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REVIEW ARTICLES: Receptivity Phenomena

Boundary Layer Receptivity to Sound: Navier-Stokes Computations

[+] Author and Article Information
H. L. Reed, N. Lin, W. S. Saric

Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106

Appl. Mech. Rev 43(5S), S175-S180 (May 01, 1990) doi:10.1115/1.3120798 History: Online April 30, 2009

Abstract

Here we discuss the computational modeling of the receptivity of the laminar boundary layer on a semi-infinite flat plate with an elliptic leading edge. The incompressible flow is computed in a spatial simulation using the full Navier-Stokes equations in general curvilinear coordinates. Finite differences are used in both space directions and in time. First, the steady basic state is obtained in a transient approach using spatially varying time steps. Then, small-amplitude acoustic disturbances of the freestream velocity are applied as unsteady boundary conditions, and the governing equations are solved time-accurately to evaluate the spatial and temporal developments of instability waves (Tollmien-Schlichting waves) in the boundary layer. A sharper leading edge is found to be less receptive to freestream disturbances.

Copyright © 1990 by American Society of Mechanical Engineers
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