On the motion due to sources and sinks distributed on horizontal boundaries in a rotating fluid

The paper considers the flow of a fluid contained between infinite discs rotating with constant angular velocity, when subjected to a small, but otherwise general asymmetric distribution of sources and sinks across the discs. It is shown how the mass flux in the horizontal direction is equally shared by the two Ekman layers on the discs, how all horizontal flows depend only on the difference of the imposed velocities on the discs, and how in particular situations the geostrophic flow is unbounded.