Propagation of sound in inhomogeneous media: Exact, transient solutions in curvilinear geometries

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 125, Issue 2, 2003, Pages 133-136

  Bala Subrahmanyam, P ^a   Sujith, R I ^a   Lieuwen, Tim C ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; GEOMETRY; ONE DIMENSIONAL; PROBLEM SOLVING; WAVE EQUATIONS;

CURVILINEAR GEOMETRIES; CYLINDRICAL CO-ORDINATE SYSTEMS;

ACOUSTIC WAVE PROPAGATION;

EID: 0038681958     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.1553471     Document Type: Article

References (12)

1. Kinsler, L., Frey, A., Coppens, A., and Sanders, J., 1982, Fundamentals of Acoustics, John Wiley and Sons, New York.
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.
6. Karthik, B., Mohanraj, R., Ramakrishnan, R., and Sujith, R. I., 1999, “Exact Solution for Sound Propagation in Ducts with an Axial Mean Temperature Gradient and Particulate Damping,” J. Acoust. Soc. Am., 106, pp. 2391-2395.
7. Lighthill, J., 1978, Waves in Fluids, pp. 120-128, Cambridge University Press, U.K.
8. Dokumaci, E., 1998, “An Approximate Analytical Solution for Plane Sound Wave Transmission in Inhomogeneous Ducts,” J. Sound Vib., 217, pp. 853-867.
9. Cummings, A., 1977, “Ducts with Axial Temperature Gradients: An Approximate Solution for Sound Transmission and Generation,” J. Sound Vib., 51, pp. 55-67.
10. Crighton, D. G., Dowling, A. P., Ffowcs Williams, J. E., Heckl, M., and Leppington, F. G., 1992, Modern Methods in Analytical Acoustics, Springer Verlag: London.
11. Subrahmanyam, P., Sujith, R. I., and Lieuwen, T., 2001, “A Family of Exact Transient Solutions for Acoustic Wave Propagation in Inhomogeneous, Non-Uniform Area Ducts,” J. Sound Vib., 240(4), pp. 705-715.
12. Thompson, P. E., 1972, Compressible Fluid Dynamics, pp. 198-201, McGraw-Hill, Inc.