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首页> 外文期刊>Journal of ocean engineering and marine energy >Hydrodynamics of non-axisymmetric oblate spheroids below a free surface
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Hydrodynamics of non-axisymmetric oblate spheroids below a free surface

机译：非完全轴对称零件-扁球状体外花键的流体动力学在自由表面

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Abstract We develop an analytical methodology for solving the hydrodynamic diffraction and the radiation problems by immersed oblate spheroids in a liquid field of infinite extend bounded from above by a free-surface. In turn, free-surface effects are included in the formulation of the hydrodynamic problem allowing the investigation of the hydrodynamic characteristics of the multi-purpose oblate spheroidal geometry that runs from a sphere to a circular disk depending on its slenderness parameter. The case considered here is that of a “non-axisymmetric” placement of a fully wetted spheroid, namely when its semi-minor axis is parallel to the free-surface, extending the existing efforts which have considered only the “symmetric” case (i.e. semi-minor axis perpendicular to the free-surface). The analytic solution is sought by constructing and using the multipole potentials of the problem that express the fundamental Green’s function in terms of oblate spheroidal harmonics. The adopted methodology is based on a Fredholm integral equation (of the second kind) approach that provides the source distribution over the surface of the spheroid. The source distribution is accordingly obtained by considering the potentials in the interior and the exterior of the spheroid and expressing them in spheroidal harmonics. The derivation of the multipole potentials, enable us to obtain analytic expressions for the diffraction and the radiation velocity potentials in terms of the involved harmonics. Several numerical tests have been performed to calculate the exciting forces and moments as well as the hydrodynamic parameters of the spheroid. Special attention has been paid to the limiting case of a circular disk subjected to head seas, for which the hydrodynamic effects are most pronounced. The other limiting case, i.e. that of a sphere, is well documented and was used for validation purposes.
机译：抽象我们开发一种分析方法解决水动力衍射和用浸入扁球状体辐射问题在液体中无限扩展的领域自由面以上。包括配方的影响水动力问题允许调查的水动力特征多用扁球状几何从球面到一个圆形磁盘不同在其长细参数。这是一个“non-axisymmetric”的位置一个完全润湿球体,即当它长轴平行于自由表面,扩展现有的努力的(即只考虑“对称”的情况。长轴垂直自由表面)。构建和使用多极势表达的基本的问题格林函数的扁球状谐波。弗雷德霍姆积分方程(第二类)方法提供了源分布在球体的表面。分布是因此获得的考虑到在内部和潜力球体的表面和表达它们在球状谐波。多极潜力,使我们能够获得衍射和解析表达式的辐射速度势涉及谐波。执行计算激动人心的力量以及水动力和时刻球体的参数。在圆盘的极限情况受到海洋主管的水动力的影响最为明显。其他的极限情况,即一个球体,良好的文档记录,用于验证目的。

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