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We study the morphology of the Saturn ring defect and director structure
around a colloidal particle with normal anchoring conditions and within the
flow of the nematic host phase through a rectangular duct of comparable size to
the particle. The changes in the defect structures and director profile
influence the advection behaviour of the particle, which we compare to that in
a simple Newtonian host phase. These effects lead to a non-monotonous
dependence of the differential velocity of particle and fluid, also known as
retardation ratio, on the Ericksen number.

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