A simple model for drag reduction

Details A simple model for drag reduction A simple model for drag reduction

2002-10-23

arxiv.org/abs/cond-mat/0210523v1

Physics

Condensed Matter

Statistical Mechanics

submitted to PRL

Scientific paper

10.1103/PhysRevE.68.025303

Direct Numerical Simulations established that the FENE-P model of viscoelastic flows exhibits the phenomenon of turbulent drag reduction which is caused in experiments by dilute polymeric additives. To gain analytic understanding of the phenomenon we introduce in this Letter a simple 1-dimensional model of the FENE-P equations. We demonstrate drag reduction in the simple model, and explain analytically the main observations which include (i) reduction of velocity gradients for fixed throughput and (ii) increase of throughput for fixed dissipation.

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