Transmission of obliquely incident surface waves through a narrow gap

This note is concerned with the transmission of a train of surface water waves obliquely incident on a thin plane vertical barrier with a narrow gap. Within the framework of the linearized theory of water waves, the problem is reduced to the solution of an integral equation which is solved approxima...

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Main Authors: B. N. Mandal, P. K. Kundu
Format: Article
Language:English
Published: Wiley 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117128900092X
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author B. N. Mandal
P. K. Kundu
author_facet B. N. Mandal
P. K. Kundu
author_sort B. N. Mandal
collection DOAJ
description This note is concerned with the transmission of a train of surface water waves obliquely incident on a thin plane vertical barrier with a narrow gap. Within the framework of the linearized theory of water waves, the problem is reduced to the solution of an integral equation which is solved approximately. The transmission and reflection co–efficients are also obtained approximately and represented graphically against the different angles of incidence for fixed wave numbers.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1989-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-fd7ba60837d041178fa354ad6eb2fc432025-02-03T05:58:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112474174810.1155/S016117128900092XTransmission of obliquely incident surface waves through a narrow gapB. N. Mandal0P. K. Kundu1Department of Applied Mathematics, University of Calcutta, 92 A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, University of Calcutta, 92 A.P.C. Road, Calcutta 700009, IndiaThis note is concerned with the transmission of a train of surface water waves obliquely incident on a thin plane vertical barrier with a narrow gap. Within the framework of the linearized theory of water waves, the problem is reduced to the solution of an integral equation which is solved approximately. The transmission and reflection co–efficients are also obtained approximately and represented graphically against the different angles of incidence for fixed wave numbers.http://dx.doi.org/10.1155/S016117128900092X
spellingShingle B. N. Mandal
P. K. Kundu
Transmission of obliquely incident surface waves through a narrow gap
International Journal of Mathematics and Mathematical Sciences
title Transmission of obliquely incident surface waves through a narrow gap
title_full Transmission of obliquely incident surface waves through a narrow gap
title_fullStr Transmission of obliquely incident surface waves through a narrow gap
title_full_unstemmed Transmission of obliquely incident surface waves through a narrow gap
title_short Transmission of obliquely incident surface waves through a narrow gap
title_sort transmission of obliquely incident surface waves through a narrow gap
url http://dx.doi.org/10.1155/S016117128900092X
work_keys_str_mv AT bnmandal transmissionofobliquelyincidentsurfacewavesthroughanarrowgap
AT pkkundu transmissionofobliquelyincidentsurfacewavesthroughanarrowgap