CFD of Oscillating Airfoil Pitch Cycle by using PISO Algorithm

This research paper presents the CFD analysis of oscillating airfoil during pitch cycle. Unsteady subsonic flow is simulated for pitching airfoil at Mach number 0.283 and Reynolds number 3.45 millions. Turbulent effects are also considered for this study by using K-ω SST turbulent model. Two-dimensional unsteady compressible Navier-Stokes code including two-equation turbulence model and PISO pressure velocity coupling is used. Pressure based implicit solver with first order implicit unsteady formulation is used. The simulated pitch cycle results are compared with the available experimental data. The results have a good agreement with the experimental data. Aerodynamic characteristics during pitch cycles have been studied and validated.

Authors:

• Muhammad Amjad Sohail
• Rizwan Ullah

Keywords:

• Angle of attack
• Centre of pressure
• subsonic flow
• pitching moment coefficient
• turbulence mode

References:

[1] D. G. Mabey, 1999. Unsteady Aero-dynamics: Restrospect and prospect,
Aero-nautical Journal, Vol. 103, No. 1019, Review Paper No. 003, 1 -
18..
[2] W. J. McCroskey, 1982. Unsteady airfoils, Ann. Rev. Fluid Mech., Vol.
14, 285 - 311.
[3] W. J. McCroskey, 1988. Some Rotorcraft Applications of
Computational Fluid Dynamics, NASA TM 100066.
[4] W. Shyy, M. Berg and D. Lyungvist,, 1999. Flapping and Flexible
Wings for Biological and Micro Air Vehicles, Progress in Aerospace
Sciences, Vol. 35, No. 5, pp. 455 - 505.
[5] T. J. Mueller(ed.), 2001. Fixed and Flapping Wing Aerodynamics for
Micro Air Vehicles, Progress in Aeronautics and Astronautics, AIAA,
Reston, VA, Vol. 195.
[6] S. Yang, S. Luo and F. Liu, 2006. Optimization of Unstalled Pitching
and Plunging Motion of an Airfoil, AIAA paper, submitted to 44th AIAA
Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 1055..
[7] T. Theodorsen, 1934. General theory of aerodynamic instability and the
mechanism of flutter, NACA REPORT No. 496.
[8] I. E. Garrick, 1936. Propulsion of a flapping and oscillating airfoil,
NACA Report No. 567.
[9] I. H. Tuncer and M. F. Platzer, 2000. Computational study of flapping
airfoil Aerodynamics, Journal of Aircraft, Vol. 37, pp. 514 - 520.
[10] K. Isogai, Y. Shinmoto and Y Watanabe, 1999. Effects of Dynamic
Stall on Propulsive Efficiency and Thrust of Flapping Airfoil, AIAA
Journal, Vol. 37, pp. 1145 - 1151.
[11] Ramamurti, R. and Sandberg, W., 2001. Simulation of Flow about
Flapping Airfoils using Finite Element Incompressible Flow
Solver,AIAA Journal, Vol. 39, pp. 253 - 260.
[12] J. M. Anderson, K. Streitlien, D. S. Barrett and M.S.Triantafyllou,
1998. Oscillating foils of high propulsive efficiency,J. Fluid Mech., 360,
pp. 41 - 72.
[13] K. Siva Kumar, Sharanappa V. Sajjan " Unsteady Flow past a Combined
Pitching and Plunging Aerofoil using an Implicit RANS Solver 2011
International Conference on Mechanical and Aerospace Engineering
(CMAE 2011)
[14] R. I. Issa. Solution of Implicitly Discretized Fluid Flow Equations by
Operator Splitting. J. Comput. Phys., 62:40-65, 1986