Receptivity for a flat plate with a rounded leading-edge

The receptivity due to the interaction of an acoustic wave with a body which has a rounded leading edge and a region of low wall shear is considered. The body of interest is formed by a line source in a uniform stream. The nose radius, tau (n)*, of this body is characterised in the theory through a parameter A = 2 omega tau (n)*/3U(infinity) where omega is the frequency of the acoustic wave and U-infinity the mean how speed. By comparing asymptotic and numerical results, the receptivity coefficient, C-1, is calculated. The receptivity coefficient is seen to decrease dramatically with a small increase in nose radius, a local rise occurs about A = 0.035 and it then gradually declines to nearly zero when A = 0.1.