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Drag and lift forces experienced by a rigid spherical particle translating close to a flat wall in a linear shear flow are determined through fully resolved simulations. Particles are assumed to obey either a non-rotating or a torque-free condition and may either lead the fluid or lag behind it. The simulations cover a wide range of flow regimes, from low-but-finite Reynolds numbers to conditions close to the onset of wake unsteadiness. Results are used to build accurate semiempirical expressions for the two force components valid at arbitrary Reynolds number, relative shear rate, and separation distance from the wall.
Shi et al. (Thu,) studied this question.