Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct
The paper presents, basing on the results obtained for the single tone and multitone excitations, the theory of the white noise propagation in and radiation from a cylindrical duct. The duct is assumed to be semi-infinite and hard walled, the excitation axisymmetrical and with no mean flow. Solutio...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-01-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/964 |
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| author | A. SNAKOWSKA H. IDCZAK |
| author_facet | A. SNAKOWSKA H. IDCZAK |
| author_sort | A. SNAKOWSKA |
| collection | DOAJ |
| description | The paper presents, basing on the results obtained for the single tone and multitone excitations, the theory of the white noise propagation in and radiation from a cylindrical duct. The duct is assumed to be semi-infinite and hard walled, the excitation axisymmetrical and with no mean flow.
Solution of the wave equation with adequate boundary condition constitutes a base of the carried out analysis. It allows for propagation of certain number of wave modes, which cut-on frequencies are below the excitation frequency. Anyhow, when more than one mode are present the analysis of the sound field complicates, as it requires the knowledge of modes complex amplitudes.
To make any quantitative comparison between the theory and experiment possible two extra assumptions are incorporated into the theory: on the equipartition of the density of energy between all modes admissible at a given frequency and on their random phase. The second assumption results in the necessity of describing the acoustical field by means of the expected value, the variance and the standard deviation of the pressure, the intensity, the power output etc.
The paper contains the directivity characteristics of the pressure and the intensity and evaluation of the power output for the one third octave (tierce) band white noise. |
| format | Article |
| id | doaj-art-165a1f0604fc4037a256facd0033ad95 |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-165a1f0604fc4037a256facd0033ad952025-08-20T03:25:26ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-01-01224Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical ductA. SNAKOWSKA0H. IDCZAK1Institute of Physics, Pedagogical UniversityInstitute of Telecommunication and Acoustics, Wrocław Technical UniversityThe paper presents, basing on the results obtained for the single tone and multitone excitations, the theory of the white noise propagation in and radiation from a cylindrical duct. The duct is assumed to be semi-infinite and hard walled, the excitation axisymmetrical and with no mean flow. Solution of the wave equation with adequate boundary condition constitutes a base of the carried out analysis. It allows for propagation of certain number of wave modes, which cut-on frequencies are below the excitation frequency. Anyhow, when more than one mode are present the analysis of the sound field complicates, as it requires the knowledge of modes complex amplitudes. To make any quantitative comparison between the theory and experiment possible two extra assumptions are incorporated into the theory: on the equipartition of the density of energy between all modes admissible at a given frequency and on their random phase. The second assumption results in the necessity of describing the acoustical field by means of the expected value, the variance and the standard deviation of the pressure, the intensity, the power output etc. The paper contains the directivity characteristics of the pressure and the intensity and evaluation of the power output for the one third octave (tierce) band white noise.https://acoustics.ippt.pan.pl/index.php/aa/article/view/964 |
| spellingShingle | A. SNAKOWSKA H. IDCZAK Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct Archives of Acoustics |
| title | Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct |
| title_full | Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct |
| title_fullStr | Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct |
| title_full_unstemmed | Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct |
| title_short | Theoretical and experimental analysis of the band noise radiated from a hard-walled cylindrical duct |
| title_sort | theoretical and experimental analysis of the band noise radiated from a hard walled cylindrical duct |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/964 |
| work_keys_str_mv | AT asnakowska theoreticalandexperimentalanalysisofthebandnoiseradiatedfromahardwalledcylindricalduct AT hidczak theoreticalandexperimentalanalysisofthebandnoiseradiatedfromahardwalledcylindricalduct |