The sand slurry flow in a cylindrical pipe is investigated using the Ostwald de Waele model. The dependence of the fluid flow rate on the pressure drop is determined, dependencies for the radial distribution of velocity and effective viscosity of flow are obtained. It is shown that the distribution of effective viscosity is characterized by a monotonic increase as it approaches the pipe walls. As the consistency increases, the mechanical energy dissipation of the flow also increases leading to an increase in hydraulic resistance. During the flow of dilatant media with the low nonlinearity index, the hydraulic resistance decreases with increasing pressure drop. When this index is 2, the hydraulic resistance does not depend on the pressure drop and is determined only by the liquid properties and the channel size. At highe values of the nonlinearity index, the increased pressure drop leads to an increase in hydraulic resistance. Keywords