Abstract

On the basis of the continuum dynamics equations the mathematical model of evolution of an incompressible fluid flow in a circular pipe is developed taking into account non-newtonian properties of fluid and non-monotone viscosity dependence on temperature. The qualitative flow picture of anomalous thermoviscous non-newtonian fluid is similar to the flow picture of the anomalous thermoviscous newtonian fluid. Existence of viscosity anomaly leads to reduction of fluid hydraulic resistance.