Ducts with axial temperature gradients: An approximate solution for sound transmission and generation
โ Scribed by A. Cummings
- Book ID
- 104153989
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 748 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
This paper is concerned with rigid-walled ducts in which axial temperature gradients exist. An acoustic wave equation is derived (an independently specified source distribution is assumed to be present) and its solution is discussed. It is shown that an approximate analytical solution, valid at sufficiently high frequencies, may be obtained for the fundamental mode of propagation, and that this has certain advantages over a purely numerical solution. Experimental results on sound transmission and generation are compared to numerical, and approximate analytical, theoretical results and the agreement is shown to be good.
๐ SIMILAR VOLUMES
A general approximate analytical solution is presented for transmission of plane sound waves in subsonic low Mach number ducts with axial ambient gradients and cross-sectional area variations. This is essentially a high frequency approximation and explicit criteria are presented for the estimation o
In this paper an approach is presented for obtaining exact analytical solutions for sound propagation in ducts with an axial mean temperature gradient. The one-dimensional wave equation for ducts with an axial mean temperature gradient is derived. The analysis neglects the effects of mean flow, and