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

计量
- 文章访问数: 1739
- HTML全文浏览量: 119
- PDF下载量: 472
- 被引次数: 0
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.

HTML全文

参考文献(12)

[1]	Chwang,A.T.and T.Y.T.Wu,Hydromechanics of low-Reynolds-number flow,Part 1:Rotation of axisymmetric prolate bodies,J.Fluid Mech.,63(1974),607-622.
[2]	Gluckman,M,S.Weinbaum and R.Pfeffer,Axisymmetric slow viscous flow past an arbitrary convex body of revolution,J.Fluid Mech.,55(1972),677-709.
[3]	Youngren,G.K.and Acrivos,Stokes flow past a particle of arbitrary Shape:a numerical method of Solution,J.Fluid Mech.,69(1975),377-403.
[4]	吴望一,解任意形状非细长长轴对称体Stokes流动的一种新方法,中国科学,A辑,2(1984)145-156.
[5]	吴望一、何青,蠕动流中连续奇点线分布法的分段线性近似,应用数学和力学,4,6(1984),793-800.
[6]	吴望一、王少华,Stokes流动中连继奇点线分布法的分段抛物近似,力学学报5(1984),443-453.
[7]	吴望一、朱敏,解任意形状扁轴对称体Stokes流动的离散奇点环形分布法,力学学报,6(1985).
[8]	朱敏、吴望一,解任意形状扁轴对称体Stokes流动的奇点线分布法,应用数学和力学6,10(1985).
[9]	林胜天、吴望一,三维Stokes流动的半解析半数值解,空气动力学学报,2(1989).
[10]	Brenner,H.,Effect of finite boundaries on the Stokes resistance of an arbitrary particle,J.Fluid Mech,12(1962),35-48.
[11]	Erdelyi,A,W.Magnus,F.Oberhettigen and F.G.Tricomi,Tables of Integral Transforms,McGraw-Hill,New York(1954).
[12]	Hsu,Richard(许盛群) and Peter Ganatos,Hydrodynamic Interaction of an Arbitrary Particle with a Planar Wall at Low Reynods Number,Part 1:Formulation and application to spheroidal particles.(to be published).