Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation
Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harm...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000200 |
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| author | B. N. Mandal R. N. Chakrabarti |
| author_facet | B. N. Mandal R. N. Chakrabarti |
| author_sort | B. N. Mandal |
| collection | DOAJ |
| description | Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length. The technique of deriving the potentials here is an extension of the technique used for the case of only time harmonic vertical line source. The present case is concerned with the two-dimensional modified Helmholtz's equation while the previous is concerned with the two-dimensional Laplace's equation. |
| format | Article |
| id | doaj-art-d1af67c12f8d44608a6cdc7ac46fc1bf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d1af67c12f8d44608a6cdc7ac46fc1bf2025-02-03T01:07:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019117518410.1155/S0161171286000200Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equationB. N. Mandal0R. N. Chakrabarti1Department of Applied Mathematics, University College of Science, 92, A. P. C. Road, Calcutta 700 009, IndiaDepartment of Applied Mathematics, University College of Science, 92, A. P. C. Road, Calcutta 700 009, IndiaVelocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length. The technique of deriving the potentials here is an extension of the technique used for the case of only time harmonic vertical line source. The present case is concerned with the two-dimensional modified Helmholtz's equation while the previous is concerned with the two-dimensional Laplace's equation.http://dx.doi.org/10.1155/S0161171286000200modified Helmholtz's equationtwo-fluid mediumsource potentialssurface of separation. |
| spellingShingle | B. N. Mandal R. N. Chakrabarti Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation International Journal of Mathematics and Mathematical Sciences modified Helmholtz's equation two-fluid medium source potentials surface of separation. |
| title | Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation |
| title_full | Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation |
| title_fullStr | Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation |
| title_full_unstemmed | Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation |
| title_short | Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation |
| title_sort | two dimensional source potentials in a two fluid medium for the modified helmholtz s equation |
| topic | modified Helmholtz's equation two-fluid medium source potentials surface of separation. |
| url | http://dx.doi.org/10.1155/S0161171286000200 |
| work_keys_str_mv | AT bnmandal twodimensionalsourcepotentialsinatwofluidmediumforthemodifiedhelmholtzsequation AT rnchakrabarti twodimensionalsourcepotentialsinatwofluidmediumforthemodifiedhelmholtzsequation |