Boundary layer flow of power-law fluids past arbitrary profiles

Two-dimensional steady-state boundary layer equations of power-lawfluids are derived using a special coordinate system which makesthe equations independent of the body shape immersed in theflow. In deriving the boundary layer equations, the method ofmatched asymptotic expansions is used. It is shown that thesimilarity solutions for power-law fluids are much the sameas those of Newtonian fluids. Similarity solutions correspondingto the case of parallel flow past a flat plate and stagnation-pointflow are presented. Finally, the shear stress is calculatedfor different geometries.