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.
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