Theory of Concentration Dependence in Drag Reduction by Polymers and of the MDR asymptote

Details Theory of Concentration Dependence in Drag Reduction by Polymers and of the MDR asymptote Theory of Concentration Dependence in Drag Reduction by Polymers and of the MDR asymptote

2003-05-12

arxiv.org/abs/nlin/0305018v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevLett.92.078302

A simple model of the effect of polymer concentration on the amount of drag reduction in turbulence is presented, simulated and analyzed. The qualitative phase diagram of drag coefficient vs. Reynolds number (Re) is recaptured in this model, including the theoretically elusive onset of drag reduction and the Maximum Drag Reduction (MDR) asymptote. The Re-dependent drag and the MDR are analytically explained, and the dependence of the amount of drag on material parameters is rationalized.

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