A thin layer of viscous fluid is transported by a vertical plane surface moving steadily upward under gravity. Some fluid drains downward, a tendency that can be augmented by blowing an air jet upon the layer from the side. An analysis is provided of the possible steady-flow solutions, leading to a relationship between the ultimate layer thickness and the strength of the jet. In order to test stability, a study is made of corresponding unsteady flows, the conclusion being that the stripped flow is stable to perturbations of long wavelength.