The boundary condition at an impedance wall in a duct with a steady mean #ow requiring the speci"cation of the normal component of acoustic particle velocity is examined. It is found that when implemented in the weak formulation of the "nite element method it can be considerably simpli"ed. The bound
ON THE COHERENCE OF THE SOUND FIELD IN A CIRCULAR DUCT WITH UNIFORM MEAN FLOW
โ Scribed by A. Michalke; F. Arnold; F. Holste
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 410 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The sound pressure generated by a point mass monopole with arbitrary time dependence in a circular duct with uniform mean flow has been derived in the time domain. In a further step, the cross-correlation function and the cross-spectral density of the sound pressure between two microphone positions have been calculated. It is found that the coherence function of the sound pressure generated by a single source is unity. This is different when the sound pressure is generated by two different uncorrelated sources. Then the coherence function can be smaller than unity, indicating that the sound field in this case is not completely coherent. Furthermore, a method has been proposed to check whether or not the sound field in a circular duct is completely coherent. The theoretical results have been verified by measurements in a circular duct without mean flow.
๐ SIMILAR VOLUMES
An approximate method for calculating the noise generated by a turbulent #ow within a semi-in"nite duct of arbitrary cross-section is developed. It is based on a previously derived high-frequency solution to Lilley's equation, which describes the sound propagation in a transversely sheared mean #ow.