  Exact solutions are obtained for the steady flow of a power-law fluid between
parallel plates with partial slip conditions and uniform cross flow. The
problem is properly formulated and similarities are exploited. The exact
solutions are obtained in terms of integrals which can be performed, in closed
form, in special cases of the power-law index n. Solutions to cases of n=1/2,
1, and 2; representing a pseudo-plastic, a Newtonian, and a dilatant fluid,
respectively, are presented. Tendencies to corresponding degenerate cases in
the literature are demonstrated. Depending on the strength of the cross flow
and the pressure gradient, the flow may be of Couette type with convex, linear,
or concave velocity profile; or of Poiseuille type. Borderline cases are
identified. Moreover, a case in which the power-law model for the dilatant
fluid fails is detected.
