Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes
A simple analytical method is developed to estimate frequencies of longitudinal modes in closed hard-walled ducts with discontinuities in a cross-sectional area. The approach adopted is based on a general expression for the acoustic impedance for a plane wave motion in a duct and conditions of imped...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2013-11-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/234 |
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| _version_ | 1849318806458990592 |
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| author | Mirosław MEISSNER |
| author_facet | Mirosław MEISSNER |
| author_sort | Mirosław MEISSNER |
| collection | DOAJ |
| description | A simple analytical method is developed to estimate frequencies of longitudinal modes in closed hard-walled ducts with discontinuities in a cross-sectional area. The approach adopted is based on a general expression for the acoustic impedance for a plane wave motion in a duct and conditions of impedance continuity at duct discontinuities. Formulae for mode frequencies in a form of transcendental equations were found for one, two and three discontinuities in a duct cross-section. An accuracy of the method was checked by a comparison of analytic predictions with calculation data obtained by use of numerical implementation based on the forced oscillator method with a finite difference algorithm. |
| format | Article |
| id | doaj-art-9dc580d0b13642b5bbf9da8b7347b29e |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2013-11-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-9dc580d0b13642b5bbf9da8b7347b29e2025-08-20T03:50:44ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2013-11-01353Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modesMirosław MEISSNER0Institute of Fundamental Technological Research Polish Academy of SciencesA simple analytical method is developed to estimate frequencies of longitudinal modes in closed hard-walled ducts with discontinuities in a cross-sectional area. The approach adopted is based on a general expression for the acoustic impedance for a plane wave motion in a duct and conditions of impedance continuity at duct discontinuities. Formulae for mode frequencies in a form of transcendental equations were found for one, two and three discontinuities in a duct cross-section. An accuracy of the method was checked by a comparison of analytic predictions with calculation data obtained by use of numerical implementation based on the forced oscillator method with a finite difference algorithm.https://acoustics.ippt.pan.pl/index.php/aa/article/view/234longitudinal duct modesdiscontinuity in duct cross-sectioncontraction ratio |
| spellingShingle | Mirosław MEISSNER Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes Archives of Acoustics longitudinal duct modes discontinuity in duct cross-section contraction ratio |
| title | Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes |
| title_full | Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes |
| title_fullStr | Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes |
| title_full_unstemmed | Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes |
| title_short | Effect of cross-sectional area discontinuities in closed hard-walled ducts on frequency of longitudinal modes |
| title_sort | effect of cross sectional area discontinuities in closed hard walled ducts on frequency of longitudinal modes |
| topic | longitudinal duct modes discontinuity in duct cross-section contraction ratio |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/234 |
| work_keys_str_mv | AT mirosławmeissner effectofcrosssectionalareadiscontinuitiesinclosedhardwalledductsonfrequencyoflongitudinalmodes |