Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor
We obtain asymptotic formulas for the reflection/transmission coefficients of linear long water waves, propagating in a harbor composed of a tapered and slender region connected to uniform inlet and outlet regions. The region with variable character obeys a power-law. The governing equations are pre...
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| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/184147 |
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| author | Eric-Gustavo Bautista Federico Méndez Oscar Bautista |
| author_facet | Eric-Gustavo Bautista Federico Méndez Oscar Bautista |
| author_sort | Eric-Gustavo Bautista |
| collection | DOAJ |
| description | We obtain asymptotic formulas for the reflection/transmission coefficients of linear long water waves, propagating in a harbor composed of a tapered and slender region connected to uniform inlet and outlet regions. The region with variable character obeys a power-law. The governing equations are presented in dimensionless form. The reflection/transmission coefficients are obtained for the limit of the parameter κ2≪1, which corresponds to a wavelength shorter than the characteristic horizontal length of the harbor. The asymptotic formulas consider those cases when the geometry of the harbor can be variable in width and depth: linear or parabolic among other transitions or a combination of these geometries. For harbors with nonlinear transitions, the parabolic geometry is less reflective than the other cases. The reflection coefficient for linear transitions just presents an oscillatory behavior. We can infer that the deducted formulas provide as first approximation a practical reference to the analysis of wave reflection/transmission in harbors. |
| format | Article |
| id | doaj-art-c6af000700f0436182231a0679272d8b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c6af000700f0436182231a0679272d8b2025-02-03T01:12:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/184147184147Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender HarborEric-Gustavo Bautista0Federico Méndez1Oscar Bautista2Instituto Politécnico Nacional, SEPI ESIME Azcapotzalco, Avenida de las Granjas No. 682, Colonia Santa Catarina, Delegación Azcapotzalco, 02250 México, DF, MexicoDepartamento de Termofluidos, Facultad de Ingeniería, UNAM, 04510 México, DF, MexicoInstituto Politécnico Nacional, SEPI ESIME Azcapotzalco, Avenida de las Granjas No. 682, Colonia Santa Catarina, Delegación Azcapotzalco, 02250 México, DF, MexicoWe obtain asymptotic formulas for the reflection/transmission coefficients of linear long water waves, propagating in a harbor composed of a tapered and slender region connected to uniform inlet and outlet regions. The region with variable character obeys a power-law. The governing equations are presented in dimensionless form. The reflection/transmission coefficients are obtained for the limit of the parameter κ2≪1, which corresponds to a wavelength shorter than the characteristic horizontal length of the harbor. The asymptotic formulas consider those cases when the geometry of the harbor can be variable in width and depth: linear or parabolic among other transitions or a combination of these geometries. For harbors with nonlinear transitions, the parabolic geometry is less reflective than the other cases. The reflection coefficient for linear transitions just presents an oscillatory behavior. We can infer that the deducted formulas provide as first approximation a practical reference to the analysis of wave reflection/transmission in harbors.http://dx.doi.org/10.1155/2015/184147 |
| spellingShingle | Eric-Gustavo Bautista Federico Méndez Oscar Bautista Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor Journal of Applied Mathematics |
| title | Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor |
| title_full | Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor |
| title_fullStr | Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor |
| title_full_unstemmed | Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor |
| title_short | Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor |
| title_sort | asymptotic formulas for the reflection transmission of long water waves propagating in a tapered and slender harbor |
| url | http://dx.doi.org/10.1155/2015/184147 |
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