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We show that particle roughness can significantly modify viscous dissipation in the limit of small particle-wall separation, with the corrugation amplitude comparable with the separation. In particular, a lubrication analysis provides the rectilinear and angular velocities of the two-dimensional particle as functions of the instantaneous angular configuration. The time-averaged rectilinear velocity is a geometric quantity, obtained without the need to address any time dynamics, with the result that the particle may either translate while rotating or become ``locked'' in a specific phase and translate without rotation.
Yariv et al. (Mon,) studied this question.
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