Lifting off a solid sphere from a flat bottom by laminar fluid flow

We perform quantitative visualization experiments o n the vertical ( z-direction) motion of a spherical solid particle being lifted off a horizon tal flat bottom due to laminar fluid flow generated by a revolving impeller. Describing the o bserved motion of the particle in terms of a constant vertical hydrodynamic force overcoming g ravity and the lubrication force has limited success. For this reason we hypothesize tha t the hydrodynamic force on the particle quickly increases with its distance from the bottom . This hypothesis is supported by detailed numerical simulations of the flow around the partic le. Integrating the equation of motion of the sphere with the vertical hydrodynamic force as a linear function of z derived from simulations provides an adequate description of the experimentally observed vertical motion of the particle.

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