Interaction of uniform current with a circular cylinder submerged below an ice sheet |
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| Institution: | 1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China;2. Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK;3. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;2. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China |
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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. |
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| Keywords: | Ice sheet deflection Uniform current Circular cylinder Critical Froude number Resistance and lift |
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