Numerical Investigations on Dynamic Stall of a Pitching-Plunging Helicopter Blade Airfoil
Effect of plunging motion on the pitch oscillating NACA0012 airfoil is investigated using computational fluid dynamics (CFD). A simulation model based on overset grid technology and k - ω shear stress transport (SST) turbulence model is established, and the numerical simulation results are compared with available experimental data and other simulations. Two cases of phase angle φ = 0, μ which represents the phase difference between the pitching and plunging motions of an airfoil are performed. Airfoil vortex generation, moving, and shedding are discussed in detail. Good agreements have been achieved with the available literature. The upward plunging motion made the equivalent angle of attack less than the actual one during pitching analysis. It is observed that the formation of the stall vortex is suppressed, resulting in a decrease in the lift coefficient and a delay of the stall angle. However, the downward plunging motion made the equivalent angle of attack higher the actual one.
[1] L. W. Carr, “Progress in analysis and prediction of dynamic stall,” Journal of Aircraft, vol. 25(1), pp. 6-17, 2012.
[2] W. Geissler, M. Raffel, G. Dietz, et al. “Helicopter aerodynamics with emphasis placed on dynamic stall,” in EUROMECH Colloquium 464b Wind Energy, DLR, 2007.
[3] T. Lee and S. Basu, “Measurement of unsteady boundary layer developed on an oscillating airfoil using multiple hot-film sensors,” Experiments in Fluids, Vol. 25(2), pp. 108–117, 1998.
[4] H. Sadeghi, and M. Mani, “Measurements of the flow field behind a helicopter blade using the hot-wire anemometry,” Journal of Information Communication Technology, Vol. 2, pp. 32–39, 2009.
[5] W. J. McCroskey, “The phenomenon of dynamic stall,” NASA Technical report TM-81624, 1981.
[6] W. J. McCroskey, “Unsteady airfoils,” Annual Review of Fluid Mechanics, Vol. 14(1), pp. 285-311, 2003.
[7] G. Barakos and D. Drikakis, “Computational study of unsteady turbulent flows around oscillating and ramping airfoil,” International Journal of Numerical Methods in Fluids, Vol. 42(2), pp. 163–186, 2003.
[8] W. Sheng, R. A. Galbraith, and F. N. Coton, “A modified dynamic stall model for low Mach numbers,” ASME Journal of Solar Energy Engineering, Vol. 130(3), pp. 310–313, 2008.
[9] K. Gharali and D. A. Johnson, “Numerical modeling of an S809 airfoil under dynamic stall, erosion and high reduced frequencies,” Applied Energy, Vol. 93 (5), pp. 45-52, 2012.
[10] P. Wernert, W. Geissler, M. Raffel and J. Kompenhans, “Experimental and numerical investigations of dynamic stall on a pitching airfoil,” AIAA Journal, Vol. 34 (5), pp. 982–989, 1996.
[11] E. D. V. Bigarella, J. L. F. Azevedo and O. A. F. Mello, “Normal force calculations for rocket-like configurations,” Journal of the Brazilian Society of Mechanical Science and Engineering, Vol. 26 (3), pp. 290-296, 2004.
[12] Reynolds-Averaged Navier-Stokes Equations, article, 2009, http://www.symscape.com/reynolds-averaged-navier-stokes-equations Accessed on 05/06/2017.
[13] F. R. Menter, “Zonal two equation k-ω turbulence models for aerodynamic flows,” AIAA-93-2906, 1993.
[14] F. R. Menter, “Two-equation eddy-viscosity models for engineering applications,” AIAA Journal, Vol. 32(8), pp. 1598-1605, 1994.
[15] S. S. Benadict Bensiger and N. Prasanth, “Analysis of bi-convex aerofoil using CFD software at supersonic and hypersonic speed,” Elixir Mechanical Engineering, Vol. 53, pp. 11695-11698, 2012.
[16] T. Lee and P. Gerontakos, “Investigation of flow over an oscillating airfoil,” Journal of Fluid Mechanics, Vol. 512, pp. 313-341, 2004.
[17] S. Wang, S., D. B. Ingham, L. Ma, et al., “Numerical investigations on dynamic stall of low Reynolds number flow around oscillating airfoils,” Computers and Fluids, Vol. 39(9), pp. 1529-1541, 2010.
[1] L. W. Carr, “Progress in analysis and prediction of dynamic stall,” Journal of Aircraft, vol. 25(1), pp. 6-17, 2012.
[2] W. Geissler, M. Raffel, G. Dietz, et al. “Helicopter aerodynamics with emphasis placed on dynamic stall,” in EUROMECH Colloquium 464b Wind Energy, DLR, 2007.
[3] T. Lee and S. Basu, “Measurement of unsteady boundary layer developed on an oscillating airfoil using multiple hot-film sensors,” Experiments in Fluids, Vol. 25(2), pp. 108–117, 1998.
[4] H. Sadeghi, and M. Mani, “Measurements of the flow field behind a helicopter blade using the hot-wire anemometry,” Journal of Information Communication Technology, Vol. 2, pp. 32–39, 2009.
[5] W. J. McCroskey, “The phenomenon of dynamic stall,” NASA Technical report TM-81624, 1981.
[6] W. J. McCroskey, “Unsteady airfoils,” Annual Review of Fluid Mechanics, Vol. 14(1), pp. 285-311, 2003.
[7] G. Barakos and D. Drikakis, “Computational study of unsteady turbulent flows around oscillating and ramping airfoil,” International Journal of Numerical Methods in Fluids, Vol. 42(2), pp. 163–186, 2003.
[8] W. Sheng, R. A. Galbraith, and F. N. Coton, “A modified dynamic stall model for low Mach numbers,” ASME Journal of Solar Energy Engineering, Vol. 130(3), pp. 310–313, 2008.
[9] K. Gharali and D. A. Johnson, “Numerical modeling of an S809 airfoil under dynamic stall, erosion and high reduced frequencies,” Applied Energy, Vol. 93 (5), pp. 45-52, 2012.
[10] P. Wernert, W. Geissler, M. Raffel and J. Kompenhans, “Experimental and numerical investigations of dynamic stall on a pitching airfoil,” AIAA Journal, Vol. 34 (5), pp. 982–989, 1996.
[11] E. D. V. Bigarella, J. L. F. Azevedo and O. A. F. Mello, “Normal force calculations for rocket-like configurations,” Journal of the Brazilian Society of Mechanical Science and Engineering, Vol. 26 (3), pp. 290-296, 2004.
[12] Reynolds-Averaged Navier-Stokes Equations, article, 2009, http://www.symscape.com/reynolds-averaged-navier-stokes-equations Accessed on 05/06/2017.
[13] F. R. Menter, “Zonal two equation k-ω turbulence models for aerodynamic flows,” AIAA-93-2906, 1993.
[14] F. R. Menter, “Two-equation eddy-viscosity models for engineering applications,” AIAA Journal, Vol. 32(8), pp. 1598-1605, 1994.
[15] S. S. Benadict Bensiger and N. Prasanth, “Analysis of bi-convex aerofoil using CFD software at supersonic and hypersonic speed,” Elixir Mechanical Engineering, Vol. 53, pp. 11695-11698, 2012.
[16] T. Lee and P. Gerontakos, “Investigation of flow over an oscillating airfoil,” Journal of Fluid Mechanics, Vol. 512, pp. 313-341, 2004.
[17] S. Wang, S., D. B. Ingham, L. Ma, et al., “Numerical investigations on dynamic stall of low Reynolds number flow around oscillating airfoils,” Computers and Fluids, Vol. 39(9), pp. 1529-1541, 2010.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:76377", author = "Xie Kai and Laith K. Abbas and Chen Dongyang and Yang Fufeng and Rui Xiaoting", title = "Numerical Investigations on Dynamic Stall of a Pitching-Plunging Helicopter Blade Airfoil ", abstract = "Effect of plunging motion on the pitch oscillating NACA0012 airfoil is investigated using computational fluid dynamics (CFD). A simulation model based on overset grid technology and k - ω shear stress transport (SST) turbulence model is established, and the numerical simulation results are compared with available experimental data and other simulations. Two cases of phase angle φ = 0, μ which represents the phase difference between the pitching and plunging motions of an airfoil are performed. Airfoil vortex generation, moving, and shedding are discussed in detail. Good agreements have been achieved with the available literature. The upward plunging motion made the equivalent angle of attack less than the actual one during pitching analysis. It is observed that the formation of the stall vortex is suppressed, resulting in a decrease in the lift coefficient and a delay of the stall angle. However, the downward plunging motion made the equivalent angle of attack higher the actual one.
", keywords = "Dynamic stall, pitching-plunging, computational fluid dynamics, helicopter blade rotor, airfoil.", volume = "11", number = "10", pages = "1639-6", }
