Film entrained by a fiber quickly drawn out of a liquid bath

The thickness of the film entrained by a fiber quickly withdrawn out of a bath of wetting liquid is of interest. For velocities larger than a threshold (usually of the order of 1 m/s), inertia can no longer be neglected and must be incorporated in a generalized form of the classical Landau-Levich-Deryaguin model. It is shown here that the effect of inertia is to make the film thicker, which agrees with recent observations.