Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-28T17:09:58.018Z Has data issue: false hasContentIssue false

Boundary layer leading-edge receptivity to sound at incidence angles

Published online by Cambridge University Press:  25 September 2001

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

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
Copyright
© 2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)