多个球形液滴的蠕动流

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The Creeping Motion of Multiple Spherical Liquid Drops

摘要: 本文利用Sampson奇点及配置法求解多个球形液滴在蠕动流中的阻力系数.计算了由不同数目液滴组成的液滴串在不同液滴间距下的阻力系数并揭示了粘度比对遮蔽效应和端缘效应的影响.文章还对方法的收敛性进行了研究.

Abstract: This paper deals with the drag factor of the multiple spherical liquid drops in the creeping motion by means of the Sampson singularities and collocation technique. The drag factors of the drops are calculated under distinct conditions: different number of liquid drops in the chain and different sphere spacing. From the results the influence of the viscosity ratio on the shielding effect and end effect are revealed. The convergence of the method is also studied in this paper.

[1]	Gluckman,M.J.,R.Pfeffer and S.Weinbaum,A new technique for treating multiparticle slow viscous flow: axcsymmetcis flow past spheres and spheroids,J.Fluid Mech.,50(1971).705-740.
[2]	Happel,J and H.Brenner,Low Reynolds Number Hydrodynamics,Prentice-Hall.New York(1965).