The liquid asphalt binder in a cylindrical tube is described in terms of the Ostwald-de Waele model. The dependence of the liquid flow rate on the pressure drop; dependencies are obtained for radial distribution of the flow rate and viscosity. The medium structuring, which is most noticeable at low values of nonlinearity leads to the almost uniform profile of the core flow rate, which is typical to the plastic flow. The liquid pseudoplastic media with a law nonlinearity is characterized by the presence of a highly viscous core and a narrow region of the near-wall flow with low values of effective viscosity. With increasing in medium consistency, the average viscosity increases. This effect is most pronounced for flow motions at a small pressure drop. For low values of the pressure drop, the non-Newtonian properties of the medium lead to a significant hydraulic resistance due to the presence of the inner structure. With increasing pressure drop, hydraulic resistance decreases due to the medium destruction.