The Utility of the Galerkin Method for the Acoustic Transmission in an Attenuating Duct

Author

James F. Unruh
Walter Eversman, Missouri University of Science and TechnologyFollow

Abstract

A comprehensive solution technique that can be applied to shear flow analysis for acoustic transmission in both hard and soft walled ducts with boundary layer dependence in one or two spatial directions is presented. The method, the weighted residual method of Galerkin, is applied in this paper to the two-dimensional channel for the purpose of ascertaining its applicability to more complicated geometries and with certain limitations appears to be a reliable method for treating both the hard and soft walled configurations. Even though the original intent was to establish the validity of the method for more general cases, it is considered to be a good alternative to the Runge-Kutta method in common use and indeed is superior for certain applications. © 1972.

Recommended Citation

J. F. Unruh and W. Eversman, "The Utility of the Galerkin Method for the Acoustic Transmission in an Attenuating Duct," Journal of Sound and Vibration, Elsevier, Jan 1972.

The definitive version is available at https://doi.org/10.1016/0022-460X(72)90559-7

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