Shear force distribution and heat transfer in laminar boundary layer flows for power law fluid

Analytical and numerical solutions are presented for the momentum and energy laminar boundary layer equations in power law fluids utilizing a similarity transformation and the shooting technique. The results indicated that for power law exponents 0 < n ≤ 1, the skin friction σ decreases with increasing n, and the dimensionless shear force decreases with increasing dimensionless velocity t. When Pr = 1, the velocity distribution in the viscous boundary layer is the same as the temperature distribution in the thermal boundary layer and δ = δ
T
. For Pr > 1, the increase of the viscous diffusion exceeds that of thermal diffusion with increasing Pr, i.e., δ
T
(t) < δ(t). The thermal diffusion ratio increases with increasing n(O < n ≤ 1).