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.
Skip Nav Destination
Article navigation
April 2003
Technical Papers
Propagation of Sound in Inhomogeneous Media: Exact, Transient Solutions in Curvilinear Geometries
P. Bala Subrahmanyam,
P. Bala Subrahmanyam
Department of Aerospace Engineering, Indian Institute of Technology, Madras, India 600036
Search for other works by this author on:
R. I. Sujith,
R. I. Sujith
Department of Aerospace Engineering, Indian Institute of Technology, Madras, India 600036
Search for other works by this author on:
Tim C. Lieuwen
Tim C. Lieuwen
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150
Search for other works by this author on:
P. Bala Subrahmanyam
Department of Aerospace Engineering, Indian Institute of Technology, Madras, India 600036
R. I. Sujith
Department of Aerospace Engineering, Indian Institute of Technology, Madras, India 600036
Tim C. Lieuwen
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 2001; revised September 2002. Associate Editor: R. Ohayon.
J. Vib. Acoust. Apr 2003, 125(2): 133-136 (4 pages)
Published Online: April 1, 2003
Article history
Received:
March 1, 2001
Revised:
September 1, 2002
Online:
April 1, 2003
Citation
Subrahmanyam , P. B., Sujith, R. I., and Lieuwen, T. C. (April 1, 2003). "Propagation of Sound in Inhomogeneous Media: Exact, Transient Solutions in Curvilinear Geometries ." ASME. J. Vib. Acoust. April 2003; 125(2): 133–136. https://doi.org/10.1115/1.1553471
Download citation file:
Get Email Alerts
Related Articles
Wave Motion. Cambridge Texts in Applied Mechanics
Appl. Mech. Rev (January,2002)
Nonlinear Hyperbolic Waves in Multi-Dimensions. Monographs and Surveys in Pure and Applied Mathematics, Vol. 121.
Appl. Mech. Rev (July,2002)
Mathematics of Wave Propagation
Appl. Mech. Rev (September,2001)
Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems
Appl. Mech. Rev (November,2001)
Related Proceedings Papers
Related Chapters
Superclose Analysis of a Nonconforming Finite Element for Nonlinear Viscoelastic Wave Equation
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)
Application of the Yang Laplace Transforms to Solution to Nonlinear Fractional Wave Equation with Local Fractional Derivative
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Occlusion Identification and Relief within Branched Structures
Biomedical Applications of Vibration and Acoustics in Therapy, Bioeffect and Modeling