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Boundary layer leading-edge receptivity to sound at incidence angles

Published online by Cambridge University Press:  25 September 2001

ERCAN ERTURK  and
THOMAS C. CORKE
ERCAN ERTURK
Affiliation:
College of Engineering, Gebze Institute of Technology, Gebze, Kocaeli 41400, Turkey
THOMAS C. CORKE
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, IN 46556, USA
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Abstract

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 ] α2 [les ] 180°) of the acoustic waves on the leading-edge receptivity. The results at α2 = 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 α2 = 90°, and an asymmetric variation in the receptivity with sound incidence angle, with minima at angles which were slightly less than α2 = 0° and α2 = 180°.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 444 , 10 October 2001 , pp. 383 - 407
Copyright
© 2001 Cambridge University Press

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