The dual integral equation method in hydromechanical systems
Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace's equation, in the domain under consideration, the introduction of a potential function which provides useful combin...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04407153 |
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| author | N. I. Kavallaris V. Zisis |
| author_facet | N. I. Kavallaris V. Zisis |
| author_sort | N. I. Kavallaris |
| collection | DOAJ |
| description | Some hydromechanical systems are investigated by applying the dual
integral equation method. In developing this method we suggest
from elementary appropriate solutions of Laplace's equation, in
the domain under consideration, the introduction of a potential
function which provides useful combinations in cylindrical and
spherical coordinates systems. Since the mixed boundary conditions
and the form of the potential function are quite
general, we obtain integral equations with mth-order Hankel kernels. We then discuss a kind of approximate practicable
solutions. We note also that the method has important applications
in situations which arise in the determination of the temperature
distribution in steady-state heat-conduction problems. |
| format | Article |
| id | doaj-art-c18fd90fb8c34ef0b3f297688e3cf3f6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c18fd90fb8c34ef0b3f297688e3cf3f62025-02-03T01:33:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004644746010.1155/S1110757X04407153The dual integral equation method in hydromechanical systemsN. I. Kavallaris0V. Zisis1Department of Mathematics, Faculty of Applied Mathematics and Physics, National Technical University of Athens, Zografou Campus, Athens 15780, GreeceDepartment of Mathematics, Faculty of Applied Mathematics and Physics, National Technical University of Athens, Zografou Campus, Athens 15780, GreeceSome hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace's equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems. Since the mixed boundary conditions and the form of the potential function are quite general, we obtain integral equations with mth-order Hankel kernels. We then discuss a kind of approximate practicable solutions. We note also that the method has important applications in situations which arise in the determination of the temperature distribution in steady-state heat-conduction problems.http://dx.doi.org/10.1155/S1110757X04407153 |
| spellingShingle | N. I. Kavallaris V. Zisis The dual integral equation method in hydromechanical systems Journal of Applied Mathematics |
| title | The dual integral equation method in hydromechanical systems |
| title_full | The dual integral equation method in hydromechanical systems |
| title_fullStr | The dual integral equation method in hydromechanical systems |
| title_full_unstemmed | The dual integral equation method in hydromechanical systems |
| title_short | The dual integral equation method in hydromechanical systems |
| title_sort | dual integral equation method in hydromechanical systems |
| url | http://dx.doi.org/10.1155/S1110757X04407153 |
| work_keys_str_mv | AT nikavallaris thedualintegralequationmethodinhydromechanicalsystems AT vzisis thedualintegralequationmethodinhydromechanicalsystems AT nikavallaris dualintegralequationmethodinhydromechanicalsystems AT vzisis dualintegralequationmethodinhydromechanicalsystems |