Lateral Migration of a Spherical Particle in Flows in a Circular Tube

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  • Lateral Migration of a Spherical Partic

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Lateral migration of a solid spherical particle suspended in a fluid flowing in a circular tube is investigated theoretically on the basis of a method developed by Cox and Brenner (Chem. Eng. Sci. 23 (1968) 147) and Green’s function of the Stokes equation for a circular tube obtained by Hasimoto (J. Phys. Soc. Jpn. 41 (1976) 385). Buoyant and neutrally buoyant particles in Poiseuille flow are considered as well as a sedimenting particle in a quiescent fluid. The results obtained agree well with the known experiments. When the velocity of the particle is about twice as fast as the mean velocity of the fluid, there are two stable equilibrium positions.

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