Additive Equivalence in Turbulent Drag Reduction by Flexible and Rodlike Polymers

Details Additive Equivalence in Turbulent Drag Reduction by Flexible and Rodlike Polymers Additive Equivalence in Turbulent Drag Reduction by Flexible and Rodlike Polymers

2005-01-13

arxiv.org/abs/nlin/0501027v1

Phys. Rev. E., v. 72, 016305 (2005).

Nonlinear Sciences

Chaotic Dynamics

8 pages, PRE, submitted

Scientific paper

10.1103/PhysRevE.72.016305

We address the "Additive Equivalence" discovered by Virk and coworkers: drag reduction affected by flexible and rigid rodlike polymers added to turbulent wall-bounded flows is limited from above by a very similar Maximum Drag Reduction (MDR) asymptote. Considering the equations of motion of rodlike polymers in wall-bounded turbulent ensembles, we show that although the microscopic mechanism of attaining the MDR is very different, the macroscopic theory is isomorphic, rationalizing the interesting experimental observations.

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