The validity of the no-slip boundary condition is at the center of our current understanding of fluid mechanics. The widespread acceptance of the no-slip condition is based on a historical record of outstanding agreement between theories and experiments. It is commonly agreed that the no-slip condition results from inevitable microscopic roughness, which causes enough viscous dissipation to effectively bring the fluid to rest near the surface. The principal question addressed by these investigations concerns the applicability of the no-slip condition at a solid liquid boundary. In particular, when the fluid does not completely wet an atomically smooth substrate, then we might expect that the flow may exhibit some manifestations of microscopic slip. The paper investigates the flow of the non-Newtonian fluids in a circular pipe with slip boundary conditions, having as final result the velocity profile and the flow rate for a power-law fluid. A comparison of the model with experimental studies of flow in channels is made and a possible interpretation of the experimental results is offered.
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