Description:
<jats:p>The leading-edge receptivity to acoustic waves of two-dimensional parabolic bodies
was investigated using a spatial solution of the Navier–Stokes equations in vorticity/streamfunction
form in parabolic coordinates. The free stream is composed of a
uniform flow with a superposed periodic velocity fluctuation of small amplitude. The
method follows that of Haddad & Corke (1998) in which the solution for the basic
flow and linearized perturbation flow are solved separately. We primarily investigated
the effect of frequency and angle of incidence (−180° [les ] α<jats:sub>2</jats:sub> [les ] 180°) of the acoustic
waves on the leading-edge receptivity. The results at α<jats:sub>2</jats:sub> = 0° were found to be in
quantitative agreement with those of Haddad & Corke (1998), and substantiated the
Strouhal number scaling based on the nose radius. The results with sound waves at
angles of incidence agreed qualitatively with the analysis of Hammerton & Kerschen
(1996). These included a maximum receptivity at α<jats:sub>2</jats:sub> = 90°, and an asymmetric variation
in the receptivity with sound incidence angle, with minima at angles which were
slightly less than α<jats:sub>2</jats:sub> = 0° and α<jats:sub>2</jats:sub> = 180°.</jats:p>