Karthik, B. ; Krishna Mohanraj, R. ; Ramakrishnan, Rajesh ; Sujith, R. I. (1999) Exact solution for sound propagation in ducts with an axial mean temperature gradient and particulate damping Journal of the Acoustical Society of America, 106 (5). pp. 2391-2395. ISSN 0001-4966
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Official URL: http://asa.scitation.org/doi/abs/10.1121/1.428127
Related URL: http://dx.doi.org/10.1121/1.428127
Abstract
An exact solution for one-dimensional sound propagation in ducts in the presence of axial mean temperature gradient and particulate damping is presented in this paper. The acoustic wave equation is derived starting from the one-dimensional momentum and energy equation. The application of appropriate transformations leads to an analytically solvable Whittaker’s differential equation for the case of a linear mean temperature gradient and Bessel’s differential equation for the case of an exponential mean temperature gradient. The derived analytical solutions are used to investigate the dependence of the acoustic field in a duct on temperature gradient and particulate damping.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Acoustical Society of America. |
| ID Code: | 110057 |
| Deposited On: | 21 Dec 2017 10:54 |
| Last Modified: | 21 Dec 2017 10:54 |
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