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Through first-principles hydrodynamic calculations, the macroscopic behavior of the displacement of immiscible fluids in a capillary tube is linked to the microscopic parameters governing the dynamics of the moving contact line. Comparison with experimental data reveals that the contact line is dragged by a frictional force varying as U^x, where U is the mean flow velocity and x (1/2. Consideration of capillary-wave excitation at the fluid-fluid interface as the source mechanism of this frictional force yields predictions in excellent agreement with experimental data.
Zhou et al. (Thu,) studied this question.