Li, ZF;
Wu, GX;
Shi, YY;
(2019)
Interaction of uniform current with a circular cylinder submerged below an ice sheet.
Applied Ocean Research
, 86
pp. 310-319.
10.1016/j.apor.2018.12.007.
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Abstract
The problem of a uniform current passing through a circular cylinder submerged below an ice sheet is considered. The fluid flow is described by the linearized velocity potential theory, while the ice sheet is modelled through a thin elastic plate floating on the water surface. The Green function due to a source is first derived, which satisfies all the boundary conditions apart from that on the body surface. Through differentiating the Green function with respect to the source position, the multipoles are obtained. This allows the disturbed velocity potential to be constructed in the form of an infinite series with unknown coefficients which are obtained from the boundary condition. The result shows that there is a critical Froude number which depends on the physical properties of the ice sheet. Below this number there will be no flexural waves propagating to infinity and above this number there will be two waves, one on each side of the body. When the depth based Froude number is larger than 1, there will always be a wave at far upstream of the body. This is similar to those noticed in the related problem and is different from that in the free surface problem without ice sheet. Various results are provided, including the properties of the dispersion equation, resistance and lift, ice sheet deflection, and their physical features are discussed.
| Type: | Article |
|---|---|
| Title: | Interaction of uniform current with a circular cylinder submerged below an ice sheet |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.apor.2018.12.007 |
| Publisher version: | https://doi.org/10.1016/j.apor.2018.12.007 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Ice sheet deflection, Uniform current, Circular cylinder, Critical Froude number, Resistance and lift |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10074006 |
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