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Plane Poiseuille flow past a nanoscale cylinder that is arbitrarily confined(i.e., symmetrically or asymmetrically confined) in a slit channel is studiedvia hydrodynamic lubrication theory and molecular dynamics simulations,considering cases where the cylinder remains static or undergoes thermalmotion. Lubrication theory predictions for the drag force and volumetric flowrate are in close agreement with molecular dynamics simulations of flows havingmolecularly thin lubrication gaps, despite the presence of significantstructural forces induced by the crystalline structure of the modeled solid.While the maximum drag force is observed in symmetric confinement, i.e., whenthe cylinder is equidistant from both channel walls, the drag decayssignificantly as the cylinder moves away from the channel centerline andapproaches a wall. Hence, significant reductions in the mean drag force on thecylinder and hydraulic resistance of the channel can be observed when thermalmotion induces random off-center displacements. Analytical expressions andnumerical results in this work provide useful insights into the hydrodynamicsof colloidal solids and macromolecules in confinement.

Poiseuille flow past a nanoscale cylinder in a slit channel: Lubrication theory versus molecular dynamics analysis