Abstract
The damping rate of the small free oscillations in a non-cylindrical, axi-symmetric liquid bridge between two circular disks is calculated and compared with some previous experimental measurements using hexadecane in a millimetric liquid bridge. Current theories, accounting for viscous damping in both the boundary layers attached to the disks and the bulk, underestimated the measured damping by a O(1) quantity; and no improvement resulted from calculations based on the full Navier-Stokes equations. These discrepancies are essentially eliminated in this paper considering the effect of the surface shear viscosity (whose value results from empirical fitness), which could be due to the presence of a contaminating monolayer. Some consequences are extracted in connection with surface wave damping in micro-fluidic devices.
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