The Analytical Representations for 2-D Flows around a Semi-Submerged Vertical Plate in a Uniform Stream

Katsuo Suzuki; Shigeyuki Hibi

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arXiv · 1803.08875

The Analytical Representations for 2-D Flows around a Semi-Submerged Vertical Plate in a Uniform Stream

Katsuo Suzuki·Shigeyuki Hibi

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Abstract

The complex potentials representing flows around a vertical plate semi-submerged in a uniform stream are derived in analytical forms by the reduction method. They are composed from the regular solution and a weak singular eigen solution. The linear combinations of them represent some flows such as regular flow, zero-vertical flux flow, flow satisfying Kutta condition and wave-free flow. The wave resistances of the flows are also obtained in analytical forms. The analytical solution obtained by Bessho-Mizuno(1962) has a possibility that it does not satisfy the boundary condition on the plate.

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Katsuo Suzuki, Shigeyuki Hibi. 2018-03-23. The Analytical Representations for 2-D Flows around a Semi-Submerged Vertical Plate in a Uniform Stream. https://arxiv.org/abs/1803.08875

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