Turbulent Drag Reduction by Flexible and Rodlike Polymers: Crossover Effects at Small Concentrations

Details Turbulent Drag Reduction by Flexible and Rodlike Polymers: Crossover Effects at Small Concentrations Turbulent Drag Reduction by Flexible and Rodlike Polymers: Crossover Effects at Small Concentrations

2006-02-26

arxiv.org/abs/nlin/0602055v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures, submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.74.026301

Drag reduction by polymers is bounded between two universal asymptotes, the von-K\'arm\'an log-law of the law and the Maximum Drag Reduction (MDR) asymptote. It is theoretically understood why the MDR asymptote is universal, independent of whether the polymers are flexible or rodlike. The cross-over behavior from the Newtonian von-K\'arm\'an log-law to the MDR is however not universal, showing different characteristics for flexible and rodlike polymers. In this paper we provide a theory for this cross-over phenomenology.

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