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
CONVECTED ACOUSTIC WAVE MOTION ALONG A CAPILLARY DUCT WITH AN AXIAL TEMPERATURE GRADIENT
โ Scribed by K.S. Peat
- Book ID
- 102612281
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 198 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
An analytical solution is presented of the problem of isentropic acoustic wave motion in a circular capillary tube in the presence of both mean flow and a background axial temperature gradient. The main application area is the study of the acoustic effects of catalytic converters. The solution makes use of a series expansion and is valid for only low Mach numbers of mean flow and small relative changes in the background temperature. It is shown that, to the order of approximation used, the solution reduces to that of previous work in both the wide-tube limit and in the limit of zero temperature gradient. A temperature gradient of the magnitude relevant to catalytic converters is shown to have a very marked affect upon the wave attenuation.
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