Entrance region flow of a power-law fluid in concentric annuli with rotating inner wall

The laminar flow of a power-law non-Newtonian fluid in the entrance region of a concentric annulus is investigated numerically. The inner cylinder rotates with a constant angular velocity while the outer cylinder is stationary. Using the Prandtl boundary layer assumptions, the continuity and momentum equations are solved iteratively using a finite difference method. A Crank Nicolson method is used to obtain the velocity components and the pressure at each step of the axial direction. The development of the axial velocity profile, transverse (radial and tangential) velocity profiles, pressure drop have been studied. Computations are obtained for various axial positions and various flow indices.