Propagation of Sound in Inhomogeneous Media: Exact, Transient Solutions in Curvilinear Geometries-Reference-Cited by-同舟云学术

Propagation of Sound in Inhomogeneous Media: Exact, Transient Solutions in Curvilinear Geometries

Published:2003-04-01 Issue:2 Volume:125 Page:133-136
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Subrahmanyam P. Bala¹,Sujith R. I.¹,Lieuwen Tim C.²

Affiliation:

1. Department of Aerospace Engineering, Indian Institute of Technology, Madras, India 600036

2. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150

Abstract

Exact solutions for one-dimensional, transient acoustic wave propagation in curvilinear geometries with mean temperature variations are presented in this paper. These solutions are obtained by using a transformation of the spatial and acoustic variables in a manner suggested by the WKB approximation. The analysis is performed for spherical and cylindrical co-ordinate systems. Temperature profiles admitting exact traveling wave type solutions are derived. Although these solutions resemble the approximate, “high frequency,” WKB form of solution of the wave equation, they have the interesting property that they are exact, regardless of the scale of the acoustic disturbance relative to that of the inhomogeneity. Calculations showing the propagation of waves in cylindrical and spherical geometries are presented.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/125/2/133/5826874/133_1.pdf

Reference12 articles.

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2. Eisenberg, N., and Kao, T., 1969, “Propagation of Sound through a Variable Area Duct with a Steady Compressible Flow,” J. Acoust. Soc. Am., 49, pp. 169–175.

3. Sujith, R. I., Waldherr, G. A., and Zinn, B. T., 1995, “An Exact Solution for One-Dimensional Acoustic Fields in Ducts with an Axial Temperature Gradient,” J. Sound Vib., 184, pp. 389–402.

4. Kumar, B. M., and Sujith, R. I., 1998, “Exact Solution for One-Dimensional Acoustic Fields in Ducts with Polynomial Mean Temperature Profiles,” ASME J. Vibr. Acoust., 120, pp. 965–969.

5. Karthik, B., Manoj Kumar, B., and Sujith, R. I., 2000, “Exact Solutions to One-Dimensional Acoustic Fields with Temperature Gradient and Mean Flow,” J. Acoust. Soc. Am., 108, pp. 38–43.

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