Singularities in a two-fluid medium
We compute the irrotational motion of two fluids with a horizontal plane surface of separation, under gravity. The fluids are nonviscous and incompressible, the upper one of finite depth with a free surface; they contain a line singularity or a point singularity. We obtain the velocity potentials fo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000630 |
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| _version_ | 1849407617519058944 |
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| author | Rathindra Nath Chakrabarti Birendranath Mandal |
| author_facet | Rathindra Nath Chakrabarti Birendranath Mandal |
| author_sort | Rathindra Nath Chakrabarti |
| collection | DOAJ |
| description | We compute the irrotational motion of two fluids with a horizontal plane surface of separation, under gravity. The fluids are nonviscous and incompressible, the upper one of finite depth with a free surface; they contain a line singularity or a point singularity. We obtain the velocity potentials for each singularity located in the upper or the lower fluid; if the upper depth tends to infinity, known results are recovered. |
| format | Article |
| id | doaj-art-48712850cec349f3bf157138fd2bd5f8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-48712850cec349f3bf157138fd2bd5f82025-08-20T03:36:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016473775410.1155/S0161171283000630Singularities in a two-fluid mediumRathindra Nath Chakrabarti0Birendranath Mandal1Narikeldanga High School, 50, Kavi Sukanta Sarani, Calcutta 700085, IndiaDepartment of Applied Mathematics, Calcutta University, 92, Acharya Prafulla Chandra Road, Calcutta 700009, IndiaWe compute the irrotational motion of two fluids with a horizontal plane surface of separation, under gravity. The fluids are nonviscous and incompressible, the upper one of finite depth with a free surface; they contain a line singularity or a point singularity. We obtain the velocity potentials for each singularity located in the upper or the lower fluid; if the upper depth tends to infinity, known results are recovered.http://dx.doi.org/10.1155/S0161171283000630fluid dynamicsLaplace's equationtwo-fluid problempoint singularityline singularityoscillating singularityfree surface. |
| spellingShingle | Rathindra Nath Chakrabarti Birendranath Mandal Singularities in a two-fluid medium International Journal of Mathematics and Mathematical Sciences fluid dynamics Laplace's equation two-fluid problem point singularity line singularity oscillating singularity free surface. |
| title | Singularities in a two-fluid medium |
| title_full | Singularities in a two-fluid medium |
| title_fullStr | Singularities in a two-fluid medium |
| title_full_unstemmed | Singularities in a two-fluid medium |
| title_short | Singularities in a two-fluid medium |
| title_sort | singularities in a two fluid medium |
| topic | fluid dynamics Laplace's equation two-fluid problem point singularity line singularity oscillating singularity free surface. |
| url | http://dx.doi.org/10.1155/S0161171283000630 |
| work_keys_str_mv | AT rathindranathchakrabarti singularitiesinatwofluidmedium AT birendranathmandal singularitiesinatwofluidmedium |