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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2005.00857 |
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| _version_ | 1866929303135977472 |
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| author | Gierczak, Lucas Fadle, Assil Arutkin, Maxence Raphaël, Elie Benzaquen, Michael |
| author_facet | Gierczak, Lucas Fadle, Assil Arutkin, Maxence Raphaël, Elie Benzaquen, Michael |
| contents | We derive analytical formulas for the wake and wave drag of a disturbance moving arbitrarily at the air-water interface. We show that, provided a constant velocity is reached in finite time, the unsteady surface displacement converges to its well-known steady counterpart as given by Havelock's famous formula. Finally we assess, in a specific situation, to which extent one can rightfully use Havelock's steady wave drag formula for non-uniform motion (quasi-static). Such an approach can be used to legitimize or discredit a number of studies which used steady wave drag formulas in unsteady situations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_00857 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory Gierczak, Lucas Fadle, Assil Arutkin, Maxence Raphaël, Elie Benzaquen, Michael Fluid Dynamics We derive analytical formulas for the wake and wave drag of a disturbance moving arbitrarily at the air-water interface. We show that, provided a constant velocity is reached in finite time, the unsteady surface displacement converges to its well-known steady counterpart as given by Havelock's famous formula. Finally we assess, in a specific situation, to which extent one can rightfully use Havelock's steady wave drag formula for non-uniform motion (quasi-static). Such an approach can be used to legitimize or discredit a number of studies which used steady wave drag formulas in unsteady situations. |
| title | Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2005.00857 |