Flow of a non-Newtonian second-order fluid under an enclosed rotating disc with uniform suction and injection

The flow of a non-Newtonian second-order fluid under a rotating disk enclosed on a coaxial cylindrical casing is investigated. The inlet condition is taken as a source flow of strength along the 2-axis. The presence of the shroud induces circulation about the axis of rotation. The bottom of the casing can be considered as a stationary disk placed parallel to and at a distance equal to the gap length from the rotating disk. Uniform suction on the rotor and equal injection at the stator are assumed. The equations of motion are solved by expanding the velocity functions in a series of ascending powers of Reynolds number. The second-order effects and those of suction and injection on the velocity components are investigated in detail in the regions of recirculation and no recirculation for the cases of radial outflow and inflow, and are shown graphically.