Flow and stability of a micropolar fluid past a rotating plane

An exact solution is given for the steady flow of a micropolar fluid occupying the halfspace past the plane z=0 uniformly rotating about a fixed normal axis (z-axis). This solution is obtained in a velocity field of the form considered by Berker and supposing the microrotation depending only on z. The stability of this flow is then studied using the energy method. The results are compared with those corresponding to the Newtonian case and can be deduced as a limiting case, as h tends to infinity, of the solution to the problem relative to the strip of width h.