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Lubricating motion of a sphere in a conical vessel

Abstract : The final stage of sedimentation of a spherical particle moving along the axis of a conical vessel containing a viscous incompressible fluid is studied both theoretically by lubrication analysis and experimentally by laser interferometry. The particle settling velocity varies like d5/2, where d is the gap. There is an excellent agreement between this result from lubrication theory and experiment, the upper bound being for a gap of about 1/30 radius and the lower practical bound being at the size of the particle roughness.
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K. Masmoudi, N. Lecoq, R. Anthore, S. May, François Feuillebois. Lubricating motion of a sphere in a conical vessel. Physics of Fluids, American Institute of Physics, 1998, 10 (5), pp.1231-1233. ⟨10.1063/1.869790⟩. ⟨hal-01777581⟩



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