Effects of diffraction and radiation on a submerged sphere
This paper deals with an investigation of the effects of diffraction and radiation on a submerged sphere in water of finite depth d. We assume that the fluid is homogeneous, inviscid, and incompressible, and the fluid motion is irrotational. In real situations, the submerged sphere will experience s...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201007955 |
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| _version_ | 1832545355583979520 |
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| author | Matiur Rahman |
| author_facet | Matiur Rahman |
| author_sort | Matiur Rahman |
| collection | DOAJ |
| description | This paper deals with an investigation of the effects of
diffraction and radiation on a submerged sphere in water of finite
depth d. We assume that the fluid is homogeneous, inviscid, and
incompressible, and the fluid motion is irrotational. In real
situations, the submerged sphere will experience six degrees of
freedom (i.e., motions); three translational and three rotational.
In this paper, however, we consider a very idealized
situation because of the complex nature of the physical problem.
Two important motions, namely, the surge (horizontal oscillations)
and the heave (vertical oscillations) motions are studied. Our
attention is mainly focused on the hydrodynamic coefficients of
these motions. The crux of the problem lies entirely on the
determination of these coefficients which are inherently related
to the determination of the motions of the submerged sphere in
regular waves. This type of problem is usually solved by using
potential theory, and mathematically, we look for the solution of
a velocity potential which satisfies Laplace's equation along with
the free surface, body surface, and bottom boundary conditions in
conjunction with a radiation condition. This boundary value
problem, in fact, consists of two separate problems: (a)
diffraction problem and (b) radiation problem. |
| format | Article |
| id | doaj-art-20bb89f1e5a044f09d293c86bf9521c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-20bb89f1e5a044f09d293c86bf9521c72025-02-03T07:25:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128949951510.1155/S0161171201007955Effects of diffraction and radiation on a submerged sphereMatiur Rahman0Department of Engineering Mathematics, Dalhousie University, P.O. Box 1000, Nova Scotia, Halifax B3J 2X4, CanadaThis paper deals with an investigation of the effects of diffraction and radiation on a submerged sphere in water of finite depth d. We assume that the fluid is homogeneous, inviscid, and incompressible, and the fluid motion is irrotational. In real situations, the submerged sphere will experience six degrees of freedom (i.e., motions); three translational and three rotational. In this paper, however, we consider a very idealized situation because of the complex nature of the physical problem. Two important motions, namely, the surge (horizontal oscillations) and the heave (vertical oscillations) motions are studied. Our attention is mainly focused on the hydrodynamic coefficients of these motions. The crux of the problem lies entirely on the determination of these coefficients which are inherently related to the determination of the motions of the submerged sphere in regular waves. This type of problem is usually solved by using potential theory, and mathematically, we look for the solution of a velocity potential which satisfies Laplace's equation along with the free surface, body surface, and bottom boundary conditions in conjunction with a radiation condition. This boundary value problem, in fact, consists of two separate problems: (a) diffraction problem and (b) radiation problem.http://dx.doi.org/10.1155/S0161171201007955 |
| spellingShingle | Matiur Rahman Effects of diffraction and radiation on a submerged sphere International Journal of Mathematics and Mathematical Sciences |
| title | Effects of diffraction and radiation on a submerged sphere |
| title_full | Effects of diffraction and radiation on a submerged sphere |
| title_fullStr | Effects of diffraction and radiation on a submerged sphere |
| title_full_unstemmed | Effects of diffraction and radiation on a submerged sphere |
| title_short | Effects of diffraction and radiation on a submerged sphere |
| title_sort | effects of diffraction and radiation on a submerged sphere |
| url | http://dx.doi.org/10.1155/S0161171201007955 |
| work_keys_str_mv | AT matiurrahman effectsofdiffractionandradiationonasubmergedsphere |