Wave loadings on a vertical cylinder due to heave motion
Wave forces and moments due to scattering and radiation for a vertical circular cylinder heaving in water of finite depth are derived analytically. These are derived from the total velocity potential which can be decomposed as two velocity potentials; one due to scattering in the presence of an inci...
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000202 |
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| _version_ | 1832556746270310400 |
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| author | D. D. Bhatta M. Rahman |
| author_facet | D. D. Bhatta M. Rahman |
| author_sort | D. D. Bhatta |
| collection | DOAJ |
| description | Wave forces and moments due to scattering and radiation for a vertical circular
cylinder heaving in water of finite depth are derived analytically. These are derived from the total
velocity potential which can be decomposed as two velocity potentials; one due to scattering in the
presence of an incident wave on fixed structure (diffraction problem), and the other due to radiation
by the heave motion on calm water (radiation problem). For each part, the velocity potential is
derived by considering two regions, namely, interior region and exterior region. The complex matrix
equations are solved numerically to determine the unknown coefficients to compute the wave loads.
Some numerical results are presented for different depth to radius and draft to radius ratios. |
| format | Article |
| id | doaj-art-5d9123cb87f1405aae13ff5bfa5bbde2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5d9123cb87f1405aae13ff5bfa5bbde22025-02-03T05:44:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118115117010.1155/S0161171295000202Wave loadings on a vertical cylinder due to heave motionD. D. Bhatta0M. Rahman1Department of Applied Mathematics, Technical University of Nova Scotia, Halifax B3J 2X4, CanadaDepartment of Applied Mathematics, Technical University of Nova Scotia, Halifax B3J 2X4, CanadaWave forces and moments due to scattering and radiation for a vertical circular cylinder heaving in water of finite depth are derived analytically. These are derived from the total velocity potential which can be decomposed as two velocity potentials; one due to scattering in the presence of an incident wave on fixed structure (diffraction problem), and the other due to radiation by the heave motion on calm water (radiation problem). For each part, the velocity potential is derived by considering two regions, namely, interior region and exterior region. The complex matrix equations are solved numerically to determine the unknown coefficients to compute the wave loads. Some numerical results are presented for different depth to radius and draft to radius ratios.http://dx.doi.org/10.1155/S0161171295000202scatteringradiationheave motionvelocity potential. |
| spellingShingle | D. D. Bhatta M. Rahman Wave loadings on a vertical cylinder due to heave motion International Journal of Mathematics and Mathematical Sciences scattering radiation heave motion velocity potential. |
| title | Wave loadings on a vertical cylinder due to heave motion |
| title_full | Wave loadings on a vertical cylinder due to heave motion |
| title_fullStr | Wave loadings on a vertical cylinder due to heave motion |
| title_full_unstemmed | Wave loadings on a vertical cylinder due to heave motion |
| title_short | Wave loadings on a vertical cylinder due to heave motion |
| title_sort | wave loadings on a vertical cylinder due to heave motion |
| topic | scattering radiation heave motion velocity potential. |
| url | http://dx.doi.org/10.1155/S0161171295000202 |
| work_keys_str_mv | AT ddbhatta waveloadingsonaverticalcylinderduetoheavemotion AT mrahman waveloadingsonaverticalcylinderduetoheavemotion |