Statistics of Polymer Extension in a Random Flow with Mean Shear

Details Statistics of Polymer Extension in a Random Flow with Mean Shear Statistics of Polymer Extension in a Random Flow with Mean Shear

2004-11-28

arxiv.org/abs/cond-mat/0411705v1

Physics

Condensed Matter

Statistical Mechanics

submitted to Journal of Fluid Mechanics

Scientific paper

Considering the dynamics of a polymer with finite extensibility placed in a chaotic flow with large mean shear, we explain how the statistics of polymer extension changes with Weissenberg number, ${\it Wi}$, defined as the product of the polymer relaxation time and the Lyapunov exponent of the flow. Four regimes, of the ${\it Wi}$ number, are identified. One below the coil-stretched transition and three above the coil-stretched transition. Specific emphasis is given to explaining these regimes in terms of the polymer dynamics.

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