任意形状长轴对称体沿长轴方向垂直地向一无界平板运动时所产生的Stokes流

袁凡; 吴望一

任意形状长轴对称体沿长轴方向垂直地向一无界平板运动时所产生的Stokes流

袁凡,
吴望一

北京大学力学系

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出版历程
- 收稿日期: 1985-09-14
- 刊出日期: 1987-01-15

The Stokes Flow of an Aribitrary Prolate Axisymmetric Body towards an Infinite Plane Wall

Department of Mechanics, Peking University, Beijing

摘要

摘要: 在任意形状长轴对称体内连续地分布Sampson平扳反演流子,采用分段等强度,分段线性和分段抛物三种近似,成功地得到了流场的封闭形式的分折表达式。计算了物体和平板有不同间距,长短轴比取一系列不同值时,长球和卡西尼长卵形体的阻力系数。计算结果表明,方法具有良好的收敛性。在长球情况下和已有的数据进行了对比。符合程度是十分令人满意的。

Abstract: By distributing continuously the image Sampsonlets with respect to the plane and.by applying the constant density,the linear and the parabolic approximation,the analytic expressions in closed form for flow field are obtained.The drag factor of the prolate spheroid and the Cassini oval are calculated for different slender ratios and different distances between the body and the plane.It is demonstrated that the proposed method is satisfactory both in convergence and accuracy.Comparison with existing results in the case of prolate spheroid shows that the coincidence is quite good.

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参考文献(12)

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