Drag reduction by polymer additives from turbulent spectra
Esteban Calzetta

TL;DR
This paper extends the analysis of turbulent pipe flow to include the effects of polymer additives, providing insights into how they reduce drag by modifying turbulent spectra.
Contribution
It introduces a theoretical extension of the turbulent spectra analysis to account for polymer-induced drag reduction in pipe flow.
Findings
Polymer additives alter turbulent spectra leading to drag reduction.
The extended model explains experimental observations of drag reduction.
The analysis predicts conditions for optimal polymer effectiveness.
Abstract
We extend the analysis of the friction factor for turbulent pipe flow reported by G. Gioia, P. Chakraborty and N. Goldenfeld (GCG) (G. Gioia and P. Chakraborty, Phys. Rev. Lett. 96, 044502 (2006), N. Goldenfeld, Phys. Rev. Lett. 96, 044503 (2006)) to the case where drag is reduced by polymer additives.
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