## 留言板

 引用本文: 朱敏, 吴望一. 解任意形状扁轴对称体Stokes流动的连续奇点分布法[J]. 应用数学和力学, 1985, 6(10): 859-871.
Zhu Min, Wu Wang-yi. The Method of Continuous Distribution of Singularities to Treat the Stokes Flow of the Arbitrary Oblate Axisymmetrical Body[J]. Applied Mathematics and Mechanics, 1985, 6(10): 859-871.
 Citation: Zhu Min, Wu Wang-yi. The Method of Continuous Distribution of Singularities to Treat the Stokes Flow of the Arbitrary Oblate Axisymmetrical Body[J]. Applied Mathematics and Mechanics, 1985, 6(10): 859-871.

## The Method of Continuous Distribution of Singularities to Treat the Stokes Flow of the Arbitrary Oblate Axisymmetrical Body

• 摘要: 本文以Sampson球形无穷级数作为基本奇点,采用分段等强度和分段二次抛物分布两种体内连续分布法解任意形状扁轴对称体的Stokes流动.通过扁球的无界绕流问题,对这两种方法的收敛性,精度和适用范围做了检验和比较.结果表明,在一定的范围内,无论是阻力系数或压力分布,它们的计算结果都和精确解符合得很好,而且,随着分布函数逼近程度的提高,其收敛性得到改善,适用范围也随之扩大.作为一般算例,分别用这两种方法解决了卡西尼扁卵形体的绕流问题,得到了一致的结果.最后,用分段二次连续分布法计算了具有一定生理意义的红细胞体的Stokes流动,首次得到了它的阻力系数和表面压力分布.
•  [1] Chwang,A.T.and T.Y.T.Wu,Hydromechanics of low Reynolds number flow,Part 2,Singularity method for Stokes flows,J.Fluid Mech.,67(1975),787-815. [2] Gluckman,M.J,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 A.Acrivos,Stokes flow past a particle of arbitrary shape:A numerical method of solution,J.Fluid Mech.,69(1975),377-403. [4] Weinbaum,S.,Lectures on Mathematics in the Life Sciences(1981),114. [5] Smith,A.M.O.and J.L.Hess,Prog.Aero.Sci.(1966),8. [6] 吴望一,解任意形伏非细长长轴对称体Stokes流动的一种新方法,中国科学,A辑,2(1984). [7] 吴望一、王少华,Stokes流动中连续奇点线分布法的分段抛物近似.力学学报,5(1984). [8] 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,5,6(1984),793-800. [9] 吴望一、朱敏,解任意形状扁轴对称体的环形奇点分布法.(待发表) [10] Sampson,R.A.,On Stokes current-function.Phil.Tran.R.Soc.A,182(1891),449. [11] Happel,J.and H.Brenner,Low Reynolds Number Hydrodynamics,Prentice-Hall(1965). [12] Fung,Y.C.,Biomechanics,Springer-Verlag,New York Inc.(1981).

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##### 出版历程
• 收稿日期:  1984-11-26
• 刊出日期:  1985-10-15

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