Approximate methods for the solution of the equation of acoustic wave propagation in horns
In practice, there are acoustic horns designed for which the equation of wave propagation has no exact solution of compact form. The need, therefore, arises for approximate solutions, to be used. Accordingly, this investigation sought optimum methods for an approximate solution of the wave equation...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2016-03-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3313 |
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| author | Tomasz ZAMORSKI Roman WYRZYKOWSKI |
| author_facet | Tomasz ZAMORSKI Roman WYRZYKOWSKI |
| author_sort | Tomasz ZAMORSKI |
| collection | DOAJ |
| description | In practice, there are acoustic horns designed for which the equation of wave propagation has no exact solution of compact form. The need, therefore, arises for approximate solutions, to be used. Accordingly, this investigation sought optimum methods for an approximate solution of the wave equation of a horn. It was assumed that the optimum method should combine the requirement of relatively little time-consuming calculation and the possibility of physical interpretation of the approximate formulae obtained. It was found that the WKB approximation which is recommended in the literature and has been taken directly from quantum mechanics, in general does not satisfy these requirements, and in addition it cannot be used at all in some cases. Therefore, another two approximate methods were developed and their properties analyzed. |
| format | Article |
| id | doaj-art-a85375e1cbb642e586f64b127f6d324c |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-a85375e1cbb642e586f64b127f6d324c2025-08-20T03:27:56ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2016-03-0163Approximate methods for the solution of the equation of acoustic wave propagation in hornsTomasz ZAMORSKI0Roman WYRZYKOWSKI1Institute of Physics, Higher Pedagogical SchoolInstitute of Physics, Higher Pedagogical SchoolIn practice, there are acoustic horns designed for which the equation of wave propagation has no exact solution of compact form. The need, therefore, arises for approximate solutions, to be used. Accordingly, this investigation sought optimum methods for an approximate solution of the wave equation of a horn. It was assumed that the optimum method should combine the requirement of relatively little time-consuming calculation and the possibility of physical interpretation of the approximate formulae obtained. It was found that the WKB approximation which is recommended in the literature and has been taken directly from quantum mechanics, in general does not satisfy these requirements, and in addition it cannot be used at all in some cases. Therefore, another two approximate methods were developed and their properties analyzed.https://acoustics.ippt.pan.pl/index.php/aa/article/view/3313 |
| spellingShingle | Tomasz ZAMORSKI Roman WYRZYKOWSKI Approximate methods for the solution of the equation of acoustic wave propagation in horns Archives of Acoustics |
| title | Approximate methods for the solution of the equation of acoustic wave propagation in horns |
| title_full | Approximate methods for the solution of the equation of acoustic wave propagation in horns |
| title_fullStr | Approximate methods for the solution of the equation of acoustic wave propagation in horns |
| title_full_unstemmed | Approximate methods for the solution of the equation of acoustic wave propagation in horns |
| title_short | Approximate methods for the solution of the equation of acoustic wave propagation in horns |
| title_sort | approximate methods for the solution of the equation of acoustic wave propagation in horns |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3313 |
| work_keys_str_mv | AT tomaszzamorski approximatemethodsforthesolutionoftheequationofacousticwavepropagationinhorns AT romanwyrzykowski approximatemethodsforthesolutionoftheequationofacousticwavepropagationinhorns |