Abstract
The flow generated by a rotating circular cylinder inside a corrugated outer cylinder is considered. The corrugations are small and are used to model roughness. The force on the inner cylinder, as a linear function of displacement, is found. This requires a Stokes expansion to determine a first-order correction in the Reynolds number R R . The result implies as expected that transverse roughness acts to increase the load capacity of the bearing at low R R , which is confirmed by previous numerical experiments. In addition, roughness can induce reversed flow at much smaller displacements than for smooth bearings.
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