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 indica...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(0<n≤1) .展开更多
文摘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(0<n≤1) .
