Effect of inertial forces on the flow of viscous fluid through a slot between fixed and rotating surfaces of revolution

Steady laminar flow of a viscous fluid through a slot between fixed and rotating surfaces of revolution having a common axis of symmetry is analyzed. The boundary layer equations are formulated in terms of the intrinsic orthogonal curvilinear coordinate system fixed to one of the surfaces. The boundary layer equations are solved by the perturbation method. Formulas determining the velocity components and pressure are obtained.