| Drag reduction by polymers in turbulent flows raises an apparent contradiction: the stretching of the polymers must increase the viscosity, so why is the drag reduced? A recent theory proposed that drag reduction, in agreement with experiments, is consistent with the effective viscosity growing linearly with the distance from the wall. With this self-consistent solution the reduction in the Reynolds stress overwhelms the increase in viscous drag. In this Rapid Communication we show, using direct numerical simulations, that a linear viscosity profile indeed reduces the drag in agreement with the theory and in close correspondence with direct simulations of the FENE-P model at the same flow conditions.
for LaTeX users @article{EDeAngelis2004-70,
author = {E. De. Angelis and C. M. Casciola and V. S. L'vov and A. Pomyalov and I. Procaccia and V. Tiberkevich},
title = {Drag reduction by a linear viscosity profile},
journal = {Phys. Rev. E},
volume = {70},
pages = {055301},
year = {2004}
}
\bibitem{EDeAngelis2004-70} E. De.Angelis, C.M. Casciola, V.S. L'vov, A. Pomyalov, I. Procaccia, V. Tiberkevich,
Drag reduction by a linear viscosity profile,
Phys. Rev. E {\bf 70} (2004) 055301 (R).EDeAngelis2004-70
E. De.Angelis, C.M. Casciola, V.S. L'vov, A. Pomyalov, I. Procaccia, V. Tiberkevich
Drag reduction by a linear viscosity profile
Phys. Rev. E,70,2004,055301 (R) |
mk@mat.ethz.ch
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