A steady, two-dimensional, incompressible, laminar boundary layer flow in a circular swirl chamber with one half of the boundary stationary and the other half moving with a speed given by a cosine function of the angle in polar coordinates has been solved. The results obtained show that, as one moves away from the boundary, the velocity profile always overshoots the value of the external velocity and then oscillates about this value with an exponentially decaying amplitude. Moreover, they show that for a closed streamline flow problem a positive wall shear stress can occur at a boundary whose speed is larger than that of the external velocity, and vice versa.
Final rept. Sep 73-Apr 74,
See also AD-659 743. Prepared in cooperation with Michigan Univ., Ann Arbor under Contract F33615-74-C-1116.