Reflection of internal waves by sand ripples
An investigation is made to study the diffraction of a train of time harmonic progressive waves propagating along the surface of separation of two superposed fluids which are laterally unbounded, the upper fluid being extended infinitely upwards, the lower fluid being of finite depth with sand rippl...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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/S0161171295000214 |
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| _version_ | 1832552369377771520 |
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| author | Samiran Mandal Uma Basu |
| author_facet | Samiran Mandal Uma Basu |
| author_sort | Samiran Mandal |
| collection | DOAJ |
| description | An investigation is made to study the diffraction of a train of time harmonic
progressive waves propagating along the surface of separation of two superposed fluids which are
laterally unbounded, the upper fluid being extended infinitely upwards, the lower fluid being of
finite depth with sand ripples at the bottom. The first order correction to the velocity potential
for the problem of diffraction of interface waves in the presence of bottom deformation is
obtained by integral transform technique after introduction of a linear frictional term in the
kinematic boundary condition at the surface of separation following Lamb (1932), and the
reflection and transmission coefficients are estimated for a patch of sand ripples. |
| format | Article |
| id | doaj-art-8cac73ec2664499b9a9d7f64fe4ce266 |
| 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-8cac73ec2664499b9a9d7f64fe4ce2662025-02-03T05:58:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118117117710.1155/S0161171295000214Reflection of internal waves by sand ripplesSamiran Mandal0Uma Basu1Khanpara High School, Khari, 24-Parganas (South), IndiaDepartment of Applied Mathematics, University of Calcutta, 92 A.P.C. Road, Calcutta 700009, IndiaAn investigation is made to study the diffraction of a train of time harmonic progressive waves propagating along the surface of separation of two superposed fluids which are laterally unbounded, the upper fluid being extended infinitely upwards, the lower fluid being of finite depth with sand ripples at the bottom. The first order correction to the velocity potential for the problem of diffraction of interface waves in the presence of bottom deformation is obtained by integral transform technique after introduction of a linear frictional term in the kinematic boundary condition at the surface of separation following Lamb (1932), and the reflection and transmission coefficients are estimated for a patch of sand ripples.http://dx.doi.org/10.1155/S0161171295000214internal wavesreflection and transmission of wavesdeformed bottomsand ripples. |
| spellingShingle | Samiran Mandal Uma Basu Reflection of internal waves by sand ripples International Journal of Mathematics and Mathematical Sciences internal waves reflection and transmission of waves deformed bottom sand ripples. |
| title | Reflection of internal waves by sand ripples |
| title_full | Reflection of internal waves by sand ripples |
| title_fullStr | Reflection of internal waves by sand ripples |
| title_full_unstemmed | Reflection of internal waves by sand ripples |
| title_short | Reflection of internal waves by sand ripples |
| title_sort | reflection of internal waves by sand ripples |
| topic | internal waves reflection and transmission of waves deformed bottom sand ripples. |
| url | http://dx.doi.org/10.1155/S0161171295000214 |
| work_keys_str_mv | AT samiranmandal reflectionofinternalwavesbysandripples AT umabasu reflectionofinternalwavesbysandripples |