Steady nanocapillary flow: Micropolar approach vs classical models

The peculiarities of nanocapillary flows are studied in the framework Newtonian and micropolar fluid models. classical problem a steady flow driven by constant pressure gradient is formulated for cylindrical with radius much smaller than its length. All possible boundary conditions (slip, no-slip, stick-slip) exploited model fluid, two alternative value problems (hyper-stick no-slip nonzero spin) considered model. Parametric studies analytical solutions fulfilled. rate calculated compared experimental data known literature. Real material constants water used analysis. It demonstrated that approach fails to explain simultaneously effects nanocapillaries: retardation capillary smooth walls acceleration rough walls. explanation given model, which natural extension