Hong Y. Yeh, Huan J. Keh1, *
CMES-Computer Modeling in Engineering & Sciences, Vol.113, No.3, pp. 343-366, 2017, DOI:10.3970/cmes.2017.113.361
Abstract The problem of the steady migration of an axially symmetric prolate particle along its axis of revolution coinciding with the centerline of a circular capillary is investigated semi-analytically in the limit of low Reynolds number, where the viscous fluid may slip at the solid surfaces. A method of distribution of spherical singularities along the axis inside the particle is employed to establish the general solution of the fluid velocity satisfying the boundary conditions at the capillary wall and infinity. The slip condition at the particle surface is then satisfied by using a boundary collocation method to determine the unknown constants… More >