A physicochemical understanding of
the mechanism of turbulent flow
drag reduction with polymer and its degradation is of great interest
from both science and industry perspectives. Although the correlation
based on the Fourier series has been proposed to predict the drag
reduction and its degradation, its physical meaning was not clear
until now. This letter aims to clarify this issue. We develop a comprehensive
model to predict the drag reduction and degradation of polymers in
turbulent flow from a chemical thermodynamics and kinetics viewpoint.
We demonstrate that the Fourier series employed to predict the drag
reduction and its degradation is due to the viscoelastic property
of drag-reducing polymer solution, and the phase angle in the model,
in physical nature, represents the hysteresis of the polymer in turbulent
flow. Besides, our new insight of drag reduction with flexible polymers
can also explain why a maximum drag reduction in rotational flow appears
before degradation happens.