Representation of a 1 N Power Law Boundary Layer in the Sheared Flow Acoustic Transmission Problem

Author

Walter Eversman, Missouri University of Science and TechnologyFollow

Abstract

A method is developed by which a 1 N power law boundary layer profile can be conveniently represented in studies of the transmission of sound in ducts with sheared flow. The method consists of an analytical solution near the duct walls which circumvents the singular behaviour in the conventional numerical solution arising because of the infinite velocity gradient introduced by the assumed boundary layer profile. Numerical results are compared with results obtained using the sinusoidal boundary layer profile. It is found that at a given boundary layer thickness the 1 N power law boundary layer behaves like a much thinner shear layer of sinusoidal type. © 1972.

Recommended Citation

W. Eversman, "Representation of a 1 N Power Law Boundary Layer in the Sheared Flow Acoustic Transmission Problem," Journal of Sound and Vibration, Elsevier, Jan 1972.

The definitive version is available at https://doi.org/10.1016/0022-460X(72)90717-1

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-460X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1972 Elsevier, All rights reserved.

Publication Date

01 Jan 1972