 9-10, pp. 617–627, 2007. View at Publisher · View at Google Scholar · View at Scopus