The Creeping Motion of Multiple Spherical Liquid Drops

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Wu Wang-yi, Zhang Bai-wen. The Creeping Motion of Multiple Spherical Liquid Drops[J]. Applied Mathematics and Mechanics, 1985, 6(2): 135-143.

Citation:

Wu Wang-yi, Zhang Bai-wen. The Creeping Motion of Multiple Spherical Liquid Drops[J]. Applied Mathematics and Mechanics, 1985, 6(2): 135-143.

Citation:

Wu Wang-yi, Zhang Bai-wen. The Creeping Motion of Multiple Spherical Liquid Drops[J]. Applied Mathematics and Mechanics, 1985, 6(2): 135-143.

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).