An exact numerical solution to the 2-D(Two-Dimensional) laminar boundary-layer equations of power-law non-newtonian fluids is obtained using a finite difference technique. No limitation has been imposed on the flow behavior index(n) or generalized Prandli number As a test case, velocity and temperature fields around a circular cylinder in crossflow were calculated The result clearly indicated that heat transfer of power-law materials is governed by shear dependent viscosity.