TY - JOUR

T1 - Effect of leading-edge geometry and aerodynamic loading on receptivity to acoustic disturbances.

AU - Hammerton, P. W.

AU - Kerschen, E. J.

PY - 2000

Y1 - 2000

N2 - A theoretical analysis is presented for the effects of the nose radius and aerodynamic loading of a body on leading-edge receptivity. We consider linear, time-harmonic disturbances to a two-dimensional, low Mach number flow past a cambered airfoil with parabolic leading edge. Asymptotic methods based on large Reynolds number are used, supplemented by numerical results. The body nose radius enters the theory through a Strouhal number S, and the mean aerodynamic loading enters the theory through a leading-edge loading parameter μ. For most values of μ, the receptivity level decreases with increasing S. At fixed S, the introduction of modest aerodynamic loading produces a reduction in receptivity, but as the loading is increased towards the point at which the mean boundary-layer flow separates, a marked increase in receptivity coefficient is observed. Obliquely incident acoustic waves are found to produce much higher receptivity levels than parallel waves.

AB - A theoretical analysis is presented for the effects of the nose radius and aerodynamic loading of a body on leading-edge receptivity. We consider linear, time-harmonic disturbances to a two-dimensional, low Mach number flow past a cambered airfoil with parabolic leading edge. Asymptotic methods based on large Reynolds number are used, supplemented by numerical results. The body nose radius enters the theory through a Strouhal number S, and the mean aerodynamic loading enters the theory through a leading-edge loading parameter μ. For most values of μ, the receptivity level decreases with increasing S. At fixed S, the introduction of modest aerodynamic loading produces a reduction in receptivity, but as the loading is increased towards the point at which the mean boundary-layer flow separates, a marked increase in receptivity coefficient is observed. Obliquely incident acoustic waves are found to produce much higher receptivity levels than parallel waves.

U2 - 10.1007/978-3-662-03997-7_3

DO - 10.1007/978-3-662-03997-7_3

M3 - Conference article

SP - 37

EP - 42

JO - Proceedings of Fourth I.U.T.A.M. Symposium on Transition

JF - Proceedings of Fourth I.U.T.A.M. Symposium on Transition

ER -