Shear Force Distribution and Heat Transfer in Laminar Boundary Layer Flows for Power Law Fluid

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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=δT. For Pr>1, the increase of the viscous diffusion exceeds that of thermal diffusion with increasing Pr, i.e., δT(t)<δ(t). The thermal diffusion ratio increases with increasing n(0<n≤1).
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