Remarks on the flow between two parallel rotating plates

The flow of the classical linearly viscous fluid between two infinite parallel planes rotating with constant (but different) angular velocities about a common axis has received a great deal of attention during the past 60 years. However, until recently the emphasis has been on solutions which are axi-symmetric. Recently, Berker in his study of the flow between parallel planes, rotating with the same constant angular velocities about a common axis exhibited a one parameter family of solutions only one of which is axi-symmetric. In this study, the authors exhibit the existence of a one parameter family of solutions (for large viscosities) when the planes are rotating with constant but different angular velocities about a common axis or about non-coincident axes.