Solving a coupled field problem by eigenmode expansion and finite element method
The propagation of sound in fluids is governed by a set of coupled partial differential equations supplemented by an appropriate equation of state. In many cases of practical importance one restricts attention to the case of ideal fluids with vanishing transport coefficients. Then, the differential...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MULTIPHYSICS
2007-09-01
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| Series: | International Journal of Multiphysics |
| Online Access: | http://journal.multiphysics.org/index.php/IJM/article/view/27 |
| _version_ | 1827837432221925376 |
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| author | Bernd Baumann Marcus Wolff Bernd Kost Hinrich Groninga |
| author_facet | Bernd Baumann Marcus Wolff Bernd Kost Hinrich Groninga |
| author_sort | Bernd Baumann |
| collection | DOAJ |
| description | The propagation of sound in fluids is governed by a set of coupled partial differential equations supplemented by an appropriate equation of state. In many cases of practical importance one restricts attention to the case of ideal fluids with vanishing transport coefficients. Then, the differential equations decouple and sound propagation can be described by the wave equation. However, when loss mechanisms are important, this is in general not possible and the full set of equations has to be considered. For photoacoustic cells, an alternative procedure has been used for the calculation of the photoacoustic signal of cylinder shaped cells. The method is based on an expansion of the sound pressure in terms of eigenmodes and the incorporation of loss through quality factors of various physical origins. In this paper, we demonstrate that the method can successfully be applied to photoacoustic cells of unconventional geometry using finite element analysis. |
| first_indexed | 2024-03-12T06:42:46Z |
| format | Article |
| id | doaj.art-e7ce98f84fdc4555a64c7aac606a1b6a |
| institution | Directory Open Access Journal |
| issn | 1750-9548 2048-3961 |
| language | English |
| last_indexed | 2024-03-12T06:42:46Z |
| publishDate | 2007-09-01 |
| publisher | MULTIPHYSICS |
| record_format | Article |
| series | International Journal of Multiphysics |
| spelling | doaj.art-e7ce98f84fdc4555a64c7aac606a1b6a2023-09-03T00:53:57ZengMULTIPHYSICSInternational Journal of Multiphysics1750-95482048-39612007-09-011310.1260/17509540778221923851Solving a coupled field problem by eigenmode expansion and finite element methodBernd Baumann0Marcus Wolff1Bernd Kost2Hinrich Groninga3Hamburg University of Applied Sciences, Faculty of Engineering and Computer Science, Berliner Tor 21, D-20099 Hamburg, GermanyHamburg University of Applied Sciences, Faculty of Engineering and Computer Science, Berliner Tor 21, D-20099 Hamburg, GermanyHamburg University of Applied Sciences, Faculty of Engineering and Computer Science, Berliner Tor 21, D-20099 Hamburg, GermanyPAS-Tech GmbH, Bahnhofstrasse 3, D-19246 Zarrentin, GermanyThe propagation of sound in fluids is governed by a set of coupled partial differential equations supplemented by an appropriate equation of state. In many cases of practical importance one restricts attention to the case of ideal fluids with vanishing transport coefficients. Then, the differential equations decouple and sound propagation can be described by the wave equation. However, when loss mechanisms are important, this is in general not possible and the full set of equations has to be considered. For photoacoustic cells, an alternative procedure has been used for the calculation of the photoacoustic signal of cylinder shaped cells. The method is based on an expansion of the sound pressure in terms of eigenmodes and the incorporation of loss through quality factors of various physical origins. In this paper, we demonstrate that the method can successfully be applied to photoacoustic cells of unconventional geometry using finite element analysis.http://journal.multiphysics.org/index.php/IJM/article/view/27 |
| spellingShingle | Bernd Baumann Marcus Wolff Bernd Kost Hinrich Groninga Solving a coupled field problem by eigenmode expansion and finite element method International Journal of Multiphysics |
| title | Solving a coupled field problem by eigenmode expansion and finite element method |
| title_full | Solving a coupled field problem by eigenmode expansion and finite element method |
| title_fullStr | Solving a coupled field problem by eigenmode expansion and finite element method |
| title_full_unstemmed | Solving a coupled field problem by eigenmode expansion and finite element method |
| title_short | Solving a coupled field problem by eigenmode expansion and finite element method |
| title_sort | solving a coupled field problem by eigenmode expansion and finite element method |
| url | http://journal.multiphysics.org/index.php/IJM/article/view/27 |
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