The work is focused on numeric analysis of compressible flow around National Renewable Energy Laboratory (NREL) phase VI wind turbine blade airfoil S809. Although wind turbine airfoils are low Reynolds number airfoils, a reasonable investigation of compressible flow under extreme condition might be helpful. A subsonic flow (mach no. ) has been considered for this analysis and the impacts of this flow under seven different angles of attack have been determined. The results show that shock takes place just after the mid span at the top surface and just before the mid span at the bottom surface at zero angle of attack. Slowly the shock waves translate their positions as angle of attack increases. A relative translation of the shock waves in upper and lower face of the airfoil are presented. Variation of Turbulent viscosity ratio and surface Y+ have also been determined. A k-ω SST turbulent model is considered and the commercial CFD code ANSYS FLUENT is used to find the pressure coefficient (Cp) as well as the lift (CL) and drag coefficients (CD). A graphical comparison of shock propagation has been shown with different angle of attack. Flow separation and stream function are also determined. 1. Introduction According to the US Department of Energy the combustion of fossil fuels results in a net increase of 10.65 billion ton of atmospheric carbon dioxide every year [1] which has an enormous impact on environmental imbalance. As a result more focus on conversion of energy from alternate source has been given for the last few decades. In near future wind will be the most reliable green energy in the history of mankind. The field of wind energy started to develop in 1970s after the oil crisis, with a large infusion of research money in the United States, Denmark, and Germany to find alternative resource of energy especially wind energy [2]. To design the blade of a wind turbine proper assessment of aerodynamic characteristics of airfoil plays the most important role. The most effective way to design the blade is to have accurate experimental data set for the correct airfoil. But such data set are not always available and the designer must rely on calculated data such as simulated data generated by large-scale CFD code. Recent applications of CFD to solve the Navier Stokes equations for wind-turbine airfoils are reflected in the works of Chang et al. [3]. They used their in-house code to solve the 2D flow field around the S805 and S809 airfoils with attached flow and the S809 airfoil with separated flow. Computations were made with the Baldwin-Lomax, Chein’s
References
[1]
US Government, Department of Energy, US Department of Energy on Green House Gases, 2009, http://www.eia.doe.gov.
[2]
P. Jain, Wind Energy Engineering, chapter 1, McGraw Hill, New York, NY, USA, 2011.
[3]
Y. L. Chang, S. L. Yang, and O. Arici, “Flow field computation of the NREL S809 airfoil using various turbulence models,” in Energy Week-96, Book VIII, Volume I: Wind Energy, pp. 172–178, ASME, 1996.
[4]
K. Y. Chien, “Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model,” AIAA Journal, vol. 20, no. 1, pp. 33–38, 1982.
[5]
D. C. Wilcox, Turbulence Modeling for CFD, DCW Industries, La Ca?ada, Calif, USA, 1994.
[6]
L. Chen, C. Xu, and X. Lu, “Numerical investigation of the compressible flow past an aerofoil,” Journal of Fluid Mechanics, vol. 643, pp. 97–126, 2010.
[7]
H. Tijdeman and R. Seebass, “Transonic flow past oscillating airfoils,” Annual Review of Fluid Mechanics, vol. 12, pp. 181–222, 1980.
[8]
B. H. K. Lee, “Self-sustained shock oscillations on airfoils at transonic speeds,” Progress in Aerospace Sciences, vol. 37, no. 2, pp. 147–196, 2001.
[9]
M. Wang, J. B. Freund, and S. K. Lele, “Computational prediction of flow-generated sound,” Annual Review of Fluid Mechanics, vol. 38, pp. 483–512, 2006.
[10]
J. G. Marvin, L. L. Levy, and H. L. Seegmiller, “Turbulence modelling for unsteady transonic flows,” AIAA Journal, vol. 18, no. 5, pp. 489–496, 1980.
[11]
C. L. Rumsey, M. D. Sanetrik, R. T. Biedron, N. D. Melson, and E. B. Parlette, “Efficiency and accuracy of time-accurate turbulent Navier-Stokes computations,” Computers and Fluids, vol. 25, no. 2, pp. 217–236, 1996.
[12]
S. Deck, “Numerical simulation of transonic buffet over a supercritical airfoil,” AIAA Journal, vol. 43, no. 7, pp. 1556–1566, 2005.
[13]
A. J. Smits and J. P. Dussauge, Turbulent Shear Layers in Supersonic Flow, American Institute of Physics, College Park, Md, USA, 1996.
[14]
P. R. Spalart, “Detached-eddy simulation,” Annual Review of Fluid Mechanics, vol. 41, pp. 181–202, 2009.
[15]
X. Lu, S. Wang, H. Sung, S. Hsieh, and V. Yang, “Large-eddy simulations of turbulent swirling flows injected into a dump chamber,” Journal of Fluid Mechanics, vol. 527, pp. 171–195, 2005.
[16]
A. Ahlstrom, Aeroelastic simulation of wind turbine dynamics [Ph.D. thesis], Royal Institute of Technology, Department of Mechanics, Stockholm, Sweden, 2005.
[17]
F. R. Menter, “Zonal two equation k-ω turbulence models for aerodynamic flows,” AIAA Paper 93-2906, 1993.
[18]
F. R. Menter, “Two-equation eddy-viscosity turbulence models for engineering applications,” AIAA Journal, vol. 32, no. 8, pp. 1598–1605, 1994.
[19]
J. L. Tangler and D. M. Somers, NREL Airfoil Families for HAWTs, Doc, AWEA, New York, NY, USA, 1995.
W. Sutherland, “The viscosity of gases and molecular force,” Philosophical Magazine Series 5, vol. 36, no. 223, pp. 507–531, 1893.
[23]
S. V. Patankar and D. B. Spalding, “A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows,” International Journal of Heat and Mass Transfer, vol. 15, no. 10, pp. 1787–1806, 1972.
[24]
D. M. Somers, Design and Experimental Results for the S809 Airfoil, Airfoils, State College, Pa, USA, 1989.
[25]
S. M. Salim and S. C. Cheah, “Wall Y+ strategy for dealing with wall bounded turbulent flow,” in Proceedings of the International MultiConference of Engineers and Computer Science (IMECS '09), vol. 2, March 2009.