Onset and universality of drag reduction in the turbulent Kolmogorov flow

Details Onset and universality of drag reduction in the turbulent Kolmogorov flow Onset and universality of drag reduction in the turbulent Kolmogorov flow

2003-09-10

arxiv.org/abs/nlin/0309036v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures, revised version

Scientific paper

We investigate the phenomenon of drag reduction in a viscoelastic fluid model of dilute polymer solutions. By means of direct numerical simulations of the three-dimensional turbulent Kolmogorov flow we show that drag reduction takes place above a critical Reynolds number $Re_c$. An explicit expression for the dependence of $Re_c$ on polymer elasticity and diffusivity is derived. The values of the drag coefficient obtained for different fluid parameters collapse onto a universal curve when plotted as a function of the rescaled Reynolds number $Re/Re_c$. The analysis of the momentum budget allows to gain some insight on the physics of drag reduction, and suggests the existence of a maximum drag reduction asymptote.

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